Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
336 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 336 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. #13093145 | C2 | semidirect |
| 4. #13092768 | C2 | semidirect |
| 5. #13092725 | C2 | semidirect |
| 8. #13092628 | C2 | semidirect |
| 9. C4×Dic92 | C2 | semidirect |
| 11. C8×Q8×C23 | C2 | semidirect |
| 120. C8×Q8 | D23 | semidirect |
| 156. C23 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093145 | 2 |
| #13093140 | 2 |
| #13092772 | 2 |
| #13092768 | 2 |
| #13092725 | 2 |
| #13092698 | 2 |
| #13092640 | 2 |
| #13092628 | 2 |
| C4×Dic92 | 2 |
| C4×#67263 | 2 |
| C8×Q8×C23 | 2 |
| #3364 | 23 |