Finite Group Databasebeta

← Group #484713

Character table — Group #484713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111224488881616161616161616161616161611112244888816161616161616161616161616
order12222244444424444448888882222224444442444444888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111-111-1-1-111-1-1-1-11111111111111-111-1-1-111-1-1-1-1
χ3111111111111-11-11111-1-1-1-1-1-1111111111111-11-11111-1-1-1-1-1-1
χ4111111111111-1-1-11-1-1-1-1-11111111111111111-1-1-11-1-1-1-1-11111
χ511111111-1-111111-1-11-1-1-111-1-111111111-1-111111-1-11-1-1-111-1-1
χ611111111-1-1111-11-11-11-1-1-1-11111111111-1-1111-11-11-11-1-1-1-111
χ711111111-1-111-11-1-1-11-111-1-11111111111-1-111-11-1-1-11-111-1-111
χ811111111-1-111-1-1-1-11-111111-1-111111111-1-111-1-1-1-11-111111-1-1
χ92222222222-2-2000-20000000002222222222-2-2000-2000000000
χ1022222222-2-2-2-2000200000000022222222-2-2-2-20002000000000
χ11222222-2-2002-2000020-2000000222222-2-2002-2000020-2000000
χ12222222-2-2002-20000-202000000222222-2-2002-20000-202000000
χ13222222-2-200-2202000-20000000222222-2-200-2202000-20000000
χ14222222-2-200-220-200020000000222222-2-200-220-200020000000
χ152-22-22-2-222-200000000000i2−i2i2−i22-22-22-2-222-200000000000i2−i2i2−i2
χ162-22-22-2-222-200000000000−i2i2−i2i22-22-22-2-222-200000000000−i2i2−i2i2
χ172-22-22-2-22-2200000000000i2−i2−i2i22-22-22-2-22-2200000000000i2−i2−i2i2
χ182-22-22-2-22-2200000000000−i2i2i2−i22-22-22-2-22-2200000000000−i2i2i2−i2
χ194444-4-400000020-200000000004444-4-400000020-20000000000
χ204444-4-4000000-20200000000004444-4-4000000-2020000000000
χ214-44-44-44-4000000000000000004-44-44-44-400000000000000000
χ224-44-4-4400000000000002i−2i00004-44-4-4400000000000002i−2i0000
χ234-44-4-440000000000000−2i2i00004-44-4-440000000000000−2i2i0000
χ2488-8-800000000000000000000088-8-8000000000000000000000
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
χ271111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111
χ28111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111
χ29111111111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1-1-1-1
χ3011111111-1-111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1111-1-111
χ3111111111-1-1111-11-11-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11-11-11111-1-1
χ3211111111-1-111-11-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-11-1111-11-1-111-1-1
χ3311111111-1-111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-1-1-111
χ342222222222-2-2000-2000000000-2-2-2-2-2-2-2-2-2-2220002000000000
χ3522222222-2-2-2-20002000000000-2-2-2-2-2-2-2-22222000-2000000000
χ36222222-2-2002-2000020-2000000-2-2-2-2-2-22200-220000-202000000
χ37222222-2-2002-20000-202000000-2-2-2-2-2-22200-22000020-2000000
χ38222222-2-200-2202000-20000000-2-2-2-2-2-222002-20-200020000000
χ39222222-2-200-220-200020000000-2-2-2-2-2-222002-202000-20000000
χ402-22-22-2-222-200000000000i2−i2i2−i2-22-22-222-2-2200000000000−i2i2−i2i2
χ412-22-22-2-222-200000000000−i2i2−i2i2-22-22-222-2-2200000000000i2−i2i2−i2
χ422-22-22-2-22-2200000000000i2−i2−i2i2-22-22-222-22-200000000000−i2i2i2−i2
χ432-22-22-2-22-2200000000000−i2i2i2−i2-22-22-222-22-200000000000i2−i2−i2i2
χ444444-4-400000020-20000000000-4-4-4-444000000-2020000000000
χ454444-4-4000000-2020000000000-4-4-4-44400000020-20000000000
χ464-44-44-44-400000000000000000-44-44-44-4400000000000000000
χ474-44-4-4400000000000002i−2i0000-44-444-40000000000000−2i2i0000
χ484-44-4-440000000000000−2i2i0000-44-444-400000000000002i−2i0000
χ4988-8-8000000000000000000000-8-888000000000000000000000
χ508-8-88000000000000000000000-888-8000000000000000000000

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