Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
482 conjugacy classes of subgroups.
The subgroup lattice has 334 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21443700 | C2 | semidirect |
| 4. #21443700 | C2 | semidirect |
| 189. C61 | #8720 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21445581 | 2 |
| #21443700 | 2 |
| C61×#2283 | 2 |
| #8720 | 61 |