Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
460 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 460 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 |
|---|---|---|
| 1. #14544664 | C2 | semidirect |
| 2. #14544663 | C2 | semidirect |
| 4. #14543656 | C2 | semidirect |
| 250. C17 | #8613 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544664 | 2 |
| #14544663 | 2 |
| #14544039 | 2 |
| #14543656 | 2 |
| C2×#11762878 | 2 |
| #8613 | 17 |