Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
700 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 1. #13130563 | C2 | semidirect |
| 2. C2×#11718298 | C2 | semidirect |
| 4. #13130014 | C2 | semidirect |
| 7. C2×C13×#124 | C4 | semidirect |
| 15. #11718891 | C4 | semidirect |
| 16. #11718882 | C4 | semidirect |
| 21. #11718597 | C4 | semidirect |
| 196. C2×#124 | #261 | semidirect |
| 367. C13 | #9682 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130563 | 2 |
| C2×#11718298 | 2 |
| C2×#11718292 | 2 |
| #13130014 | 2 |
| #13123132 | 2 |
| #9682 | 13 |