Order 15616.
1270 conjugacy classes of subgroups.
The subgroup lattice has 398 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21461992 | C2 | semidirect |
| 4. #21461990 | C2 | semidirect |
| 229. C61 | #21820 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840782 | 2 |
| C2×#16840778 | 2 |
| #21461992 | 2 |
| #21461990 | 2 |
| #21461710 | 2 |
| #21461709 | 2 |
| C22×#14519742 | 2 |
| #21820 | 61 |