Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
566 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 566 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. #14537422 | C2 | semidirect |
| 3. #14527210 | C2 | semidirect |
| 4. #14526686 | C2 | semidirect |
| 5. C17×#1458 | C2 | semidirect |
| 59. C4⋊#3622 | D4 | semidirect |
| 157. #1458 | D17 | semidirect |
| 249. C17 | #9036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537422 | 2 |
| #14532020 | 2 |
| #14527210 | 2 |
| #14526686 | 2 |
| C17×#1458 | 2 |
| #9036 | 17 |