Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
612 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 5. C23×Dic34 | C4 | semidirect |
| 12. #11762681 | C4 | semidirect |
| 14. #11762669 | C4 | semidirect |
| 44. C17×#100 | Q8 | semidirect |
| 221. #100 | Dic34 | semidirect |
| 229. C17 | #13293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14532149 | 2 |
| #14528772 | 2 |
| #14526903 | 2 |
| C4×C17×#100 | 2 |
| #13293 | 17 |