Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
622 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 622 conjugacy classes of subgroups — too many to draw. Only its 134 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 |
|---|---|---|
| 16. C13×#338 | C4 | semidirect |
| 17. #11718152 | C4 | semidirect |
| 18. #11718152 | C4 | semidirect |
| 151. #338 | #261 | semidirect |
| 257. C13 | #11294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131489 | 2 |
| #13130540 | 2 |
| C2×#11718272 | 2 |
| #13130498 | 2 |
| D13×#338 | 2 |
| #11294 | 13 |