Order 18688.
850 conjugacy classes of subgroups.
The subgroup lattice has 380 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. #17988346 | C4 | semidirect |
| 16. C4×C4⋊C4×C73 | C4 | semidirect |
| 17. C4×C4⋊C4×C73 | C4 | semidirect |
| 195. C73 | #10808 | semidirect |
| 201. C4×C4⋊C4 | Dic73 | semidirect |
| 202. 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×#17988346 | 2 |
| #22609625 | 2 |
| C4×#14556498 | 2 |
| C4×#117×C73 | 2 |
| #10808 | 73 |