Order 1280.
1290 conjugacy classes of subgroups.
The subgroup lattice has 408 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×C42×Dic5 | C2 | semidirect |
| 4. C2×#64752 | C2 | semidirect |
| 5. #10602320 | C2 | semidirect |
| 12. C5×#391 | C4 | semidirect |
| 13. C5×#390 | C4 | semidirect |
| 18. C2×#3969 | C4 | semidirect |
| 81. C2×C5×Q8 | C42 | semidirect |
| 89. C2×C5×D4 | C42 | semidirect |
| 123. C4×Dic5 | C22⋊C4 | semidirect |
| 140. #391 | Dic5 | semidirect |
| 141. #390 | Dic5 | semidirect |
| 174. C2×C4×C5 | #104 | semidirect |
| 271. C2×Q8 | C4×Dic5 | semidirect |
| 279. C2×D4 | C4×Dic5 | semidirect |
| 359. C2×C4 | #3969 | semidirect |
| 377. C5 | #10923 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2297 | 2 |
| C22×#3969 | 2 |
| C2×C42×Dic5 | 2 |
| C2×#64752 | 2 |
| #10602320 | 2 |
| #10923 | 5 |