Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
354 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 155 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 11. #14582621 | C4 | semidirect |
| 12. C8×C43⋊C8 | C4 | semidirect |
| 22. #13063236 | C8 | semidirect |
| 94. C43 | #8138 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134282 | 2 |
| #19132879 | 2 |
| #19132425 | 2 |
| #19132424 | 2 |
| C43×#1274 | 2 |
| #8138 | 43 |