Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
428 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14528830 | C2 | semidirect |
| 3. #14526905 | C2 | semidirect |
| 10. C2×C17×#131 | C4 | semidirect |
| 15. C17×#423 | C4 | semidirect |
| 16. C17×#408 | C4 | semidirect |
| 18. C2×C4×C8×C17 | C4 | semidirect |
| 140. C2×#131 | Dic17 | semidirect |
| 146. #423 | Dic17 | semidirect |
| 148. #408 | Dic17 | semidirect |
| 150. C2×C4×C8 | Dic17 | semidirect |
| 190. C17 | #12807 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530449 | 2 |
| #14528830 | 2 |
| #14526905 | 2 |
| C17×#2931 | 2 |
| #12807 | 17 |