Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 1. #13093153 | C2 | semidirect |
| 2. #13093128 | C2 | semidirect |
| 3. #13092770 | C2 | semidirect |
| 4. #13092719 | C2 | semidirect |
| 5. #13092709 | C2 | semidirect |
| 6. #13092631 | C2 | semidirect |
| 8. C8×Dic46 | C2 | semidirect |
| 9. C4×#67263 | C2 | semidirect |
| 10. #13092497 | C2 | semidirect |
| 11. C23×#486 | C2 | semidirect |
| 121. #486 | D23 | semidirect |
| 163. C23 | #3361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093153 | 2 |
| #13093128 | 2 |
| #13092770 | 2 |
| #13092719 | 2 |
| #13092709 | 2 |
| #13092631 | 2 |
| #13092609 | 2 |
| C8×Dic46 | 2 |
| C4×#67263 | 2 |
| #13092497 | 2 |
| C23×#486 | 2 |
| #3361 | 23 |