Order 15616.
668 conjugacy classes of subgroups.
The subgroup lattice has 360 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21444610 | C2 | semidirect |
| 4. #21444605 | C2 | semidirect |
| 5. #21444565 | C2 | semidirect |
| 21. #16839514 | C22 | semidirect |
| 22. #16839512 | C22 | semidirect |
| 210. C61 | #17806 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839815 | 2 |
| #21444610 | 2 |
| #21444605 | 2 |
| #21444565 | 2 |
| C61×#2920 | 2 |
| #17806 | 61 |