Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
612 conjugacy classes of subgroups; only the 176 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 176 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. #14544884 | C2 | semidirect |
| 3. #14544843 | C2 | semidirect |
| 5. #14544718 | C2 | semidirect |
| 6. #14544713 | C2 | semidirect |
| 163. C17 | #23380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544884 | 2 |
| #14544859 | 2 |
| #14544843 | 2 |
| #14544729 | 2 |
| #14544718 | 2 |
| #14544713 | 2 |
| #14532087 | 2 |
| #23380 | 17 |