Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
512 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 124 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. #13131729 | C2 | semidirect |
| 2. #13130138 | C2 | semidirect |
| 5. #13129676 | C2 | semidirect |
| 6. #13129662 | C2 | semidirect |
| 32. C2×C13×SD16 | C8 | semidirect |
| 209. C2×SD16 | #1057 | semidirect |
| 298. C13 | #9090 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131729 | 2 |
| #13130138 | 2 |
| #13130135 | 2 |
| #13130076 | 2 |
| #13129676 | 2 |
| #13129662 | 2 |
| C2×#11718825 | 2 |
| #9090 | 13 |