Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
426 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 125 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. #13093088 | C2 | semidirect |
| 2. D4×Dic46 | C2 | semidirect |
| 3. #13092764 | C2 | semidirect |
| 4. #13092762 | C2 | semidirect |
| 5. #13092697 | C2 | semidirect |
| 6. #13092696 | C2 | semidirect |
| 7. #13092612 | C2 | semidirect |
| 8. #13092610 | C2 | semidirect |
| 9. C8×Dic46 | C2 | semidirect |
| 10. #13092497 | C2 | semidirect |
| 11. C4×D8×C23 | C2 | semidirect |
| 81. D4×C23 | #41 | semidirect |
| 102. Dic46 | D8 | semidirect |
| 136. C4×D8 | D23 | semidirect |
| 172. C23 | #3358 | semidirect |
| 222. D4 | #67288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093088 | 2 |
| D4×Dic46 | 2 |
| #13092764 | 2 |
| #13092762 | 2 |
| #13092697 | 2 |
| #13092696 | 2 |
| #13092612 | 2 |
| #13092610 | 2 |
| C8×Dic46 | 2 |
| #13092497 | 2 |
| C4×D8×C23 | 2 |
| #3358 | 23 |