Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 60 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. #14545057 | C2 | semidirect |
| 2. #14543917 | C2 | semidirect |
| 3. #14543915 | C2 | semidirect |
| 11. #11763188 | C4 | semidirect |
| 14. #11763181 | C4 | semidirect |
| 15. C2×C4×#3622 | C4 | semidirect |
| 16. C17×#532 | C4 | semidirect |
| 126. #532 | #595 | semidirect |
| 167. C17 | #13583 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545057 | 2 |
| #14543917 | 2 |
| #14543915 | 2 |
| #14539210 | 2 |
| #13583 | 17 |