Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
396 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13093137 | C2 | semidirect |
| 3. #13092764 | C2 | semidirect |
| 4. #13092742 | C2 | semidirect |
| 5. #13092703 | C2 | semidirect |
| 6. #13092646 | C2 | semidirect |
| 7. #13092618 | C2 | semidirect |
| 8. #13092581 | C2 | semidirect |
| 9. C4×Dic92 | C2 | semidirect |
| 10. #13092414 | C2 | semidirect |
| 11. C8×D4×C23 | C2 | semidirect |
| 132. C8×D4 | D23 | semidirect |
| 168. C23 | #3304 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093137 | 2 |
| #13093088 | 2 |
| #13092764 | 2 |
| #13092742 | 2 |
| #13092703 | 2 |
| #13092646 | 2 |
| #13092618 | 2 |
| #13092581 | 2 |
| C4×Dic92 | 2 |
| #13092414 | 2 |
| C8×D4×C23 | 2 |
| #3304 | 23 |