Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
258 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14527556 | C2 | semidirect |
| 5. #14526653 | C2 | semidirect |
| 6. #14526645 | C2 | semidirect |
| 7. C17×#1307 | C2 | semidirect |
| 105. #1307 | D17 | semidirect |
| 168. C17 | #10647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14527556 | 2 |
| #14527504 | 2 |
| #14527480 | 2 |
| #14527252 | 2 |
| #14526653 | 2 |
| #14526645 | 2 |
| C17×#1307 | 2 |
| #10647 | 17 |