Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
290 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 59 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 9. C42×Dic5 | C4 | semidirect |
| 10. #65213 | C4 | semidirect |
| 12. C5×#353 | C4 | semidirect |
| 13. #64768 | C4 | semidirect |
| 84. #353 | Dic5 | semidirect |
| 217. C5 | #7497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2126 | 2 |
| #10602613 | 2 |
| #10602608 | 2 |
| #7497 | 5 |