Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
498 conjugacy classes of subgroups.
The subgroup lattice has 360 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 285. C13 | #9697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130769 | 2 |
| C4×#88112 | 2 |
| C2×#11718303 | 2 |
| C2×#11718245 | 2 |
| #13123211 | 2 |
| #9697 | 13 |