Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13093141 | C2 | semidirect |
| 3. #13092769 | C2 | semidirect |
| 4. #13092760 | C2 | semidirect |
| 5. #13092659 | C2 | semidirect |
| 6. #13092628 | C2 | semidirect |
| 7. #13092580 | C2 | semidirect |
| 8. C4×#67273 | C2 | semidirect |
| 9. #13092482 | C2 | semidirect |
| 10. #13092410 | C2 | semidirect |
| 11. C23×#474 | C2 | semidirect |
| 125. #474 | D23 | semidirect |
| 166. C23 | #3302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093141 | 2 |
| #13093071 | 2 |
| #13092769 | 2 |
| #13092760 | 2 |
| #13092659 | 2 |
| #13092628 | 2 |
| #13092580 | 2 |
| C4×#67273 | 2 |
| #13092482 | 2 |
| #13092410 | 2 |
| C23×#474 | 2 |
| #3302 | 23 |