Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 74 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. #14544927 | C2 | semidirect |
| 3. #14544313 | C2 | semidirect |
| 5. #14543689 | C2 | semidirect |
| 6. #14543652 | C2 | semidirect |
| 293. C17 | #9339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545737 | 2 |
| #14544927 | 2 |
| #14544313 | 2 |
| #14544250 | 2 |
| #14543689 | 2 |
| #14543652 | 2 |
| #14540012 | 2 |
| #9339 | 17 |