Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups.
The subgroup lattice has 354 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131168 | C2 | semidirect |
| 2. C2×C4⋊#6092 | C2 | semidirect |
| 4. #13129890 | C2 | semidirect |
| 189. C4×C13 | #350 | semidirect |
| 292. C13 | #12787 | semidirect |
| 342. C4 | #11718304 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131168 | 2 |
| C2×C4⋊#6092 | 2 |
| C2×#11718304 | 2 |
| #13129890 | 2 |
| C4×#88202 | 2 |
| #12787 | 13 |