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On this page are all graphs related to C4[ 72, 17 ].

Graphs which this one covers

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

     2-fold cover of C4[ 36, 7 ] = SDD(DW( 3, 3))

Graphs which cover this one

     2-fold covered by C4[ 144, 46 ] = PL(ATD[18,2]#DCyc[4])

     2-fold covered by C4[ 144, 48 ] = SDD({4, 4}_ 6, 0)

     2-fold covered by C4[ 144, 63 ] = BGCG({4, 4}_ 6, 6; K1;{2, 5})

     2-fold covered by C4[ 144, 64 ] = BGCG({4, 4}_ 6, 6; K1;{13, 16})

     2-fold covered by C4[ 144, 72 ] = SS[144, 26]

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

     3-fold covered by C4[ 216, 86 ] = BGCG(DW( 12, 3), C_ 3, 2)

     3-fold covered by C4[ 216, 89 ] = BGCG(AMC( 6, 3, [ 0. 1: 2. 2]); K2;{8, 9})

     3-fold covered by C4[ 216, 98 ] = BGCG(UG(ATD[108,14]); K1;6)

     4-fold covered by C4[ 288, 60 ] = PL(RC( 6, 4), [4^36, 6^24])

     4-fold covered by C4[ 288, 139 ] = PL(ATD[6,1]#ATD[12,3])

     4-fold covered by C4[ 288, 141 ] = PL(ATD[8,1]#ATD[18,2])

     4-fold covered by C4[ 288, 148 ] = PL(ATD[18,2]#DCyc[8])

     4-fold covered by C4[ 288, 151 ] = PL(ATD[36,2]#DCyc[4])

     4-fold covered by C4[ 288, 152 ] = PL(ATD[36,7]#DCyc[4])

     4-fold covered by C4[ 288, 154 ] = SDD({4, 4}_ 6, 6)

     4-fold covered by C4[ 288, 162 ] = SDD(PS( 6, 24; 7))

     4-fold covered by C4[ 288, 177 ] = PL(CS({4, 4}_ 6, 0[ 6^ 12], 1))

     4-fold covered by C4[ 288, 178 ] = PL(CS({4, 4}_ 6, 0[ 12^ 6], 1))

     4-fold covered by C4[ 288, 179 ] = PL(CS({4, 4}_ 6, 0[ 4^ 18], 1))

     4-fold covered by C4[ 288, 180 ] = BGCG({4, 4}_ 6, 0, C_ 4, {1, 2})

     4-fold covered by C4[ 288, 181 ] = BGCG({4, 4}_ 6, 0, C_ 4, {3, 5, 9, 10})

     4-fold covered by C4[ 288, 182 ] = BGCG({4, 4}_ 6, 0, C_ 4, {6, 7})

     4-fold covered by C4[ 288, 201 ] = BGCG(PX( 6, 3), C_ 3, 8)

     4-fold covered by C4[ 288, 203 ] = BGCG(PX( 6, 3), C_ 3, 10)

     4-fold covered by C4[ 288, 208 ] = BGCG({4, 4}_ 6, 6; K2;{2, 5})

     4-fold covered by C4[ 288, 209 ] = BGCG({4, 4}_ 6, 6; K2;{13, 16})

     4-fold covered by C4[ 288, 211 ] = SDD(PS( 6, 24; 5))

     4-fold covered by C4[ 288, 220 ] = BGCG({4, 4}_ 12, 0; K1;{2, 10})

     4-fold covered by C4[ 288, 221 ] = BGCG({4, 4}_ 12, 0; K1;{9, 13})

     4-fold covered by C4[ 288, 222 ] = BGCG({4, 4}_ 12, 0; K1;{17, 24})

     4-fold covered by C4[ 288, 223 ] = BGCG({4, 4}_ 12, 0; K1;{23, 26})

     4-fold covered by C4[ 288, 224 ] = BGCG(PL(MSY( 6, 12, 5, 6)); K1;2)

     4-fold covered by C4[ 288, 225 ] = BGCG(PL(MSY( 6, 12, 5, 6)); K1;3)

     4-fold covered by C4[ 288, 226 ] = BGCG(PL(MSY( 6, 12, 5, 6)); K1;4)

     4-fold covered by C4[ 288, 227 ] = BGCG(PL(MSY( 6, 12, 5, 6)); K1;6)

     4-fold covered by C4[ 288, 240 ] = BGCG(UG(ATD[144,12]); K1;1)

     4-fold covered by C4[ 288, 241 ] = BGCG(UG(ATD[144,12]); K1;4)

     4-fold covered by C4[ 288, 251 ] = SS[288, 6]

     4-fold covered by C4[ 288, 252 ] = SS[288, 8]

     4-fold covered by C4[ 288, 258 ] = SS[288, 20]

     5-fold covered by C4[ 360, 56 ] = PL(WH_ 60( 3, 17, 23, 30), [6^30, 20^9])

     5-fold covered by C4[ 360, 58 ] = PL(WH_ 60( 15, 1, 31, 54), [4^45, 30^6])

     5-fold covered by C4[ 360, 167 ] = BGCG({4, 4}_ 6, 0, C_ 5, 1)

     5-fold covered by C4[ 360, 173 ] = PL(CS({4, 4}_ 6, 3[ 15^ 6], 1))

     5-fold covered by C4[ 360, 197 ] = BGCG(MSZ ( 12, 15, 5, 2); K1;5)

     5-fold covered by C4[ 360, 201 ] = BGCG(UG(ATD[180,9]); K1;3)

     6-fold covered by C4[ 432, 50 ] = PL(RC( 6, 3), [6^36, 6^36])

     6-fold covered by C4[ 432, 160 ] = PL(ATD[9,1]#ATD[12,3])

     6-fold covered by C4[ 432, 166 ] = PL(ATD[12,3]#ATD[18,2])

     6-fold covered by C4[ 432, 169 ] = PL(ATD[18,2]#DCyc[12])

     6-fold covered by C4[ 432, 170 ] = PL(ATD[36,2]#DCyc[3])

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

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

     6-fold covered by C4[ 432, 178 ] = XI(Rmap(216,8){4,12|6}_12)

     6-fold covered by C4[ 432, 179 ] = SDD(UG(ATD[108,14]))

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

     6-fold covered by C4[ 432, 185 ] = SDD(CPM( 3, 2, 6, 1))

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

     6-fold covered by C4[ 432, 202 ] = BGCG({4, 4}_ 6, 0, C_ 6, {3, 5, 9, 10})

     6-fold covered by C4[ 432, 203 ] = BGCG({4, 4}_ 6, 0, C_ 6, {6, 7})

     6-fold covered by C4[ 432, 243 ] = BGCG(UG(ATD[108,14]); K2;6)

     6-fold covered by C4[ 432, 244 ] = BGCG(UG(ATD[108,24]); K2;{1, 2, 3, 6})

     6-fold covered by C4[ 432, 254 ] = BGCG(UG(ATD[216,54]); K1;{5, 7})

     6-fold covered by C4[ 432, 255 ] = BGCG(UG(ATD[216,54]); K1;{13, 15})

     6-fold covered by C4[ 432, 256 ] = BGCG(UG(ATD[216,56]); K1;1)

     6-fold covered by C4[ 432, 257 ] = BGCG(UG(ATD[216,56]); K1;2)

     6-fold covered by C4[ 432, 273 ] = BGCG(UG(ATD[216,81]); K1;4)

     6-fold covered by C4[ 432, 274 ] = BGCG(UG(ATD[216,81]); K1;6)

     6-fold covered by C4[ 432, 275 ] = BGCG(UG(ATD[216,81]); K1;7)

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

     7-fold covered by C4[ 504, 64 ] = PL(WH_ 84( 3, 25, 31, 42), [6^42, 28^9])

     7-fold covered by C4[ 504, 66 ] = PL(WH_ 84( 21, 1, 43, 54), [4^63, 42^6])

     7-fold covered by C4[ 504, 158 ] = BGCG({4, 4}_ 6, 0, C_ 7, 1)

     7-fold covered by C4[ 504, 169 ] = BGCG(UG(ATD[252,26]); K1;5)

BGCG dissections of this graph

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

     Base Graph: C4[ 18, 2 ] = DW( 6, 3)   connection graph:  [K_2]

     Base Graph: C4[ 36, 3 ] = {4, 4}_ 6, 0   connection graph:  [K_1]

Aut-Orbital graphs of this one:

      C4[ 8, 1 ] = K_4,4

      C4[ 72, 17 ] = PL(WH_ 12( 3, 1, 6, 7), [4^9, 6^6])