Order 1280.
788 conjugacy classes of subgroups.
The subgroup lattice has 384 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 9. C4×C5×C4⋊C4 | C4 | semidirect |
| 12. C5×#376 | C4 | semidirect |
| 18. C4×C4⋊Dic5 | C4 | semidirect |
| 19. #65221 | C4 | semidirect |
| 25. #65213 | C4 | semidirect |
| 26. C4×#681 | C4 | semidirect |
| 135. C4×C4⋊C4 | Dic5 | semidirect |
| 141. #376 | Dic5 | semidirect |
| 351. C5 | #8048 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C5×#117 | 2 |
| C4×#4072 | 2 |
| #10613780 | 2 |
| #10598109 | 2 |
| #8048 | 5 |