Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
396 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 396 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. #13093127 | C2 | semidirect |
| 2. #13093089 | C2 | semidirect |
| 3. #13092782 | C2 | semidirect |
| 4. #13092764 | C2 | semidirect |
| 5. #13092718 | C2 | semidirect |
| 6. #13092708 | C2 | semidirect |
| 7. #13092613 | C2 | semidirect |
| 8. #13092613 | C2 | semidirect |
| 9. #13092530 | C2 | semidirect |
| 10. C4×D184 | C2 | semidirect |
| 11. C23×#446 | C2 | semidirect |
| 95. D92 | #41 | semidirect |
| 132. #446 | D23 | semidirect |
| 170. C23 | #3366 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093127 | 2 |
| #13093089 | 2 |
| #13092782 | 2 |
| #13092764 | 2 |
| #13092718 | 2 |
| #13092708 | 2 |
| #13092613 | 2 |
| #13092530 | 2 |
| C4×D184 | 2 |
| C23×#446 | 2 |
| #3366 | 23 |