Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
610 conjugacy classes of subgroups.
The subgroup lattice has 372 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13129704 | C2 | direct (N × H) |
| 249. C2×C13 | #1291 | semidirect |
| 301. C13 | C2×#1291 | semidirect |
| 367. C2 | #13129704 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719128 | 2 |
| C2×C4×#6122 | 2 |
| #13129704 | 2 |
| C2×#11718380 | 2 |
| C2×#1291 | 13 |