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On this page are all graphs related to C4[ 48, 8 ].

Graphs which this one covers

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

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

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

Graphs which cover this one

     2-fold covered by C4[ 96, 23 ] = KE_24(1,13,10,21,1)

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

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

     3-fold covered by C4[ 144, 15 ] = R_ 72( 56, 19)

     3-fold covered by C4[ 144, 42 ] = UG(ATD[144,77])

     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, 88 ] = UG(ATD[192,44])

     4-fold covered by C4[ 192, 89 ] = UG(ATD[192,47])

     4-fold covered by C4[ 192, 90 ] = UG(ATD[192,49])

     4-fold covered by C4[ 192, 108 ] = UG(ATD[192,165])

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

     4-fold covered by C4[ 192, 111 ] = UG(ATD[192,183])

     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, 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, 155 ] = SDD(KE_12(1,7,4,9,1))

     5-fold covered by C4[ 240, 32 ] = R_120( 32, 91)

     5-fold covered by C4[ 240, 77 ] = UG(ATD[240,110])

     6-fold covered by C4[ 288, 116 ] = UG(ATD[288,206])

     6-fold covered by C4[ 288, 117 ] = UG(ATD[288,209])

     6-fold covered by C4[ 288, 118 ] = UG(ATD[288,212])

     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, 149 ] = PL(ATD[24,8]#DCyc[3])

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

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

     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))

     7-fold covered by C4[ 336, 30 ] = R_168(128, 43)

     7-fold covered by C4[ 336, 61 ] = UG(ATD[336,39])

     7-fold covered by C4[ 336, 72 ] = UG(ATD[336,121])

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

     8-fold covered by C4[ 384, 126 ] = UG(ATD[384,29])

     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, 142 ] = UG(ATD[384,73])

     8-fold covered by C4[ 384, 184 ] = UG(ATD[384,185])

     8-fold covered by C4[ 384, 185 ] = UG(ATD[384,188])

     8-fold covered by C4[ 384, 186 ] = UG(ATD[384,189])

     8-fold covered by C4[ 384, 187 ] = UG(ATD[384,192])

     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, 259 ] = UG(ATD[384,485])

     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, 269 ] = UG(ATD[384,515])

     8-fold covered by C4[ 384, 275 ] = UG(ATD[384,533])

     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, 279 ] = UG(ATD[384,545])

     8-fold covered by C4[ 384, 282 ] = UG(ATD[384,554])

     8-fold covered by C4[ 384, 284 ] = UG(ATD[384,560])

     8-fold covered by C4[ 384, 300 ] = UG(ATD[384,609])

     8-fold covered by C4[ 384, 301 ] = UG(ATD[384,611])

     8-fold covered by C4[ 384, 302 ] = UG(ATD[384,614])

     8-fold covered by C4[ 384, 303 ] = UG(ATD[384,616])

     8-fold covered by C4[ 384, 304 ] = UG(ATD[384,617])

     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, 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, 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, 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, 484 ] = BGCG(UG(ATD[192,38]); K1;{8, 10})

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

     8-fold covered by C4[ 384, 498 ] = BGCG(UG(ATD[192,55]); K1;{1, 3})

     8-fold covered by C4[ 384, 499 ] = BGCG(UG(ATD[192,55]); K1;{4, 5})

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

     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)

     9-fold covered by C4[ 432, 31 ] = R_216( 56, 163)

     9-fold covered by C4[ 432, 75 ] = UG(ATD[432,73])

     9-fold covered by C4[ 432, 79 ] = UG(ATD[432,81])

     9-fold covered by C4[ 432, 102 ] = UG(ATD[432,145])

     9-fold covered by C4[ 432, 151 ] = UG(ATD[432,330])

     9-fold covered by C4[ 432, 152 ] = UG(ATD[432,333])

     9-fold covered by C4[ 432, 153 ] = UG(ATD[432,336])

     9-fold covered by C4[ 432, 279 ] = BGCG(UG(ATD[216,138]); K1;{3, 5})

     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, 163 ] = UG(ATD[480,83])

     10-fold covered by C4[ 480, 206 ] = UG(ATD[480,284])

     10-fold covered by C4[ 480, 207 ] = UG(ATD[480,287])

     10-fold covered by C4[ 480, 208 ] = UG(ATD[480,290])

     10-fold covered by C4[ 480, 209 ] = UG(ATD[480,291])

     10-fold covered by C4[ 480, 210 ] = UG(ATD[480,294])

     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, 351 ] = PL(CSI(R_ 12( 11, 4)[ 3^ 16], 5))

     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, 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]

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

      C4[ 96, 12 ] = R_ 48( 38, 13)    with connection graph  [K_1]

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

      C4[ 96, 41 ] = XI(Rmap(48,7){4,6|4}_12)    with connection graph  [K_1]

      C4[ 96, 49 ] = PL(CS(R_ 6( 5, 4)[ 3^ 8], 1))    with connection graph  [K_1]

      C4[ 192, 100 ] = UG(ATD[192,141])    with connection graph  [K_2]

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

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

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

      C4[ 288, 194 ] = BGCG(R_ 24( 8, 19), C_ 3, 1)    with connection graph  [C_3]

      C4[ 288, 195 ] = BGCG(R_ 24( 8, 19), C_ 3, 2)    with connection graph  [C_3]

      C4[ 288, 196 ] = BGCG(R_ 24( 8, 19), C_ 3, {3, 6})    with connection graph  [C_3]

      C4[ 288, 197 ] = BGCG(R_ 24( 8, 19), C_ 3, {4, 5})    with connection graph  [C_3]

      C4[ 384, 77 ] = PL(Curtain_48(1,6,25,32,38),[8^24,16^12])    with connection graph  [C_4]

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

      C4[ 384, 202 ] = UG(ATD[384,233])    with connection graph  [K_4]

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

      C4[ 384, 258 ] = UG(ATD[384,484])    with connection graph  [K_4]

      C4[ 384, 271 ] = UG(ATD[384,521])    with connection graph  [C_4]

      C4[ 384, 272 ] = UG(ATD[384,524])    with connection graph  [C_4]

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

      C4[ 384, 398 ] = BGCG(R_ 24( 8, 19), C_ 4, {3, 4, 5, 6})    with connection graph  [C_4]

      C4[ 384, 398 ] = BGCG(R_ 24( 8, 19), C_ 4, {3, 4, 5, 6})    with connection graph  [K_4]

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

      C4[ 384, 505 ] = BGCG(UG(ATD[192,146]); K1;{11, 12})    with connection graph  [C_4]

      C4[ 384, 529 ] = BGCG(UG(ATD[192,183]); K1;{13, 15})    with connection graph  [C_4]

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

      C4[ 480, 273 ] = UG(ATD[480,446])    with connection graph  [K_5]

      C4[ 480, 360 ] = BGCG(R_ 24( 8, 19), C_ 5, 1)    with connection graph  [C_5]

      C4[ 480, 361 ] = BGCG(R_ 24( 8, 19), C_ 5, 2)    with connection graph  [C_5]

      C4[ 480, 362 ] = BGCG(R_ 24( 8, 19), C_ 5, {3, 6})    with connection graph  [C_5]

      C4[ 480, 363 ] = BGCG(R_ 24( 8, 19), C_ 5, {4, 5})    with connection graph  [C_5]

      C4[ 480, 498 ] = BGCG(UG(ATD[240,150]); K1;{12, 14})    with connection graph  [K_5]

      C4[ 480, 499 ] = BGCG(UG(ATD[240,150]); K1;{13, 15})    with connection graph  [K_5]

Aut-Orbital graphs of this one:

      C4[ 8, 1 ] = K_4,4

      C4[ 48, 8 ] = R_ 24( 8, 19)