Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 80 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. #13130789 | C2 | semidirect |
| 4. #13130788 | C2 | semidirect |
| 5. #13129719 | C2 | semidirect |
| 6. #13129719 | C2 | semidirect |
| 150. C22×D13 | #108 | semidirect |
| 347. C13 | #8859 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131691 | 2 |
| #13130816 | 2 |
| #13130789 | 2 |
| #13130788 | 2 |
| #13129719 | 2 |
| #13113153 | 2 |
| #8859 | 13 |