Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
790 conjugacy classes of subgroups; only the 248 normal subgroups are shown.
This group has 790 conjugacy classes of subgroups — too many to draw. Only its 248 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 |
|---|---|---|
| 31. C5×#95 | C8 | semidirect |
| 131. #95 | #170 | semidirect |
| 226. C5 | #11298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64918 | 2 |
| Dic5×#95 | 2 |
| #11298 | 5 |