Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
304 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 3. #14543927 | C2 | semidirect |
| 4. #14543926 | C2 | semidirect |
| 5. #14543922 | C2 | semidirect |
| 6. #14543922 | C2 | semidirect |
| 213. C17 | #13612 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545087 | 2 |
| #14545080 | 2 |
| #14543927 | 2 |
| #14543926 | 2 |
| #14543922 | 2 |
| #14539870 | 2 |
| #13612 | 17 |