Order 18688.
2586 conjugacy classes of subgroups.
The subgroup lattice has 384 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #22626593 | C2 | semidirect |
| 3. #22626592 | C2 | semidirect |
| 4. D73⋊#430 | C2 | semidirect |
| 5. C2×D73⋊#108 | C2 | semidirect |
| 12. #17989602 | C22 | semidirect |
| 13. C2×#14556662 | C22 | semidirect |
| 16. D73⋊#108 | C22 | semidirect |
| 17. D73⋊#108 | C22 | semidirect |
| 18. C2×#14556661 | C22 | semidirect |
| 191. D73 | #2916 | semidirect |
| 198. C73 | C2×#2916 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D73⋊#568 | 2 |
| #22626593 | 2 |
| #22626592 | 2 |
| D73⋊#430 | 2 |
| C2×D73⋊#108 | 2 |
| C2×#131×D73 | 2 |
| C2×#2916 | 73 |