Order 11008.
5134 conjugacy classes of subgroups.
The subgroup lattice has 350 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14583666 | C2 | semidirect |
| 2. #19143044 | C2 | semidirect |
| 3. #19143040 | C2 | semidirect |
| 4. C2×#14582863 | C2 | semidirect |
| 7. C2×#13063332 | C22 | semidirect |
| 8. C22×#10621877 | C22 | semidirect |
| 9. #14582866 | C22 | semidirect |
| 11. #14582863 | C22 | semidirect |
| 12. #14582863 | C22 | semidirect |
| 13. C2×C22⋊(C43⋊C8) | C22 | semidirect |
| 27. C2×#10621877 | C23 | semidirect |
| 28. C22×C43⋊C8 | C23 | semidirect |
| 30. C22⋊(C43⋊C8) | C23 | semidirect |
| 162. C22×C43 | #568 | semidirect |
| 198. C43 | #60064 | semidirect |
| 336. C22 | #14583666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583666 | 2 |
| #19143044 | 2 |
| #19143040 | 2 |
| C2×#14582863 | 2 |
| C23×#41×C43 | 2 |
| #60064 | 43 |