Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 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. #13093142 | C2 | semidirect |
| 4. #13092722 | C2 | semidirect |
| 7. #13092624 | C2 | semidirect |
| 8. C8×Dic46 | C2 | semidirect |
| 9. #13092509 | C2 | semidirect |
| 11. C23×#487 | C2 | semidirect |
| 115. #487 | D23 | semidirect |
| 156. C23 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093142 | 2 |
| #13093141 | 2 |
| #13092773 | 2 |
| #13092722 | 2 |
| #13092694 | 2 |
| #13092642 | 2 |
| #13092624 | 2 |
| C8×Dic46 | 2 |
| #13092509 | 2 |
| C4×#67263 | 2 |
| C23×#487 | 2 |
| #3364 | 23 |