Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
334 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #13092427 | C2 | semidirect |
| 5. #13092322 | C2 | semidirect |
| 6. #13092178 | C2 | semidirect |
| 7. C23×#343 | C2 | semidirect |
| 17. #10625080 | C4 | semidirect |
| 45. C2×Dic46 | C2×C4 | semidirect |
| 50. M16×C23 | C2×C4 | semidirect |
| 124. #343 | D23 | semidirect |
| 152. C23 | #1882 | semidirect |
| 177. M16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625080 | 2 |
| #13092898 | 2 |
| C2×#10625007 | 2 |
| #13092427 | 2 |
| #13092322 | 2 |
| #13092178 | 2 |
| C23×#343 | 2 |
| #1882 | 23 |