Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
426 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 90 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. #14544898 | C2 | semidirect |
| 3. #14544354 | C2 | semidirect |
| 5. #14543615 | C2 | semidirect |
| 6. #14543613 | C2 | semidirect |
| 240. C17 | #8930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545530 | 2 |
| #14544898 | 2 |
| #14544354 | 2 |
| #14544131 | 2 |
| #14543615 | 2 |
| #14543613 | 2 |
| #14527432 | 2 |
| #8930 | 17 |