Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
794 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 794 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 10. C13×#384 | C4 | semidirect |
| 12. #11718638 | C4 | semidirect |
| 14. #11718596 | C4 | semidirect |
| 125. #384 | #261 | semidirect |
| 222. C13 | #11370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718247 | 2 |
| #13130500 | 2 |
| C4×(C2×#261)⋊C4 | 2 |
| #13117241 | 2 |
| #11370 | 13 |