Order 18688.
1646 conjugacy classes of subgroups.
The subgroup lattice has 394 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#17989461 | C2 | semidirect |
| 7. #17989529 | C4 | semidirect |
| 11. C23×#10596831 | C4 | semidirect |
| 14. C22×C8×D73 | C4 | semidirect |
| 16. C23×C8×C73 | C4 | semidirect |
| 89. C2×#10596831 | C22⋊C4 | semidirect |
| 102. C2×C8×C73 | C22⋊C4 | semidirect |
| 160. C22×C73 | #340 | semidirect |
| 172. C2×D73 | #340 | semidirect |
| 200. C73 | #10721 | semidirect |
| 207. C23×C8 | #64408 | semidirect |
| 295. C2×C8 | C22⋊#64408 | semidirect |
| 371. C22 | #17989461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989529 | 2 |
| C2×#17989461 | 2 |
| C23×C8×D73 | 2 |
| #10721 | 73 |