Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
374 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14545985 | C2 | semidirect |
| 2. #14545817 | C2 | semidirect |
| 180. C17 | #11460 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545985 | 2 |
| #14545817 | 2 |
| #14545805 | 2 |
| C2×#11763825 | 2 |
| #11460 | 17 |