Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
400 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 92 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. C2×#11763732 | C2 | semidirect |
| 2. #14543795 | C2 | semidirect |
| 3. #14543794 | C2 | semidirect |
| 175. C17 | #11922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763732 | 2 |
| #14543795 | 2 |
| #14543794 | 2 |
| #14539210 | 2 |
| #11922 | 17 |