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On this page are all graphs related to C4[ 64, 4 ].

Graphs which this one covers

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

     4-fold cover of C4[ 16, 1 ] = W( 8, 2)

     2-fold cover of C4[ 32, 1 ] = W( 16, 2)

Graphs which cover this one

     2-fold covered by C4[ 128, 4 ] = {4, 4}_[ 16, 4]

     2-fold covered by C4[ 128, 9 ] = PS( 8, 32; 7)

     2-fold covered by C4[ 128, 14 ] = PL(MSY( 4, 16, 7, 0))

     3-fold covered by C4[ 192, 5 ] = {4, 4}_< 14, 2>

     3-fold covered by C4[ 192, 9 ] = {4, 4}_< 26, 22>

     3-fold covered by C4[ 192, 13 ] = MPS( 16, 24; 5)

     3-fold covered by C4[ 192, 31 ] = PL(MSY( 6, 16, 7, 8))

     3-fold covered by C4[ 192, 70 ] = PL(MBr( 2, 48; 7))

     4-fold covered by C4[ 256, 3 ] = {4, 4}_[ 16, 8]

     4-fold covered by C4[ 256, 4 ] = {4, 4}_< 20, 12>

     4-fold covered by C4[ 256, 5 ] = {4, 4}_[ 32, 4]

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

     4-fold covered by C4[ 256, 8 ] = MPS( 32, 16; 3)

     4-fold covered by C4[ 256, 10 ] = PS( 16, 32; 7)

     4-fold covered by C4[ 256, 13 ] = PS( 8, 64; 7)

     4-fold covered by C4[ 256, 14 ] = PS( 8, 64; 15)

     4-fold covered by C4[ 256, 15 ] = MPS( 8, 64; 7)

     4-fold covered by C4[ 256, 20 ] = PL(MSY( 4, 32, 15, 0))

     4-fold covered by C4[ 256, 21 ] = PL(MSY( 4, 32, 15, 16))

     4-fold covered by C4[ 256, 22 ] = PL(MSY( 8, 16, 7, 0))

     4-fold covered by C4[ 256, 24 ] = PL(MSY( 16, 8, 3, 0))

     4-fold covered by C4[ 256, 26 ] = PL(MSZ ( 8, 16, 2, 7), [8^16, 16^8])

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

     5-fold covered by C4[ 320, 6 ] = {4, 4}_< 18, 2>

     5-fold covered by C4[ 320, 10 ] = {4, 4}_< 42, 38>

     5-fold covered by C4[ 320, 16 ] = PS( 20, 32; 7)

     5-fold covered by C4[ 320, 20 ] = MPS( 16, 40; 3)

     5-fold covered by C4[ 320, 29 ] = PS( 4,160; 7)

     5-fold covered by C4[ 320, 32 ] = MPS( 4,160; 17)

     5-fold covered by C4[ 320, 44 ] = PL(MSY( 8, 20, 11, 10))

     5-fold covered by C4[ 320, 78 ] = PL(MBr( 2, 80; 9))

     6-fold covered by C4[ 384, 4 ] = {4, 4}_[ 16, 12]

     6-fold covered by C4[ 384, 10 ] = {4, 4}_[ 48, 4]

     6-fold covered by C4[ 384, 14 ] = PS( 32, 24; 5)

     6-fold covered by C4[ 384, 17 ] = PS( 24, 32; 7)

     6-fold covered by C4[ 384, 27 ] = PS( 8, 96; 7)

     6-fold covered by C4[ 384, 29 ] = PS( 8, 96; 23)

     6-fold covered by C4[ 384, 37 ] = PL(MSY( 4, 48, 23, 0))

     6-fold covered by C4[ 384, 39 ] = PL(MSY( 4, 48, 17, 0))

     6-fold covered by C4[ 384, 41 ] = PL(MSY( 4, 48, 7, 0))

     6-fold covered by C4[ 384, 51 ] = PL(MSY( 12, 16, 7, 0))

     6-fold covered by C4[ 384, 52 ] = PL(MSY( 16, 12, 5, 0))

     6-fold covered by C4[ 384, 65 ] = PL(LoPr_ 48( 3, 8, 6, 8, 3), [12^16, 16^12])

     6-fold covered by C4[ 384, 73 ] = PL(KE_48(3,11,6,43,3),[12^16,16^12])

     6-fold covered by C4[ 384, 207 ] = UG(ATD[384,318])

     7-fold covered by C4[ 448, 5 ] = {4, 4}_< 22, 6>

     7-fold covered by C4[ 448, 9 ] = {4, 4}_< 58, 54>

     7-fold covered by C4[ 448, 12 ] = PS( 28, 32; 7)

     7-fold covered by C4[ 448, 31 ] = PL(MSY( 8, 28, 13, 14))

     7-fold covered by C4[ 448, 57 ] = PL(MBr( 2, 112; 15))

     8-fold covered by C4[ 512, 3 ] = {4, 4}_< 24, 8>

     8-fold covered by C4[ 512, 4 ] = {4, 4}_[ 32, 8]

     8-fold covered by C4[ 512, 5 ] = {4, 4}_< 36, 28>

     8-fold covered by C4[ 512, 6 ] = {4, 4}_[ 64, 4]

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

     8-fold covered by C4[ 512, 9 ] = MPS( 64, 16; 3)

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

     8-fold covered by C4[ 512, 11 ] = PS( 32, 32; 7)

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

     8-fold covered by C4[ 512, 13 ] = MPS( 32, 32; 7)

     8-fold covered by C4[ 512, 16 ] = PS( 16, 64; 7)

     8-fold covered by C4[ 512, 17 ] = PS( 16, 64; 15)

     8-fold covered by C4[ 512, 20 ] = MPS( 16, 64; 7)

     8-fold covered by C4[ 512, 21 ] = PS( 8,128; 15)

     8-fold covered by C4[ 512, 22 ] = PS( 8,128; 31)

     8-fold covered by C4[ 512, 23 ] = MPS( 8,128; 15)

     8-fold covered by C4[ 512, 29 ] = PL(MSY( 4, 64, 33, 0))

     8-fold covered by C4[ 512, 30 ] = PL(MSY( 4, 64, 33, 32))

     8-fold covered by C4[ 512, 31 ] = PL(MSY( 8, 32, 15, 0))

     8-fold covered by C4[ 512, 32 ] = PL(MSY( 8, 32, 15, 16))

     8-fold covered by C4[ 512, 33 ] = PL(MSY( 16, 16, 7, 0))

     8-fold covered by C4[ 512, 34 ] = PL(MSY( 32, 8, 3, 0))

     8-fold covered by C4[ 512, 38 ] = PL(MSZ ( 8, 32, 2, 15), [8^32, 32^8])

     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, 95 ] = UG(ATD[512,99])

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

     8-fold covered by C4[ 512, 119 ] = UG(ATD[512,186])

     8-fold covered by C4[ 512, 123 ] = UG(ATD[512,204])

     8-fold covered by C4[ 512, 124 ] = UG(ATD[512,207])

     8-fold covered by C4[ 512, 165 ] = UG(ATD[512,335])

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

     8-fold covered by C4[ 512, 168 ] = UG(ATD[512,344])

     8-fold covered by C4[ 512, 169 ] = UG(ATD[512,347])

     8-fold covered by C4[ 512, 310 ] = PL(ATD[8,1]#ATD[32,6])

     8-fold covered by C4[ 512, 345 ] = PL(ATD[16,2]#ATD[16,3])

BGCG dissections of this graph

     Base Graph: C4[ 16, 1 ] = W( 8, 2)   connection graph:  [K_2]

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

      C4[ 128, 27 ] = PL(BC_32({ 0, 16 }, { 1, 7 })    with connection graph  [K_1]

      C4[ 256, 4 ] = {4, 4}_< 20, 12>    with connection graph  [K_2]

      C4[ 256, 8 ] = MPS( 32, 16; 3)    with connection graph  [K_2]

      C4[ 256, 21 ] = PL(MSY( 4, 32, 15, 16))    with connection graph  [K_2]

      C4[ 256, 28 ] = PL(LoPr_ 32( 1, 16, 2, 16, 1), [4^32, 32^4])    with connection graph  [K_2]

      C4[ 512, 55 ] = PL(SoP( 4, 32))    with connection graph  [C_4]

      C4[ 512, 119 ] = UG(ATD[512,186])    with connection graph  [C_4]

      C4[ 512, 120 ] = UG(ATD[512,195])    with connection graph  [C_4]

      C4[ 512, 124 ] = UG(ATD[512,207])    with connection graph  [C_4]

      C4[ 512, 126 ] = UG(ATD[512,213])    with connection graph  [C_4]

      C4[ 512, 129 ] = UG(ATD[512,222])    with connection graph  [C_4]

      C4[ 512, 131 ] = UG(ATD[512,228])    with connection graph  [C_4]

      C4[ 512, 168 ] = UG(ATD[512,344])    with connection graph  [C_4]

      C4[ 512, 169 ] = UG(ATD[512,347])    with connection graph  [C_4]

      C4[ 512, 320 ] = PL(ATD[8,2]#ATD[64,4])    with connection graph  [C_4]

      C4[ 512, 322 ] = PL(ATD[8,2]#ATD[64,6])    with connection graph  [C_4]

      C4[ 512, 410 ] = BGCG(KE_32(1,15,2,19,1); K2;{1, 3, 5, 6, 9, 10})    with connection graph  [C_4]

Aut-Orbital graphs of this one:

      C4[ 8, 1 ] = K_4,4

      C4[ 16, 1 ] = W( 8, 2)

      C4[ 64, 4 ] = {4, 4}_< 10, 6>