C4graphConstructions for C4[ 144, 6 ] = {4,4}_[12,6]

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On this page are all constructions for C4[ 144, 6 ]. See Glossary for some detail.

{4, 4}_[ 12, 6] = PS( 24, 12; 1) = PS( 24, 12; 5)

      = PS( 12, 24; 1) = PS( 12, 24; 11) = PL(MC3( 6, 12, 1, 5, 5, 6, 1), [6^12, 12^6])

      = UG(ATD[144, 48]) = UG(ATD[144, 49]) = UG(ATD[144, 50])

      = MG(Rmap(144,119) { 12, 24| 6}_ 24) = DG(Rmap(144,119) { 12, 24| 6}_ 24) = MG(Rmap(144,121) { 12, 24| 2}_ 24)

      = DG(Rmap(144,121) { 12, 24| 2}_ 24) = DG(Rmap(144,129) { 24, 12| 2}_ 24) = DG(Rmap(144,132) { 24, 12| 6}_ 24)

      = BGCG(DW( 12, 3); K2;{2, 3}) = AT[144, 32]

Cyclic coverings

mod 24:
123456
1 - 0 0 0 14 - -
2 0 - 9 - 0 14 -
3 0 15 - - - 1 15
4 0 10 - - - 0 1
5 - 0 10 - 0 - 10
6 - - 9 23 23 14 -

mod 24:
123456
1 1 23 0 2 - - - -
2 0 22 - 0 2 - - -
3 - 0 22 - 0 2 - -
4 - - 0 22 - 0 2 -
5 - - - 0 22 - 0 2
6 - - - - 0 22 1 23

mod 24:
123456
1 - 0 0 - 0 0
2 0 - 1 0 - 1
3 0 23 - 0 15 -
4 - 0 0 - 16 16
5 0 - 9 8 - 1
6 0 23 - 8 23 -

mod 24:
123456
1 1 23 0 - - - 0
2 0 1 23 0 - - -
3 - 0 1 23 0 - -
4 - - 0 1 23 0 -
5 - - - 0 1 23 18
6 0 - - - 6 1 23

mod 24:
123456
1 - 0 0 - 0 0
2 0 - 1 0 - 1
3 0 23 - 0 3 -
4 - 0 0 - 4 4
5 0 - 21 20 - 1
6 0 23 - 20 23 -