Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
262 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 14. #11762637 | C4 | semidirect |
| 15. #11762637 | C4 | semidirect |
| 16. #11762635 | C4 | semidirect |
| 17. #11762635 | C4 | semidirect |
| 178. C17 | #13113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530568 | 2 |
| #14529530 | 2 |
| #14528666 | 2 |
| #14526881 | 2 |
| #14526861 | 2 |
| C17×#1381 | 2 |
| #13113 | 17 |