Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1342 conjugacy classes of subgroups.
The subgroup lattice has 562 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×#11719067 | C2 | semidirect |
| 4. #13130808 | C2 | direct (N × H) |
| 5. C2×#11718239 | C2 | semidirect |
| 26. #11719067 | C22 | semidirect |
| 32. #11718239 | C22 | semidirect |
| 372. C2×C13 | #1868 | semidirect |
| 462. C13 | C2×#1868 | semidirect |
| 559. C2 | #13130808 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719621 | 2 |
| C2×#11719067 | 2 |
| C2×#11719146 | 2 |
| #13130808 | 2 |
| C2×#11718239 | 2 |
| C2×#11718401 | 2 |
| C2×#1868 | 13 |