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 |
| 3. #13092767 | C2 | semidirect |
| 4. #13092724 | C2 | semidirect |
| 7. #13092624 | C2 | semidirect |
| 8. Q8×C23⋊C8 | C2 | semidirect |
| 9. C4×#67275 | 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 |
|---|---|
| #13093145 | 2 |
| #13092771 | 2 |
| #13092767 | 2 |
| #13092724 | 2 |
| #13092697 | 2 |
| #13092636 | 2 |
| #13092624 | 2 |
| Q8×C23⋊C8 | 2 |
| C4×#67275 | 2 |
| C4×#67273 | 2 |
| C23×#556 | 2 |
| #3364 | 23 |