Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
230 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 9. #11718260 | C4 | semidirect |
| 12. #11718253 | C4 | semidirect |
| 148. C13 | #7301 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131198 | 2 |
| #13130396 | 2 |
| #13114728 | 2 |
| #7301 | 13 |