Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. C4⋊Q8×D23 | C2 | semidirect |
| 3. #13092779 | C2 | semidirect |
| 4. #13092777 | C2 | semidirect |
| 5. #13092776 | C2 | semidirect |
| 6. #13092766 | C2 | semidirect |
| 7. #13092762 | C2 | semidirect |
| 8. #13092417 | C2 | semidirect |
| 9. #13092415 | C2 | semidirect |
| 10. #13092369 | C2 | semidirect |
| 11. C23×#489 | C2 | semidirect |
| 140. #489 | D23 | semidirect |
| 183. C23 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092966 | 2 |
| C4⋊Q8×D23 | 2 |
| #13092779 | 2 |
| #13092777 | 2 |
| #13092776 | 2 |
| #13092766 | 2 |
| #13092762 | 2 |
| #13092417 | 2 |
| #13092415 | 2 |
| #13092369 | 2 |
| C23×#489 | 2 |
| #3141 | 23 |