Order 18688.
1238 conjugacy classes of subgroups.
The subgroup lattice has 374 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22610891 | C2 | semidirect |
| 4. #22610732 | C2 | semidirect |
| 6. C4×#14556514 | C2 | semidirect |
| 10. #17989144 | C4 | semidirect |
| 138. C2×C4×C73 | #103 | semidirect |
| 194. C73 | #21400 | semidirect |
| 332. C2×C4 | #14556514 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989144 | 2 |
| C22×C4×#10596831 | 2 |
| #22610891 | 2 |
| #22610732 | 2 |
| #22610352 | 2 |
| C4×#14556514 | 2 |
| C73×#2285 | 2 |
| #21400 | 73 |