Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14583278 | C4 | semidirect |
| 10. #14583249 | C4 | semidirect |
| 79. C2×C8×C43 | Q16 | semidirect |
| 182. C43 | #9290 | semidirect |
| 241. C2×C8 | #10621885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145543 | 2 |
| #19143535 | 2 |
| #19133280 | 2 |
| #19133158 | 2 |
| #19132453 | 2 |
| #19132426 | 2 |
| C43×#1993 | 2 |
| #9290 | 43 |