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On this page are all graphs related to C4[ 24, 6 ].

Graphs which this one covers

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

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

Graphs which cover this one

     2-fold covered by C4[ 48, 12 ] = KE_12(1,7,4,9,1)

     3-fold covered by C4[ 72, 10 ] = R_ 36( 29, 10)

     3-fold covered by C4[ 72, 14 ] = Pr_ 24( 1, 13, 17, 5)

     4-fold covered by C4[ 96, 37 ] = UG(ATD[96,13])

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

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

     5-fold covered by C4[ 120, 19 ] = R_ 60( 17, 46)

     5-fold covered by C4[ 120, 24 ] = Pr_ 40( 1, 13, 17, 29)

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

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

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

     7-fold covered by C4[ 168, 19 ] = R_ 84( 65, 22)

     7-fold covered by C4[ 168, 26 ] = Pr_ 56( 1, 5, 9, 13)

     7-fold covered by C4[ 168, 37 ] = UG(ATD[168,19])

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

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

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

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

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

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

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

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

     8-fold covered by C4[ 192, 118 ] = UG(ATD[192,203])

     8-fold covered by C4[ 192, 119 ] = UG(ATD[192,205])

     9-fold covered by C4[ 216, 20 ] = R_108( 29, 82)

     9-fold covered by C4[ 216, 23 ] = Pr_ 72( 1, 61, 65, 53)

     9-fold covered by C4[ 216, 37 ] = UG(ATD[216,9])

     9-fold covered by C4[ 216, 45 ] = UG(ATD[216,39])

     9-fold covered by C4[ 216, 46 ] = UG(ATD[216,41])

     9-fold covered by C4[ 216, 66 ] = UG(ATD[216,132])

     9-fold covered by C4[ 216, 68 ] = UG(ATD[216,140])

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

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

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

     11-fold covered by C4[ 264, 12 ] = R_132(101, 34)

     11-fold covered by C4[ 264, 18 ] = Pr_ 88( 1, 53, 57, 21)

     12-fold covered by C4[ 288, 105 ] = UG(ATD[288,126])

     12-fold covered by C4[ 288, 107 ] = UG(ATD[288,130])

     12-fold covered by C4[ 288, 109 ] = UG(ATD[288,134])

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

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

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

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

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

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

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

     13-fold covered by C4[ 312, 29 ] = R_156( 41, 118)

     13-fold covered by C4[ 312, 34 ] = Pr_104( 1, 37, 41, 77)

     13-fold covered by C4[ 312, 46 ] = UG(ATD[312,33])

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

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

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

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

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

     15-fold covered by C4[ 360, 34 ] = R_180(137, 46)

     15-fold covered by C4[ 360, 52 ] = Pr_120( 1, 13, 17, 29)

     15-fold covered by C4[ 360, 81 ] = UG(ATD[360,126])

     15-fold covered by C4[ 360, 83 ] = UG(ATD[360,130])

     16-fold covered by C4[ 384, 123 ] = UG(ATD[384,23])

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

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

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

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

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

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

     16-fold covered by C4[ 384, 163 ] = UG(ATD[384,127])

     16-fold covered by C4[ 384, 165 ] = UG(ATD[384,131])

     16-fold covered by C4[ 384, 167 ] = UG(ATD[384,135])

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

     17-fold covered by C4[ 408, 24 ] = R_204( 53, 154)

     17-fold covered by C4[ 408, 30 ] = Pr_136( 1,117,121,101)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

     19-fold covered by C4[ 456, 19 ] = R_228(173, 58)

     19-fold covered by C4[ 456, 25 ] = Pr_152( 1, 93, 97, 37)

     19-fold covered by C4[ 456, 33 ] = UG(ATD[456,19])

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

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

     20-fold covered by C4[ 480, 187 ] = UG(ATD[480,141])

     20-fold covered by C4[ 480, 189 ] = UG(ATD[480,145])

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

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

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

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

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

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

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

     21-fold covered by C4[ 504, 46 ] = R_252( 65, 190)

     21-fold covered by C4[ 504, 60 ] = Pr_168( 1, 61, 65,125)

     21-fold covered by C4[ 504, 82 ] = UG(ATD[504,65])

     21-fold covered by C4[ 504, 84 ] = UG(ATD[504,69])

     21-fold covered by C4[ 504, 85 ] = UG(ATD[504,71])

     21-fold covered by C4[ 504, 95 ] = UG(ATD[504,169])

     21-fold covered by C4[ 504, 97 ] = UG(ATD[504,173])

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

      C4[ 48, 7 ] = R_ 24( 20, 7)    with connection graph  [K_1]

      C4[ 48, 12 ] = KE_12(1,7,4,9,1)    with connection graph  [K_1]

      C4[ 96, 26 ] = KE_24(1,1,4,21,7)    with connection graph  [K_2]

      C4[ 96, 39 ] = UG(ATD[96,55])    with connection graph  [K_2]

      C4[ 96, 49 ] = PL(CS(R_ 6( 5, 4)[ 3^ 8], 1))    with connection graph  [K_2]

      C4[ 144, 41 ] = UG(ATD[144,72])    with connection graph  [C_3]

      C4[ 144, 43 ] = UG(ATD[144,82])    with connection graph  [C_3]

      C4[ 192, 53 ] = KE_48(1,11,8,3,17)    with connection graph  [C_4]

      C4[ 192, 86 ] = UG(ATD[192,38])    with connection graph  [K_4]

      C4[ 192, 91 ] = UG(ATD[192,50])    with connection graph  [K_4]

      C4[ 192, 104 ] = UG(ATD[192,155])    with connection graph  [K_4]

      C4[ 192, 107 ] = UG(ATD[192,163])    with connection graph  [K_4]

      C4[ 192, 109 ] = UG(ATD[192,171])    with connection graph  [C_4]

      C4[ 192, 125 ] = PL(ATD[6,1]#ATD[24,9])    with connection graph  [K_4]

      C4[ 192, 148 ] = PL(CS(R_ 12( 5, 10)[ 6^ 8], 0))    with connection graph  [C_4]

      C4[ 192, 161 ] = BGCG(KE_24(1,9,8,5,5); K1;3)    with connection graph  [C_4]

      C4[ 192, 171 ] = SS[192, 12]    with connection graph  [K_4]

      C4[ 192, 175 ] = SS[192, 60]    with connection graph  [K_4]

      C4[ 192, 183 ] = SS[192, 68]    with connection graph  [K_4]

      C4[ 240, 57 ] = KE_60(1,3,10,13,19)    with connection graph  [C_5]

      C4[ 240, 76 ] = UG(ATD[240,105])    with connection graph  [C_5]

      C4[ 240, 87 ] = UG(ATD[240,142])    with connection graph  [K_5]

      C4[ 240, 89 ] = UG(ATD[240,147])    with connection graph  [K_5]

      C4[ 240, 91 ] = UG(ATD[240,152])    with connection graph  [K_5]

      C4[ 240, 109 ] = XI(Rmap(120,7){5,6|8}_8)    with connection graph  [K_5]

      C4[ 288, 120 ] = UG(ATD[288,218])    with connection graph  [C_6]

      C4[ 288, 123 ] = UG(ATD[288,227])    with connection graph  [C_6]

      C4[ 288, 144 ] = PL(ATD[9,1]#ATD[24,9])    with connection graph  [K_3,3]

      C4[ 288, 173 ] = PL(CSI(R_ 12( 5, 10)[ 6^ 8], 3))    with connection graph  [C_6]

      C4[ 288, 193 ] = BGCG(R_ 24( 20, 7), C_ 3, {4, 6})    with connection graph  [K_3,3]

      C4[ 288, 196 ] = BGCG(R_ 24( 8, 19), C_ 3, {3, 6})    with connection graph  [K_3,3]

      C4[ 288, 204 ] = BGCG(KE_12(1,7,4,9,1), C_ 3, 10)    with connection graph  [K_3,3]

      C4[ 288, 247 ] = BGCG(UG(ATD[144,77]); K1;2)    with connection graph  [C_6]

      C4[ 336, 71 ] = UG(ATD[336,116])    with connection graph  [C_7]

      C4[ 336, 73 ] = UG(ATD[336,126])    with connection graph  [C_7]

      C4[ 384, 191 ] = UG(ATD[384,200])    with connection graph  [Q_3]

      C4[ 384, 194 ] = UG(ATD[384,209])    with connection graph  [Q_3]

      C4[ 384, 250 ] = UG(ATD[384,460])    with connection graph  [Q_3]

      C4[ 384, 251 ] = UG(ATD[384,463])    with connection graph  [Q_3]

      C4[ 384, 261 ] = UG(ATD[384,491])    with connection graph  [C_8]

      C4[ 384, 262 ] = UG(ATD[384,494])    with connection graph  [C_8]

      C4[ 384, 292 ] = UG(ATD[384,585])    with connection graph  [DK_8]

      C4[ 384, 295 ] = UG(ATD[384,594])    with connection graph  [DK_8]

      C4[ 384, 305 ] = UG(ATD[384,618])    with connection graph  [DK_8]

      C4[ 384, 306 ] = UG(ATD[384,620])    with connection graph  [DK_8]

      C4[ 384, 312 ] = UG(ATD[384,634])    with connection graph  [DK_8]

      C4[ 384, 313 ] = UG(ATD[384,636])    with connection graph  [DK_8]

      C4[ 384, 349 ] = PL(ATD[12,4]#ATD[24,9])    with connection graph  [Q_3]

      C4[ 384, 381 ] = XI(Rmap(192,459){8,6|4}_12)    with connection graph  [DK_8]

      C4[ 384, 384 ] = PL(CSI(R_ 12( 5, 10)[ 6^ 8], 8))    with connection graph  [C_8]

      C4[ 384, 460 ] = BGCG(KE_48(1,27,16,19,7); K1;5)    with connection graph  [C_8]

      C4[ 384, 482 ] = BGCG(UG(ATD[192,38]); K1;5)    with connection graph  [K_4,4]

      C4[ 384, 483 ] = BGCG(UG(ATD[192,38]); K1;7)    with connection graph  [K_4,4]

      C4[ 384, 492 ] = BGCG(UG(ATD[192,44]); K1;11)    with connection graph  [K_4,4]

      C4[ 384, 494 ] = BGCG(UG(ATD[192,47]); K1;{12, 13})    with connection graph  [K_4,4]

      C4[ 384, 516 ] = BGCG(UG(ATD[192,155]); K1;6)    with connection graph  [K_4,4]

      C4[ 384, 517 ] = BGCG(UG(ATD[192,155]); K1;8)    with connection graph  [K_4,4]

      C4[ 384, 523 ] = BGCG(UG(ATD[192,161]); K1;{9, 10})    with connection graph  [K_4,4]

      C4[ 384, 524 ] = BGCG(UG(ATD[192,161]); K1;{11, 14})    with connection graph  [K_4,4]

      C4[ 384, 536 ] = BGCG(UG(ATD[192,207]); K1;1)    with connection graph  [DK_8]

      C4[ 432, 149 ] = UG(ATD[432,322])    with connection graph  [C_9]

      C4[ 432, 155 ] = UG(ATD[432,344])    with connection graph  [C_9]

      C4[ 432, 278 ] = BGCG(UG(ATD[216,138]); K1;{1, 7})    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 432, 281 ] = BGCG(UG(ATD[216,140]); K1;{4, 6})    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 480, 213 ] = UG(ATD[480,299])    with connection graph  [C_10]

      C4[ 480, 216 ] = UG(ATD[480,308])    with connection graph  [C_10]

      C4[ 480, 262 ] = UG(ATD[480,423])    with connection graph  [C_ 10(1, 3)]

      C4[ 480, 264 ] = UG(ATD[480,429])    with connection graph  [C_ 10(1, 3)]

      C4[ 480, 352 ] = PL(CSI(R_ 12( 5, 10)[ 6^ 8], 5))    with connection graph  [C_10]

      C4[ 480, 468 ] = BGCG(UG(ATD[240,110]); K1;3)    with connection graph  [C_10]

      C4[ 480, 485 ] = BGCG(UG(ATD[240,136]); K1;{1, 6})    with connection graph  [C_ 10(1, 3)]

      C4[ 480, 487 ] = BGCG(UG(ATD[240,139]); K1;1)    with connection graph  [C_ 10(1, 3)]

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)