Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1194 conjugacy classes of subgroups; only the 216 normal subgroups are shown.
This group has 1194 conjugacy classes of subgroups — too many to draw. Only its 216 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. #13131516 | C2 | semidirect |
| 2. #13130980 | C2 | semidirect |
| 3. #13130979 | C2 | semidirect |
| 5. #13130670 | C2 | semidirect |
| 315. C13 | #21802 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131516 | 2 |
| #13130980 | 2 |
| #13130979 | 2 |
| #13130673 | 2 |
| #13130670 | 2 |
| C2×#11719353 | 2 |
| #21802 | 13 |