Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 3. #13130389 | C2 | semidirect |
| 4. #13130387 | C2 | semidirect |
| 5. #13129669 | C2 | semidirect |
| 6. #13129669 | C2 | semidirect |
| 97. C13×M16 | M16 | semidirect |
| 111. #6099 | M16 | semidirect |
| 268. M16 | #6122 | semidirect |
| 290. C13 | #8837 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131698 | 2 |
| #13130957 | 2 |
| #13130389 | 2 |
| #13130387 | 2 |
| #13129669 | 2 |
| #100×Dic13 | 2 |
| #8837 | 13 |