Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
200 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 98. C4×C5 | Q64 | semidirect |
| 137. C5 | #13688 | semidirect |
| 143. C4 | #64742 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2247 | 2 |
| C2×#64742 | 2 |
| C4×Dic40 | 2 |
| #10598317 | 2 |
| C4⋊#3926 | 2 |
| #13688 | 5 |