Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
428 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 2. #14544667 | C2 | semidirect |
| 3. #14543873 | C2 | semidirect |
| 10. C2×#10587593 | C4 | semidirect |
| 15. #11762777 | C4 | semidirect |
| 17. C2×C4×#3622 | C4 | semidirect |
| 18. C17×#423 | C4 | semidirect |
| 146. #423 | #595 | semidirect |
| 190. C17 | #12807 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545057 | 2 |
| #14544667 | 2 |
| #14543873 | 2 |
| #14537495 | 2 |
| #12807 | 17 |