Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
416 conjugacy classes of subgroups.
The subgroup lattice has 322 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21443906 | C2 | semidirect |
| 4. #21443904 | C2 | semidirect |
| 183. C61 | #12851 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454237 | 2 |
| C2×#16839544 | 2 |
| #21443906 | 2 |
| #21443904 | 2 |
| C2×C61×#349 | 2 |
| #12851 | 61 |