Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
358 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 96 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. C2×#11718224 | C2 | semidirect |
| 2. #13131187 | C2 | semidirect |
| 4. #13129917 | C2 | semidirect |
| 10. C13×#504 | C4 | semidirect |
| 11. #11718801 | C4 | semidirect |
| 13. #11718568 | C4 | semidirect |
| 17. #11718562 | C4 | semidirect |
| 146. #504 | #261 | semidirect |
| 257. C13 | #12841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718224 | 2 |
| #13131187 | 2 |
| #13130723 | 2 |
| #13129917 | 2 |
| D13×#504 | 2 |
| #12841 | 13 |