Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2810 conjugacy classes of subgroups.
The subgroup lattice has 298 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13123404 | C2 | direct (N × H) |
| 3. C2×#11718660 | C2 | semidirect |
| 4. C2×#11718585 | C2 | semidirect |
| 5. C22×C4⋊#1055 | C2 | semidirect |
| 20. #11718660 | C22 | semidirect |
| 21. #11718585 | C22 | semidirect |
| 26. C2×C4⋊#1055 | C22 | semidirect |
| 120. C2×C4×C13 | #131 | semidirect |
| 167. C4×C13 | C2×#131 | semidirect |
| 206. C2×C13 | #2906 | semidirect |
| 247. C13 | C2×#2906 | semidirect |
| 262. C2×C4 | #88202 | semidirect |
| 289. C4 | C2×#88202 | semidirect |
| 293. C2 | #13123404 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88202 | 2 |
| #13123404 | 2 |
| C2×#11718660 | 2 |
| C2×#11718585 | 2 |
| C22×C4⋊#1055 | 2 |
| C2×C4×C13×#41 | 2 |
| C2×#2906 | 13 |