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On this page are all graphs related to C4[ 72, 21 ].

Graphs which this one covers

     12-fold cover of C4[ 6, 1 ] = Octahedron

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

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

     6-fold cover of C4[ 12, 2 ] = R_ 6( 5, 4)

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

     3-fold cover of C4[ 24, 4 ] = R_ 12( 8, 7)

     2-fold cover of C4[ 36, 5 ] = Pr_ 12( 1, 1, 5, 5)

Graphs which cover this one

     2-fold covered by C4[ 144, 37 ] = UG(ATD[144,33])

     2-fold covered by C4[ 144, 38 ] = UG(ATD[144,36])

     2-fold covered by C4[ 144, 39 ] = UG(ATD[144,39])

     2-fold covered by C4[ 144, 40 ] = UG(ATD[144,69])

     2-fold covered by C4[ 144, 41 ] = UG(ATD[144,72])

     2-fold covered by C4[ 144, 42 ] = UG(ATD[144,77])

     2-fold covered by C4[ 144, 43 ] = UG(ATD[144,82])

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

     3-fold covered by C4[ 216, 39 ] = UG(ATD[216,13])

     3-fold covered by C4[ 216, 40 ] = UG(ATD[216,15])

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

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

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

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

     4-fold covered by C4[ 288, 70 ] = UG(ATD[288,19])

     4-fold covered by C4[ 288, 92 ] = UG(ATD[288,88])

     4-fold covered by C4[ 288, 93 ] = UG(ATD[288,91])

     4-fold covered by C4[ 288, 94 ] = UG(ATD[288,94])

     4-fold covered by C4[ 288, 95 ] = UG(ATD[288,97])

     4-fold covered by C4[ 288, 96 ] = UG(ATD[288,100])

     4-fold covered by C4[ 288, 98 ] = UG(ATD[288,106])

     4-fold covered by C4[ 288, 99 ] = UG(ATD[288,109])

     4-fold covered by C4[ 288, 100 ] = UG(ATD[288,112])

     4-fold covered by C4[ 288, 101 ] = UG(ATD[288,115])

     4-fold covered by C4[ 288, 102 ] = UG(ATD[288,118])

     4-fold covered by C4[ 288, 115 ] = UG(ATD[288,203])

     4-fold covered by C4[ 288, 117 ] = UG(ATD[288,209])

     4-fold covered by C4[ 288, 118 ] = UG(ATD[288,212])

     4-fold covered by C4[ 288, 119 ] = UG(ATD[288,215])

     4-fold covered by C4[ 288, 120 ] = UG(ATD[288,218])

     4-fold covered by C4[ 288, 122 ] = UG(ATD[288,224])

     4-fold covered by C4[ 288, 123 ] = UG(ATD[288,227])

     4-fold covered by C4[ 288, 125 ] = UG(ATD[288,233])

     4-fold covered by C4[ 288, 126 ] = UG(ATD[288,236])

     4-fold covered by C4[ 288, 128 ] = UG(ATD[288,242])

     4-fold covered by C4[ 288, 129 ] = UG(ATD[288,245])

     4-fold covered by C4[ 288, 131 ] = UG(ATD[288,251])

     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, 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, 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, 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})

     5-fold covered by C4[ 360, 75 ] = UG(ATD[360,50])

     5-fold covered by C4[ 360, 76 ] = UG(ATD[360,53])

     5-fold covered by C4[ 360, 77 ] = UG(ATD[360,56])

     6-fold covered by C4[ 432, 63 ] = UG(ATD[432,25])

     6-fold covered by C4[ 432, 64 ] = UG(ATD[432,27])

     6-fold covered by C4[ 432, 65 ] = UG(ATD[432,29])

     6-fold covered by C4[ 432, 66 ] = UG(ATD[432,31])

     6-fold covered by C4[ 432, 67 ] = UG(ATD[432,33])

     6-fold covered by C4[ 432, 68 ] = UG(ATD[432,35])

     6-fold covered by C4[ 432, 73 ] = UG(ATD[432,69])

     6-fold covered by C4[ 432, 74 ] = UG(ATD[432,71])

     6-fold covered by C4[ 432, 75 ] = UG(ATD[432,73])

     6-fold covered by C4[ 432, 76 ] = UG(ATD[432,75])

     6-fold covered by C4[ 432, 77 ] = UG(ATD[432,77])

     6-fold covered by C4[ 432, 78 ] = UG(ATD[432,79])

     6-fold covered by C4[ 432, 79 ] = UG(ATD[432,81])

     6-fold covered by C4[ 432, 80 ] = UG(ATD[432,83])

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

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

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

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

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

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

     6-fold covered by C4[ 432, 116 ] = UG(ATD[432,178])

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

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

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

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

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

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

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

     6-fold covered by C4[ 432, 148 ] = UG(ATD[432,319])

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

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

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

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

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

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

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

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

     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, 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, 231 ] = BGCG(UG(ATD[72,13]), C_ 3, 3)

     6-fold covered by C4[ 432, 233 ] = BGCG(UG(ATD[72,13]), C_ 3, 8)

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

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

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

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

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

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

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

     7-fold covered by C4[ 504, 77 ] = UG(ATD[504,15])

     7-fold covered by C4[ 504, 78 ] = UG(ATD[504,17])

     7-fold covered by C4[ 504, 79 ] = UG(ATD[504,19])

     7-fold covered by C4[ 504, 80 ] = UG(ATD[504,21])

     7-fold covered by C4[ 504, 91 ] = UG(ATD[504,97])

     7-fold covered by C4[ 504, 92 ] = UG(ATD[504,100])

     7-fold covered by C4[ 504, 93 ] = UG(ATD[504,103])

BGCG dissections of this graph

     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]

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

      C4[ 144, 21 ] = PL(MC3( 6, 12, 1, 7, 5, 0, 1), [4^18, 6^12])    with connection graph  [K_1]

      C4[ 144, 37 ] = UG(ATD[144,33])    with connection graph  [K_1]

      C4[ 144, 38 ] = UG(ATD[144,36])    with connection graph  [K_1]

      C4[ 144, 53 ] = PL(CSI(Octahedron[ 3^ 4], 6))    with connection graph  [K_1]

      C4[ 144, 54 ] = PL(CSI(W( 6, 2)[ 6^ 4], 3))    with connection graph  [K_1]

      C4[ 144, 60 ] = BGCG(R_ 12( 8, 7), C_ 3, {7, 8})    with connection graph  [K_1]

      C4[ 288, 99 ] = UG(ATD[288,109])    with connection graph  [K_2]

      C4[ 288, 102 ] = UG(ATD[288,118])    with connection graph  [K_2]

      C4[ 288, 146 ] = PL(ATD[12,1]#DCyc[6])    with connection graph  [K_2]

      C4[ 288, 171 ] = BGCG(R_ 12( 8, 7), C_ 6, {7, 8})    with connection graph  [K_2]

      C4[ 288, 199 ] = BGCG(PX( 6, 3), C_ 3, 6)    with connection graph  [K_2]

      C4[ 288, 201 ] = BGCG(PX( 6, 3), C_ 3, 8)    with connection graph  [K_2]

      C4[ 432, 83 ] = UG(ATD[432,88])    with connection graph  [C_3]

      C4[ 432, 84 ] = UG(ATD[432,91])    with connection graph  [C_3]

      C4[ 432, 114 ] = UG(ATD[432,172])    with connection graph  [C_3]

      C4[ 432, 116 ] = UG(ATD[432,178])    with connection graph  [C_3]

      C4[ 432, 119 ] = UG(ATD[432,187])    with connection graph  [C_3]

      C4[ 432, 159 ] = PL(ATD[9,1]#ATD[12,1])    with connection graph  [C_3]

      C4[ 432, 162 ] = PL(ATD[9,1]#ATD[36,6])    with connection graph  [C_3]

      C4[ 432, 187 ] = XI(Rmap(216,82){12,12|3}_12)    with connection graph  [C_3]

      C4[ 432, 204 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 6, 1)    with connection graph  [C_3]

      C4[ 432, 230 ] = BGCG(UG(ATD[72,13]), C_ 3, 1)    with connection graph  [C_3]

      C4[ 432, 231 ] = BGCG(UG(ATD[72,13]), C_ 3, 3)    with connection graph  [C_3]

      C4[ 432, 232 ] = BGCG(UG(ATD[72,13]), C_ 3, 7)    with connection graph  [C_3]

      C4[ 432, 233 ] = BGCG(UG(ATD[72,13]), C_ 3, 8)    with connection graph  [C_3]

      C4[ 432, 234 ] = BGCG(UG(ATD[72,13]), C_ 3, 10)    with connection graph  [C_3]

      C4[ 432, 238 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;{1, 7})    with connection graph  [C_3]

      C4[ 432, 241 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;5)    with connection graph  [C_3]

      C4[ 432, 242 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;6)    with connection graph  [C_3]

      C4[ 432, 259 ] = BGCG(UG(ATD[216,71]); K1;2)    with connection graph  [C_3]

      C4[ 432, 263 ] = BGCG(UG(ATD[216,71]); K1;7)    with connection graph  [C_3]

      C4[ 432, 264 ] = BGCG(UG(ATD[216,71]); K1;{9, 13})    with connection graph  [C_3]

Aut-Orbital graphs of this one:

      C4[ 12, 1 ] = W( 6, 2)

      C4[ 12, 2 ] = R_ 6( 5, 4)

      C4[ 24, 4 ] = R_ 12( 8, 7)

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

      C4[ 72, 21 ] = UG(ATD[72,13])