Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
376 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 4. C2×#10587544 | C4 | semidirect |
| 8. C2×C4×#3624 | C4 | semidirect |
| 10. #11763687 | C4 | semidirect |
| 14. #11762576 | C4 | semidirect |
| 15. C17×#342 | C4 | semidirect |
| 180. #342 | #595 | semidirect |
| 216. C17 | #7237 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544907 | 2 |
| #14544646 | 2 |
| #14528771 | 2 |
| #7237 | 17 |