Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
612 conjugacy classes of subgroups; only the 232 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 232 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 |
|---|---|---|
| 2. #13130413 | C2 | semidirect |
| 3. #13130395 | C2 | semidirect |
| 4. #13130384 | C2 | semidirect |
| 166. C13 | #17837 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131770 | 2 |
| #13130413 | 2 |
| #13130395 | 2 |
| #13130384 | 2 |
| C8×#6131 | 2 |
| #17837 | 13 |