Order 18688.
998 conjugacy classes of subgroups.
The subgroup lattice has 362 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. C2×C4⋊#10596831 | C4 | semidirect |
| 12. C4×C4⋊Dic73 | C4 | semidirect |
| 18. #382×C73 | C4 | semidirect |
| 185. C73 | #10850 | semidirect |
| 195. #382 | Dic73 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊#10596831 | 2 |
| C2×C4×C4⋊Dic73 | 2 |
| C2×#17988349 | 2 |
| C2×#382×C73 | 2 |
| #10850 | 73 |