Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
490 conjugacy classes of subgroups.
The subgroup lattice has 392 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 5. C2×#10587544 | C4 | semidirect |
| 9. #11763675 | C4 | semidirect |
| 236. C17 | #7039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544640 | 2 |
| #14527012 | 2 |
| #7039 | 17 |