Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
396 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
| 2. #13092763 | C2 | semidirect |
| 3. #13092738 | C2 | semidirect |
| 4. #13092702 | C2 | semidirect |
| 5. #13092644 | C2 | semidirect |
| 6. #13092614 | C2 | semidirect |
| 7. #13092579 | C2 | semidirect |
| 8. C4×#67275 | C2 | semidirect |
| 9. D4×C23⋊C8 | C2 | semidirect |
| 10. #13092413 | C2 | 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 |
| #13092763 | 2 |
| #13092738 | 2 |
| #13092702 | 2 |
| #13092644 | 2 |
| #13092614 | 2 |
| #13092579 | 2 |
| C4×#67275 | 2 |
| D4×C23⋊C8 | 2 |
| #13092413 | 2 |
| C23×#550 | 2 |
| #3304 | 23 |