Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 532 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. #13130780 | C2 | semidirect |
| 4. #13130779 | C2 | semidirect |
| 5. #13129679 | C2 | semidirect |
| 6. #13129679 | C2 | semidirect |
| 129. C13×C22⋊C4 | M16 | semidirect |
| 137. C22⋊Dic13 | M16 | semidirect |
| 386. C22⋊C4 | #6122 | semidirect |
| 393. C13 | #8852 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131687 | 2 |
| #13130809 | 2 |
| #13130780 | 2 |
| #13130779 | 2 |
| #13129679 | 2 |
| #99×Dic13 | 2 |
| #8852 | 13 |