Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
518 conjugacy classes of subgroups; only the 291 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 291 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 |
|---|---|---|
| 12. C82×C13 | C4 | semidirect |
| 14. #11718047 | C4 | semidirect |
| 15. #11718046 | C4 | semidirect |
| 75. C82 | Dic13 | semidirect |
| 118. C13 | #7844 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114581 | 2 |
| C4×#88055 | 2 |
| C2×#11718046 | 2 |
| C2×#11718047 | 2 |
| C2×C82×C13 | 2 |
| #7844 | 13 |