Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 125 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. Q8×Dic46 | C2 | semidirect |
| 3. #13092764 | C2 | semidirect |
| 4. #13092762 | C2 | semidirect |
| 5. #13092707 | C2 | semidirect |
| 6. #13092706 | C2 | semidirect |
| 7. #13092617 | C2 | semidirect |
| 8. #13092615 | C2 | semidirect |
| 9. C8×Dic46 | C2 | semidirect |
| 10. #13092502 | C2 | semidirect |
| 11. C4×SD16×C23 | C2 | semidirect |
| 77. Q8×C23 | #41 | semidirect |
| 99. Dic46 | SD16 | semidirect |
| 131. C4×SD16 | D23 | semidirect |
| 166. C23 | #3362 | semidirect |
| 206. Q8 | #67288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic46 | 2 |
| #13093088 | 2 |
| #13092764 | 2 |
| #13092762 | 2 |
| #13092707 | 2 |
| #13092706 | 2 |
| #13092617 | 2 |
| #13092615 | 2 |
| C8×Dic46 | 2 |
| #13092502 | 2 |
| C4×SD16×C23 | 2 |
| #3362 | 23 |