Order 20224.
1302 conjugacy classes of subgroups.
The subgroup lattice has 350 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #23764362 | C2 | semidirect |
| 4. #23764353 | C2 | semidirect |
| 23. C2×C4⋊Q8×C79 | C4 | semidirect |
| 181. C79 | #21833 | semidirect |
| 186. C2×C4⋊Q8 | Dic79 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19098616 | 2 |
| #23765807 | 2 |
| #23764362 | 2 |
| #23764353 | 2 |
| #23763486 | 2 |
| C22×C4⋊Q8×C79 | 2 |
| #21833 | 79 |