Order 11008.
590 conjugacy classes of subgroups.
The subgroup lattice has 364 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #19132461 | C2 | semidirect |
| 7. #14582952 | C4 | semidirect |
| 8. #14582952 | C4 | semidirect |
| 20. C43×#432 | C4 | semidirect |
| 26. C4×M16×C43 | C4 | semidirect |
| 34. C4×C43⋊C8 | C2×C4 | semidirect |
| 61. #97×C43 | C2×C4 | semidirect |
| 189. #432 | Dic43 | semidirect |
| 200. C4×M16 | Dic43 | semidirect |
| 208. C43 | #7975 | semidirect |
| 236. #97 | C2×Dic43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143228 | 2 |
| C2×#14582767 | 2 |
| #19132461 | 2 |
| C43×#2920 | 2 |
| #7975 | 43 |