Order 4864.
978 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. C2×#10597293 | C4 | semidirect |
| 149. C2×C4×C19 | #101 | semidirect |
| 257. C19 | #10963 | semidirect |
| 343. C2×C4 | #10597293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10597293 | 2 |
| C2×C4×#64520 | 2 |
| C2×#11926313 | 2 |
| #14563329 | 2 |
| C2×C19×#391 | 2 |
| #10963 | 19 |