Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
314 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 314 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 |
|---|---|---|
| 12. C17×#500 | C4 | semidirect |
| 13. C17×#494 | C4 | semidirect |
| 18. C4×Q16×C17 | C4 | semidirect |
| 117. #500 | Dic17 | semidirect |
| 118. #494 | Dic17 | semidirect |
| 123. C4×Q16 | Dic17 | semidirect |
| 160. C17 | #11859 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530587 | 2 |
| #14528915 | 2 |
| #14526796 | 2 |
| C17×#3170 | 2 |
| #11859 | 17 |