Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. #13093153 | C2 | semidirect |
| 2. #13093124 | C2 | semidirect |
| 3. #13092770 | C2 | semidirect |
| 4. #13092763 | C2 | semidirect |
| 5. #13092715 | C2 | semidirect |
| 6. #13092713 | C2 | semidirect |
| 7. #13092630 | C2 | semidirect |
| 8. #13092541 | C2 | semidirect |
| 9. C4×#67273 | C2 | semidirect |
| 10. D8×Dic23 | C2 | 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 |
| #13093124 | 2 |
| #13092770 | 2 |
| #13092763 | 2 |
| #13092715 | 2 |
| #13092713 | 2 |
| #13092630 | 2 |
| #13092541 | 2 |
| C4×#67273 | 2 |
| D8×Dic23 | 2 |
| C23×#459 | 2 |
| #3361 | 23 |