Order 18688.
1422 conjugacy classes of subgroups.
The subgroup lattice has 414 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#17989462 | C2 | semidirect |
| 178. C22×C73 | #341 | semidirect |
| 188. C2×D73 | #341 | semidirect |
| 211. C73 | #10723 | semidirect |
| 396. C22 | #17989462 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#11924036 | 2 |
| D73⋊#407 | 2 |
| C2×#17989462 | 2 |
| #407×D73 | 2 |
| #10723 | 73 |