Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 133 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. #13093048 | C2 | semidirect |
| 3. #13092727 | C2 | semidirect |
| 4. #13092716 | C2 | semidirect |
| 5. #13092706 | C2 | semidirect |
| 6. #13092701 | C2 | semidirect |
| 7. #13092457 | C2 | semidirect |
| 8. #13092443 | C2 | semidirect |
| 11. C2×C23×#106 | C2 | semidirect |
| 46. #67288 | Q8 | semidirect |
| 126. C2×#106 | D23 | semidirect |
| 164. C23 | #3084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093048 | 2 |
| #13092898 | 2 |
| #13092727 | 2 |
| #13092716 | 2 |
| #13092706 | 2 |
| #13092701 | 2 |
| #13092457 | 2 |
| #13092443 | 2 |
| #13092416 | 2 |
| #13092414 | 2 |
| C2×C23×#106 | 2 |
| #3084 | 23 |