Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#10625059 | C2 | semidirect |
| 3. #13092711 | C2 | semidirect |
| 4. #13092706 | C2 | semidirect |
| 5. #13092701 | C2 | semidirect |
| 6. #13092696 | C2 | semidirect |
| 7. #13092460 | C2 | semidirect |
| 8. #13092440 | C2 | semidirect |
| 11. C23×#428 | C2 | semidirect |
| 50. #67288 | Q8 | semidirect |
| 104. D92 | C2×Q8 | semidirect |
| 111. Dic46 | C2×Q8 | semidirect |
| 141. #428 | D23 | semidirect |
| 181. C23 | #3079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625059 | 2 |
| #13092885 | 2 |
| #13092711 | 2 |
| #13092706 | 2 |
| #13092701 | 2 |
| #13092696 | 2 |
| #13092460 | 2 |
| #13092440 | 2 |
| #13092419 | 2 |
| #13092416 | 2 |
| C23×#428 | 2 |
| #3079 | 23 |