Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 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. #13092970 | C2 | semidirect |
| 3. #13092784 | C2 | semidirect |
| 4. #13092780 | C2 | semidirect |
| 5. #13092778 | C2 | semidirect |
| 6. #13092775 | C2 | semidirect |
| 7. #13092414 | C2 | semidirect |
| 8. #13092413 | C2 | semidirect |
| 9. #13092411 | C2 | semidirect |
| 10. C2×#10624997 | C2 | semidirect |
| 11. C23×#416 | C2 | semidirect |
| 130. #416 | D23 | semidirect |
| 164. C23 | #3135 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092970 | 2 |
| #13092963 | 2 |
| #13092784 | 2 |
| #13092780 | 2 |
| #13092778 | 2 |
| #13092775 | 2 |
| #13092414 | 2 |
| #13092413 | 2 |
| #13092411 | 2 |
| C2×#10624997 | 2 |
| C23×#416 | 2 |
| #3135 | 23 |