Order 15616.
588 conjugacy classes of subgroups.
The subgroup lattice has 370 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21443716 | C2 | semidirect |
| 211. C61 | #8081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454452 | 2 |
| C2×#16839786 | 2 |
| #21443716 | 2 |
| C2×C61×#431 | 2 |
| #8081 | 61 |