Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13093145 | C2 | semidirect |
| 2. #13092771 | C2 | semidirect |
| 4. #13092717 | C2 | semidirect |
| 5. #13092702 | C2 | semidirect |
| 6. #13092636 | C2 | semidirect |
| 8. Q8×C23⋊C8 | C2 | semidirect |
| 9. C4×#67275 | C2 | semidirect |
| 10. C4×#67273 | C2 | semidirect |
| 158. C23 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093145 | 2 |
| #13092771 | 2 |
| #13092763 | 2 |
| #13092717 | 2 |
| #13092702 | 2 |
| #13092636 | 2 |
| #13092614 | 2 |
| Q8×C23⋊C8 | 2 |
| C4×#67275 | 2 |
| C4×#67273 | 2 |
| C23×#559 | 2 |
| #3365 | 23 |