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On this page are all graphs related to C4[ 72, 4 ].

Graphs which this one covers

     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, 3 ] = C_ 24(1, 7)

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

Graphs which cover this one

     2-fold covered by C4[ 144, 4 ] = DW( 48, 3)

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

     2-fold covered by C4[ 144, 7 ] = {4, 4}_< 15, 9>

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

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

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

     3-fold covered by C4[ 216, 9 ] = PS( 24, 9; 2)

     3-fold covered by C4[ 216, 14 ] = PS( 3, 72; 23)

     3-fold covered by C4[ 216, 28 ] = AMC( 24, 3, [ 0. 1: 2. 2])

     3-fold covered by C4[ 216, 92 ] = BGCG(AMC( 12, 3, [ 0. 1: 2. 2]); K1;{2, 4})

     4-fold covered by C4[ 288, 4 ] = DW( 96, 3)

     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, 10 ] = {4, 4}_< 27, 21>

     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, 95 ] = UG(ATD[288,97])

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

     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, 169 ] = PL(CSI(Octahedron[ 3^ 4], 12))

     4-fold covered by C4[ 288, 170 ] = PL(CSI(W( 12, 2)[ 12^ 4], 3))

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

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

     5-fold covered by C4[ 360, 8 ] = DW(120, 3)

     5-fold covered by C4[ 360, 9 ] = {4, 4}_[ 15, 12]

     5-fold covered by C4[ 360, 20 ] = PS( 24, 15; 2)

     5-fold covered by C4[ 360, 21 ] = PS( 24, 15; 4)

     5-fold covered by C4[ 360, 40 ] = PL(MSY( 12, 15, 11, 0))

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

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

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

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

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

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

     6-fold covered by C4[ 432, 13 ] = PS( 48, 9; 2)

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

     6-fold covered by C4[ 432, 17 ] = MPS( 24, 36; 5)

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

     6-fold covered by C4[ 432, 25 ] = PS( 3,144; 47)

     6-fold covered by C4[ 432, 27 ] = PS( 6,144; 23)

     6-fold covered by C4[ 432, 48 ] = AMC( 48, 3, [ 0. 1: 2. 2])

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

     6-fold covered by C4[ 432, 140 ] = UG(ATD[432,277])

     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})

     6-fold covered by C4[ 432, 247 ] = BGCG(AMC( 24, 3, [ 0. 1: 2. 2]); K1;{2, 3})

     6-fold covered by C4[ 432, 248 ] = BGCG(AMC( 24, 3, [ 0. 1: 2. 2]); K1;{5, 6})

     7-fold covered by C4[ 504, 8 ] = DW(168, 3)

     7-fold covered by C4[ 504, 10 ] = {4, 4}_[ 21, 12]

     7-fold covered by C4[ 504, 19 ] = PS( 24, 21; 2)

     7-fold covered by C4[ 504, 20 ] = PS( 24, 21; 4)

     7-fold covered by C4[ 504, 21 ] = PS( 24, 21; 8)

     7-fold covered by C4[ 504, 34 ] = PS( 3,168; 25)

     7-fold covered by C4[ 504, 51 ] = PL(MSY( 12, 21, 13, 0))

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[ 144, 4 ] = DW( 48, 3)    with connection graph  [K_1]

      C4[ 144, 7 ] = {4, 4}_< 15, 9>    with connection graph  [K_1]

      C4[ 288, 9 ] = {4, 4}_[ 24, 6]    with connection graph  [K_2]

      C4[ 288, 16 ] = MPS( 24, 24; 5)    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, 42 ] = PL(MC3( 6, 24, 1, 19, 5, 0, 1), [6^24, 8^18])    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, 49 ] = PL(MC3( 6, 24, 1, 17, 11, 12, 1), [6^24, 12^12])    with connection graph  [K_2]

      C4[ 288, 51 ] = PL(MC3( 6, 24, 1, 7, 17, 0, 1), [6^24, 8^18])    with connection graph  [K_2]

      C4[ 288, 77 ] = UG(ATD[288,36])    with connection graph  [K_2]

      C4[ 288, 82 ] = UG(ATD[288,52])    with connection graph  [K_2]

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

      C4[ 432, 46 ] = CPM( 3, 2, 24, 1)    with connection graph  [C_3]

      C4[ 432, 48 ] = AMC( 48, 3, [ 0. 1: 2. 2])    with connection graph  [C_3]

      C4[ 432, 94 ] = UG(ATD[432,119])    with connection graph  [C_3]

      C4[ 432, 121 ] = UG(ATD[432,191])    with connection graph  [C_3]

      C4[ 432, 122 ] = UG(ATD[432,194])    with connection graph  [C_3]

      C4[ 432, 130 ] = UG(ATD[432,214])    with connection graph  [C_3]

      C4[ 432, 131 ] = UG(ATD[432,217])    with connection graph  [C_3]

      C4[ 432, 140 ] = UG(ATD[432,277])    with connection graph  [C_3]

      C4[ 432, 197 ] = PL(CSI(DW( 3, 3)[ 3^ 6], 24))    with connection graph  [C_3]

      C4[ 432, 224 ] = BGCG(DW( 24, 3), C_ 3, 2)    with connection graph  [C_3]

      C4[ 432, 247 ] = BGCG(AMC( 24, 3, [ 0. 1: 2. 2]); K1;{2, 3})    with connection graph  [C_3]

      C4[ 432, 248 ] = BGCG(AMC( 24, 3, [ 0. 1: 2. 2]); K1;{5, 6})    with connection graph  [C_3]

Aut-Orbital graphs of this one:

      C4[ 9, 1 ] = DW( 3, 3)

      C4[ 12, 1 ] = W( 6, 2)

      C4[ 18, 2 ] = DW( 6, 3)

      C4[ 24, 3 ] = C_ 24(1, 7)

      C4[ 36, 2 ] = DW( 12, 3)

      C4[ 72, 4 ] = DW( 24, 3)