Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 9. #14583302 | C4 | semidirect |
| 10. #14583278 | C4 | semidirect |
| 11. #14583251 | C4 | semidirect |
| 12. #14583249 | C4 | semidirect |
| 210. C43 | #9720 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145177 | 2 |
| #19135540 | 2 |
| #19135538 | 2 |
| C4×#13063256 | 2 |
| #19133095 | 2 |
| #19132885 | 2 |
| C43×#1503 | 2 |
| #9720 | 43 |