Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
378 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. #13079152 | C2 | semidirect |
| 4. #13066724 | C2 | semidirect |
| 5. #13066712 | C2 | semidirect |
| 6. #13066704 | C2 | semidirect |
| 31. C2×C11×D8 | Q8 | semidirect |
| 183. C2×D8 | Dic22 | semidirect |
| 262. C11 | #13369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079152 | 2 |
| #13070332 | 2 |
| #13069527 | 2 |
| #13066724 | 2 |
| #13066712 | 2 |
| #13066704 | 2 |
| C2×C11×#357 | 2 |
| #13369 | 11 |