Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
160 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14531065 | C2 | semidirect |
| 3. #14526990 | C2 | semidirect |
| 4. #14526989 | C2 | semidirect |
| 5. #14526981 | C2 | semidirect |
| 22. C17×Q32 | Q8 | semidirect |
| 24. C17×D16 | Q8 | semidirect |
| 99. Q32 | Dic34 | semidirect |
| 101. D16 | Dic34 | semidirect |
| 112. C17 | #13710 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531065 | 2 |
| #14530665 | 2 |
| #14526990 | 2 |
| #14526989 | 2 |
| #14526981 | 2 |
| #14526971 | 2 |
| C17×#1418 | 2 |
| #13710 | 17 |