Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13093142 | C2 | semidirect |
| 4. #13092769 | C2 | semidirect |
| 5. #13092723 | C2 | semidirect |
| 7. #13092628 | C2 | semidirect |
| 8. #13092541 | C2 | semidirect |
| 9. #13092511 | C2 | semidirect |
| 156. C23 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093142 | 2 |
| #13093137 | 2 |
| #13092770 | 2 |
| #13092769 | 2 |
| #13092723 | 2 |
| #13092638 | 2 |
| #13092628 | 2 |
| #13092541 | 2 |
| #13092511 | 2 |
| C4×#67273 | 2 |
| C23×#474 | 2 |
| #3364 | 23 |