Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
802 conjugacy classes of subgroups.
The subgroup lattice has 336 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. #11719119 | C4 | semidirect |
| 24. C2×C13×C4⋊C4 | C8 | semidirect |
| 27. C2×C4⋊Dic13 | C8 | semidirect |
| 183. C2×C4⋊C4 | #1057 | semidirect |
| 249. C13 | #7908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719119 | 2 |
| #13129674 | 2 |
| C2×C4⋊C4×Dic13 | 2 |
| #7908 | 13 |