C4graphGraphs related to C4[ 64, 6 ] = MPS(8,16;3)

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On this page are all graphs related to C4[ 64, 6 ].

Graphs which this one covers

     8-fold cover of C4[ 8, 1 ] = K_4,4

     4-fold cover of C4[ 16, 2 ] = {4, 4}_ 4, 0

     2-fold cover of C4[ 32, 2 ] = {4, 4}_ 4, 4

Graphs which cover this one

     2-fold covered by C4[ 128, 6 ] = PS( 16, 16; 3)

     2-fold covered by C4[ 128, 25 ] = CPM( 8, 2, 4, 1)

     2-fold covered by C4[ 128, 39 ] = UG(ATD[128,63])

     2-fold covered by C4[ 128, 49 ] = BGCG({4, 4}_ 8, 0; K1;{2, 7, 10, 11})

     3-fold covered by C4[ 192, 11 ] = MPS( 24, 16; 3)

     3-fold covered by C4[ 192, 17 ] = MPS( 8, 48; 5)

     3-fold covered by C4[ 192, 192 ] = SS[192, 79]

     4-fold covered by C4[ 256, 7 ] = PS( 32, 16; 3)

     4-fold covered by C4[ 256, 9 ] = PS( 16, 32; 3)

     4-fold covered by C4[ 256, 11 ] = MPS( 16, 32; 3)

     4-fold covered by C4[ 256, 27 ] = MSZ ( 16, 16, 3, 7)

     4-fold covered by C4[ 256, 38 ] = CPM( 8, 2, 8, 1)

     4-fold covered by C4[ 256, 43 ] = UG(ATD[256,11])

     4-fold covered by C4[ 256, 44 ] = UG(ATD[256,13])

     4-fold covered by C4[ 256, 45 ] = UG(ATD[256,15])

     4-fold covered by C4[ 256, 46 ] = UG(ATD[256,17])

     4-fold covered by C4[ 256, 51 ] = UG(ATD[256,55])

     4-fold covered by C4[ 256, 63 ] = UG(ATD[256,103])

     4-fold covered by C4[ 256, 66 ] = UG(ATD[256,111])

     4-fold covered by C4[ 256, 67 ] = UG(ATD[256,114])

     4-fold covered by C4[ 256, 68 ] = UG(ATD[256,117])

     4-fold covered by C4[ 256, 69 ] = UG(ATD[256,120])

     4-fold covered by C4[ 256, 77 ] = UG(ATD[256,143])

     4-fold covered by C4[ 256, 87 ] = UG(ATD[256,173])

     4-fold covered by C4[ 256, 95 ] = UG(ATD[256,197])

     4-fold covered by C4[ 256, 97 ] = UG(ATD[256,203])

     4-fold covered by C4[ 256, 134 ] = BGCG({4, 4}_ 8, 8; K1;{7, 8, 10, 12})

     5-fold covered by C4[ 320, 13 ] = MPS( 40, 16; 3)

     5-fold covered by C4[ 320, 25 ] = MPS( 8, 80; 3)

     5-fold covered by C4[ 320, 28 ] = MPS( 8, 80; 11)

     5-fold covered by C4[ 320, 93 ] = UG(ATD[320,49])

     5-fold covered by C4[ 320, 113 ] = UG(ATD[320,144])

     5-fold covered by C4[ 320, 121 ] = UG(ATD[320,161])

     5-fold covered by C4[ 320, 122 ] = UG(ATD[320,165])

     5-fold covered by C4[ 320, 188 ] = BGCG(KE_40(1,25,18,13,19); K1;{4, 5})

     6-fold covered by C4[ 384, 12 ] = PS( 48, 16; 3)

     6-fold covered by C4[ 384, 20 ] = PS( 16, 48; 5)

     6-fold covered by C4[ 384, 22 ] = PS( 16, 48; 11)

     6-fold covered by C4[ 384, 99 ] = CPM( 8, 2, 12, 1)

     6-fold covered by C4[ 384, 212 ] = UG(ATD[384,333])

     6-fold covered by C4[ 384, 230 ] = UG(ATD[384,398])

     6-fold covered by C4[ 384, 231 ] = UG(ATD[384,401])

     6-fold covered by C4[ 384, 239 ] = UG(ATD[384,427])

     6-fold covered by C4[ 384, 446 ] = BGCG(MPS( 8, 48; 7); K1;{4, 5, 6, 10})

     7-fold covered by C4[ 448, 11 ] = MPS( 56, 16; 3)

     7-fold covered by C4[ 448, 17 ] = MPS( 8,112; 13)

     7-fold covered by C4[ 448, 75 ] = UG(ATD[448,95])

     8-fold covered by C4[ 512, 8 ] = PS( 64, 16; 3)

     8-fold covered by C4[ 512, 10 ] = PS( 32, 32; 3)

     8-fold covered by C4[ 512, 12 ] = MPS( 32, 32; 3)

     8-fold covered by C4[ 512, 14 ] = PS( 16, 64; 3)

     8-fold covered by C4[ 512, 15 ] = PS( 16, 64; 5)

     8-fold covered by C4[ 512, 18 ] = MPS( 16, 64; 3)

     8-fold covered by C4[ 512, 19 ] = MPS( 16, 64; 5)

     8-fold covered by C4[ 512, 39 ] = MSZ ( 16, 32, 3, 7)

     8-fold covered by C4[ 512, 40 ] = MSZ ( 16, 32, 3, 15)

     8-fold covered by C4[ 512, 41 ] = MSZ ( 32, 16, 7, 3)

     8-fold covered by C4[ 512, 51 ] = CPM( 8, 2, 16, 1)

     8-fold covered by C4[ 512, 52 ] = CPM( 16, 2, 4, 1)

     8-fold covered by C4[ 512, 60 ] = UG(ATD[512,19])

     8-fold covered by C4[ 512, 61 ] = UG(ATD[512,21])

     8-fold covered by C4[ 512, 62 ] = UG(ATD[512,23])

     8-fold covered by C4[ 512, 63 ] = UG(ATD[512,25])

     8-fold covered by C4[ 512, 64 ] = UG(ATD[512,33])

     8-fold covered by C4[ 512, 65 ] = UG(ATD[512,35])

     8-fold covered by C4[ 512, 69 ] = UG(ATD[512,47])

     8-fold covered by C4[ 512, 70 ] = UG(ATD[512,49])

     8-fold covered by C4[ 512, 71 ] = UG(ATD[512,51])

     8-fold covered by C4[ 512, 72 ] = UG(ATD[512,53])

     8-fold covered by C4[ 512, 73 ] = UG(ATD[512,55])

     8-fold covered by C4[ 512, 74 ] = UG(ATD[512,57])

     8-fold covered by C4[ 512, 77 ] = UG(ATD[512,63])

     8-fold covered by C4[ 512, 78 ] = UG(ATD[512,65])

     8-fold covered by C4[ 512, 79 ] = UG(ATD[512,67])

     8-fold covered by C4[ 512, 80 ] = UG(ATD[512,69])

     8-fold covered by C4[ 512, 81 ] = UG(ATD[512,71])

     8-fold covered by C4[ 512, 82 ] = UG(ATD[512,73])

     8-fold covered by C4[ 512, 95 ] = UG(ATD[512,99])

     8-fold covered by C4[ 512, 100 ] = UG(ATD[512,109])

     8-fold covered by C4[ 512, 101 ] = UG(ATD[512,111])

     8-fold covered by C4[ 512, 102 ] = UG(ATD[512,113])

     8-fold covered by C4[ 512, 103 ] = UG(ATD[512,115])

     8-fold covered by C4[ 512, 118 ] = UG(ATD[512,174])

     8-fold covered by C4[ 512, 130 ] = UG(ATD[512,225])

     8-fold covered by C4[ 512, 133 ] = UG(ATD[512,239])

     8-fold covered by C4[ 512, 134 ] = UG(ATD[512,242])

     8-fold covered by C4[ 512, 135 ] = UG(ATD[512,245])

     8-fold covered by C4[ 512, 136 ] = UG(ATD[512,248])

     8-fold covered by C4[ 512, 137 ] = UG(ATD[512,251])

     8-fold covered by C4[ 512, 138 ] = UG(ATD[512,254])

     8-fold covered by C4[ 512, 139 ] = UG(ATD[512,257])

     8-fold covered by C4[ 512, 140 ] = UG(ATD[512,260])

     8-fold covered by C4[ 512, 141 ] = UG(ATD[512,263])

     8-fold covered by C4[ 512, 146 ] = UG(ATD[512,278])

     8-fold covered by C4[ 512, 147 ] = UG(ATD[512,281])

     8-fold covered by C4[ 512, 148 ] = UG(ATD[512,284])

     8-fold covered by C4[ 512, 149 ] = UG(ATD[512,287])

     8-fold covered by C4[ 512, 155 ] = UG(ATD[512,305])

     8-fold covered by C4[ 512, 166 ] = UG(ATD[512,338])

     8-fold covered by C4[ 512, 176 ] = UG(ATD[512,368])

     8-fold covered by C4[ 512, 184 ] = UG(ATD[512,392])

     8-fold covered by C4[ 512, 186 ] = UG(ATD[512,398])

     8-fold covered by C4[ 512, 196 ] = UG(ATD[512,414])

     8-fold covered by C4[ 512, 198 ] = UG(ATD[512,420])

     8-fold covered by C4[ 512, 199 ] = UG(ATD[512,423])

     8-fold covered by C4[ 512, 200 ] = UG(ATD[512,426])

     8-fold covered by C4[ 512, 201 ] = UG(ATD[512,429])

     8-fold covered by C4[ 512, 202 ] = UG(ATD[512,432])

     8-fold covered by C4[ 512, 203 ] = UG(ATD[512,435])

     8-fold covered by C4[ 512, 204 ] = UG(ATD[512,438])

     8-fold covered by C4[ 512, 205 ] = UG(ATD[512,441])

     8-fold covered by C4[ 512, 206 ] = UG(ATD[512,444])

     8-fold covered by C4[ 512, 207 ] = UG(ATD[512,447])

     8-fold covered by C4[ 512, 208 ] = UG(ATD[512,450])

     8-fold covered by C4[ 512, 209 ] = UG(ATD[512,453])

     8-fold covered by C4[ 512, 210 ] = UG(ATD[512,456])

     8-fold covered by C4[ 512, 211 ] = UG(ATD[512,459])

     8-fold covered by C4[ 512, 220 ] = UG(ATD[512,482])

     8-fold covered by C4[ 512, 223 ] = UG(ATD[512,491])

     8-fold covered by C4[ 512, 228 ] = UG(ATD[512,504])

     8-fold covered by C4[ 512, 229 ] = UG(ATD[512,507])

     8-fold covered by C4[ 512, 230 ] = UG(ATD[512,510])

     8-fold covered by C4[ 512, 232 ] = UG(ATD[512,516])

     8-fold covered by C4[ 512, 233 ] = UG(ATD[512,519])

     8-fold covered by C4[ 512, 234 ] = UG(ATD[512,522])

     8-fold covered by C4[ 512, 235 ] = UG(ATD[512,525])

     8-fold covered by C4[ 512, 248 ] = UG(ATD[512,563])

     8-fold covered by C4[ 512, 262 ] = UG(ATD[512,599])

     8-fold covered by C4[ 512, 269 ] = UG(ATD[512,620])

     8-fold covered by C4[ 512, 274 ] = UG(ATD[512,635])

     8-fold covered by C4[ 512, 277 ] = UG(ATD[512,644])

     8-fold covered by C4[ 512, 426 ] = BGCG({4, 4}_ 16, 0; K1;{4, 8, 12, 15})

     8-fold covered by C4[ 512, 427 ] = BGCG({4, 4}_ 16, 0; K1;{5, 7, 11, 19})

     8-fold covered by C4[ 512, 533 ] = SS[512, 66]

     8-fold covered by C4[ 512, 538 ] = SS[512, 71]

     8-fold covered by C4[ 512, 547 ] = SS[512, 80]

     8-fold covered by C4[ 512, 548 ] = SS[512, 81]

BGCG dissections of this graph

     Base Graph: C4[ 8, 1 ] = K_4,4   connection graph:  [C_4]

     Base Graph: C4[ 16, 2 ] = {4, 4}_ 4, 0   connection graph:  [K_2]

     Base Graph: C4[ 32, 2 ] = {4, 4}_ 4, 4   connection graph:  [K_1]

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

      C4[ 128, 22 ] = PL(Curtain_16(1,8,1,6,14),[4^16,4^16])    with connection graph  [K_1]

      C4[ 128, 24 ] = PL(Curtain_16(1,8,6,9,14),[4^16,8^8])    with connection graph  [K_1]

      C4[ 256, 65 ] = UG(ATD[256,109])    with connection graph  [K_2]

      C4[ 256, 69 ] = UG(ATD[256,120])    with connection graph  [K_2]

      C4[ 256, 112 ] = PL(ATD[8,2]#ATD[32,8])    with connection graph  [K_2]

      C4[ 256, 141 ] = BGCG(UG(ATD[128,42]); K1;{9, 10})    with connection graph  [K_2]

      C4[ 256, 149 ] = BGCG(UG(ATD[128,69]); K1;{3, 4})    with connection graph  [K_2]

      C4[ 256, 163 ] = SS[256, 23]    with connection graph  [K_2]

      C4[ 512, 194 ] = UG(ATD[512,410])    with connection graph  [C_4]

      C4[ 512, 200 ] = UG(ATD[512,426])    with connection graph  [C_4]

      C4[ 512, 264 ] = UG(ATD[512,605])    with connection graph  [C_4]

      C4[ 512, 265 ] = UG(ATD[512,608])    with connection graph  [C_4]

      C4[ 512, 266 ] = UG(ATD[512,611])    with connection graph  [C_4]

      C4[ 512, 267 ] = UG(ATD[512,614])    with connection graph  [C_4]

      C4[ 512, 285 ] = UG(ATD[512,668])    with connection graph  [C_4]

      C4[ 512, 288 ] = UG(ATD[512,677])    with connection graph  [C_4]

      C4[ 512, 330 ] = PL(ATD[8,2]#ATD[64,15])    with connection graph  [C_4]

      C4[ 512, 425 ] = BGCG(UG(ATD[128,69]); K2;{3, 4})    with connection graph  [C_4]

      C4[ 512, 448 ] = BGCG(UG(ATD[256,123]); K1;{17, 18})    with connection graph  [C_4]

      C4[ 512, 453 ] = BGCG(UG(ATD[256,128]); K1;{18, 25})    with connection graph  [C_4]

      C4[ 512, 487 ] = BGCG(UG(ATD[256,182]); K1;3)    with connection graph  [C_4]

      C4[ 512, 488 ] = BGCG(UG(ATD[256,188]); K1;1)    with connection graph  [C_4]

      C4[ 512, 536 ] = SS[512, 69]    with connection graph  [C_4]

      C4[ 512, 539 ] = SS[512, 72]    with connection graph  [C_4]

      C4[ 512, 541 ] = SS[512, 74]    with connection graph  [C_4]

      C4[ 512, 543 ] = SS[512, 76]    with connection graph  [C_4]

      C4[ 512, 545 ] = SS[512, 78]    with connection graph  [C_4]

      C4[ 512, 547 ] = SS[512, 80]    with connection graph  [C_4]

      C4[ 512, 548 ] = SS[512, 81]    with connection graph  [C_4]

      C4[ 512, 591 ] = SS[512, 128]    with connection graph  [C_4]

      C4[ 512, 592 ] = SS[512, 129]    with connection graph  [C_4]

      C4[ 512, 597 ] = SS[512, 134]    with connection graph  [C_4]

      C4[ 512, 598 ] = SS[512, 135]    with connection graph  [C_4]

      C4[ 512, 663 ] = SS[512, 217]    with connection graph  [C_4]

Aut-Orbital graphs of this one:

      C4[ 8, 1 ] = K_4,4

      C4[ 16, 2 ] = {4, 4}_ 4, 0

      C4[ 64, 6 ] = MPS( 8, 16; 3)