Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
366 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 98 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. D13⋊#368 | C2 | semidirect |
| 2. C2×#11718221 | C2 | semidirect |
| 4. #13129911 | C2 | semidirect |
| 10. C13×#504 | C4 | semidirect |
| 11. #11718801 | C4 | semidirect |
| 13. #11718568 | C4 | semidirect |
| 17. #11718562 | C4 | semidirect |
| 147. #504 | #261 | semidirect |
| 261. C13 | #12842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#368 | 2 |
| C2×#11718221 | 2 |
| #13130725 | 2 |
| #13129911 | 2 |
| D13×#504 | 2 |
| #12842 | 13 |