Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
458 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 5. C2×#10587542 | C4 | semidirect |
| 13. #11762564 | C4 | semidirect |
| 14. C17×#336 | C4 | semidirect |
| 155. #336 | #595 | semidirect |
| 185. C17 | #7036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544511 | 2 |
| #14543960 | 2 |
| #14528545 | 2 |
| #7036 | 17 |