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On this page are all graphs related to C4[ 72, 15 ].

Graphs which this one covers

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

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

     3-fold cover of C4[ 24, 7 ] = SDD(Octahedron)

Graphs which cover this one

     2-fold covered by C4[ 144, 45 ] = PL(ATD[12,1]#DCyc[3])

     2-fold covered by C4[ 144, 47 ] = SDD(Pr_ 12( 1, 1, 5, 5))

     2-fold covered by C4[ 144, 53 ] = PL(CSI(Octahedron[ 3^ 4], 6))

     2-fold covered by C4[ 144, 54 ] = PL(CSI(W( 6, 2)[ 6^ 4], 3))

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

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

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

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

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

     4-fold covered by C4[ 288, 138 ] = PL(ATD[6,1]#ATD[12,1])

     4-fold covered by C4[ 288, 140 ] = PL(ATD[6,1]#ATD[36,6])

     4-fold covered by C4[ 288, 146 ] = PL(ATD[12,1]#DCyc[6])

     4-fold covered by C4[ 288, 149 ] = PL(ATD[24,8]#DCyc[3])

     4-fold covered by C4[ 288, 150 ] = PL(ATD[24,10]#DCyc[3])

     4-fold covered by C4[ 288, 153 ] = XI(Rmap(144,3){3,6|6}_24)

     4-fold covered by C4[ 288, 156 ] = XI(Rmap(144,17){6,6|12}_24)

     4-fold covered by C4[ 288, 157 ] = XI(Rmap(144,18){6,6|12}_24)

     4-fold covered by C4[ 288, 161 ] = SDD(UG(ATD[72,13]))

     4-fold covered by C4[ 288, 169 ] = PL(CSI(Octahedron[ 3^ 4], 12))

     4-fold covered by C4[ 288, 170 ] = PL(CSI(W( 12, 2)[ 12^ 4], 3))

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

     4-fold covered by C4[ 288, 173 ] = PL(CSI(R_ 12( 5, 10)[ 6^ 8], 3))

     4-fold covered by C4[ 288, 186 ] = PL(CS(Pr_ 12( 1, 1, 5, 5)[ 12^ 6], 1))

     4-fold covered by C4[ 288, 187 ] = PL(CS(Pr_ 12( 1, 1, 5, 5)[ 6^ 12], 1))

     4-fold covered by C4[ 288, 188 ] = PL(CS(Pr_ 12( 1, 1, 5, 5)[ 3^ 24], 1))

     4-fold covered by C4[ 288, 189 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 4, 1)

     4-fold covered by C4[ 288, 191 ] = BGCG(MPS( 4, 24; 5), C_ 3, 3)

     4-fold covered by C4[ 288, 194 ] = BGCG(R_ 24( 8, 19), C_ 3, 1)

     4-fold covered by C4[ 288, 195 ] = BGCG(R_ 24( 8, 19), C_ 3, 2)

     4-fold covered by C4[ 288, 199 ] = BGCG(PX( 6, 3), C_ 3, 6)

     4-fold covered by C4[ 288, 206 ] = BGCG(AMC( 3, 8, [ 5. 5: 5. 2]), C_ 3, 2)

     4-fold covered by C4[ 288, 215 ] = SDD(Pr_ 24( 1, 1, 5, 5))

     4-fold covered by C4[ 288, 216 ] = SDD(Pr_ 24( 1, 13, 17, 5))

     4-fold covered by C4[ 288, 245 ] = BGCG(UG(ATD[144,32]); K1;{6, 9})

     4-fold covered by C4[ 288, 246 ] = BGCG(UG(ATD[144,33]); K1;3)

     4-fold covered by C4[ 288, 247 ] = BGCG(UG(ATD[144,77]); K1;2)

     5-fold covered by C4[ 360, 54 ] = PL(WH_ 60( 2, 0, 13, 17), [3^60, 30^6])

     5-fold covered by C4[ 360, 153 ] = XI(Rmap(180,165){12,30|4}_15)

     5-fold covered by C4[ 360, 170 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 5, 1)

     6-fold covered by C4[ 432, 159 ] = PL(ATD[9,1]#ATD[12,1])

     6-fold covered by C4[ 432, 162 ] = PL(ATD[9,1]#ATD[36,6])

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

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

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

     6-fold covered by C4[ 432, 180 ] = XI(Rmap(216,13){6,6|6}_12)

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

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

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

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

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

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

     6-fold covered by C4[ 432, 204 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 6, 1)

     6-fold covered by C4[ 432, 232 ] = BGCG(UG(ATD[72,13]), C_ 3, 7)

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

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

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

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

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

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

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

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

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

     7-fold covered by C4[ 504, 62 ] = PL(WH_ 84( 2, 0, 19, 23), [3^84, 42^6])

     7-fold covered by C4[ 504, 149 ] = XI(Rmap(252,203){12,42|4}_21)

     7-fold covered by C4[ 504, 161 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 7, 1)

BGCG dissections of this graph

     Base Graph: C4[ 9, 1 ] = DW( 3, 3)   connection graph:  [K_4]

     Base Graph: C4[ 12, 1 ] = W( 6, 2)   connection graph:  [C_3]

     Base Graph: C4[ 12, 2 ] = R_ 6( 5, 4)   connection graph:  [C_3]

     Base Graph: C4[ 36, 5 ] = Pr_ 12( 1, 1, 5, 5)   connection graph:  [K_1]

Aut-Orbital graphs of this one:

      C4[ 12, 1 ] = W( 6, 2)

      C4[ 12, 2 ] = R_ 6( 5, 4)

      C4[ 24, 7 ] = SDD(Octahedron)

      C4[ 36, 5 ] = Pr_ 12( 1, 1, 5, 5)

      C4[ 72, 15 ] = PL(WH_ 12( 2, 0, 1, 5), [3^12, 6^6])