Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
370 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 370 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. #13093142 | C2 | semidirect |
| 3. #13092766 | C2 | semidirect |
| 4. #13092700 | C2 | semidirect |
| 5. #13092699 | C2 | semidirect |
| 8. C8×Dic46 | C2 | semidirect |
| 11. C23×#487 | C2 | semidirect |
| 95. Dic46 | SD16 | semidirect |
| 118. #487 | D23 | semidirect |
| 159. C23 | #3359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093142 | 2 |
| #13093082 | 2 |
| #13092766 | 2 |
| #13092700 | 2 |
| #13092699 | 2 |
| #13092621 | 2 |
| #13092619 | 2 |
| C8×Dic46 | 2 |
| C4×#67263 | 2 |
| #13092502 | 2 |
| C23×#487 | 2 |
| #3359 | 23 |