Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
288 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 2. #10600657 | C2 | semidirect |
| 3. #10598210 | C2 | semidirect |
| 188. C5 | #11524 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2922 | 2 |
| #10600657 | 2 |
| #10598210 | 2 |
| #10598181 | 2 |
| #11524 | 5 |