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On this page are all graphs related to C4[ 36, 5 ].

Graphs which this one covers

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

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

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

Graphs which cover this one

     2-fold covered by C4[ 72, 13 ] = Pr_ 24( 1, 1, 5, 5)

     2-fold covered by C4[ 72, 14 ] = Pr_ 24( 1, 13, 17, 5)

     2-fold covered by C4[ 72, 21 ] = UG(ATD[72,13])

     3-fold covered by C4[ 108, 9 ] = Pr_ 36( 1, 25, 29, 17)

     3-fold covered by C4[ 108, 13 ] = AMC( 3, 12, [ 1. 1: 9. 10])

     3-fold covered by C4[ 108, 15 ] = UG(ATD[108,1])

     3-fold covered by C4[ 108, 16 ] = UG(ATD[108,3])

     3-fold covered by C4[ 108, 18 ] = UG(ATD[108,18])

     4-fold covered by C4[ 144, 35 ] = UG(ATD[144,30])

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

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

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

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

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

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

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

     5-fold covered by C4[ 180, 18 ] = Pr_ 60( 1, 13, 17, 29)

     5-fold covered by C4[ 180, 24 ] = UG(ATD[180,17])

     6-fold covered by C4[ 216, 22 ] = Pr_ 72( 1, 25, 29, 53)

     6-fold covered by C4[ 216, 23 ] = Pr_ 72( 1, 61, 65, 53)

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

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

     6-fold covered by C4[ 216, 44 ] = UG(ATD[216,37])

     6-fold covered by C4[ 216, 45 ] = UG(ATD[216,39])

     6-fold covered by C4[ 216, 46 ] = UG(ATD[216,41])

     6-fold covered by C4[ 216, 47 ] = UG(ATD[216,43])

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

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

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

     6-fold covered by C4[ 216, 65 ] = UG(ATD[216,130])

     6-fold covered by C4[ 216, 66 ] = UG(ATD[216,132])

     6-fold covered by C4[ 216, 67 ] = UG(ATD[216,138])

     6-fold covered by C4[ 216, 68 ] = UG(ATD[216,140])

     7-fold covered by C4[ 252, 23 ] = Pr_ 84( 1, 61, 65, 41)

     7-fold covered by C4[ 252, 28 ] = UG(ATD[252,3])

     7-fold covered by C4[ 252, 29 ] = UG(ATD[252,5])

     7-fold covered by C4[ 252, 31 ] = UG(ATD[252,34])

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

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

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

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

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

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

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

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

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

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

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

     8-fold covered by C4[ 288, 106 ] = UG(ATD[288,128])

     8-fold covered by C4[ 288, 107 ] = UG(ATD[288,130])

     8-fold covered by C4[ 288, 108 ] = UG(ATD[288,132])

     8-fold covered by C4[ 288, 109 ] = UG(ATD[288,134])

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

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

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

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

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

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

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

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

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

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

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

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

     9-fold covered by C4[ 324, 14 ] = Pr_108( 1, 25, 29, 53)

     9-fold covered by C4[ 324, 24 ] = UG(ATD[324,1])

     9-fold covered by C4[ 324, 25 ] = UG(ATD[324,3])

     9-fold covered by C4[ 324, 26 ] = UG(ATD[324,5])

     9-fold covered by C4[ 324, 27 ] = UG(ATD[324,7])

     9-fold covered by C4[ 324, 43 ] = UG(ATD[324,62])

     9-fold covered by C4[ 324, 44 ] = UG(ATD[324,66])

     9-fold covered by C4[ 324, 45 ] = UG(ATD[324,68])

     9-fold covered by C4[ 324, 46 ] = UG(ATD[324,70])

     9-fold covered by C4[ 324, 47 ] = UG(ATD[324,72])

     9-fold covered by C4[ 324, 48 ] = UG(ATD[324,74])

     9-fold covered by C4[ 324, 49 ] = UG(ATD[324,76])

     9-fold covered by C4[ 324, 50 ] = UG(ATD[324,78])

     9-fold covered by C4[ 324, 51 ] = UG(ATD[324,80])

     9-fold covered by C4[ 324, 52 ] = UG(ATD[324,82])

     10-fold covered by C4[ 360, 52 ] = Pr_120( 1, 13, 17, 29)

     10-fold covered by C4[ 360, 53 ] = Pr_120( 1, 73, 77, 29)

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

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

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

     10-fold covered by C4[ 360, 82 ] = UG(ATD[360,128])

     10-fold covered by C4[ 360, 83 ] = UG(ATD[360,130])

     11-fold covered by C4[ 396, 13 ] = Pr_132( 1, 97,101, 65)

     11-fold covered by C4[ 396, 18 ] = UG(ATD[396,12])

     12-fold covered by C4[ 432, 60 ] = UG(ATD[432,19])

     12-fold covered by C4[ 432, 61 ] = UG(ATD[432,21])

     12-fold covered by C4[ 432, 62 ] = UG(ATD[432,23])

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

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

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

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

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

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

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

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

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

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

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

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

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

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

     12-fold covered by C4[ 432, 105 ] = UG(ATD[432,151])

     12-fold covered by C4[ 432, 106 ] = UG(ATD[432,153])

     12-fold covered by C4[ 432, 107 ] = UG(ATD[432,155])

     12-fold covered by C4[ 432, 109 ] = UG(ATD[432,158])

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

     13-fold covered by C4[ 468, 30 ] = Pr_156( 1, 37, 41, 77)

     13-fold covered by C4[ 468, 35 ] = UG(ATD[468,3])

     13-fold covered by C4[ 468, 36 ] = UG(ATD[468,5])

     13-fold covered by C4[ 468, 39 ] = UG(ATD[468,47])

     14-fold covered by C4[ 504, 60 ] = Pr_168( 1, 61, 65,125)

     14-fold covered by C4[ 504, 61 ] = Pr_168( 1,145,149,125)

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

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

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

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

     14-fold covered by C4[ 504, 83 ] = UG(ATD[504,67])

     14-fold covered by C4[ 504, 84 ] = UG(ATD[504,69])

     14-fold covered by C4[ 504, 85 ] = UG(ATD[504,71])

     14-fold covered by C4[ 504, 86 ] = UG(ATD[504,73])

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

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

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

     14-fold covered by C4[ 504, 96 ] = UG(ATD[504,171])

     14-fold covered by C4[ 504, 97 ] = UG(ATD[504,173])

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

      C4[ 72, 15 ] = PL(WH_ 12( 2, 0, 1, 5), [3^12, 6^6])    with connection graph  [K_1]

      C4[ 72, 21 ] = UG(ATD[72,13])    with connection graph  [K_1]

      C4[ 72, 22 ] = PL(ATD[6,1]#DCyc[3])    with connection graph  [K_1]

      C4[ 144, 39 ] = UG(ATD[144,39])    with connection graph  [K_2]

      C4[ 144, 45 ] = PL(ATD[12,1]#DCyc[3])    with connection graph  [K_2]

      C4[ 144, 60 ] = BGCG(R_ 12( 8, 7), C_ 3, {7, 8})    with connection graph  [K_2]

      C4[ 216, 31 ] = PL(ProjLR(3,6))    with connection graph  [C_3]

      C4[ 216, 48 ] = UG(ATD[216,45])    with connection graph  [C_3]

      C4[ 216, 56 ] = UG(ATD[216,71])    with connection graph  [C_3]

      C4[ 216, 88 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 3, 1)    with connection graph  [C_3]

      C4[ 216, 95 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K1;{1, 7})    with connection graph  [C_3]

      C4[ 216, 97 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K1;6)    with connection graph  [C_3]

      C4[ 288, 73 ] = UG(ATD[288,24])    with connection graph  [K_4]

      C4[ 288, 93 ] = UG(ATD[288,91])    with connection graph  [K_4]

      C4[ 288, 98 ] = UG(ATD[288,106])    with connection graph  [C_4]

      C4[ 288, 140 ] = PL(ATD[6,1]#ATD[36,6])    with connection graph  [K_4]

      C4[ 288, 153 ] = XI(Rmap(144,3){3,6|6}_24)    with connection graph  [K_4]

      C4[ 288, 189 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 4, 1)    with connection graph  [C_4]

      C4[ 288, 198 ] = BGCG(PX( 6, 3), C_ 3, {1, 2})    with connection graph  [K_4]

      C4[ 288, 202 ] = BGCG(PX( 6, 3), C_ 3, 9)    with connection graph  [C_4]

      C4[ 288, 245 ] = BGCG(UG(ATD[144,32]); K1;{6, 9})    with connection graph  [K_4]

      C4[ 288, 249 ] = SS[288, 4]    with connection graph  [K_4]

      C4[ 360, 76 ] = UG(ATD[360,53])    with connection graph  [C_5]

      C4[ 360, 106 ] = UG(ATD[360,167])    with connection graph  [K_5]

      C4[ 360, 134 ] = PL(L(C3SS120))    with connection graph  [K_5]

      C4[ 360, 150 ] = XI(Rmap(180,137){10,6|4}_12)    with connection graph  [K_5]

      C4[ 360, 170 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 5, 1)    with connection graph  [C_5]

      C4[ 360, 183 ] = BGCG(MG(Rmap(60,57){4,6|6}_10), C_ 3, 3)    with connection graph  [K_5]

      C4[ 432, 84 ] = UG(ATD[432,91])    with connection graph  [K_3,3]

      C4[ 432, 115 ] = UG(ATD[432,175])    with connection graph  [C_6]

      C4[ 432, 116 ] = UG(ATD[432,178])    with connection graph  [C_6]

      C4[ 432, 159 ] = PL(ATD[9,1]#ATD[12,1])    with connection graph  [K_3,3]

      C4[ 432, 162 ] = PL(ATD[9,1]#ATD[36,6])    with connection graph  [K_3,3]

      C4[ 432, 180 ] = XI(Rmap(216,13){6,6|6}_12)    with connection graph  [C_6]

      C4[ 432, 204 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 6, 1)    with connection graph  [C_6]

      C4[ 432, 231 ] = BGCG(UG(ATD[72,13]), C_ 3, 3)    with connection graph  [K_3,3]

      C4[ 432, 233 ] = BGCG(UG(ATD[72,13]), C_ 3, 8)    with connection graph  [C_6]

      C4[ 432, 258 ] = BGCG(UG(ATD[216,71]); K1;{1, 8})    with connection graph  [C_6]

      C4[ 432, 262 ] = BGCG(UG(ATD[216,71]); K1;6)    with connection graph  [C_6]

      C4[ 432, 265 ] = BGCG(UG(ATD[216,71]); K1;12)    with connection graph  [C_6]

      C4[ 504, 92 ] = UG(ATD[504,100])    with connection graph  [C_7]

      C4[ 504, 99 ] = UG(ATD[504,180])    with connection graph  [K_7]

      C4[ 504, 100 ] = UG(ATD[504,181])    with connection graph  [K_7]

      C4[ 504, 161 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 7, 1)    with connection graph  [C_7]

Aut-Orbital graphs of this one:

      C4[ 12, 1 ] = W( 6, 2)

      C4[ 12, 2 ] = R_ 6( 5, 4)

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