Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
372 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
| 2. Q8×D92 | C2 | semidirect |
| 3. #13092777 | C2 | semidirect |
| 4. #13092768 | C2 | semidirect |
| 5. #13092713 | C2 | semidirect |
| 6. #13092698 | C2 | semidirect |
| 8. #13092623 | C2 | semidirect |
| 9. #13092519 | C2 | semidirect |
| 11. C23×#446 | C2 | semidirect |
| 126. #446 | D23 | semidirect |
| 163. C23 | #3367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093140 | 2 |
| Q8×D92 | 2 |
| #13092777 | 2 |
| #13092768 | 2 |
| #13092713 | 2 |
| #13092698 | 2 |
| #13092633 | 2 |
| #13092623 | 2 |
| #13092519 | 2 |
| C4×D184 | 2 |
| C23×#446 | 2 |
| #3367 | 23 |