Order 20224.
2430 conjugacy classes of subgroups.
The subgroup lattice has 380 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. Dic79⋊#95 | C2 | semidirect |
| 5. #23761626 | C2 | semidirect |
| 13. C22×C4×Dic79 | C4 | semidirect |
| 104. C22×C4×C79 | C4⋊C4 | semidirect |
| 180. Dic79 | #381 | semidirect |
| 197. C79 | #14685 | semidirect |
| 290. C22×C4 | Dic79⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×Dic79 | 2 |
| C2×#19098426 | 2 |
| C2×#19098421 | 2 |
| Dic79⋊#95 | 2 |
| #23761626 | 2 |
| #23761622 | 2 |
| C2×#381×C79 | 2 |
| #14685 | 79 |