Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
406 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14539307 | C2 | semidirect |
| 4. #14526890 | C2 | semidirect |
| 5. #14526889 | C2 | semidirect |
| 6. #14526867 | C2 | semidirect |
| 29. C2×D8×C17 | Q8 | semidirect |
| 177. C2×D8 | Dic34 | semidirect |
| 206. C17 | #13367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539307 | 2 |
| #14530500 | 2 |
| #14529661 | 2 |
| #14526890 | 2 |
| #14526889 | 2 |
| #14526867 | 2 |
| C17×#2140 | 2 |
| #13367 | 17 |