Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1702 conjugacy classes of subgroups.
The subgroup lattice has 380 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131749 | C2 | semidirect |
| 2. #13131746 | C2 | semidirect |
| 3. #13131743 | C2 | semidirect |
| 4. #13131637 | C2 | semidirect |
| 26. #11719080 | C22 | semidirect |
| 27. #11719078 | C22 | semidirect |
| 28. #11719078 | C22 | semidirect |
| 31. #11719074 | C22 | semidirect |
| 323. C13 | #60249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131749 | 2 |
| #13131746 | 2 |
| #13131743 | 2 |
| #13131637 | 2 |
| #13131518 | 2 |
| #13131514 | 2 |
| C2×#11719393 | 2 |
| #60249 | 13 |