Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
324 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 74 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. #14545143 | C2 | semidirect |
| 2. #14544706 | C2 | semidirect |
| 3. #14543772 | C2 | semidirect |
| 13. #11763211 | C4 | semidirect |
| 18. Q16×Dic17 | C4 | semidirect |
| 20. D8×Dic17 | C4 | semidirect |
| 22. C17×#495 | C4 | semidirect |
| 144. #495 | #595 | semidirect |
| 195. C17 | #11855 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545143 | 2 |
| #14544706 | 2 |
| #14543772 | 2 |
| #14543770 | 2 |
| #14539351 | 2 |
| #11855 | 17 |