Order 11008.
562 conjugacy classes of subgroups.
The subgroup lattice has 362 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. #14582956 | C4 | semidirect |
| 8. #14582952 | C4 | semidirect |
| 24. C43×#423 | C4 | semidirect |
| 26. C4×M16×C43 | C4 | semidirect |
| 195. #423 | Dic43 | semidirect |
| 199. C4×M16 | Dic43 | semidirect |
| 207. C43 | #8110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143228 | 2 |
| #19136993 | 2 |
| #19132500 | 2 |
| C43×#2920 | 2 |
| #8110 | 43 |