Order 20224.
802 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 |
|---|---|---|
| 3. C2×#19098311 | C2 | semidirect |
| 4. C2×#19098310 | C2 | semidirect |
| 200. C79 | #8343 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19099120 | 2 |
| #23763380 | 2 |
| C2×#19098311 | 2 |
| C2×#19098310 | 2 |
| C79×#1797 | 2 |
| #8343 | 79 |