Order 11008.
1510 conjugacy classes of subgroups.
The subgroup lattice has 394 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #19134671 | C2 | semidirect |
| 6. #19134326 | C2 | semidirect |
| 11. C2×#13063281 | C4 | semidirect |
| 12. C2×#13063281 | C4 | semidirect |
| 16. C22×Dic43⋊C4 | C4 | semidirect |
| 18. C22×C4×Dic43 | C4 | semidirect |
| 224. C43 | #20688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063281 | 2 |
| #19136973 | 2 |
| #19134671 | 2 |
| #19134669 | 2 |
| #19134667 | 2 |
| #19134326 | 2 |
| C43×#1819 | 2 |
| #20688 | 43 |