Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 19. #11762637 | C4 | semidirect |
| 20. #11762636 | C4 | semidirect |
| 21. #11762636 | C4 | semidirect |
| 22. C17×#367 | C4 | semidirect |
| 157. #367 | #595 | semidirect |
| 197. C17 | #13111 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544888 | 2 |
| #107×#595 | 2 |
| #14543842 | 2 |
| #14543841 | 2 |
| #14543821 | 2 |
| D17×#367 | 2 |
| #13111 | 17 |