Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
208 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 2. #13092791 | C2 | semidirect |
| 3. #13092765 | C2 | semidirect |
| 4. #13092765 | C2 | semidirect |
| 5. #13092765 | C2 | semidirect |
| 6. #13092139 | C2 | semidirect |
| 7. C23×#487 | C2 | semidirect |
| 72. #487 | D23 | semidirect |
| 95. C23 | #1717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092794 | 2 |
| #13092791 | 2 |
| #13092765 | 2 |
| #13092139 | 2 |
| C23×#487 | 2 |
| #1717 | 23 |