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On this page are all graphs related to C4[ 54, 6 ].

Graphs which this one covers

     6-fold cover of C4[ 9, 1 ] = DW( 3, 3)

     3-fold cover of C4[ 18, 2 ] = DW( 6, 3)

Graphs which cover this one

     2-fold covered by C4[ 108, 19 ] = UG(ATD[108,24])

     2-fold covered by C4[ 108, 23 ] = XI(Rmap(54,6){6,6|6}_6)

     3-fold covered by C4[ 162, 18 ] = XI(Rmap(81,3){3,6|6}_18)

     3-fold covered by C4[ 162, 19 ] = XI(Rmap(81,32){6,18|6}_9)

     3-fold covered by C4[ 162, 20 ] = XI(Rmap(81,33){6,18|6}_9)

     4-fold covered by C4[ 216, 31 ] = PL(ProjLR(3,6))

     4-fold covered by C4[ 216, 58 ] = UG(ATD[216,75])

     4-fold covered by C4[ 216, 60 ] = UG(ATD[216,81])

     4-fold covered by C4[ 216, 62 ] = UG(ATD[216,87])

     4-fold covered by C4[ 216, 71 ] = PL(ATD[6,1]#ATD[27,5])

     4-fold covered by C4[ 216, 85 ] = PL(CS(AMC( 3, 3, [ 0. 1: 2. 2])[ 6^ 9], 1))

     4-fold covered by C4[ 216, 91 ] = BGCG(AMC( 12, 3, [ 0. 1: 2. 2]); K1;{1, 7})

     4-fold covered by C4[ 216, 92 ] = BGCG(AMC( 12, 3, [ 0. 1: 2. 2]); K1;{2, 4})

     4-fold covered by C4[ 216, 95 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K1;{1, 7})

     4-fold covered by C4[ 216, 96 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K1;3)

     5-fold covered by C4[ 270, 12 ] = UG(ATD[270,1])

     5-fold covered by C4[ 270, 14 ] = UG(ATD[270,12])

     5-fold covered by C4[ 270, 24 ] = XI(Rmap(135,4){15,6|6}_30)

     6-fold covered by C4[ 324, 55 ] = UG(ATD[324,90])

     6-fold covered by C4[ 324, 57 ] = UG(ATD[324,96])

     6-fold covered by C4[ 324, 70 ] = PL(ATD[9,1]#ATD[27,5])

     6-fold covered by C4[ 324, 72 ] = XI(Rmap(162,7){6,6|6}_6)

     6-fold covered by C4[ 324, 73 ] = SDD(UG(ATD[81,14]))

     6-fold covered by C4[ 324, 76 ] = XI(Rmap(162,14){6,18|6}_6)

     6-fold covered by C4[ 324, 77 ] = XI(Rmap(162,17){6,18|6}_18)

     6-fold covered by C4[ 324, 78 ] = XI(Rmap(162,18){6,18|6}_18)

     6-fold covered by C4[ 324, 80 ] = SDD(UG(ATD[81,12]))

     6-fold covered by C4[ 324, 81 ] = SDD(AMC( 9, 3, [ 0. 1: 2. 2]))

     6-fold covered by C4[ 324, 84 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]), C_ 3, {1, 11})

     6-fold covered by C4[ 324, 88 ] = BGCG(AMC( 9, 3, [ 0. 1: 2. 2]); K2;{1, 2})

     6-fold covered by C4[ 324, 89 ] = BGCG(UG(ATD[81,12]); K2;{1, 3})

     6-fold covered by C4[ 324, 90 ] = BGCG(UG(ATD[81,14]); K2;{2, 3})

     6-fold covered by C4[ 324, 93 ] = BGCG(AMC( 18, 3, [ 0. 1: 2. 2]); K1;{4, 5})

     6-fold covered by C4[ 324, 96 ] = BGCG(UG(ATD[162,26]); K1;{5, 7})

     6-fold covered by C4[ 324, 97 ] = BGCG(UG(ATD[162,29]); K1;{2, 3})

     7-fold covered by C4[ 378, 23 ] = UG(ATD[378,31])

     7-fold covered by C4[ 378, 26 ] = XI(Rmap(189,4){21,6|6}_42)

     8-fold covered by C4[ 432, 121 ] = UG(ATD[432,191])

     8-fold covered by C4[ 432, 124 ] = UG(ATD[432,198])

     8-fold covered by C4[ 432, 126 ] = UG(ATD[432,204])

     8-fold covered by C4[ 432, 127 ] = UG(ATD[432,207])

     8-fold covered by C4[ 432, 130 ] = UG(ATD[432,214])

     8-fold covered by C4[ 432, 132 ] = UG(ATD[432,220])

     8-fold covered by C4[ 432, 134 ] = UG(ATD[432,226])

     8-fold covered by C4[ 432, 135 ] = UG(ATD[432,229])

     8-fold covered by C4[ 432, 137 ] = UG(ATD[432,235])

     8-fold covered by C4[ 432, 158 ] = PL(ATD[6,1]#ATD[54,5])

     8-fold covered by C4[ 432, 168 ] = PL(ATD[12,4]#ATD[27,5])

     8-fold covered by C4[ 432, 176 ] = SDD(AMC( 3, 12, [ 1. 1: 9. 10]))

     8-fold covered by C4[ 432, 184 ] = SDD(AMC( 12, 3, [ 0. 1: 2. 2]))

     8-fold covered by C4[ 432, 213 ] = PL(CS(AMC( 6, 3, [ 0. 1: 2. 2])[ 6^ 18], 1))

     8-fold covered by C4[ 432, 216 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]), C_ 4, {1, 11})

     8-fold covered by C4[ 432, 218 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]), C_ 4, {4, 13})

     8-fold covered by C4[ 432, 235 ] = BGCG(AMC( 12, 3, [ 0. 1: 2. 2]); K2;{1, 2, 4, 7})

     8-fold covered by C4[ 432, 238 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;{1, 7})

     8-fold covered by C4[ 432, 239 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;3)

     8-fold covered by C4[ 432, 240 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;4)

     8-fold covered by C4[ 432, 241 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;5)

     8-fold covered by C4[ 432, 247 ] = BGCG(AMC( 24, 3, [ 0. 1: 2. 2]); K1;{2, 3})

     8-fold covered by C4[ 432, 248 ] = BGCG(AMC( 24, 3, [ 0. 1: 2. 2]); K1;{5, 6})

     8-fold covered by C4[ 432, 258 ] = BGCG(UG(ATD[216,71]); K1;{1, 8})

     8-fold covered by C4[ 432, 259 ] = BGCG(UG(ATD[216,71]); K1;2)

     8-fold covered by C4[ 432, 260 ] = BGCG(UG(ATD[216,71]); K1;3)

     8-fold covered by C4[ 432, 261 ] = BGCG(UG(ATD[216,71]); K1;4)

     8-fold covered by C4[ 432, 264 ] = BGCG(UG(ATD[216,71]); K1;{9, 13})

     8-fold covered by C4[ 432, 265 ] = BGCG(UG(ATD[216,71]); K1;12)

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

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

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

     8-fold covered by C4[ 432, 281 ] = BGCG(UG(ATD[216,140]); K1;{4, 6})

     9-fold covered by C4[ 486, 19 ] = PL(ProjLR(3,9))

     9-fold covered by C4[ 486, 20 ] = UG(ATD[486,5])

     9-fold covered by C4[ 486, 21 ] = UG(ATD[486,7])

     9-fold covered by C4[ 486, 22 ] = UG(ATD[486,9])

     9-fold covered by C4[ 486, 39 ] = UG(ATD[486,57])

     9-fold covered by C4[ 486, 42 ] = UG(ATD[486,62])

     9-fold covered by C4[ 486, 46 ] = UG(ATD[486,66])

     9-fold covered by C4[ 486, 48 ] = UG(ATD[486,69])

     9-fold covered by C4[ 486, 67 ] = XI(Rmap(243,18){9,6|6}_18)

     9-fold covered by C4[ 486, 68 ] = XI(Rmap(243,22){27,6|6}_54)

     9-fold covered by C4[ 486, 69 ] = XI(Rmap(243,23){27,6|6}_54)

     9-fold covered by C4[ 486, 70 ] = XI(Rmap(243,24){27,6|6}_54)

     9-fold covered by C4[ 486, 71 ] = XI(Rmap(243,31){9,18|18}_18)

     9-fold covered by C4[ 486, 72 ] = XI(Rmap(243,33){9,18|18}_18)

     9-fold covered by C4[ 486, 73 ] = XI(Rmap(243,34){9,18|18}_18)

     9-fold covered by C4[ 486, 74 ] = XI(Rmap(243,70){6,18|6}_9)

     9-fold covered by C4[ 486, 75 ] = XI(Rmap(243,71){6,18|6}_9)

     9-fold covered by C4[ 486, 76 ] = BGCG(CPM( 3, 3, 1, 1), C_ 3, {2, 3})

     9-fold covered by C4[ 486, 77 ] = BGCG(UG(ATD[81,12]), C_ 3, {1, 3})

     9-fold covered by C4[ 486, 78 ] = BGCG(UG(ATD[81,14]), C_ 3, {2, 3})

     9-fold covered by C4[ 486, 80 ] = BGCG(AMC( 3, 9, [ 1. 8: 3. 7]); K1;{2, 4})

     9-fold covered by C4[ 486, 81 ] = BGCG(AMC( 3, 9, [ 1. 8: 3. 7]); K1;{3, 9})

BGCG dissections of this graph

     Base Graph: C4[ 9, 1 ] = DW( 3, 3)   connection graph:  [C_3]

     Base Graph: C4[ 27, 3 ] = AMC( 3, 3, [ 0. 1: 2. 2])   connection graph:  [K_1]

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

      C4[ 108, 22 ] = XI(Rmap(54,3){4,12|3}_6)    with connection graph  [K_1]

      C4[ 216, 74 ] = XI(Rmap(108,11){4,12|6}_6)    with connection graph  [K_2]

      C4[ 216, 89 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]); K2;{8, 9})    with connection graph  [K_2]

      C4[ 432, 273 ] = BGCG(UG(ATD[216,81]); K1;4)    with connection graph  [C_4]

      C4[ 432, 274 ] = BGCG(UG(ATD[216,81]); K1;6)    with connection graph  [C_4]

      C4[ 432, 276 ] = BGCG(UG(ATD[216,84]); K1;{6, 9})    with connection graph  [C_4]

Aut-Orbital graphs of this one:

      C4[ 9, 1 ] = DW( 3, 3)

      C4[ 27, 3 ] = AMC( 3, 3, [ 0. 1: 2. 2])

      C4[ 54, 5 ] = AMC( 6, 3, [ 0. 1: 2. 2])

      C4[ 54, 6 ] = PL(ProjLR(3,3))