Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 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. #13093137 | C2 | semidirect |
| 2. D4×Dic46 | C2 | semidirect |
| 3. #13092775 | C2 | semidirect |
| 4. #13092768 | C2 | semidirect |
| 5. #13092711 | C2 | semidirect |
| 6. #13092697 | C2 | semidirect |
| 8. #13092622 | C2 | semidirect |
| 9. #13092547 | C2 | semidirect |
| 10. #13092514 | C2 | semidirect |
| 163. C23 | #3367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093137 | 2 |
| D4×Dic46 | 2 |
| #13092775 | 2 |
| #13092768 | 2 |
| #13092711 | 2 |
| #13092697 | 2 |
| #13092630 | 2 |
| #13092622 | 2 |
| #13092547 | 2 |
| #13092514 | 2 |
| C4×D8×C23 | 2 |
| #3367 | 23 |