Order 18688.
606 conjugacy classes of subgroups.
The subgroup lattice has 406 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22624829 | C2 | semidirect |
| 6. #17989608 | C4 | semidirect |
| 8. #17989607 | C4 | semidirect |
| 12. #17989603 | C4 | semidirect |
| 13. #17989590 | C4 | semidirect |
| 207. C73 | #8094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626607 | 2 |
| #22624829 | 2 |
| #22612333 | 2 |
| #8094 | 73 |