Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
810 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 810 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13116505 | C2 | semidirect |
| 2. C2×#11718137 | C2 | semidirect |
| 3. #13114944 | C2 | semidirect |
| 9. C13×#535 | C4 | semidirect |
| 11. C13×#533 | C4 | semidirect |
| 14. C13×#518 | C4 | semidirect |
| 16. C4×C13×#41 | C4 | semidirect |
| 163. #535 | Dic13 | semidirect |
| 165. #533 | Dic13 | semidirect |
| 168. #518 | Dic13 | semidirect |
| 170. C4×#41 | Dic13 | semidirect |
| 298. C13 | #12727 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116505 | 2 |
| C2×#11718137 | 2 |
| #13114944 | 2 |
| C13×#3508 | 2 |
| #12727 | 13 |