Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1170 conjugacy classes of subgroups; only the 230 normal subgroups are shown.
This group has 1170 conjugacy classes of subgroups — too many to draw. Only its 230 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13131739 | C2 | semidirect |
| 2. #13130106 | C2 | semidirect |
| 3. #13130095 | C2 | semidirect |
| 4. #13130075 | C2 | semidirect |
| 256. C13 | #17425 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131739 | 2 |
| #13130106 | 2 |
| #13130095 | 2 |
| #13130075 | 2 |
| C2×#11719536 | 2 |
| #17425 | 13 |