Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
444 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 444 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. #13093232 | C2 | semidirect |
| 2. #13093231 | C2 | semidirect |
| 3. #13092795 | C2 | semidirect |
| 4. #13092692 | C2 | semidirect |
| 5. #13092690 | C2 | semidirect |
| 6. #13092689 | C2 | semidirect |
| 7. #13092600 | C2 | semidirect |
| 8. #13092598 | C2 | semidirect |
| 9. #13092534 | C2 | semidirect |
| 10. #13092532 | C2 | semidirect |
| 11. C23×#578 | C2 | semidirect |
| 144. #578 | D23 | semidirect |
| 191. C23 | #3293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093232 | 2 |
| #13093231 | 2 |
| #13092795 | 2 |
| #13092692 | 2 |
| #13092690 | 2 |
| #13092689 | 2 |
| #13092600 | 2 |
| #13092598 | 2 |
| #13092534 | 2 |
| #13092532 | 2 |
| C23×#578 | 2 |
| #3293 | 23 |