Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1158 conjugacy classes of subgroups; only the 172 normal subgroups are shown.
This group has 1158 conjugacy classes of subgroups — too many to draw. Only its 172 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 |
|---|---|---|
| 2. #14543622 | C2 | semidirect |
| 20. C23×C4×C17 | C8 | semidirect |
| 234. C23×C4 | #3624 | semidirect |
| 242. C17 | #8698 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544606 | 2 |
| #14543622 | 2 |
| C22×#10587502 | 2 |
| #8698 | 17 |