Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
410 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 410 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 |
|---|---|---|
| 1. #14530587 | C2 | semidirect |
| 2. #14527540 | C2 | semidirect |
| 3. #14526827 | C2 | semidirect |
| 6. C4⋊#63214 | C22 | semidirect |
| 10. #11762560 | C22 | semidirect |
| 181. C17 | #11959 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530587 | 2 |
| #14527540 | 2 |
| #14526827 | 2 |
| C2×C17×#495 | 2 |
| #11959 | 17 |