Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
580 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 580 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 3. #13129831 | C2 | semidirect |
| 5. C23×Q8×C13 | C4 | semidirect |
| 13. #11718890 | C4 | semidirect |
| 15. #11718873 | C4 | semidirect |
| 144. C23×Q8 | #261 | semidirect |
| 267. C13 | #11898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130696 | 2 |
| #13130075 | 2 |
| #13129831 | 2 |
| #13118195 | 2 |
| #11898 | 13 |