Order 11008.
918 conjugacy classes of subgroups.
The subgroup lattice has 366 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. C2×C4×C43⋊C8 | C4 | semidirect |
| 13. #14582654 | C4 | semidirect |
| 51. #95×C43 | C8 | semidirect |
| 200. C43 | #10797 | semidirect |
| 234. #95 | C43⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×C43⋊C8 | 2 |
| C2×#14582654 | 2 |
| C4×#95×C43 | 2 |
| #10797 | 43 |