Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| isoclinism | isoclinic class of AGL(1,𝔽5) |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C8 · Schur multiplier (H2) = C29×C4 |
| direct product | C22×C4×D5⋊C8 |
| derived, Sylow | C5 ⋊ C23×C4×C8 |
4638 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
320 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1114644);