Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
376 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
| 45. C2×Q8×C23 | Q8 | semidirect |
| 172. C23 | #3078 | semidirect |
| 177. C2×Q8 | Dic46 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092970 | 2 |
| C2×Q8×Dic23 | 2 |
| #13092726 | 2 |
| #13092722 | 2 |
| #13092710 | 2 |
| #13092700 | 2 |
| #13092460 | 2 |
| #13092459 | 2 |
| #13092440 | 2 |
| #13092426 | 2 |
| C23×#419 | 2 |
| #3078 | 23 |