Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
466 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14541887 | C2 | semidirect |
| 3. #14530511 | C2 | semidirect |
| 4. #14526884 | C2 | semidirect |
| 5. C17×#1813 | C2 | semidirect |
| 53. C2×#63214 | D4 | semidirect |
| 123. #1813 | D17 | semidirect |
| 192. C17 | #13076 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541887 | 2 |
| #14538446 | 2 |
| #14530511 | 2 |
| #14526884 | 2 |
| C17×#1813 | 2 |
| #13076 | 17 |