Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13093146 | C2 | semidirect |
| 3. #13092773 | C2 | semidirect |
| 5. #13092720 | C2 | semidirect |
| 6. #13092702 | C2 | semidirect |
| 7. #13092641 | C2 | semidirect |
| 9. C8×Dic46 | C2 | semidirect |
| 10. #13092502 | C2 | semidirect |
| 11. C4×Q16×C23 | C2 | semidirect |
| 123. C4×Q16 | D23 | semidirect |
| 158. C23 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093152 | 2 |
| #13093146 | 2 |
| #13092773 | 2 |
| #13092764 | 2 |
| #13092720 | 2 |
| #13092702 | 2 |
| #13092641 | 2 |
| #13092617 | 2 |
| C8×Dic46 | 2 |
| #13092502 | 2 |
| C4×Q16×C23 | 2 |
| #3365 | 23 |