Finite Group DatabasebetaFinite Group DatabasebetaOrder 2752.
104 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 2. #13063331 | C2 | semidirect |
| 3. #13063260 | C2 | semidirect |
| 4. #13063252 | C2 | semidirect |
| 5. #13063251 | C2 | semidirect |
| 6. #13063235 | C2 | semidirect |
| 7. #131×C43 | C2 | semidirect |
| 14. #10621885 | C4 | semidirect |
| 15. #10621884 | C4 | semidirect |
| 16. #10621883 | C4 | semidirect |
| 17. #10621882 | C4 | semidirect |
| 52. C43 | #444 | semidirect |
| 55. #131 | D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13063345 | 2 |
| #13063331 | 2 |
| #13063260 | 2 |
| #13063252 | 2 |
| #13063251 | 2 |
| #13063235 | 2 |
| #131×C43 | 2 |
| #444 | 43 |