Order 18688.
604 conjugacy classes of subgroups.
The subgroup lattice has 372 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. #17988644 | C4 | semidirect |
| 8. #17988640 | C4 | semidirect |
| 12. #17988455 | C4 | semidirect |
| 16. C4×C4⋊Dic73 | C4 | semidirect |
| 24. C4×C4⋊C4×C73 | C4 | semidirect |
| 26. #376×C73 | C4 | semidirect |
| 190. C73 | #7945 | semidirect |
| 208. C4×C4⋊C4 | Dic73 | semidirect |
| 212. #376 | Dic73 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22618564 | 2 |
| #22612329 | 2 |
| #22607784 | 2 |
| C73×#2283 | 2 |
| #7945 | 73 |