Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
398 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 398 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. #13093133 | C2 | semidirect |
| 2. #13093071 | C2 | semidirect |
| 3. #13092769 | C2 | semidirect |
| 4. #13092761 | C2 | semidirect |
| 5. #13092647 | C2 | semidirect |
| 6. #13092623 | C2 | semidirect |
| 7. #13092563 | C2 | semidirect |
| 8. C4×#67272 | C2 | semidirect |
| 9. #13092482 | C2 | semidirect |
| 10. #13092410 | C2 | semidirect |
| 11. C23×#476 | C2 | semidirect |
| 129. #476 | D23 | semidirect |
| 171. C23 | #3303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093133 | 2 |
| #13093071 | 2 |
| #13092769 | 2 |
| #13092761 | 2 |
| #13092647 | 2 |
| #13092623 | 2 |
| #13092563 | 2 |
| C4×#67272 | 2 |
| #13092482 | 2 |
| #13092410 | 2 |
| C23×#476 | 2 |
| #3303 | 23 |