Order 18688.
850 conjugacy classes of subgroups.
The subgroup lattice has 364 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 8. #17988640 | C4 | semidirect |
| 13. C4×C4⋊Dic73 | C4 | semidirect |
| 17. #384×C73 | C4 | semidirect |
| 22. C4×C4⋊C4×C73 | C4 | semidirect |
| 186. C73 | #8014 | semidirect |
| 196. #384 | Dic73 | semidirect |
| 203. C4×C4⋊C4 | Dic73 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17988640 | 2 |
| C2×C4×C4⋊Dic73 | 2 |
| #22607809 | 2 |
| C73×#2285 | 2 |
| #8014 | 73 |