C4graphConstructions for C4[ 54, 2 ] = DW(18,3)

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On this page are all constructions for C4[ 54, 2 ]. See Glossary for some detail.

DW( 18, 3) = {4, 4}_[ 9, 3] = PS( 18, 3; 1)

      = PS( 9, 6; 1) = PS( 18, 6; 1) = PS( 6, 9; 1)

      = PS( 3, 18; 1) = PS( 6, 18; 1) = Pr_ 18( 1, 2, 2, 1)

      = AMC( 2, 9, [ 1. 6: 6. 4]) = UG(ATD[ 54, 7]) = UG(ATD[ 54, 8])

      = UG(ATD[ 54, 9]) = MG(Rmap( 54, 9) { 6, 18| 2}_ 18) = DG(Rmap( 54, 9) { 6, 18| 2}_ 18)

      = MG(Rmap( 54, 10) { 6, 18| 6}_ 18) = DG(Rmap( 54, 10) { 6, 18| 6}_ 18) = DG(Rmap( 54, 11) { 18, 6| 6}_ 18)

      = DG(Rmap( 54, 12) { 18, 6| 2}_ 18) = DG(Rmap( 27, 5) { 6, 9| 6}_ 18) = XI(Rmap( 27, 14) { 6, 18| 2}_ 9)

      = B(DW( 9, 3)) = BGCG(DW( 9, 3); K1;1) = AT[ 54, 5]

     

Cyclic coverings

mod 18:
123
1 - 0 16 0 16
2 0 2 - 1 17
3 0 2 1 17 -

mod 18:
123
1 1 17 0 0
2 0 1 17 3
3 0 15 1 17

mod 18:
123
1 1 17 - 0 16
2 - 1 17 15 17
3 0 2 1 3 -