Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#10598568 |
| Fitting | C2×C5×#99 ⋊ C4 |
| Sylow | C5 ⋊ C2×#1393 |
1154 conjugacy classes of subgroups.
| transitive degree | μt(G) = 80 |
74 conjugacy classes — view the full character table.
| maximal subgroup of | #72242761, AGL(1,𝔽5)×#1393, #72242770 |
| maximal normal subgroup of | #72242761, AGL(1,𝔽5)×#1393, #72242770 |
| maximal quotient of | #72242825 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1095848);