Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
182 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 55 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. #13092790 | C2 | semidirect |
| 2. #13092698 | C2 | semidirect |
| 4. #13092496 | C2 | semidirect |
| 5. #13092162 | C2 | semidirect |
| 6. #13092160 | C2 | semidirect |
| 7. C23×#335 | C2 | semidirect |
| 64. C8×C23 | D8 | semidirect |
| 85. #335 | D23 | semidirect |
| 108. C23 | #1685 | semidirect |
| 151. C8 | D184 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092790 | 2 |
| #13092698 | 2 |
| #13092613 | 2 |
| #13092496 | 2 |
| #13092162 | 2 |
| #13092160 | 2 |
| C23×#335 | 2 |
| #1685 | 23 |