Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1246 conjugacy classes of subgroups.
The subgroup lattice has 348 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #13130934 | C2 | direct (N × H) |
| 43. C2×C4⋊Dic13 | C8 | semidirect |
| 96. C4⋊Dic13 | C2×C8 | semidirect |
| 121. C2×C4×C13 | C4⋊C8 | semidirect |
| 181. C4×C13 | C2×C4⋊C8 | semidirect |
| 222. C2×C13 | #1939 | semidirect |
| 275. C13 | C2×#1939 | semidirect |
| 309. C2×C4 | #88112 | semidirect |
| 338. C4 | C2×#88112 | semidirect |
| 339. C2 | #13130934 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88112 | 2 |
| C22×C4⋊#1057 | 2 |
| C22×C4×#1057 | 2 |
| #13130934 | 2 |
| C2×#11718290 | 2 |
| C2×C4⋊C4×Dic13 | 2 |
| C2×#1939 | 13 |