Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
178 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 8. C5×#366 | C4 | semidirect |
| 10. #64725 | C4 | semidirect |
| 12. #64719 | C4 | semidirect |
| 58. #366 | Dic5 | semidirect |
| 132. C5 | #7477 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2158 | 2 |
| C2×#64725 | 2 |
| C2×#64719 | 2 |
| #7477 | 5 |