Order 11008.
1638 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 |
|---|---|---|
| 2. C22×Dic43⋊C8 | C2 | semidirect |
| 4. #19134577 | C2 | direct (N × H) |
| 5. C2×#14582653 | C2 | semidirect |
| 16. C2×Dic43⋊C8 | C22 | semidirect |
| 19. #14582653 | C22 | semidirect |
| 178. C2×C43 | #1798 | semidirect |
| 201. C43 | C2×#1798 | semidirect |
| 349. C2 | #19134577 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063284 | 2 |
| C22×Dic43⋊C8 | 2 |
| C22×C22⋊(C43⋊C8) | 2 |
| #19134577 | 2 |
| C2×#14582653 | 2 |
| C22×C22⋊C8×C43 | 2 |
| C2×#1798 | 43 |