Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #13092726 | C2 | semidirect |
| 4. #13092722 | C2 | semidirect |
| 5. #13092710 | C2 | semidirect |
| 6. #13092700 | 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 |
| #13092895 | 2 |
| #13092726 | 2 |
| #13092722 | 2 |
| #13092710 | 2 |
| #13092700 | 2 |
| #13092459 | 2 |
| #13092453 | 2 |
| #13092445 | 2 |
| C2×#10625017 | 2 |
| C23×#419 | 2 |
| #3082 | 23 |