Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
480 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. #14526670 | C2 | semidirect |
| 4. #14526636 | C2 | semidirect |
| 16. C17×#383 | C4 | semidirect |
| 18. C17×#380 | C4 | semidirect |
| 21. C17×#376 | C4 | semidirect |
| 22. C2×C17×#95 | C4 | semidirect |
| 178. #383 | Dic17 | semidirect |
| 180. #380 | Dic17 | semidirect |
| 184. #376 | Dic17 | semidirect |
| 185. C2×#95 | Dic17 | semidirect |
| 228. C17 | #8776 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587505 | 2 |
| #14527122 | 2 |
| #14526670 | 2 |
| #14526636 | 2 |
| C17×#2353 | 2 |
| #8776 | 17 |