Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 1. #13092948 | C2 | semidirect |
| 2. #13092818 | C2 | semidirect |
| 3. #13092800 | C2 | semidirect |
| 4. #13092770 | C2 | semidirect |
| 5. #13092658 | C2 | semidirect |
| 6. #13092644 | C2 | semidirect |
| 7. #13092511 | C2 | semidirect |
| 8. #13092508 | C2 | semidirect |
| 9. D8×Dic23 | C2 | semidirect |
| 10. C2×C8×Dic23 | C2 | semidirect |
| 157. C23 | #3168 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092948 | 2 |
| #13092818 | 2 |
| #13092800 | 2 |
| #13092770 | 2 |
| #13092658 | 2 |
| #13092644 | 2 |
| #13092511 | 2 |
| #13092508 | 2 |
| D8×Dic23 | 2 |
| C2×C8×Dic23 | 2 |
| C23×#466 | 2 |
| #3168 | 23 |