Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
392 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 55 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. #14539679 | C2 | semidirect |
| 2. #14530735 | C2 | semidirect |
| 3. #14526777 | C2 | semidirect |
| 4. #14526722 | C2 | semidirect |
| 196. C17 | #12118 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539679 | 2 |
| #14530735 | 2 |
| #14526777 | 2 |
| #14526722 | 2 |
| C17×#2017 | 2 |
| #12118 | 17 |