Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
140 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 7. C2×Dic40 | C4 | semidirect |
| 8. #64725 | C4 | semidirect |
| 118. C5 | #7423 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10602240 | 2 |
| C5×#1384 | 2 |
| #10598300 | 2 |
| #7423 | 5 |