Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
342 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 59 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. C5×#2047 | C2 | semidirect |
| 3. #10602857 | C2 | semidirect |
| 5. #10598209 | C2 | semidirect |
| 6. #10597979 | C2 | semidirect |
| 68. #2047 | D5 | semidirect |
| 297. C5 | #12169 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610828 | 2 |
| C5×#2047 | 2 |
| #10602857 | 2 |
| #10602856 | 2 |
| #10598209 | 2 |
| #10597979 | 2 |
| #10597978 | 2 |
| #12169 | 5 |