Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
286 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 50 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. C13×#382 | C4 | semidirect |
| 10. C2×C4×#1055 | C4 | semidirect |
| 12. #11718228 | C4 | semidirect |
| 14. #11718226 | C4 | semidirect |
| 112. #382 | #261 | semidirect |
| 198. C13 | #7502 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718228 | 2 |
| C2×#11718226 | 2 |
| #13115645 | 2 |
| #7502 | 13 |