Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
362 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 2. #13092724 | C2 | semidirect |
| 3. #13092724 | C2 | semidirect |
| 4. #13092712 | C2 | semidirect |
| 5. #13092702 | C2 | semidirect |
| 43. C2×Q8×C23 | Q8 | semidirect |
| 157. C23 | #3082 | semidirect |
| 161. C2×Q8 | Dic46 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093045 | 2 |
| #13092724 | 2 |
| #13092712 | 2 |
| #13092702 | 2 |
| #13092460 | 2 |
| #13092453 | 2 |
| #13092444 | 2 |
| #13092426 | 2 |
| C2×#10625017 | 2 |
| C23×#519 | 2 |
| #3082 | 23 |