Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
378 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14530544 | C2 | semidirect |
| 4. #14528907 | C2 | semidirect |
| 5. #14526896 | C2 | semidirect |
| 6. #14526879 | C2 | semidirect |
| 10. #11762931 | C4 | semidirect |
| 196. C17 | #12830 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537701 | 2 |
| #14530544 | 2 |
| C2×#11762616 | 2 |
| #14528907 | 2 |
| #14526896 | 2 |
| #14526879 | 2 |
| C17×#2145 | 2 |
| #12830 | 17 |