Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
750 conjugacy classes of subgroups.
The subgroup lattice has 614 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13129926 | C2 | direct (N × H) |
| 389. C2×C13 | #1392 | semidirect |
| 491. C13 | C2×#1392 | semidirect |
| 611. C2 | #13129926 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719148 | 2 |
| C2×#11719146 | 2 |
| #13129926 | 2 |
| C2×#11718406 | 2 |
| C2×#1392 | 13 |