Order 11008.
1742 conjugacy classes of subgroups.
The subgroup lattice has 356 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 14. #14582765 | C4 | semidirect |
| 19. C42×Dic43 | C4 | semidirect |
| 22. C43×#382 | C4 | semidirect |
| 93. C42×C43 | C42 | semidirect |
| 168. Dic43 | #382 | direct (N × H) |
| 194. #382 | Dic43 | direct (N × H) |
| 201. C43 | C4×#382 | semidirect |
| 277. C42 | C4×Dic43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582765 | 2 |
| C2×C4⋊C4×Dic43 | 2 |
| C2×C42×Dic43 | 2 |
| #19132824 | 2 |
| #19132820 | 2 |
| #95×Dic43 | 2 |
| C2×C43×#382 | 2 |
| C4×#382 | 43 |