Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 2. #13092787 | C2 | semidirect |
| 3. #13092779 | C2 | semidirect |
| 4. #13092774 | C2 | semidirect |
| 5. #13092769 | C2 | semidirect |
| 6. #13092425 | C2 | semidirect |
| 9. C2×#10624992 | C2 | semidirect |
| 10. #13092373 | C2 | semidirect |
| 11. C23×#544 | C2 | semidirect |
| 123. #544 | D23 | semidirect |
| 168. C23 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092993 | 2 |
| #13092787 | 2 |
| #13092779 | 2 |
| #13092774 | 2 |
| #13092769 | 2 |
| #13092425 | 2 |
| #13092416 | 2 |
| #13092411 | 2 |
| C2×#10624992 | 2 |
| #13092373 | 2 |
| C23×#544 | 2 |
| #3137 | 23 |