Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
782 conjugacy classes of subgroups.
The subgroup lattice has 182 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#11718261 | C2 | direct (N × H) |
| 12. #11718261 | C22 | direct (N × H) |
| 90. C22×C13 | #364 | semidirect |
| 119. C2×C13 | C2×#364 | semidirect |
| 145. C13 | C22×#364 | semidirect |
| 168. C22 | #11718261 | direct (N × H) |
| 179. C2 | C2×#11718261 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88106 | 2 |
| C2×#11718261 | 2 |
| C22×C8×Dic13 | 2 |
| C22×#364 | 13 |