Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
654 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 654 conjugacy classes of subgroups — too many to draw. Only its 144 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 |
|---|---|---|
| 16. #11762837 | C4 | semidirect |
| 17. #11762836 | C4 | semidirect |
| 18. #11762835 | C4 | semidirect |
| 21. C17×#424 | C4 | semidirect |
| 184. #424 | #595 | semidirect |
| 236. C17 | #11236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545437 | 2 |
| #14544482 | 2 |
| #14544470 | 2 |
| #14544456 | 2 |
| D17×#424 | 2 |
| #11236 | 17 |