Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
416 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 416 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. C4⋊Q8×D23 | C2 | semidirect |
| 3. #13092711 | C2 | semidirect |
| 4. #13092705 | C2 | semidirect |
| 5. #13092703 | C2 | semidirect |
| 6. #13092699 | C2 | semidirect |
| 7. #13092697 | C2 | semidirect |
| 8. #13092458 | C2 | semidirect |
| 9. #13092439 | C2 | semidirect |
| 11. C23×#474 | C2 | semidirect |
| 51. #67290 | Q8 | semidirect |
| 86. D4×C23 | C2×Q8 | semidirect |
| 110. Dic46 | C2×Q8 | semidirect |
| 140. #474 | D23 | semidirect |
| 180. C23 | #3079 | semidirect |
| 229. D4 | Q8×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊Q8×D23 | 2 |
| C4×#67290 | 2 |
| #13092711 | 2 |
| #13092705 | 2 |
| #13092703 | 2 |
| #13092699 | 2 |
| #13092697 | 2 |
| #13092458 | 2 |
| #13092439 | 2 |
| #13092415 | 2 |
| C23×#474 | 2 |
| #3079 | 23 |