C4graphConstructions for C4[ 486, 3 ] = {4,4}_[27,9]

[Home] [Table] [Glossary] [Families]

On this page are all constructions for C4[ 486, 3 ]. See Glossary for some detail.

{4, 4}_[ 27, 9] = PS( 54, 9; 1) = PS( 27, 18; 1)

      = PS( 54, 18; 1) = PS( 18, 27; 1) = PS( 9, 54; 1)

      = PS( 18, 54; 1) = UG(ATD[486, 80]) = UG(ATD[486, 81])

      = UG(ATD[486, 82]) = MG(Rmap(486,134) { 18, 54| 2}_ 54) = DG(Rmap(486,134) { 18, 54| 2}_ 54)

      = MG(Rmap(486,135) { 18, 54| 18}_ 54) = DG(Rmap(486,135) { 18, 54| 18}_ 54) = DG(Rmap(486,136) { 54, 18| 18}_ 54)

      = DG(Rmap(486,137) { 54, 18| 2}_ 54) = DG(Rmap(243, 51) { 18, 27| 18}_ 54) = XI(Rmap(243, 52) { 27, 18| 18}_ 54)

      = XI(Rmap(243, 95) { 18, 54| 2}_ 27) = B({4, 4}_< 18, 9>) = BGCG({4, 4}_< 18, 9>; K1;1)

      = AT[486, 26]

Cyclic coverings

mod 54:
123456789
1 - 0 46 - - - - - - 0 8
2 0 8 - 0 46 - - - - - -
3 - 0 8 - 0 46 - - - - -
4 - - 0 8 - 0 46 - - - -
5 - - - 0 8 - 0 46 - - -
6 - - - - 0 8 - 0 46 - -
7 - - - - - 0 8 - 0 46 -
8 - - - - - - 0 8 - 1 9
9 0 46 - - - - - - 45 53 -

mod 54:
123456789
1 1 53 0 - - - - - - 0
2 0 1 53 0 - - - - - -
3 - 0 1 53 0 - - - - -
4 - - 0 1 53 0 - - - -
5 - - - 0 1 53 0 - - -
6 - - - - 0 1 53 0 - -
7 - - - - - 0 1 53 0 -
8 - - - - - - 0 1 53 9
9 0 - - - - - - 45 1 53

mod 54:
123456789
1 - 0 - 0 - - 0 - 0
2 0 - 0 - 0 - - 0 -
3 - 0 - 4 - 0 - - 4
4 0 - 50 - 0 - 51 - -
5 - 0 - 0 - 0 - 51 -
6 - - 0 - 0 - 1 - 1
7 0 - - 3 - 53 - 0 -
8 - 0 - - 3 - 0 - 4
9 0 - 50 - - 53 - 50 -

mod 54:
123456789
1 - 0 0 - - - - 0 0
2 0 - 1 0 - - - - 1
3 0 53 - 0 53 - - - -
4 - 0 0 - 0 53 - - -
5 - - 1 0 - 0 53 - -
6 - - - 1 0 - 0 6 -
7 - - - - 1 0 - 7 7
8 0 - - - - 48 47 - 1
9 0 53 - - - - 47 53 -

mod 54:
123456789
1 1 53 0 2 - - - - - - -
2 0 52 - 0 2 - - - - - -
3 - 0 52 - 0 2 - - - - -
4 - - 0 52 - 0 2 - - - -
5 - - - 0 52 - 0 2 - - -
6 - - - - 0 52 - 0 2 - -
7 - - - - - 0 52 - 0 2 -
8 - - - - - - 0 52 - 0 2
9 - - - - - - - 0 52 1 53

mod 54:
123456789
1 - 0 - 0 - - 0 - 0
2 0 - 0 - 0 - - 0 -
3 - 0 - 22 - 0 - - 22
4 0 - 32 - 0 - 33 - -
5 - 0 - 0 - 0 - 33 -
6 - - 0 - 0 - 1 - 1
7 0 - - 21 - 53 - 0 -
8 - 0 - - 21 - 0 - 22
9 0 - 32 - - 53 - 32 -