Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13093137 | C2 | semidirect |
| 3. #13092768 | C2 | semidirect |
| 4. #13092759 | C2 | semidirect |
| 5. #13092698 | C2 | semidirect |
| 6. #13092658 | C2 | semidirect |
| 7. #13092628 | C2 | semidirect |
| 8. #13092581 | C2 | semidirect |
| 9. C4×#67263 | C2 | semidirect |
| 10. #13092414 | C2 | semidirect |
| 11. C8×D4×C23 | C2 | semidirect |
| 130. C8×D4 | 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 |
|---|---|
| #13093137 | 2 |
| #13093072 | 2 |
| #13092768 | 2 |
| #13092759 | 2 |
| #13092698 | 2 |
| #13092658 | 2 |
| #13092628 | 2 |
| #13092581 | 2 |
| C4×#67263 | 2 |
| #13092414 | 2 |
| C8×D4×C23 | 2 |
| #3302 | 23 |