Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
386 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 102 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. #13129793 | C2 | semidirect |
| 4. #13129792 | C2 | semidirect |
| 29. Q16×D13 | C8 | semidirect |
| 239. C13 | #11594 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131043 | 2 |
| #13130386 | 2 |
| #13129793 | 2 |
| #13129792 | 2 |
| C4×Q16×D13 | 2 |
| #11594 | 13 |