Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×Q8×Dic23 | C2 | semidirect |
| 3. #13092750 | C2 | semidirect |
| 5. #13092722 | C2 | semidirect |
| 6. #13092641 | C2 | semidirect |
| 8. #13092524 | C2 | semidirect |
| 9. #13092520 | C2 | semidirect |
| 10. #13092471 | C2 | semidirect |
| 11. C23×#451 | C2 | semidirect |
| 133. #451 | D23 | semidirect |
| 174. C23 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092953 | 2 |
| C2×Q8×Dic23 | 2 |
| #13092750 | 2 |
| #13092736 | 2 |
| #13092722 | 2 |
| #13092641 | 2 |
| #13092556 | 2 |
| #13092524 | 2 |
| #13092520 | 2 |
| #13092471 | 2 |
| C23×#451 | 2 |
| #3117 | 23 |