Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
954 conjugacy classes of subgroups; only the 166 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 166 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. #14544953 | C2 | semidirect |
| 2. #14544079 | C2 | semidirect |
| 3. #14544075 | C2 | semidirect |
| 4. #14544027 | C2 | semidirect |
| 28. C17×2−1+4 | C8 | semidirect |
| 224. 2−1+4 | #3624 | semidirect |
| 270. C17 | #8319 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544953 | 2 |
| #14544079 | 2 |
| #14544075 | 2 |
| #14544027 | 2 |
| 2−1+4×Dic17 | 2 |
| #8319 | 17 |