Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
398 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13093132 | C2 | semidirect |
| 2. #13093071 | C2 | semidirect |
| 3. #13092768 | C2 | semidirect |
| 4. #13092760 | C2 | semidirect |
| 5. #13092707 | C2 | semidirect |
| 6. #13092645 | C2 | semidirect |
| 7. #13092622 | C2 | semidirect |
| 8. #13092559 | C2 | semidirect |
| 9. C8×D92 | C2 | semidirect |
| 10. #13092410 | C2 | semidirect |
| 11. C4×D8×C23 | C2 | semidirect |
| 133. C4×D8 | D23 | semidirect |
| 171. C23 | #3303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093132 | 2 |
| #13093071 | 2 |
| #13092768 | 2 |
| #13092760 | 2 |
| #13092707 | 2 |
| #13092645 | 2 |
| #13092622 | 2 |
| #13092559 | 2 |
| C8×D92 | 2 |
| #13092410 | 2 |
| C4×D8×C23 | 2 |
| #3303 | 23 |