Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
470 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
| 2. #14530520 | C2 | semidirect |
| 3. #14528830 | C2 | semidirect |
| 4. #14526891 | C2 | semidirect |
| 16. C17×#470 | C4 | semidirect |
| 17. C17×#469 | C4 | semidirect |
| 50. #10587483 | D4 | semidirect |
| 145. #470 | Dic17 | semidirect |
| 146. #469 | Dic17 | semidirect |
| 191. C17 | #13077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541887 | 2 |
| #14530520 | 2 |
| #14528830 | 2 |
| #14526891 | 2 |
| C17×#3060 | 2 |
| #13077 | 17 |