Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
212 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 2. #13130483 | C2 | semidirect |
| 3. #13129860 | C2 | semidirect |
| 4. #13129796 | C2 | semidirect |
| 6. #13129753 | C2 | semidirect |
| 66. C13×C16 | M16 | semidirect |
| 168. C16 | #6122 | semidirect |
| 169. C13 | #12087 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130486 | 2 |
| #13130483 | 2 |
| #13129860 | 2 |
| #13129796 | 2 |
| #13129794 | 2 |
| #13129753 | 2 |
| #13116701 | 2 |
| #12087 | 13 |