Order 15616.
666 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 |
|---|---|---|
| 11. #16839819 | C4 | semidirect |
| 12. #16839819 | C4 | semidirect |
| 14. C2×C4⋊#92418 | C4 | semidirect |
| 18. C2×#14519688 | C4 | semidirect |
| 211. C61 | #7930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839819 | 2 |
| #21443667 | 2 |
| C4×#117×C61 | 2 |
| #7930 | 61 |