Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
254 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 254 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 |
|---|---|---|
| 9. C5×C4⋊C16 | C4 | semidirect |
| 13. C4⋊#672 | C4 | semidirect |
| 63. C4⋊C16 | Dic5 | semidirect |
| 160. C5 | #7150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2162 | 2 |
| #10600542 | 2 |
| #10600538 | 2 |
| #7150 | 5 |