Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 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. #13093140 | C2 | semidirect |
| 2. #13092779 | C2 | semidirect |
| 3. #13092769 | C2 | semidirect |
| 4. #13092709 | C2 | semidirect |
| 5. #13092694 | C2 | semidirect |
| 7. #13092622 | C2 | semidirect |
| 8. #13092548 | C2 | semidirect |
| 9. #13092517 | C2 | semidirect |
| 11. D4×Q8×C23 | C2 | semidirect |
| 119. D4×Q8 | D23 | semidirect |
| 163. C23 | #3367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093140 | 2 |
| #13092779 | 2 |
| #13092769 | 2 |
| #13092709 | 2 |
| #13092694 | 2 |
| #13092632 | 2 |
| #13092622 | 2 |
| #13092548 | 2 |
| #13092517 | 2 |
| C4×#67272 | 2 |
| D4×Q8×C23 | 2 |
| #3367 | 23 |