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On this page are all graphs related to C4[ 48, 12 ].

Graphs which this one covers

     8-fold cover of C4[ 6, 1 ] = Octahedron

     4-fold cover of C4[ 12, 1 ] = W( 6, 2)

     4-fold cover of C4[ 12, 2 ] = R_ 6( 5, 4)

     2-fold cover of C4[ 24, 4 ] = R_ 12( 8, 7)

     2-fold cover of C4[ 24, 5 ] = R_ 12( 11, 4)

     2-fold cover of C4[ 24, 6 ] = R_ 12( 5, 10)

Graphs which cover this one

     2-fold covered by C4[ 96, 39 ] = UG(ATD[96,55])

     2-fold covered by C4[ 96, 40 ] = UG(ATD[96,61])

     2-fold covered by C4[ 96, 51 ] = SDD(R_ 12( 11, 4))

     2-fold covered by C4[ 96, 52 ] = SDD(R_ 12( 5, 10))

     3-fold covered by C4[ 144, 25 ] = KE_36(1,19,16,33,1)

     3-fold covered by C4[ 144, 40 ] = UG(ATD[144,69])

     3-fold covered by C4[ 144, 41 ] = UG(ATD[144,72])

     4-fold covered by C4[ 192, 66 ] = PL(Curtain_24(1,12,5,7,17),[4^24,16^6])

     4-fold covered by C4[ 192, 67 ] = PL(Curtain_24(1,12,7,11,23),[4^24,16^6])

     4-fold covered by C4[ 192, 77 ] = UG(ATD[192,7])

     4-fold covered by C4[ 192, 85 ] = UG(ATD[192,35])

     4-fold covered by C4[ 192, 86 ] = UG(ATD[192,38])

     4-fold covered by C4[ 192, 87 ] = UG(ATD[192,41])

     4-fold covered by C4[ 192, 109 ] = UG(ATD[192,171])

     4-fold covered by C4[ 192, 110 ] = UG(ATD[192,177])

     4-fold covered by C4[ 192, 114 ] = UG(ATD[192,192])

     4-fold covered by C4[ 192, 115 ] = UG(ATD[192,195])

     4-fold covered by C4[ 192, 124 ] = PL(ATD[6,1]#ATD[24,7])

     4-fold covered by C4[ 192, 125 ] = PL(ATD[6,1]#ATD[24,9])

     4-fold covered by C4[ 192, 142 ] = PL(CS(R_ 12( 11, 4)[ 12^ 4], 0))

     4-fold covered by C4[ 192, 143 ] = PL(CS(R_ 12( 11, 4)[ 12^ 4], 1))

     4-fold covered by C4[ 192, 144 ] = PL(CS(R_ 12( 11, 4)[ 3^ 16], 0))

     4-fold covered by C4[ 192, 145 ] = PL(CS(R_ 12( 11, 4)[ 3^ 16], 1))

     4-fold covered by C4[ 192, 146 ] = PL(CS(R_ 12( 5, 10)[ 12^ 4], 0))

     4-fold covered by C4[ 192, 147 ] = PL(CS(R_ 12( 5, 10)[ 12^ 4], 1))

     4-fold covered by C4[ 192, 148 ] = PL(CS(R_ 12( 5, 10)[ 6^ 8], 0))

     4-fold covered by C4[ 192, 149 ] = PL(CS(R_ 12( 5, 10)[ 6^ 8], 1))

     4-fold covered by C4[ 192, 155 ] = SDD(KE_12(1,7,4,9,1))

     5-fold covered by C4[ 240, 52 ] = KE_60(1,31,28,57,1)

     5-fold covered by C4[ 240, 54 ] = KE_60(1,27,20,17,11)

     5-fold covered by C4[ 240, 76 ] = UG(ATD[240,105])

     6-fold covered by C4[ 288, 115 ] = UG(ATD[288,203])

     6-fold covered by C4[ 288, 120 ] = UG(ATD[288,218])

     6-fold covered by C4[ 288, 121 ] = UG(ATD[288,221])

     6-fold covered by C4[ 288, 122 ] = UG(ATD[288,224])

     6-fold covered by C4[ 288, 126 ] = UG(ATD[288,236])

     6-fold covered by C4[ 288, 127 ] = UG(ATD[288,239])

     6-fold covered by C4[ 288, 128 ] = UG(ATD[288,242])

     6-fold covered by C4[ 288, 143 ] = PL(ATD[9,1]#ATD[24,7])

     6-fold covered by C4[ 288, 144 ] = PL(ATD[9,1]#ATD[24,9])

     6-fold covered by C4[ 288, 149 ] = PL(ATD[24,8]#DCyc[3])

     6-fold covered by C4[ 288, 150 ] = PL(ATD[24,10]#DCyc[3])

     6-fold covered by C4[ 288, 172 ] = PL(CSI(R_ 12( 11, 4)[ 3^ 16], 3))

     6-fold covered by C4[ 288, 173 ] = PL(CSI(R_ 12( 5, 10)[ 6^ 8], 3))

     6-fold covered by C4[ 288, 204 ] = BGCG(KE_12(1,7,4,9,1), C_ 3, 10)

     6-fold covered by C4[ 288, 205 ] = BGCG(KE_12(1,7,4,9,1), C_ 3, 11)

     6-fold covered by C4[ 288, 212 ] = SDD(R_ 36( 29, 10))

     6-fold covered by C4[ 288, 213 ] = SDD(R_ 36( 11, 28))

     6-fold covered by C4[ 288, 215 ] = SDD(Pr_ 24( 1, 1, 5, 5))

     6-fold covered by C4[ 288, 216 ] = SDD(Pr_ 24( 1, 13, 17, 5))

     7-fold covered by C4[ 336, 59 ] = UG(ATD[336,35])

     7-fold covered by C4[ 336, 60 ] = UG(ATD[336,37])

     7-fold covered by C4[ 336, 69 ] = UG(ATD[336,110])

     7-fold covered by C4[ 336, 70 ] = UG(ATD[336,113])

     7-fold covered by C4[ 336, 71 ] = UG(ATD[336,116])

     8-fold covered by C4[ 384, 124 ] = UG(ATD[384,25])

     8-fold covered by C4[ 384, 125 ] = UG(ATD[384,27])

     8-fold covered by C4[ 384, 128 ] = UG(ATD[384,33])

     8-fold covered by C4[ 384, 129 ] = UG(ATD[384,35])

     8-fold covered by C4[ 384, 130 ] = UG(ATD[384,37])

     8-fold covered by C4[ 384, 131 ] = UG(ATD[384,39])

     8-fold covered by C4[ 384, 181 ] = UG(ATD[384,178])

     8-fold covered by C4[ 384, 190 ] = UG(ATD[384,197])

     8-fold covered by C4[ 384, 191 ] = UG(ATD[384,200])

     8-fold covered by C4[ 384, 192 ] = UG(ATD[384,203])

     8-fold covered by C4[ 384, 196 ] = UG(ATD[384,215])

     8-fold covered by C4[ 384, 197 ] = UG(ATD[384,218])

     8-fold covered by C4[ 384, 198 ] = UG(ATD[384,221])

     8-fold covered by C4[ 384, 261 ] = UG(ATD[384,491])

     8-fold covered by C4[ 384, 263 ] = UG(ATD[384,497])

     8-fold covered by C4[ 384, 267 ] = UG(ATD[384,509])

     8-fold covered by C4[ 384, 276 ] = UG(ATD[384,536])

     8-fold covered by C4[ 384, 277 ] = UG(ATD[384,539])

     8-fold covered by C4[ 384, 278 ] = UG(ATD[384,542])

     8-fold covered by C4[ 384, 288 ] = UG(ATD[384,573])

     8-fold covered by C4[ 384, 289 ] = UG(ATD[384,576])

     8-fold covered by C4[ 384, 290 ] = UG(ATD[384,579])

     8-fold covered by C4[ 384, 291 ] = UG(ATD[384,582])

     8-fold covered by C4[ 384, 292 ] = UG(ATD[384,585])

     8-fold covered by C4[ 384, 293 ] = UG(ATD[384,588])

     8-fold covered by C4[ 384, 294 ] = UG(ATD[384,591])

     8-fold covered by C4[ 384, 295 ] = UG(ATD[384,594])

     8-fold covered by C4[ 384, 296 ] = UG(ATD[384,597])

     8-fold covered by C4[ 384, 297 ] = UG(ATD[384,600])

     8-fold covered by C4[ 384, 298 ] = UG(ATD[384,603])

     8-fold covered by C4[ 384, 299 ] = UG(ATD[384,606])

     8-fold covered by C4[ 384, 324 ] = PL(ATD[6,1]#ATD[48,16])

     8-fold covered by C4[ 384, 348 ] = PL(ATD[12,4]#ATD[24,7])

     8-fold covered by C4[ 384, 349 ] = PL(ATD[12,4]#ATD[24,9])

     8-fold covered by C4[ 384, 352 ] = PL(ATD[24,8]#DCyc[4])

     8-fold covered by C4[ 384, 353 ] = PL(ATD[48,15]#DCyc[4])

     8-fold covered by C4[ 384, 360 ] = SDD(UG(ATD[96,11]))

     8-fold covered by C4[ 384, 369 ] = XI(Rmap(192,66){8,6|8}_12)

     8-fold covered by C4[ 384, 374 ] = SDD(UG(ATD[96,61]))

     8-fold covered by C4[ 384, 383 ] = PL(CSI(R_ 12( 11, 4)[ 3^ 16], 8))

     8-fold covered by C4[ 384, 384 ] = PL(CSI(R_ 12( 5, 10)[ 6^ 8], 8))

     8-fold covered by C4[ 384, 407 ] = PL(CS(KE_12(1,7,4,9,1)[ 12^ 8], 1))

     8-fold covered by C4[ 384, 408 ] = PL(CS(KE_12(1,7,4,9,1)[ 6^ 16], 1))

     8-fold covered by C4[ 384, 409 ] = PL(CS(KE_12(1,7,4,9,1)[ 8^ 12], 1))

     8-fold covered by C4[ 384, 410 ] = BGCG(KE_12(1,7,4,9,1), C_ 4, {10, 11})

     8-fold covered by C4[ 384, 438 ] = BGCG(UG(ATD[96,11]); K2;{3, 4})

     8-fold covered by C4[ 384, 439 ] = SDD(UG(ATD[96,13]))

     8-fold covered by C4[ 384, 440 ] = BGCG(UG(ATD[96,13]); K2;{1, 6})

     8-fold covered by C4[ 384, 445 ] = SDD(UG(ATD[96,55]))

     8-fold covered by C4[ 384, 481 ] = BGCG(UG(ATD[192,38]); K1;4)

     8-fold covered by C4[ 384, 482 ] = BGCG(UG(ATD[192,38]); K1;5)

     8-fold covered by C4[ 384, 483 ] = BGCG(UG(ATD[192,38]); K1;7)

     8-fold covered by C4[ 384, 486 ] = BGCG(UG(ATD[192,41]); K1;3)

     8-fold covered by C4[ 384, 487 ] = BGCG(UG(ATD[192,41]); K1;8)

     8-fold covered by C4[ 384, 526 ] = BGCG(UG(ATD[192,177]); K1;3)

     8-fold covered by C4[ 384, 527 ] = BGCG(UG(ATD[192,177]); K1;5)

     8-fold covered by C4[ 384, 530 ] = BGCG(UG(ATD[192,199]); K1;3)

     8-fold covered by C4[ 384, 531 ] = BGCG(UG(ATD[192,199]); K1;5)

     8-fold covered by C4[ 384, 532 ] = BGCG(UG(ATD[192,201]); K1;7)

     8-fold covered by C4[ 384, 533 ] = BGCG(UG(ATD[192,203]); K1;1)

     8-fold covered by C4[ 384, 534 ] = BGCG(UG(ATD[192,203]); K1;6)

     8-fold covered by C4[ 384, 535 ] = BGCG(UG(ATD[192,205]); K1;5)

     9-fold covered by C4[ 432, 58 ] = UG(ATD[432,15])

     9-fold covered by C4[ 432, 59 ] = UG(ATD[432,17])

     9-fold covered by C4[ 432, 73 ] = UG(ATD[432,69])

     9-fold covered by C4[ 432, 74 ] = UG(ATD[432,71])

     9-fold covered by C4[ 432, 77 ] = UG(ATD[432,77])

     9-fold covered by C4[ 432, 80 ] = UG(ATD[432,83])

     9-fold covered by C4[ 432, 143 ] = UG(ATD[432,304])

     9-fold covered by C4[ 432, 144 ] = UG(ATD[432,307])

     9-fold covered by C4[ 432, 145 ] = UG(ATD[432,310])

     9-fold covered by C4[ 432, 146 ] = UG(ATD[432,313])

     9-fold covered by C4[ 432, 147 ] = UG(ATD[432,316])

     9-fold covered by C4[ 432, 148 ] = UG(ATD[432,319])

     9-fold covered by C4[ 432, 149 ] = UG(ATD[432,322])

     9-fold covered by C4[ 432, 150 ] = UG(ATD[432,325])

     9-fold covered by C4[ 432, 278 ] = BGCG(UG(ATD[216,138]); K1;{1, 7})

     9-fold covered by C4[ 432, 280 ] = BGCG(UG(ATD[216,140]); K1;{2, 7})

     10-fold covered by C4[ 480, 128 ] = PL(Curtain_60(1,12,5,17,31),[8^30,10^24])

     10-fold covered by C4[ 480, 129 ] = PL(Curtain_60(1,12,31,35,47),[8^30,10^24])

     10-fold covered by C4[ 480, 161 ] = UG(ATD[480,79])

     10-fold covered by C4[ 480, 163 ] = UG(ATD[480,83])

     10-fold covered by C4[ 480, 204 ] = UG(ATD[480,280])

     10-fold covered by C4[ 480, 213 ] = UG(ATD[480,299])

     10-fold covered by C4[ 480, 214 ] = UG(ATD[480,302])

     10-fold covered by C4[ 480, 215 ] = UG(ATD[480,305])

     10-fold covered by C4[ 480, 219 ] = UG(ATD[480,317])

     10-fold covered by C4[ 480, 220 ] = UG(ATD[480,320])

     10-fold covered by C4[ 480, 221 ] = UG(ATD[480,323])

     10-fold covered by C4[ 480, 302 ] = PL(ATD[24,8]#DCyc[5])

     10-fold covered by C4[ 480, 303 ] = PL(ATD[24,10]#DCyc[5])

     10-fold covered by C4[ 480, 351 ] = PL(CSI(R_ 12( 11, 4)[ 3^ 16], 5))

     10-fold covered by C4[ 480, 352 ] = PL(CSI(R_ 12( 5, 10)[ 6^ 8], 5))

     10-fold covered by C4[ 480, 371 ] = BGCG(KE_12(1,7,4,9,1), C_ 5, 10)

     10-fold covered by C4[ 480, 372 ] = BGCG(KE_12(1,7,4,9,1), C_ 5, 11)

     10-fold covered by C4[ 480, 439 ] = SDD(R_ 60( 47, 16))

     10-fold covered by C4[ 480, 440 ] = SDD(R_ 60( 17, 46))

     10-fold covered by C4[ 480, 441 ] = SDD(Pr_ 40( 1, 13, 17, 29))

     10-fold covered by C4[ 480, 442 ] = SDD(Pr_ 40( 1, 33, 37, 29))

BGCG dissections of this graph

     Base Graph: C4[ 8, 1 ] = K_4,4   connection graph:  [C_3]

     Base Graph: C4[ 24, 5 ] = R_ 12( 11, 4)   connection graph:  [K_1]

     Base Graph: C4[ 24, 6 ] = R_ 12( 5, 10)   connection graph:  [K_1]

Graphs which have this one as the base graph in a BGCG dissection:

      C4[ 96, 23 ] = KE_24(1,13,10,21,1)    with connection graph  [K_1]

      C4[ 96, 28 ] = KE_24(1,11,2,3,11)    with connection graph  [K_1]

      C4[ 96, 39 ] = UG(ATD[96,55])    with connection graph  [K_1]

      C4[ 96, 40 ] = UG(ATD[96,61])    with connection graph  [K_1]

      C4[ 192, 111 ] = UG(ATD[192,183])    with connection graph  [K_2]

      C4[ 192, 112 ] = UG(ATD[192,186])    with connection graph  [K_2]

      C4[ 192, 113 ] = UG(ATD[192,189])    with connection graph  [K_2]

      C4[ 192, 114 ] = UG(ATD[192,192])    with connection graph  [K_2]

      C4[ 192, 115 ] = UG(ATD[192,195])    with connection graph  [K_2]

      C4[ 192, 126 ] = PL(ATD[12,1]#DCyc[4])    with connection graph  [K_2]

      C4[ 192, 141 ] = PL(CS(R_ 12( 8, 7)[ 6^ 8], 1))    with connection graph  [K_2]

      C4[ 192, 148 ] = PL(CS(R_ 12( 5, 10)[ 6^ 8], 0))    with connection graph  [K_2]

      C4[ 192, 153 ] = BGCG(R_ 24( 20, 7); K2;{8, 9})    with connection graph  [K_2]

      C4[ 288, 115 ] = UG(ATD[288,203])    with connection graph  [C_3]

      C4[ 288, 117 ] = UG(ATD[288,209])    with connection graph  [C_3]

      C4[ 288, 118 ] = UG(ATD[288,212])    with connection graph  [C_3]

      C4[ 288, 119 ] = UG(ATD[288,215])    with connection graph  [C_3]

      C4[ 288, 122 ] = UG(ATD[288,224])    with connection graph  [C_3]

      C4[ 288, 128 ] = UG(ATD[288,242])    with connection graph  [C_3]

      C4[ 288, 143 ] = PL(ATD[9,1]#ATD[24,7])    with connection graph  [C_3]

      C4[ 288, 144 ] = PL(ATD[9,1]#ATD[24,9])    with connection graph  [C_3]

      C4[ 288, 149 ] = PL(ATD[24,8]#DCyc[3])    with connection graph  [C_3]

      C4[ 288, 150 ] = PL(ATD[24,10]#DCyc[3])    with connection graph  [C_3]

      C4[ 288, 204 ] = BGCG(KE_12(1,7,4,9,1), C_ 3, 10)    with connection graph  [C_3]

      C4[ 288, 205 ] = BGCG(KE_12(1,7,4,9,1), C_ 3, 11)    with connection graph  [C_3]

      C4[ 384, 180 ] = UG(ATD[384,175])    with connection graph  [K_4]

      C4[ 384, 183 ] = UG(ATD[384,182])    with connection graph  [K_4]

      C4[ 384, 191 ] = UG(ATD[384,200])    with connection graph  [K_4]

      C4[ 384, 197 ] = UG(ATD[384,218])    with connection graph  [K_4]

      C4[ 384, 248 ] = UG(ATD[384,454])    with connection graph  [K_4]

      C4[ 384, 249 ] = UG(ATD[384,457])    with connection graph  [K_4]

      C4[ 384, 250 ] = UG(ATD[384,460])    with connection graph  [K_4]

      C4[ 384, 254 ] = UG(ATD[384,472])    with connection graph  [K_4]

      C4[ 384, 267 ] = UG(ATD[384,509])    with connection graph  [C_4]

      C4[ 384, 268 ] = UG(ATD[384,512])    with connection graph  [C_4]

      C4[ 384, 269 ] = UG(ATD[384,515])    with connection graph  [C_4]

      C4[ 384, 270 ] = UG(ATD[384,518])    with connection graph  [C_4]

      C4[ 384, 276 ] = UG(ATD[384,536])    with connection graph  [C_4]

      C4[ 384, 277 ] = UG(ATD[384,539])    with connection graph  [C_4]

      C4[ 384, 293 ] = UG(ATD[384,588])    with connection graph  [K_4]

      C4[ 384, 294 ] = UG(ATD[384,591])    with connection graph  [K_4]

      C4[ 384, 295 ] = UG(ATD[384,594])    with connection graph  [K_4]

      C4[ 384, 301 ] = UG(ATD[384,611])    with connection graph  [K_4]

      C4[ 384, 302 ] = UG(ATD[384,614])    with connection graph  [K_4]

      C4[ 384, 306 ] = UG(ATD[384,620])    with connection graph  [K_4]

      C4[ 384, 307 ] = UG(ATD[384,623])    with connection graph  [K_4]

      C4[ 384, 348 ] = PL(ATD[12,4]#ATD[24,7])    with connection graph  [K_4]

      C4[ 384, 349 ] = PL(ATD[12,4]#ATD[24,9])    with connection graph  [K_4]

      C4[ 384, 352 ] = PL(ATD[24,8]#DCyc[4])    with connection graph  [C_4]

      C4[ 384, 397 ] = BGCG(R_ 24( 8, 19), C_ 4, {1, 2})    with connection graph  [C_4]

      C4[ 384, 410 ] = BGCG(KE_12(1,7,4,9,1), C_ 4, {10, 11})    with connection graph  [C_4]

      C4[ 384, 429 ] = BGCG(KE_24(1,9,8,5,5); K2;{2, 3})    with connection graph  [C_4]

      C4[ 384, 485 ] = BGCG(UG(ATD[192,38]); K1;9)    with connection graph  [C_4]

      C4[ 384, 485 ] = BGCG(UG(ATD[192,38]); K1;9)    with connection graph  [K_4]

      C4[ 384, 520 ] = BGCG(UG(ATD[192,158]); K1;3)    with connection graph  [C_4]

      C4[ 384, 520 ] = BGCG(UG(ATD[192,158]); K1;3)    with connection graph  [K_4]

      C4[ 384, 526 ] = BGCG(UG(ATD[192,177]); K1;3)    with connection graph  [C_4]

      C4[ 384, 527 ] = BGCG(UG(ATD[192,177]); K1;5)    with connection graph  [C_4]

      C4[ 384, 545 ] = SS[384, 17]    with connection graph  [C_4]

      C4[ 384, 545 ] = SS[384, 17]    with connection graph  [K_4]

      C4[ 480, 128 ] = PL(Curtain_60(1,12,5,17,31),[8^30,10^24])    with connection graph  [C_5]

      C4[ 480, 129 ] = PL(Curtain_60(1,12,31,35,47),[8^30,10^24])    with connection graph  [C_5]

      C4[ 480, 204 ] = UG(ATD[480,280])    with connection graph  [C_5]

      C4[ 480, 207 ] = UG(ATD[480,287])    with connection graph  [C_5]

      C4[ 480, 209 ] = UG(ATD[480,291])    with connection graph  [C_5]

      C4[ 480, 211 ] = UG(ATD[480,295])    with connection graph  [C_5]

      C4[ 480, 215 ] = UG(ATD[480,305])    with connection graph  [C_5]

      C4[ 480, 221 ] = UG(ATD[480,323])    with connection graph  [C_5]

      C4[ 480, 243 ] = UG(ATD[480,366])    with connection graph  [K_5]

      C4[ 480, 247 ] = UG(ATD[480,378])    with connection graph  [K_5]

      C4[ 480, 250 ] = UG(ATD[480,387])    with connection graph  [K_5]

      C4[ 480, 254 ] = UG(ATD[480,399])    with connection graph  [K_5]

      C4[ 480, 259 ] = UG(ATD[480,414])    with connection graph  [K_5]

      C4[ 480, 265 ] = UG(ATD[480,432])    with connection graph  [K_5]

      C4[ 480, 302 ] = PL(ATD[24,8]#DCyc[5])    with connection graph  [C_5]

      C4[ 480, 303 ] = PL(ATD[24,10]#DCyc[5])    with connection graph  [C_5]

      C4[ 480, 371 ] = BGCG(KE_12(1,7,4,9,1), C_ 5, 10)    with connection graph  [C_5]

      C4[ 480, 372 ] = BGCG(KE_12(1,7,4,9,1), C_ 5, 11)    with connection graph  [C_5]

      C4[ 480, 485 ] = BGCG(UG(ATD[240,136]); K1;{1, 6})    with connection graph  [K_5]

      C4[ 480, 486 ] = BGCG(UG(ATD[240,136]); K1;{5, 8})    with connection graph  [K_5]

Aut-Orbital graphs of this one:

      C4[ 8, 1 ] = K_4,4

      C4[ 24, 5 ] = R_ 12( 11, 4)

      C4[ 24, 6 ] = R_ 12( 5, 10)

      C4[ 48, 12 ] = KE_12(1,7,4,9,1)