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On this page are all graphs related to C4[ 72, 6 ].

Graphs which this one covers

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

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

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

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

     3-fold cover of C4[ 24, 1 ] = W( 12, 2)

     3-fold cover of C4[ 24, 2 ] = C_ 24(1, 5)

     2-fold cover of C4[ 36, 2 ] = DW( 12, 3)

Graphs which cover this one

     2-fold covered by C4[ 144, 6 ] = {4, 4}_[ 12, 6]

     2-fold covered by C4[ 144, 50 ] = SDD(DW( 12, 3))

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

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

     3-fold covered by C4[ 216, 13 ] = MPS( 12, 36; 5)

     3-fold covered by C4[ 216, 17 ] = PS( 6, 72; 11)

     3-fold covered by C4[ 216, 64 ] = UG(ATD[216,117])

     3-fold covered by C4[ 216, 91 ] = BGCG(AMC( 12, 3, [ 0. 1: 2. 2]); K1;{1, 7})

     4-fold covered by C4[ 288, 6 ] = {4, 4}_< 18, 6>

     4-fold covered by C4[ 288, 9 ] = {4, 4}_[ 24, 6]

     4-fold covered by C4[ 288, 15 ] = PS( 24, 24; 5)

     4-fold covered by C4[ 288, 16 ] = MPS( 24, 24; 5)

     4-fold covered by C4[ 288, 20 ] = MPS( 12, 48; 11)

     4-fold covered by C4[ 288, 31 ] = PL(MSY( 6, 24, 11, 0))

     4-fold covered by C4[ 288, 32 ] = PL(MSY( 6, 24, 11, 12))

     4-fold covered by C4[ 288, 37 ] = PL(MSY( 12, 12, 5, 0))

     4-fold covered by C4[ 288, 41 ] = PL(MSZ ( 12, 12, 3, 5), [4^36, 12^12])

     4-fold covered by C4[ 288, 43 ] = PL(MC3( 6, 24, 1, 13, 5, 6, 1), [4^36, 24^6])

     4-fold covered by C4[ 288, 47 ] = PL(MC3( 6, 24, 1, 13, 11, 0, 1), [4^36, 6^24])

     4-fold covered by C4[ 288, 48 ] = PL(MC3( 6, 24, 1, 13, 11, 12, 1), [4^36, 12^12])

     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, 110 ] = UG(ATD[288,181])

     4-fold covered by C4[ 288, 147 ] = PL(ATD[12,2]#ATD[12,3])

     4-fold covered by C4[ 288, 152 ] = PL(ATD[36,7]#DCyc[4])

     4-fold covered by C4[ 288, 163 ] = SDD(DW( 24, 3))

     4-fold covered by C4[ 288, 176 ] = PL(CS(DW( 12, 3)[ 12^ 6], 1))

     4-fold covered by C4[ 288, 191 ] = BGCG(MPS( 4, 24; 5), C_ 3, 3)

     4-fold covered by C4[ 288, 210 ] = SDD({4, 4}_< 9, 3>)

     4-fold covered by C4[ 288, 246 ] = BGCG(UG(ATD[144,33]); K1;3)

     5-fold covered by C4[ 360, 12 ] = {4, 4}_< 21, 9>

     5-fold covered by C4[ 360, 14 ] = {4, 4}_< 33, 27>

     5-fold covered by C4[ 360, 26 ] = MPS( 12, 60; 7)

     5-fold covered by C4[ 360, 27 ] = MPS( 12, 60; 11)

     5-fold covered by C4[ 360, 39 ] = PL(MSY( 6, 30, 11, 15))

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

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

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

     6-fold covered by C4[ 432, 21 ] = PS( 12, 72; 11)

     6-fold covered by C4[ 432, 139 ] = UG(ATD[432,262])

     6-fold covered by C4[ 432, 161 ] = PL(ATD[9,1]#DCyc[12])

     6-fold covered by C4[ 432, 171 ] = PL(ATD[36,7]#DCyc[3])

     6-fold covered by C4[ 432, 184 ] = SDD(AMC( 12, 3, [ 0. 1: 2. 2]))

     6-fold covered by C4[ 432, 186 ] = SDD(DW( 36, 3))

     6-fold covered by C4[ 432, 192 ] = SDD({4, 4}_[ 9, 6])

     6-fold covered by C4[ 432, 235 ] = BGCG(AMC( 12, 3, [ 0. 1: 2. 2]); K2;{1, 2, 4, 7})

     7-fold covered by C4[ 504, 11 ] = {4, 4}_< 27, 15>

     7-fold covered by C4[ 504, 13 ] = {4, 4}_< 45, 39>

     7-fold covered by C4[ 504, 31 ] = MPS( 12, 84; 5)

     7-fold covered by C4[ 504, 32 ] = MPS( 12, 84; 11)

     7-fold covered by C4[ 504, 33 ] = MPS( 12, 84; 13)

     7-fold covered by C4[ 504, 36 ] = PS( 6,168; 11)

     7-fold covered by C4[ 504, 42 ] = PS( 6,168; 37)

     7-fold covered by C4[ 504, 50 ] = PL(MSY( 6, 42, 13, 21))

BGCG dissections of this graph

     Base Graph: C4[ 36, 2 ] = DW( 12, 3)   connection graph:  [K_1]

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

      C4[ 288, 6 ] = {4, 4}_< 18, 6>    with connection graph  [K_2]

      C4[ 288, 20 ] = MPS( 12, 48; 11)    with connection graph  [K_2]

      C4[ 288, 31 ] = PL(MSY( 6, 24, 11, 0))    with connection graph  [K_2]

      C4[ 288, 32 ] = PL(MSY( 6, 24, 11, 12))    with connection graph  [K_2]

      C4[ 288, 43 ] = PL(MC3( 6, 24, 1, 13, 5, 6, 1), [4^36, 24^6])    with connection graph  [K_2]

      C4[ 288, 44 ] = PL(MC3( 6, 24, 1, 7, 5, 12, 1), [8^18, 12^12])    with connection graph  [K_2]

      C4[ 288, 49 ] = PL(MC3( 6, 24, 1, 17, 11, 12, 1), [6^24, 12^12])    with connection graph  [K_2]

      C4[ 288, 50 ] = PL(MC3( 6, 24, 1, 19, 11, 12, 1), [8^18, 12^12])    with connection graph  [K_2]

      C4[ 288, 83 ] = UG(ATD[288,55])    with connection graph  [K_2]

      C4[ 288, 87 ] = UG(ATD[288,69])    with connection graph  [K_2]

      C4[ 288, 176 ] = PL(CS(DW( 12, 3)[ 12^ 6], 1))    with connection graph  [K_2]

Aut-Orbital graphs of this one:

      C4[ 8, 1 ] = K_4,4

      C4[ 9, 1 ] = DW( 3, 3)

      C4[ 12, 1 ] = W( 6, 2)

      C4[ 18, 2 ] = DW( 6, 3)

      C4[ 24, 1 ] = W( 12, 2)

      C4[ 24, 2 ] = C_ 24(1, 5)

      C4[ 36, 2 ] = DW( 12, 3)

      C4[ 72, 6 ] = {4, 4}_< 9, 3>