Order 18688.
740 conjugacy classes of subgroups.
The subgroup lattice has 396 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22624819 | C2 | semidirect |
| 9. #17989603 | C4 | semidirect |
| 10. #17989590 | C4 | semidirect |
| 15. C4×#11924037 | C4 | semidirect |
| 17. C2×#14556646 | C4 | semidirect |
| 202. C73 | #8068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626607 | 2 |
| C2×C4×#11924037 | 2 |
| #22624819 | 2 |
| C4×#14556547 | 2 |
| #8068 | 73 |