Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13093140 | C2 | semidirect |
| 3. #13092764 | C2 | semidirect |
| 4. #13092744 | C2 | semidirect |
| 5. #13092702 | C2 | semidirect |
| 6. #13092649 | C2 | semidirect |
| 7. #13092617 | C2 | semidirect |
| 8. #13092578 | C2 | semidirect |
| 9. C8×D92 | C2 | semidirect |
| 10. #13092412 | C2 | semidirect |
| 11. C4×Q16×C23 | C2 | semidirect |
| 131. C4×Q16 | 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 |
|---|---|
| #13093140 | 2 |
| #13093089 | 2 |
| #13092764 | 2 |
| #13092744 | 2 |
| #13092702 | 2 |
| #13092649 | 2 |
| #13092617 | 2 |
| #13092578 | 2 |
| C8×D92 | 2 |
| #13092412 | 2 |
| C4×Q16×C23 | 2 |
| #3304 | 23 |