Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
630 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 630 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 12. C2×#10587555 | C4 | semidirect |
| 15. #11762714 | C4 | semidirect |
| 20. C17×#384 | C4 | semidirect |
| 179. #384 | #595 | semidirect |
| 225. C17 | #9683 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544511 | 2 |
| C2×#11763662 | 2 |
| #14543960 | 2 |
| #14537137 | 2 |
| #9683 | 17 |