Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
408 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 408 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. #14527347 | C2 | semidirect |
| 4. #14527076 | C2 | semidirect |
| 5. C17×#1846 | C2 | semidirect |
| 9. #11763160 | C4 | semidirect |
| 10. #11763156 | C4 | semidirect |
| 111. #1846 | D17 | semidirect |
| 178. C17 | #9758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539107 | 2 |
| #14527347 | 2 |
| #14527343 | 2 |
| #14527076 | 2 |
| C17×#1846 | 2 |
| #9758 | 17 |