Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
160 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14531066 | C2 | semidirect |
| 2. #14526991 | C2 | semidirect |
| 3. #14526982 | C2 | semidirect |
| 18. C17×Q32 | Q8 | semidirect |
| 20. C17×D16 | Q8 | semidirect |
| 86. Q32 | Dic34 | semidirect |
| 88. D16 | Dic34 | semidirect |
| 97. C17 | #13710 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531066 | 2 |
| #14526991 | 2 |
| #14526982 | 2 |
| #14526971 | 2 |
| C17×#2178 | 2 |
| #13710 | 17 |