Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
426 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 426 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. #14545146 | C2 | semidirect |
| 2. #14544338 | C2 | semidirect |
| 3. #14543742 | C2 | semidirect |
| 8. #11763698 | C22 | semidirect |
| 10. #11763670 | C22 | semidirect |
| 62. D8×C17 | M16 | semidirect |
| 172. C17 | #11663 | semidirect |
| 187. D8 | #63247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545146 | 2 |
| #14544338 | 2 |
| #14543742 | 2 |
| C2×D8×Dic17 | 2 |
| #11663 | 17 |