Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
802 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 802 conjugacy classes of subgroups — too many to draw. Only its 104 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. #13130700 | C2 | semidirect |
| 2. #13130351 | C2 | semidirect |
| 3. #13130161 | C2 | semidirect |
| 4. #13130075 | C2 | semidirect |
| 353. C13 | #8397 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130700 | 2 |
| #13130351 | 2 |
| #13130161 | 2 |
| #13130075 | 2 |
| C2×#11719321 | 2 |
| #8397 | 13 |