Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
290 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 7. C2×#88110 | C4 | semidirect |
| 8. C2×C4×#1057 | C4 | semidirect |
| 12. #11718286 | C4 | semidirect |
| 205. C13 | #7214 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130566 | 2 |
| #13130088 | 2 |
| #13114912 | 2 |
| #7214 | 13 |