Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 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. #13093140 | C2 | semidirect |
| 2. #13093127 | C2 | semidirect |
| 3. #13092772 | C2 | semidirect |
| 4. #13092768 | C2 | semidirect |
| 5. #13092725 | C2 | semidirect |
| 6. #13092708 | C2 | semidirect |
| 8. #13092623 | C2 | semidirect |
| 9. C4×#67263 | C2 | semidirect |
| 11. C8×Q8×C23 | C2 | semidirect |
| 124. C8×Q8 | D23 | semidirect |
| 161. C23 | #3360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093140 | 2 |
| #13093127 | 2 |
| #13092772 | 2 |
| #13092768 | 2 |
| #13092725 | 2 |
| #13092708 | 2 |
| #13092633 | 2 |
| #13092623 | 2 |
| C4×#67263 | 2 |
| C4×D184 | 2 |
| C8×Q8×C23 | 2 |
| #3360 | 23 |