Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1462 conjugacy classes of subgroups; only the 272 normal subgroups are shown.
This group has 1462 conjugacy classes of subgroups — too many to draw. Only its 272 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 |
|---|---|---|
| 6. C2×C13×C4⋊Q8 | C4 | semidirect |
| 7. C2×#88198 | C4 | semidirect |
| 10. C2×#88142 | C4 | semidirect |
| 12. C2×#88123 | C4 | semidirect |
| 105. C2×C4⋊Q8 | #261 | semidirect |
| 182. C13 | #14663 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719061 | 2 |
| #13130026 | 2 |
| #13130025 | 2 |
| C2×D13×C4⋊Q8 | 2 |
| #14663 | 13 |