Order 18688.
1402 conjugacy classes of subgroups.
The subgroup lattice has 388 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #22610145 | C2 | direct (N × H) |
| 19. C2×#14556510 | C4 | semidirect |
| 52. #14556510 | C2×C4 | semidirect |
| 190. C2×C73 | #1857 | semidirect |
| 200. C73 | C2×#1857 | semidirect |
| 383. C2 | #22610145 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989065 | 2 |
| C2×#17988627 | 2 |
| C22×#14556510 | 2 |
| #22610145 | 2 |
| C2×#17988347 | 2 |
| C2×#391×C73 | 2 |
| C2×#1857 | 73 |