Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
914 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 914 conjugacy classes of subgroups — too many to draw. Only its 170 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 |
|---|---|---|
| 9. #11763802 | C4 | semidirect |
| 18. #11762716 | C4 | semidirect |
| 19. #11762715 | C4 | semidirect |
| 20. #11762714 | C4 | semidirect |
| 23. C17×#391 | C4 | semidirect |
| 225. #391 | #595 | semidirect |
| 280. C17 | #10947 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763802 | 2 |
| #14545350 | 2 |
| #14544484 | 2 |
| C2×#11763676 | 2 |
| #14531367 | 2 |
| #10947 | 17 |