Order 11008.
1702 conjugacy classes of subgroups.
The subgroup lattice has 348 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #19143701 | C2 | semidirect |
| 2. #19143697 | C2 | semidirect |
| 3. #19143690 | C2 | semidirect |
| 4. Q8×#10621877 | C2 | semidirect |
| 8. #14583030 | C22 | semidirect |
| 9. #14583030 | C22 | semidirect |
| 10. Q8×C43⋊C8 | C22 | semidirect |
| 207. C43 | #60249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143701 | 2 |
| #19143697 | 2 |
| #19143690 | 2 |
| Q8×#10621877 | 2 |
| #19143233 | 2 |
| #19143228 | 2 |
| C2×C43×#533 | 2 |
| #60249 | 43 |