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On this page are all graphs related to C4[ 54, 2 ].

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)

     2-fold cover of C4[ 27, 1 ] = DW( 9, 3)

Graphs which cover this one

     2-fold covered by C4[ 108, 2 ] = DW( 36, 3)

     2-fold covered by C4[ 108, 3 ] = {4, 4}_[ 9, 6]

     2-fold covered by C4[ 108, 4 ] = {4, 4}_< 12, 6>

     2-fold covered by C4[ 108, 25 ] = SDD(DW( 9, 3))

     3-fold covered by C4[ 162, 2 ] = DW( 54, 3)

     3-fold covered by C4[ 162, 4 ] = PS( 18, 9; 2)

     3-fold covered by C4[ 162, 5 ] = PS( 6, 27; 8)

     3-fold covered by C4[ 162, 8 ] = AMC( 18, 3, [ 0. 1: 2. 2])

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

     4-fold covered by C4[ 216, 4 ] = DW( 72, 3)

     4-fold covered by C4[ 216, 5 ] = {4, 4}_[ 12, 9]

     4-fold covered by C4[ 216, 6 ] = {4, 4}_< 15, 3>

     4-fold covered by C4[ 216, 7 ] = {4, 4}_[ 18, 6]

     4-fold covered by C4[ 216, 8 ] = {4, 4}_< 21, 15>

     4-fold covered by C4[ 216, 10 ] = PS( 18, 24; 5)

     4-fold covered by C4[ 216, 11 ] = PS( 18, 24; 7)

     4-fold covered by C4[ 216, 24 ] = PL(WH_ 36( 2, 0, 7, 11), [3^36, 18^6])

     4-fold covered by C4[ 216, 25 ] = PL(WH_ 36( 9, 1, 6, 19), [4^27, 18^6])

     4-fold covered by C4[ 216, 26 ] = PL(WH_ 36( 9, 1, 19, 24), [4^27, 9^12])

     4-fold covered by C4[ 216, 54 ] = UG(ATD[216,65])

     4-fold covered by C4[ 216, 55 ] = UG(ATD[216,68])

     4-fold covered by C4[ 216, 69 ] = PL(ATD[6,1]#DCyc[9])

     4-fold covered by C4[ 216, 70 ] = PL(ATD[6,1]#ATD[27,3])

     4-fold covered by C4[ 216, 77 ] = SDD(DW( 18, 3))

     4-fold covered by C4[ 216, 78 ] = XI(Rmap(108,45){9,18|18}_12)

     4-fold covered by C4[ 216, 80 ] = BGCG(W( 6, 2), C_ 9, 3)

     4-fold covered by C4[ 216, 82 ] = PL(CS(DW( 9, 3)[ 6^ 9], 1))

     5-fold covered by C4[ 270, 3 ] = DW( 90, 3)

     5-fold covered by C4[ 270, 4 ] = {4, 4}_[ 15, 9]

     5-fold covered by C4[ 270, 7 ] = PS( 18, 15; 4)

     6-fold covered by C4[ 324, 2 ] = DW(108, 3)

     6-fold covered by C4[ 324, 4 ] = {4, 4}_[ 18, 9]

     6-fold covered by C4[ 324, 5 ] = {4, 4}_[ 27, 6]

     6-fold covered by C4[ 324, 6 ] = {4, 4}_< 30, 24>

     6-fold covered by C4[ 324, 7 ] = PS( 36, 9; 2)

     6-fold covered by C4[ 324, 8 ] = PS( 9, 36; 11)

     6-fold covered by C4[ 324, 9 ] = PS( 18, 36; 5)

     6-fold covered by C4[ 324, 10 ] = PS( 12, 27; 8)

     6-fold covered by C4[ 324, 11 ] = PS( 3,108; 35)

     6-fold covered by C4[ 324, 12 ] = PS( 6,108; 17)

     6-fold covered by C4[ 324, 18 ] = AMC( 36, 3, [ 0. 1: 2. 2])

     6-fold covered by C4[ 324, 59 ] = UG(ATD[324,112])

     6-fold covered by C4[ 324, 60 ] = UG(ATD[324,115])

     6-fold covered by C4[ 324, 66 ] = UG(ATD[324,139])

     6-fold covered by C4[ 324, 69 ] = PL(ATD[9,1]#DCyc[9])

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

     6-fold covered by C4[ 324, 79 ] = XI(Rmap(162,19){6,18|6}_18)

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

     6-fold covered by C4[ 324, 82 ] = SDD(DW( 27, 3))

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

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

     7-fold covered by C4[ 378, 3 ] = DW(126, 3)

     7-fold covered by C4[ 378, 4 ] = {4, 4}_[ 21, 9]

     7-fold covered by C4[ 378, 7 ] = PS( 18, 21; 2)

     7-fold covered by C4[ 378, 8 ] = PS( 18, 21; 4)

     7-fold covered by C4[ 378, 9 ] = PS( 18, 21; 8)

     7-fold covered by C4[ 378, 16 ] = PS( 6, 63; 17)

     8-fold covered by C4[ 432, 4 ] = DW(144, 3)

     8-fold covered by C4[ 432, 5 ] = {4, 4}_[ 18, 12]

     8-fold covered by C4[ 432, 6 ] = {4, 4}_< 21, 3>

     8-fold covered by C4[ 432, 7 ] = {4, 4}_[ 24, 9]

     8-fold covered by C4[ 432, 8 ] = {4, 4}_< 24, 12>

     8-fold covered by C4[ 432, 9 ] = {4, 4}_[ 36, 6]

     8-fold covered by C4[ 432, 10 ] = {4, 4}_< 39, 33>

     8-fold covered by C4[ 432, 14 ] = PS( 36, 24; 5)

     8-fold covered by C4[ 432, 15 ] = MPS( 36, 24; 5)

     8-fold covered by C4[ 432, 18 ] = PS( 18, 48; 7)

     8-fold covered by C4[ 432, 19 ] = PS( 18, 48; 17)

     8-fold covered by C4[ 432, 24 ] = MPS( 12, 72; 17)

     8-fold covered by C4[ 432, 34 ] = PL(MSY( 6, 36, 17, 0))

     8-fold covered by C4[ 432, 35 ] = PL(MSY( 6, 36, 17, 18))

     8-fold covered by C4[ 432, 36 ] = PL(MSY( 18, 12, 5, 0))

     8-fold covered by C4[ 432, 38 ] = PL(MC3( 6, 36, 1, 19, 17, 0, 1), [4^54, 6^36])

     8-fold covered by C4[ 432, 39 ] = PL(MC3( 6, 36, 1, 19, 17, 18, 1), [4^54, 12^18])

     8-fold covered by C4[ 432, 40 ] = PL(MC3( 6, 36, 1, 17, 19, 0, 1), [6^36, 18^12])

     8-fold covered by C4[ 432, 41 ] = PL(MC3( 18, 12, 1, 7, 5, 0, 1), [4^54, 18^12])

     8-fold covered by C4[ 432, 42 ] = PL(MC3( 18, 12, 1, 7, 5, 6, 1), [4^54, 36^6])

     8-fold covered by C4[ 432, 43 ] = PL(WH_ 72( 9, 1, 24, 55), [8^27, 9^24])

     8-fold covered by C4[ 432, 44 ] = PL(WH_ 72( 9, 1, 55, 60), [8^27, 18^12])

     8-fold covered by C4[ 432, 110 ] = UG(ATD[432,160])

     8-fold covered by C4[ 432, 111 ] = UG(ATD[432,163])

     8-fold covered by C4[ 432, 112 ] = UG(ATD[432,166])

     8-fold covered by C4[ 432, 113 ] = UG(ATD[432,169])

     8-fold covered by C4[ 432, 117 ] = UG(ATD[432,181])

     8-fold covered by C4[ 432, 118 ] = UG(ATD[432,184])

     8-fold covered by C4[ 432, 142 ] = UG(ATD[432,301])

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

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

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

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

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

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

     8-fold covered by C4[ 432, 154 ] = UG(ATD[432,341])

     8-fold covered by C4[ 432, 155 ] = UG(ATD[432,344])

     8-fold covered by C4[ 432, 163 ] = PL(ATD[9,1]#ATD[36,13])

     8-fold covered by C4[ 432, 164 ] = PL(ATD[12,1]#DCyc[9])

     8-fold covered by C4[ 432, 167 ] = PL(ATD[12,4]#DCyc[9])

     8-fold covered by C4[ 432, 172 ] = PL(ATD[36,10]#DCyc[3])

     8-fold covered by C4[ 432, 175 ] = PL(ATD[54,9]#DCyc[4])

     8-fold covered by C4[ 432, 182 ] = SDD(Pr_ 36( 1, 25, 29, 17))

     8-fold covered by C4[ 432, 186 ] = SDD(DW( 36, 3))

     8-fold covered by C4[ 432, 188 ] = SDD(UG(ATD[108,18]))

     8-fold covered by C4[ 432, 190 ] = XI(Rmap(216,101){12,18|4}_18)

     8-fold covered by C4[ 432, 191 ] = SDD({4, 4}_< 12, 6>)

     8-fold covered by C4[ 432, 192 ] = SDD({4, 4}_[ 9, 6])

     8-fold covered by C4[ 432, 196 ] = PL(CSI(Octahedron[ 3^ 4], 18))

     8-fold covered by C4[ 432, 198 ] = PL(CSI(W( 6, 2)[ 6^ 4], 9))

     8-fold covered by C4[ 432, 199 ] = BGCG(R_ 12( 8, 7), C_ 9, {7, 8})

     8-fold covered by C4[ 432, 201 ] = PL(CSI(W( 18, 2)[ 18^ 4], 3))

     8-fold covered by C4[ 432, 207 ] = PL(CS(DW( 18, 3)[ 18^ 6], 1))

     8-fold covered by C4[ 432, 229 ] = BGCG(R_ 36( 20, 19), C_ 3, {5, 6})

     9-fold covered by C4[ 486, 2 ] = DW(162, 3)

     9-fold covered by C4[ 486, 3 ] = {4, 4}_[ 27, 9]

     9-fold covered by C4[ 486, 4 ] = PS( 54, 9; 2)

     9-fold covered by C4[ 486, 5 ] = PS( 18, 27; 2)

     9-fold covered by C4[ 486, 6 ] = PS( 18, 27; 4)

     9-fold covered by C4[ 486, 7 ] = PS( 18, 27; 5)

     9-fold covered by C4[ 486, 8 ] = PS( 18, 27; 8)

     9-fold covered by C4[ 486, 9 ] = PS( 6, 81; 26)

     9-fold covered by C4[ 486, 14 ] = AMC( 54, 3, [ 0. 1: 2. 2])

     9-fold covered by C4[ 486, 23 ] = UG(ATD[486,21])

     9-fold covered by C4[ 486, 24 ] = UG(ATD[486,25])

     9-fold covered by C4[ 486, 25 ] = UG(ATD[486,27])

     9-fold covered by C4[ 486, 52 ] = UG(ATD[486,86])

     9-fold covered by C4[ 486, 53 ] = UG(ATD[486,89])

     9-fold covered by C4[ 486, 54 ] = UG(ATD[486,92])

     9-fold covered by C4[ 486, 55 ] = UG(ATD[486,98])

     9-fold covered by C4[ 486, 56 ] = UG(ATD[486,101])

     9-fold covered by C4[ 486, 57 ] = UG(ATD[486,104])

     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, 73 ] = XI(Rmap(243,34){9,18|18}_18)

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

BGCG dissections of this graph

     Base Graph: C4[ 27, 1 ] = DW( 9, 3)   connection graph:  [K_1]

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

      C4[ 108, 2 ] = DW( 36, 3)    with connection graph  [K_1]

      C4[ 108, 3 ] = {4, 4}_[ 9, 6]    with connection graph  [K_1]

      C4[ 216, 7 ] = {4, 4}_[ 18, 6]    with connection graph  [K_2]

      C4[ 216, 10 ] = PS( 18, 24; 5)    with connection graph  [K_2]

      C4[ 216, 25 ] = PL(WH_ 36( 9, 1, 6, 19), [4^27, 18^6])    with connection graph  [K_2]

      C4[ 324, 15 ] = CPM( 3, 2, 18, 1)    with connection graph  [C_3]

      C4[ 324, 18 ] = AMC( 36, 3, [ 0. 1: 2. 2])    with connection graph  [C_3]

      C4[ 324, 22 ] = PL(RC( 3, 9), [3^54, 18^9])    with connection graph  [C_3]

      C4[ 324, 42 ] = UG(ATD[324,58])    with connection graph  [C_3]

      C4[ 324, 54 ] = UG(ATD[324,87])    with connection graph  [C_3]

      C4[ 324, 60 ] = UG(ATD[324,115])    with connection graph  [C_3]

      C4[ 324, 61 ] = UG(ATD[324,118])    with connection graph  [C_3]

      C4[ 324, 62 ] = UG(ATD[324,121])    with connection graph  [C_3]

      C4[ 324, 66 ] = UG(ATD[324,139])    with connection graph  [C_3]

      C4[ 324, 67 ] = UG(ATD[324,142])    with connection graph  [C_3]

      C4[ 324, 68 ] = UG(ATD[324,145])    with connection graph  [C_3]

      C4[ 324, 69 ] = PL(ATD[9,1]#DCyc[9])    with connection graph  [C_3]

      C4[ 324, 79 ] = XI(Rmap(162,19){6,18|6}_18)    with connection graph  [C_3]

      C4[ 324, 88 ] = BGCG(AMC( 9, 3, [ 0. 1: 2. 2]); K2;{1, 2})    with connection graph  [C_3]

      C4[ 324, 89 ] = BGCG(UG(ATD[81,12]); K2;{1, 3})    with connection graph  [C_3]

      C4[ 324, 90 ] = BGCG(UG(ATD[81,14]); K2;{2, 3})    with connection graph  [C_3]

      C4[ 324, 93 ] = BGCG(AMC( 18, 3, [ 0. 1: 2. 2]); K1;{4, 5})    with connection graph  [C_3]

      C4[ 324, 96 ] = BGCG(UG(ATD[162,26]); K1;{5, 7})    with connection graph  [C_3]

      C4[ 324, 97 ] = BGCG(UG(ATD[162,29]); K1;{2, 3})    with connection graph  [C_3]

      C4[ 432, 14 ] = PS( 36, 24; 5)    with connection graph  [C_4]

      C4[ 432, 18 ] = PS( 18, 48; 7)    with connection graph  [C_4]

      C4[ 432, 34 ] = PL(MSY( 6, 36, 17, 0))    with connection graph  [C_4]

      C4[ 432, 36 ] = PL(MSY( 18, 12, 5, 0))    with connection graph  [C_4]

      C4[ 432, 41 ] = PL(MC3( 18, 12, 1, 7, 5, 0, 1), [4^54, 18^12])    with connection graph  [C_4]

      C4[ 432, 41 ] = PL(MC3( 18, 12, 1, 7, 5, 0, 1), [4^54, 18^12])    with connection graph  [K_4]

      C4[ 432, 44 ] = PL(WH_ 72( 9, 1, 55, 60), [8^27, 18^12])    with connection graph  [C_4]

      C4[ 432, 163 ] = PL(ATD[9,1]#ATD[36,13])    with connection graph  [K_4]

      C4[ 432, 167 ] = PL(ATD[12,4]#DCyc[9])    with connection graph  [K_4]

      C4[ 432, 175 ] = PL(ATD[54,9]#DCyc[4])    with connection graph  [C_4]

      C4[ 432, 190 ] = XI(Rmap(216,101){12,18|4}_18)    with connection graph  [K_4]

      C4[ 432, 196 ] = PL(CSI(Octahedron[ 3^ 4], 18))    with connection graph  [K_4]

      C4[ 432, 198 ] = PL(CSI(W( 6, 2)[ 6^ 4], 9))    with connection graph  [K_4]

      C4[ 432, 201 ] = PL(CSI(W( 18, 2)[ 18^ 4], 3))    with connection graph  [K_4]

Aut-Orbital graphs of this one:

      C4[ 9, 1 ] = DW( 3, 3)

      C4[ 18, 2 ] = DW( 6, 3)

      C4[ 27, 1 ] = DW( 9, 3)

      C4[ 54, 2 ] = DW( 18, 3)