Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
380 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 66 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. C23×#3624 | C4 | semidirect |
| 7. C2×C22⋊#3624 | C4 | semidirect |
| 13. #11762533 | C4 | semidirect |
| 15. C17×#323 | C4 | semidirect |
| 33. #10587551 | C8 | semidirect |
| 159. #323 | #595 | semidirect |
| 192. C17 | #7204 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544759 | 2 |
| #14544531 | 2 |
| #14527103 | 2 |
| #7204 | 17 |