Order 15616.
1702 conjugacy classes of subgroups.
The subgroup lattice has 348 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #21454925 | C2 | semidirect |
| 2. #21454921 | C2 | semidirect |
| 3. #21454914 | C2 | semidirect |
| 4. Q8×#11758194 | C2 | semidirect |
| 8. #16839893 | C22 | semidirect |
| 9. #16839893 | C22 | semidirect |
| 10. Q8×#92418 | C22 | semidirect |
| 207. C61 | #60249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454925 | 2 |
| #21454921 | 2 |
| #21454914 | 2 |
| Q8×#11758194 | 2 |
| #21454457 | 2 |
| #21454452 | 2 |
| C2×C61×#533 | 2 |
| #60249 | 61 |