Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 82 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. #13130720 | C2 | semidirect |
| 3. #13129927 | C2 | semidirect |
| 229. C13 | #12809 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131129 | 2 |
| #13130720 | 2 |
| #13129927 | 2 |
| #13123549 | 2 |
| #12809 | 13 |