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On this page are all graphs related to C4[ 27, 1 ].

Graphs which this one covers

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

Graphs which cover this one

     2-fold covered by C4[ 54, 2 ] = DW( 18, 3)

     3-fold covered by C4[ 81, 1 ] = DW( 27, 3)

     3-fold covered by C4[ 81, 3 ] = PS( 9, 9; 2)

     3-fold covered by C4[ 81, 4 ] = PS( 3, 27; 8)

     3-fold covered by C4[ 81, 6 ] = AMC( 9, 3, [ 0. 1: 2. 2])

     4-fold covered by C4[ 108, 2 ] = DW( 36, 3)

     4-fold covered by C4[ 108, 3 ] = {4, 4}_[ 9, 6]

     4-fold covered by C4[ 108, 4 ] = {4, 4}_< 12, 6>

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

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

     5-fold covered by C4[ 135, 2 ] = DW( 45, 3)

     5-fold covered by C4[ 135, 3 ] = {4, 4}_< 12, 3>

     6-fold covered by C4[ 162, 2 ] = DW( 54, 3)

     6-fold covered by C4[ 162, 4 ] = PS( 18, 9; 2)

     6-fold covered by C4[ 162, 5 ] = PS( 6, 27; 8)

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

     7-fold covered by C4[ 189, 2 ] = DW( 63, 3)

     7-fold covered by C4[ 189, 3 ] = {4, 4}_< 15, 6>

     7-fold covered by C4[ 189, 6 ] = PS( 9, 21; 4)

     7-fold covered by C4[ 189, 9 ] = PS( 3, 63; 17)

     8-fold covered by C4[ 216, 4 ] = DW( 72, 3)

     8-fold covered by C4[ 216, 5 ] = {4, 4}_[ 12, 9]

     8-fold covered by C4[ 216, 6 ] = {4, 4}_< 15, 3>

     8-fold covered by C4[ 216, 7 ] = {4, 4}_[ 18, 6]

     8-fold covered by C4[ 216, 8 ] = {4, 4}_< 21, 15>

     8-fold covered by C4[ 216, 10 ] = PS( 18, 24; 5)

     8-fold covered by C4[ 216, 11 ] = PS( 18, 24; 7)

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

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

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

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

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

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

     9-fold covered by C4[ 243, 1 ] = DW( 81, 3)

     9-fold covered by C4[ 243, 2 ] = {4, 4}_< 18, 9>

     9-fold covered by C4[ 243, 3 ] = PS( 27, 9; 2)

     9-fold covered by C4[ 243, 4 ] = PS( 9, 27; 2)

     9-fold covered by C4[ 243, 5 ] = PS( 9, 27; 4)

     9-fold covered by C4[ 243, 6 ] = PS( 9, 27; 5)

     9-fold covered by C4[ 243, 7 ] = PS( 9, 27; 8)

     9-fold covered by C4[ 243, 8 ] = PS( 3, 81; 26)

     9-fold covered by C4[ 243, 10 ] = AMC( 27, 3, [ 0. 1: 2. 2])

     9-fold covered by C4[ 243, 18 ] = UG(ATD[243,30])

     9-fold covered by C4[ 243, 19 ] = UG(ATD[243,32])

     9-fold covered by C4[ 243, 20 ] = UG(ATD[243,34])

     9-fold covered by C4[ 243, 21 ] = UG(ATD[243,38])

     9-fold covered by C4[ 243, 22 ] = UG(ATD[243,40])

     10-fold covered by C4[ 270, 3 ] = DW( 90, 3)

     10-fold covered by C4[ 270, 4 ] = {4, 4}_[ 15, 9]

     10-fold covered by C4[ 270, 7 ] = PS( 18, 15; 4)

     11-fold covered by C4[ 297, 2 ] = DW( 99, 3)

     11-fold covered by C4[ 297, 3 ] = {4, 4}_< 21, 12>

     12-fold covered by C4[ 324, 2 ] = DW(108, 3)

     12-fold covered by C4[ 324, 4 ] = {4, 4}_[ 18, 9]

     12-fold covered by C4[ 324, 5 ] = {4, 4}_[ 27, 6]

     12-fold covered by C4[ 324, 6 ] = {4, 4}_< 30, 24>

     12-fold covered by C4[ 324, 7 ] = PS( 36, 9; 2)

     12-fold covered by C4[ 324, 8 ] = PS( 9, 36; 11)

     12-fold covered by C4[ 324, 9 ] = PS( 18, 36; 5)

     12-fold covered by C4[ 324, 10 ] = PS( 12, 27; 8)

     12-fold covered by C4[ 324, 11 ] = PS( 3,108; 35)

     12-fold covered by C4[ 324, 12 ] = PS( 6,108; 17)

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

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

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

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

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

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

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

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

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

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

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

     12-fold covered by C4[ 324, 60 ] = UG(ATD[324,115])

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

     13-fold covered by C4[ 351, 2 ] = DW(117, 3)

     13-fold covered by C4[ 351, 3 ] = {4, 4}_< 24, 15>

     13-fold covered by C4[ 351, 6 ] = PS( 9, 39; 16)

     13-fold covered by C4[ 351, 8 ] = PS( 3,117; 17)

     14-fold covered by C4[ 378, 3 ] = DW(126, 3)

     14-fold covered by C4[ 378, 4 ] = {4, 4}_[ 21, 9]

     14-fold covered by C4[ 378, 7 ] = PS( 18, 21; 2)

     14-fold covered by C4[ 378, 8 ] = PS( 18, 21; 4)

     14-fold covered by C4[ 378, 9 ] = PS( 18, 21; 8)

     14-fold covered by C4[ 378, 16 ] = PS( 6, 63; 17)

     15-fold covered by C4[ 405, 2 ] = DW(135, 3)

     15-fold covered by C4[ 405, 4 ] = {4, 4}_< 21, 6>

     15-fold covered by C4[ 405, 5 ] = {4, 4}_< 27, 18>

     15-fold covered by C4[ 405, 6 ] = PS( 45, 9; 2)

     15-fold covered by C4[ 405, 7 ] = PS( 15, 27; 8)

     15-fold covered by C4[ 405, 8 ] = PS( 9, 45; 14)

     15-fold covered by C4[ 405, 9 ] = PS( 3,135; 44)

     15-fold covered by C4[ 405, 11 ] = AMC( 45, 3, [ 0. 1: 2. 2])

     15-fold covered by C4[ 405, 13 ] = UG(ATD[405,21])

     16-fold covered by C4[ 432, 4 ] = DW(144, 3)

     16-fold covered by C4[ 432, 5 ] = {4, 4}_[ 18, 12]

     16-fold covered by C4[ 432, 6 ] = {4, 4}_< 21, 3>

     16-fold covered by C4[ 432, 7 ] = {4, 4}_[ 24, 9]

     16-fold covered by C4[ 432, 8 ] = {4, 4}_< 24, 12>

     16-fold covered by C4[ 432, 9 ] = {4, 4}_[ 36, 6]

     16-fold covered by C4[ 432, 10 ] = {4, 4}_< 39, 33>

     16-fold covered by C4[ 432, 14 ] = PS( 36, 24; 5)

     16-fold covered by C4[ 432, 15 ] = MPS( 36, 24; 5)

     16-fold covered by C4[ 432, 18 ] = PS( 18, 48; 7)

     16-fold covered by C4[ 432, 19 ] = PS( 18, 48; 17)

     16-fold covered by C4[ 432, 24 ] = MPS( 12, 72; 17)

     16-fold covered by C4[ 432, 81 ] = UG(ATD[432,85])

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

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

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

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

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

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

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

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

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

     16-fold covered by C4[ 432, 142 ] = UG(ATD[432,301])

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

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

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

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

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

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

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

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

     17-fold covered by C4[ 459, 2 ] = DW(153, 3)

     17-fold covered by C4[ 459, 3 ] = {4, 4}_< 30, 21>

     18-fold covered by C4[ 486, 2 ] = DW(162, 3)

     18-fold covered by C4[ 486, 3 ] = {4, 4}_[ 27, 9]

     18-fold covered by C4[ 486, 4 ] = PS( 54, 9; 2)

     18-fold covered by C4[ 486, 5 ] = PS( 18, 27; 2)

     18-fold covered by C4[ 486, 6 ] = PS( 18, 27; 4)

     18-fold covered by C4[ 486, 7 ] = PS( 18, 27; 5)

     18-fold covered by C4[ 486, 8 ] = PS( 18, 27; 8)

     18-fold covered by C4[ 486, 9 ] = PS( 6, 81; 26)

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

     18-fold covered by C4[ 486, 23 ] = UG(ATD[486,21])

     18-fold covered by C4[ 486, 24 ] = UG(ATD[486,25])

     18-fold covered by C4[ 486, 25 ] = UG(ATD[486,27])

     18-fold covered by C4[ 486, 52 ] = UG(ATD[486,86])

     18-fold covered by C4[ 486, 53 ] = UG(ATD[486,89])

     18-fold covered by C4[ 486, 54 ] = UG(ATD[486,92])

     18-fold covered by C4[ 486, 55 ] = UG(ATD[486,98])

     18-fold covered by C4[ 486, 56 ] = UG(ATD[486,101])

     18-fold covered by C4[ 486, 57 ] = UG(ATD[486,104])

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

      C4[ 54, 2 ] = DW( 18, 3)    with connection graph  [K_1]

      C4[ 108, 4 ] = {4, 4}_< 12, 6>    with connection graph  [K_2]

      C4[ 162, 6 ] = CPM( 3, 2, 9, 1)    with connection graph  [C_3]

      C4[ 162, 8 ] = AMC( 18, 3, [ 0. 1: 2. 2])    with connection graph  [C_3]

      C4[ 162, 15 ] = UG(ATD[162,16])    with connection graph  [C_3]

      C4[ 162, 16 ] = UG(ATD[162,26])    with connection graph  [C_3]

      C4[ 162, 17 ] = UG(ATD[162,29])    with connection graph  [C_3]

      C4[ 162, 18 ] = XI(Rmap(81,3){3,6|6}_18)    with connection graph  [C_3]

      C4[ 162, 19 ] = XI(Rmap(81,32){6,18|6}_9)    with connection graph  [C_3]

      C4[ 162, 20 ] = XI(Rmap(81,33){6,18|6}_9)    with connection graph  [C_3]

      C4[ 216, 11 ] = PS( 18, 24; 7)    with connection graph  [C_4]

      C4[ 216, 24 ] = PL(WH_ 36( 2, 0, 7, 11), [3^36, 18^6])    with connection graph  [K_4]

      C4[ 216, 26 ] = PL(WH_ 36( 9, 1, 19, 24), [4^27, 9^12])    with connection graph  [C_4]

      C4[ 216, 69 ] = PL(ATD[6,1]#DCyc[9])    with connection graph  [K_4]

      C4[ 216, 70 ] = PL(ATD[6,1]#ATD[27,3])    with connection graph  [K_4]

      C4[ 216, 78 ] = XI(Rmap(108,45){9,18|18}_12)    with connection graph  [K_4]

      C4[ 270, 7 ] = PS( 18, 15; 4)    with connection graph  [C_5]

      C4[ 324, 42 ] = UG(ATD[324,58])    with connection graph  [K_3,3]

      C4[ 324, 59 ] = UG(ATD[324,112])    with connection graph  [C_6]

      C4[ 324, 60 ] = UG(ATD[324,115])    with connection graph  [C_6]

      C4[ 324, 63 ] = UG(ATD[324,127])    with connection graph  [C_6]

      C4[ 324, 64 ] = UG(ATD[324,130])    with connection graph  [C_6]

      C4[ 324, 69 ] = PL(ATD[9,1]#DCyc[9])    with connection graph  [K_3,3]

      C4[ 324, 76 ] = XI(Rmap(162,14){6,18|6}_6)    with connection graph  [C_6]

      C4[ 324, 77 ] = XI(Rmap(162,17){6,18|6}_18)    with connection graph  [C_6]

      C4[ 324, 78 ] = XI(Rmap(162,18){6,18|6}_18)    with connection graph  [C_6]

      C4[ 324, 79 ] = XI(Rmap(162,19){6,18|6}_18)    with connection graph  [C_6]

      C4[ 324, 91 ] = BGCG({4, 4}_ 9, 9; K1;{8, 9})    with connection graph  [K_3,3]

      C4[ 324, 92 ] = BGCG({4, 4}_ 9, 9; K1;{13, 14, 16, 17, 18, 19})    with connection graph  [K_3,3]

      C4[ 378, 9 ] = PS( 18, 21; 8)    with connection graph  [C_7]

      C4[ 432, 19 ] = PS( 18, 48; 17)    with connection graph  [C_8]

      C4[ 432, 43 ] = PL(WH_ 72( 9, 1, 24, 55), [8^27, 9^24])    with connection graph  [C_8]

      C4[ 432, 163 ] = PL(ATD[9,1]#ATD[36,13])    with connection graph  [Q_3]

      C4[ 432, 164 ] = PL(ATD[12,1]#DCyc[9])    with connection graph  [Q_3]

      C4[ 432, 167 ] = PL(ATD[12,4]#DCyc[9])    with connection graph  [Q_3]

      C4[ 432, 172 ] = PL(ATD[36,10]#DCyc[3])    with connection graph  [Q_3]

      C4[ 486, 11 ] = CPM( 9, 2, 3, 1)    with connection graph  [C_9]

      C4[ 486, 46 ] = UG(ATD[486,66])    with connection graph  [C_9]

      C4[ 486, 47 ] = UG(ATD[486,67])    with connection graph  [C_9]

      C4[ 486, 50 ] = UG(ATD[486,74])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 52 ] = UG(ATD[486,86])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 55 ] = UG(ATD[486,98])    with connection graph  [C_9]

      C4[ 486, 56 ] = UG(ATD[486,101])    with connection graph  [C_9]

      C4[ 486, 57 ] = UG(ATD[486,104])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 62 ] = UG(ATD[486,119])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 63 ] = UG(ATD[486,125])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 71 ] = XI(Rmap(243,31){9,18|18}_18)    with connection graph  [C_9]

      C4[ 486, 73 ] = XI(Rmap(243,34){9,18|18}_18)    with connection graph  [C_9]

      C4[ 486, 74 ] = XI(Rmap(243,70){6,18|6}_9)    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 77 ] = BGCG(UG(ATD[81,12]), C_ 3, {1, 3})    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 78 ] = BGCG(UG(ATD[81,14]), C_ 3, {2, 3})    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 80 ] = BGCG(AMC( 3, 9, [ 1. 8: 3. 7]); K1;{2, 4})    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 81 ] = BGCG(AMC( 3, 9, [ 1. 8: 3. 7]); K1;{3, 9})    with connection graph  [CV = 9, Cdeg = 6]

Aut-Orbital graphs of this one:

      C4[ 9, 1 ] = DW( 3, 3)

      C4[ 27, 1 ] = DW( 9, 3)