Order 4864.
614 conjugacy classes of subgroups.
The subgroup lattice has 360 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14561479 | C2 | semidirect |
| 110. C2×C19⋊C8 | M16 | semidirect |
| 243. C19 | #7920 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572268 | 2 |
| C2×C4×#64520 | 2 |
| #14561479 | 2 |
| C19×#2920 | 2 |
| #7920 | 19 |