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On this page are all graphs related to C4[ 54, 5 ].

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

Graphs which cover this one

     2-fold covered by C4[ 108, 11 ] = AMC( 12, 3, [ 0. 1: 2. 2])

     2-fold covered by C4[ 108, 20 ] = UG(ATD[108,27])

     2-fold covered by C4[ 108, 24 ] = SDD(AMC( 3, 3, [ 0. 1: 2. 2]))

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

     3-fold covered by C4[ 162, 14 ] = UG(ATD[162,14])

     3-fold covered by C4[ 162, 16 ] = UG(ATD[162,26])

     3-fold covered by C4[ 162, 17 ] = UG(ATD[162,29])

     4-fold covered by C4[ 216, 28 ] = AMC( 24, 3, [ 0. 1: 2. 2])

     4-fold covered by C4[ 216, 56 ] = UG(ATD[216,71])

     4-fold covered by C4[ 216, 59 ] = UG(ATD[216,78])

     4-fold covered by C4[ 216, 61 ] = UG(ATD[216,84])

     4-fold covered by C4[ 216, 63 ] = UG(ATD[216,90])

     4-fold covered by C4[ 216, 64 ] = UG(ATD[216,117])

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

     4-fold covered by C4[ 216, 75 ] = SDD(AMC( 6, 3, [ 0. 1: 2. 2]))

     4-fold covered by C4[ 216, 83 ] = PL(CS(AMC( 3, 3, [ 0. 1: 2. 2])[ 3^ 18], 0))

     4-fold covered by C4[ 216, 84 ] = PL(CS(AMC( 3, 3, [ 0. 1: 2. 2])[ 3^ 18], 1))

     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, 90 ] = SDD(PL(ProjLR(3,3)))

     4-fold covered by C4[ 216, 97 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K1;6)

     5-fold covered by C4[ 270, 11 ] = AMC( 30, 3, [ 0. 1: 2. 2])

     5-fold covered by C4[ 270, 15 ] = UG(ATD[270,13])

     5-fold covered by C4[ 270, 16 ] = UG(ATD[270,15])

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

     6-fold covered by C4[ 324, 53 ] = UG(ATD[324,84])

     6-fold covered by C4[ 324, 56 ] = UG(ATD[324,93])

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

     6-fold covered by C4[ 324, 61 ] = UG(ATD[324,118])

     6-fold covered by C4[ 324, 62 ] = UG(ATD[324,121])

     6-fold covered by C4[ 324, 63 ] = UG(ATD[324,127])

     6-fold covered by C4[ 324, 64 ] = UG(ATD[324,130])

     6-fold covered by C4[ 324, 65 ] = UG(ATD[324,133])

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

     6-fold covered by C4[ 324, 67 ] = UG(ATD[324,142])

     6-fold covered by C4[ 324, 68 ] = UG(ATD[324,145])

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

     6-fold covered by C4[ 324, 71 ] = XI(Rmap(162,6){6,6|6}_6)

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

     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, 85 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]), C_ 3, {2, 12})

     7-fold covered by C4[ 378, 19 ] = AMC( 42, 3, [ 0. 1: 2. 2])

     7-fold covered by C4[ 378, 20 ] = UG(ATD[378,9])

     7-fold covered by C4[ 378, 21 ] = UG(ATD[378,11])

     7-fold covered by C4[ 378, 24 ] = UG(ATD[378,32])

     8-fold covered by C4[ 432, 48 ] = AMC( 48, 3, [ 0. 1: 2. 2])

     8-fold covered by C4[ 432, 114 ] = UG(ATD[432,172])

     8-fold covered by C4[ 432, 115 ] = UG(ATD[432,175])

     8-fold covered by C4[ 432, 119 ] = UG(ATD[432,187])

     8-fold covered by C4[ 432, 122 ] = UG(ATD[432,194])

     8-fold covered by C4[ 432, 125 ] = UG(ATD[432,201])

     8-fold covered by C4[ 432, 128 ] = UG(ATD[432,210])

     8-fold covered by C4[ 432, 131 ] = UG(ATD[432,217])

     8-fold covered by C4[ 432, 133 ] = UG(ATD[432,223])

     8-fold covered by C4[ 432, 136 ] = UG(ATD[432,232])

     8-fold covered by C4[ 432, 138 ] = UG(ATD[432,238])

     8-fold covered by C4[ 432, 139 ] = UG(ATD[432,262])

     8-fold covered by C4[ 432, 140 ] = UG(ATD[432,277])

     8-fold covered by C4[ 432, 141 ] = UG(ATD[432,298])

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

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

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

     8-fold covered by C4[ 432, 156 ] = UG(ATD[432,347])

     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, 173 ] = PL(ATD[54,4]#DCyc[4])

     8-fold covered by C4[ 432, 174 ] = PL(ATD[54,6]#DCyc[4])

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

     8-fold covered by C4[ 432, 177 ] = SDD(UG(ATD[108,24]))

     8-fold covered by C4[ 432, 183 ] = SDD(UG(ATD[108,27]))

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

     8-fold covered by C4[ 432, 200 ] = PL(CSI(AMC( 3, 3, [ 0. 1: 2. 2])[ 3^ 18], 8))

     8-fold covered by C4[ 432, 212 ] = PL(CS(AMC( 6, 3, [ 0. 1: 2. 2])[ 6^ 18], 1))

     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, 214 ] = PL(CS(AMC( 6, 3, [ 0. 1: 2. 2])[ 12^ 9], 0))

     8-fold covered by C4[ 432, 215 ] = PL(CS(AMC( 6, 3, [ 0. 1: 2. 2])[ 12^ 9], 1))

     8-fold covered by C4[ 432, 217 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]), C_ 4, {2, 12})

     8-fold covered by C4[ 432, 219 ] = PL(CS(PL(ProjLR(3,3))[ 12^ 9], 0))

     8-fold covered by C4[ 432, 220 ] = PL(CS(PL(ProjLR(3,3))[ 12^ 9], 1))

     8-fold covered by C4[ 432, 221 ] = PL(CS(PL(ProjLR(3,3))[ 4^ 27], 0))

     8-fold covered by C4[ 432, 222 ] = PL(CS(PL(ProjLR(3,3))[ 4^ 27], 1))

     8-fold covered by C4[ 432, 223 ] = PL(CS(PL(ProjLR(3,3))[ 6^ 18], 1))

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

     8-fold covered by C4[ 432, 242 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;6)

     8-fold covered by C4[ 432, 262 ] = BGCG(UG(ATD[216,71]); K1;6)

     8-fold covered by C4[ 432, 263 ] = BGCG(UG(ATD[216,71]); K1;7)

     8-fold covered by C4[ 432, 271 ] = BGCG(UG(ATD[216,75]); K1;2)

     8-fold covered by C4[ 432, 276 ] = BGCG(UG(ATD[216,84]); K1;{6, 9})

     8-fold covered by C4[ 432, 277 ] = BGCG(UG(ATD[216,84]); K1;{12, 15})

     8-fold covered by C4[ 432, 283 ] = SS[432, 6]

     8-fold covered by C4[ 432, 284 ] = SS[432, 7]

     8-fold covered by C4[ 432, 285 ] = SS[432, 9]

     8-fold covered by C4[ 432, 286 ] = SS[432, 10]

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

     9-fold covered by C4[ 486, 15 ] = AMC( 6, 9, [ 1. 5: 3. 1])

     9-fold covered by C4[ 486, 16 ] = AMC( 6, 9, [ 1. 8: 3. 7])

     9-fold covered by C4[ 486, 26 ] = UG(ATD[486,29])

     9-fold covered by C4[ 486, 27 ] = UG(ATD[486,31])

     9-fold covered by C4[ 486, 28 ] = UG(ATD[486,33])

     9-fold covered by C4[ 486, 29 ] = UG(ATD[486,35])

     9-fold covered by C4[ 486, 30 ] = UG(ATD[486,39])

     9-fold covered by C4[ 486, 31 ] = UG(ATD[486,41])

     9-fold covered by C4[ 486, 32 ] = UG(ATD[486,43])

     9-fold covered by C4[ 486, 33 ] = UG(ATD[486,45])

     9-fold covered by C4[ 486, 34 ] = UG(ATD[486,47])

     9-fold covered by C4[ 486, 40 ] = UG(ATD[486,58])

     9-fold covered by C4[ 486, 41 ] = UG(ATD[486,60])

     9-fold covered by C4[ 486, 43 ] = UG(ATD[486,63])

     9-fold covered by C4[ 486, 44 ] = UG(ATD[486,64])

     9-fold covered by C4[ 486, 45 ] = UG(ATD[486,65])

     9-fold covered by C4[ 486, 47 ] = UG(ATD[486,67])

     9-fold covered by C4[ 486, 49 ] = UG(ATD[486,70])

     9-fold covered by C4[ 486, 50 ] = UG(ATD[486,74])

     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, 58 ] = UG(ATD[486,107])

     9-fold covered by C4[ 486, 59 ] = UG(ATD[486,110])

     9-fold covered by C4[ 486, 60 ] = UG(ATD[486,113])

     9-fold covered by C4[ 486, 61 ] = UG(ATD[486,116])

     9-fold covered by C4[ 486, 62 ] = UG(ATD[486,119])

     9-fold covered by C4[ 486, 63 ] = UG(ATD[486,125])

     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, 79 ] = BGCG(AMC( 3, 9, [ 1. 8: 3. 7]); K1;{1, 8})

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, 11 ] = AMC( 12, 3, [ 0. 1: 2. 2])    with connection graph  [K_1]

      C4[ 108, 20 ] = UG(ATD[108,27])    with connection graph  [K_1]

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

      C4[ 108, 23 ] = XI(Rmap(54,6){6,6|6}_6)    with connection graph  [K_1]

      C4[ 216, 60 ] = UG(ATD[216,81])    with connection graph  [K_2]

      C4[ 216, 61 ] = UG(ATD[216,84])    with connection graph  [K_2]

      C4[ 216, 62 ] = UG(ATD[216,87])    with connection graph  [K_2]

      C4[ 216, 63 ] = UG(ATD[216,90])    with connection graph  [K_2]

      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[ 216, 102 ] = SS[216, 2]    with connection graph  [K_2]

      C4[ 324, 16 ] = CPM( 3, 3, 4, 1)    with connection graph  [C_3]

      C4[ 324, 23 ] = PL(ProjLRo(6,3))    with connection graph  [C_3]

      C4[ 324, 35 ] = UG(ATD[324,35])    with connection graph  [C_3]

      C4[ 324, 63 ] = UG(ATD[324,127])    with connection graph  [C_3]

      C4[ 324, 64 ] = UG(ATD[324,130])    with connection graph  [C_3]

      C4[ 324, 65 ] = UG(ATD[324,133])    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, 70 ] = PL(ATD[9,1]#ATD[27,5])    with connection graph  [C_3]

      C4[ 324, 72 ] = XI(Rmap(162,7){6,6|6}_6)    with connection graph  [C_3]

      C4[ 324, 76 ] = XI(Rmap(162,14){6,18|6}_6)    with connection graph  [C_3]

      C4[ 324, 78 ] = XI(Rmap(162,18){6,18|6}_18)    with connection graph  [C_3]

      C4[ 324, 84 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]), C_ 3, {1, 11})    with connection graph  [C_3]

      C4[ 324, 85 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]), C_ 3, {2, 12})    with connection graph  [C_3]

      C4[ 324, 87 ] = BGCG(CPM( 3, 3, 1, 1); K2;{2, 3})    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[ 432, 123 ] = UG(ATD[432,197])    with connection graph  [C_4]

      C4[ 432, 124 ] = UG(ATD[432,198])    with connection graph  [C_4]

      C4[ 432, 125 ] = UG(ATD[432,201])    with connection graph  [C_4]

      C4[ 432, 129 ] = UG(ATD[432,213])    with connection graph  [C_4]

      C4[ 432, 130 ] = UG(ATD[432,214])    with connection graph  [C_4]

      C4[ 432, 131 ] = UG(ATD[432,217])    with connection graph  [C_4]

      C4[ 432, 168 ] = PL(ATD[12,4]#ATD[27,5])    with connection graph  [K_4]

      C4[ 432, 194 ] = XI(Cmap(216,29){12,8|6}_24)    with connection graph  [C_4]

      C4[ 432, 216 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]), C_ 4, {1, 11})    with connection graph  [C_4]

      C4[ 432, 217 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]), C_ 4, {2, 12})    with connection graph  [C_4]

      C4[ 432, 218 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]), C_ 4, {4, 13})    with connection graph  [C_4]

      C4[ 432, 244 ] = BGCG(UG(ATD[108,24]); K2;{1, 2, 3, 6})    with connection graph  [C_4]

      C4[ 432, 246 ] = BGCG(UG(ATD[108,30]); K2;{2, 3})    with connection graph  [C_4]

      C4[ 432, 259 ] = BGCG(UG(ATD[216,71]); K1;2)    with connection graph  [K_4]

      C4[ 432, 260 ] = BGCG(UG(ATD[216,71]); K1;3)    with connection graph  [K_4]

      C4[ 432, 261 ] = BGCG(UG(ATD[216,71]); K1;4)    with connection graph  [K_4]

      C4[ 432, 262 ] = BGCG(UG(ATD[216,71]); K1;6)    with connection graph  [K_4]

      C4[ 432, 263 ] = BGCG(UG(ATD[216,71]); K1;7)    with connection graph  [K_4]

      C4[ 432, 265 ] = BGCG(UG(ATD[216,71]); K1;12)    with connection graph  [K_4]

      C4[ 432, 267 ] = BGCG(UG(ATD[216,74]); K1;{2, 3})    with connection graph  [C_4]

      C4[ 432, 268 ] = BGCG(UG(ATD[216,74]); K1;4)    with connection graph  [C_4]

      C4[ 432, 270 ] = BGCG(UG(ATD[216,75]); K1;{1, 7})    with connection graph  [C_4]

      C4[ 432, 271 ] = BGCG(UG(ATD[216,75]); K1;2)    with connection graph  [C_4]

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

      C4[ 432, 275 ] = BGCG(UG(ATD[216,81]); K1;7)    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[ 27, 3 ] = AMC( 3, 3, [ 0. 1: 2. 2])

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