Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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. #13092974 | C2 | semidirect |
| 3. #13092759 | C2 | semidirect |
| 4. #13092713 | C2 | semidirect |
| 5. #13092708 | C2 | semidirect |
| 6. #13092628 | C2 | semidirect |
| 7. #13092623 | C2 | semidirect |
| 9. #13092525 | C2 | semidirect |
| 10. #13092519 | C2 | semidirect |
| 11. C23×#432 | C2 | semidirect |
| 142. #432 | D23 | semidirect |
| 179. C23 | #3116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092974 | 2 |
| C4×#67288 | 2 |
| #13092759 | 2 |
| #13092713 | 2 |
| #13092708 | 2 |
| #13092628 | 2 |
| #13092623 | 2 |
| #13092581 | 2 |
| #13092525 | 2 |
| #13092519 | 2 |
| C23×#432 | 2 |
| #3116 | 23 |