Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
336 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 336 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. #13093146 | C2 | semidirect |
| 4. #13092767 | C2 | semidirect |
| 5. #13092726 | C2 | semidirect |
| 8. #13092541 | C2 | semidirect |
| 9. Q16×Dic23 | C2 | semidirect |
| 11. C23×#462 | C2 | semidirect |
| 119. #462 | 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 |
|---|---|
| #13093146 | 2 |
| #13093141 | 2 |
| #13092773 | 2 |
| #13092767 | 2 |
| #13092726 | 2 |
| #13092698 | 2 |
| #13092641 | 2 |
| #13092541 | 2 |
| Q16×Dic23 | 2 |
| C4×#67274 | 2 |
| C23×#462 | 2 |
| #3364 | 23 |