Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
286 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 8. #11763685 | C4 | semidirect |
| 11. C2×#10587483 | C4 | semidirect |
| 14. C2×C17×M32 | C4 | semidirect |
| 123. C2×M32 | #595 | semidirect |
| 162. C17 | #7235 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544664 | 2 |
| #14544661 | 2 |
| #14530394 | 2 |
| #7235 | 17 |