Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
380 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 78 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. #13130770 | C2 | semidirect |
| 3. #13130411 | C2 | semidirect |
| 5. #13129724 | C2 | semidirect |
| 6. #13129680 | C2 | semidirect |
| 296. C13 | #8876 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131775 | 2 |
| #13130770 | 2 |
| #13130411 | 2 |
| #13130153 | 2 |
| #13129724 | 2 |
| #13129680 | 2 |
| #13113321 | 2 |
| #8876 | 13 |