Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
290 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 3. C5×#1312 | C2 | semidirect |
| 4. #10597989 | C2 | semidirect |
| 5. #10597929 | C2 | semidirect |
| 36. #1312 | D5 | semidirect |
| 146. C5 | #11411 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10599845 | 2 |
| C82×D5 | 2 |
| C5×#1312 | 2 |
| #10597989 | 2 |
| #10597929 | 2 |
| #11411 | 5 |