Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13092763 | C2 | semidirect |
| 4. #13092740 | C2 | semidirect |
| 5. #13092703 | C2 | semidirect |
| 6. #13092643 | C2 | semidirect |
| 7. #13092576 | C2 | semidirect |
| 8. C4×#67275 | C2 | semidirect |
| 9. #13092482 | C2 | semidirect |
| 10. #13092410 | C2 | semidirect |
| 11. C23×#460 | C2 | semidirect |
| 129. #460 | 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 |
| #13093087 | 2 |
| #13092763 | 2 |
| #13092740 | 2 |
| #13092703 | 2 |
| #13092643 | 2 |
| #13092576 | 2 |
| C4×#67275 | 2 |
| #13092482 | 2 |
| #13092410 | 2 |
| C23×#460 | 2 |
| #3304 | 23 |