Finite Group Databasebeta

← Group #484239

Character table — Group #484239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111224488881616161616161616161616161611112244888816161616161616161616161616
order12222222224424444444488882222222222442444444448888
χ111111111111111111111111111111111111111111111111111
χ211111111111111-1-1111-1-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-1
χ3111111111111-1-1111-1-111-1-1-1-1111111111111-1-1111-1-111-1-1-1-1
χ4111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-11-1-1-1-11111
χ511111111-1-1111-111-11-1-1-111-1-111111111-1-1111-111-11-1-1-111-1-1
χ611111111-1-1111-1-1-1-11-111-1-11111111111-1-1111-1-1-1-11-111-1-111
χ711111111-1-111-1111-1-11-1-1-1-11111111111-1-111-1111-1-11-1-1-1-111
χ811111111-1-111-11-1-1-1-111111-1-111111111-1-111-11-1-1-1-111111-1-1
χ92222222222-2-20000-2000000002222222222-2-20000-200000000
χ1022222222-2-2-2-2000020000000022222222-2-2-2-20000200000000
χ11222222-2-2002-2020000-2000000222222-2-2002-2020000-2000000
χ12222222-2-2002-20-200002000000222222-2-2002-20-200002000000
χ13222222-2-200-2220000-20000000222222-2-200-2220000-20000000
χ14222222-2-200-22-2000020000000222222-2-200-22-2000020000000
χ1522-2-2-222-22-200000000000i2−i2i2−i222-2-2-222-22-200000000000i2−i2i2−i2
χ1622-2-2-222-22-200000000000−i2i2−i2i222-2-2-222-22-200000000000−i2i2−i2i2
χ1722-2-2-222-2-2200000000000i2−i2−i2i222-2-2-222-2-2200000000000i2−i2−i2i2
χ1822-2-2-222-2-2200000000000−i2i2i2−i222-2-2-222-2-2200000000000−i2i2i2−i2
χ194444-4-4000000002-20000000004444-4-4000000002-2000000000
χ204444-4-400000000-220000000004444-4-400000000-22000000000
χ2144-4-44-400000000000002i−2i000044-4-44-400000000000002i−2i0000
χ2244-4-44-40000000000000−2i2i000044-4-44-40000000000000−2i2i0000
χ2344-4-4-44-440000000000000000044-4-4-44-4400000000000000000
χ248-88-80000000000000000000008-88-8000000000000000000000
χ258-8-880000000000000000000008-8-88000000000000000000000
χ261111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2711111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ28111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111
χ29111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1
χ3011111111-1-1111-111-11-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11-1111-1-111
χ3111111111-1-1111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-1-11111-11-1-111-1-1
χ3211111111-1-111-1111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-111-11111-1-1
χ3311111111-1-111-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-111
χ342222222222-2-20000-200000000-2-2-2-2-2-2-2-2-2-2220000200000000
χ3522222222-2-2-2-20000200000000-2-2-2-2-2-2-2-222220000-200000000
χ36222222-2-2002-2020000-2000000-2-2-2-2-2-22200-220-200002000000
χ37222222-2-2002-20-200002000000-2-2-2-2-2-22200-22020000-2000000
χ38222222-2-200-2220000-20000000-2-2-2-2-2-222002-2-2000020000000
χ39222222-2-200-22-2000020000000-2-2-2-2-2-222002-220000-20000000
χ4022-2-2-222-22-200000000000i2−i2i2−i2-2-2222-2-22-2200000000000−i2i2−i2i2
χ4122-2-2-222-22-200000000000−i2i2−i2i2-2-2222-2-22-2200000000000i2−i2i2−i2
χ4222-2-2-222-2-2200000000000i2−i2−i2i2-2-2222-2-222-200000000000−i2i2i2−i2
χ4322-2-2-222-2-2200000000000−i2i2i2−i2-2-2222-2-222-200000000000i2−i2−i2i2
χ444444-4-4000000002-2000000000-4-4-4-44400000000-22000000000
χ454444-4-400000000-22000000000-4-4-4-444000000002-2000000000
χ4644-4-44-400000000000002i−2i0000-4-444-440000000000000−2i2i0000
χ4744-4-44-40000000000000−2i2i0000-4-444-4400000000000002i−2i0000
χ4844-4-4-44-4400000000000000000-4-4444-44-400000000000000000
χ498-88-8000000000000000000000-88-88000000000000000000000
χ508-8-88000000000000000000000-888-8000000000000000000000

Here i is the imaginary unit (i² = −1).