Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
358 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 96 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. C2×#11763738 | C2 | semidirect |
| 2. #14545135 | C2 | semidirect |
| 4. #14543865 | C2 | semidirect |
| 16. #11763227 | C4 | semidirect |
| 17. #11763226 | C4 | semidirect |
| 19. #11763225 | C4 | semidirect |
| 24. C17×#504 | C4 | semidirect |
| 160. #504 | #595 | semidirect |
| 216. C17 | #12841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763738 | 2 |
| #14545135 | 2 |
| #14544671 | 2 |
| #14543865 | 2 |
| D17×#504 | 2 |
| #12841 | 17 |