C4graphConstructions for C4[ 42, 3 ] = PS(6,7;2)

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

On this page are all constructions for C4[ 42, 3 ]. See Glossary for some detail.

PS( 6, 7; 2) = PS( 6, 7; 3) = PS( 3, 14; 3)

      = PS( 3, 14; 5) = PS( 6, 14; 3) = PS( 6, 14; 5)

      = UG(ATD[ 42, 1]) = UG(ATD[ 42, 2]) = UG(ATD[ 42, 3])

      = DG(F 14) = MG(Cmap( 42, 1) { 6, 6| 6}_ 14) = MG(Cmap( 42, 2) { 6, 6| 6}_ 14)

      = MG(Cmap( 42, 3) { 6, 6| 6}_ 14) = MG(Cmap( 42, 4) { 6, 6| 6}_ 14) = DG(Cmap( 21, 3) { 6, 3| 6}_ 14)

      = DG(Cmap( 21, 4) { 6, 3| 6}_ 14) = B(PS( 3, 7; 2)) = BGCG(PS( 3, 7; 2); K1;1)

      = AT[ 42, 1]

Cyclic coverings

mod 14:
123
1 - 0 6 0 12
2 0 8 - 1 5
3 0 2 9 13 -

mod 6:
1234567
1 - 0 - - 0 0 0
2 0 - 1 - - - 1 3
3 - 5 - 1 - 1 3
4 - - 5 1 5 - 3 -
5 0 - - - 1 5 3 -
6 0 - 5 3 3 - -
7 0 3 5 3 - - - -

mod 6:
1234567
1 - 0 - 0 0 - 0
2 0 - - - 3 - 1 5
3 - - 1 5 0 4 - -
4 0 - 0 - - 1 3
5 0 3 2 - - 5 -
6 - - - 5 1 1 5 -
7 0 1 5 - 3 - - -