Finite Group Databasebeta

← Group #484237

Character table — Group #484237

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112244444488888888881616161616161616161111224444448888888888161616161616161616
order12222222444422444444444444488882222222244442244444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11-1-1-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-111-1-11-1-11111111111111111-1-1-1-1-1-1-1-111-1-11-1-11111
χ511111111-1-1-1-111-1-111-1-11111-1-1-111-1-111111111-1-1-1-111-1-111-1-11111-1-1-111-1-1
χ611111111-1-1-1-111-1-111-1-111-1-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-1-111-1-111
χ711111111-1-1-1-1-1-111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-111
χ811111111-1-1-1-1-1-111-1-11111-1-1-11111-1-111111111-1-1-1-1-1-111-1-11111-1-1-11111-1-1
χ922222222222200000000-2-200-200000022222222222200000000-2-200-2000000
χ1022222222-2-2-2-200000000-2-200200000022222222-2-2-2-200000000-2-2002000000
χ11222222-2-20000002200-2-22-2000000000222222-2-20000002200-2-22-2000000000
χ12222222-2-2000000-2-200222-2000000000222222-2-2000000-2-200222-2000000000
χ13222222-2-200002200-2-200-22000000000222222-2-200002200-2-200-22000000000
χ14222222-2-20000-2-2002200-22000000000222222-2-20000-2-2002200-22000000000
χ152-2-22-222-222-2-2000000000000000i2−i2i2−i22-2-22-222-222-2-2000000000000000i2−i2i2−i2
χ162-2-22-222-222-2-2000000000000000−i2i2−i2i22-2-22-222-222-2-2000000000000000−i2i2−i2i2
χ172-2-22-222-2-2-222000000000000000i2−i2−i2i22-2-22-222-2-2-222000000000000000i2−i2−i2i2
χ182-2-22-222-2-2-222000000000000000−i2i2i2−i22-2-22-222-2-2-222000000000000000−i2i2i2−i2
χ194444-4-400000000000000002-200000004444-4-400000000000000002-20000000
χ204444-4-40000000000000000-2200000004444-4-40000000000000000-220000000
χ2144-4-400002i−2i2i−2i002i−2i2-2000000000000044-4-400002i−2i2i−2i002i−2i2-20000000000000
χ2244-4-400002i−2i2i−2i00−2i2i-22000000000000044-4-400002i−2i2i−2i00−2i2i-220000000000000
χ2344-4-40000−2i2i−2i2i002i−2i-22000000000000044-4-40000−2i2i−2i2i002i−2i-220000000000000
χ2444-4-40000−2i2i−2i2i00−2i2i2-2000000000000044-4-40000−2i2i−2i2i00−2i2i2-20000000000000
χ254-44-400002i−2i−2i2i2-200002i−2i000000000004-44-400002i−2i−2i2i2-200002i−2i00000000000
χ264-44-400002i−2i−2i2i-220000−2i2i000000000004-44-400002i−2i−2i2i-220000−2i2i00000000000
χ274-44-40000−2i2i2i−2i2-20000−2i2i000000000004-44-40000−2i2i2i−2i2-20000−2i2i00000000000
χ284-44-40000−2i2i2i−2i-2200002i−2i000000000004-44-40000−2i2i2i−2i-2200002i−2i00000000000
χ294-4-444-400000000000000000002i−2i00004-4-444-400000000000000000002i−2i0000
χ304-4-444-40000000000000000000−2i2i00004-4-444-40000000000000000000−2i2i0000
χ314-4-44-44-44000000000000000000000004-4-44-44-4400000000000000000000000
χ321111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ331111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111
χ34111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111
χ35111111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-1-1-1-1
χ3611111111-1-1-1-111-1-111-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111-1-111
χ3711111111-1-1-1-111-1-111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-1-111-1-1
χ3811111111-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-1-1
χ3911111111-1-1-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-1-111
χ4022222222222200000000-2-200-2000000-2-2-2-2-2-2-2-2-2-2-2-20000000022002000000
χ4122222222-2-2-2-200000000-2-2002000000-2-2-2-2-2-2-2-22222000000002200-2000000
χ42222222-2-20000002200-2-22-2000000000-2-2-2-2-2-222000000-2-20022-22000000000
χ43222222-2-2000000-2-200222-2000000000-2-2-2-2-2-2220000002200-2-2-22000000000
χ44222222-2-200002200-2-200-22000000000-2-2-2-2-2-2220000-2-20022002-2000000000
χ45222222-2-20000-2-2002200-22000000000-2-2-2-2-2-22200002200-2-2002-2000000000
χ462-2-22-222-222-2-2000000000000000i2−i2i2−i2-222-22-2-22-2-222000000000000000−i2i2−i2i2
χ472-2-22-222-222-2-2000000000000000−i2i2−i2i2-222-22-2-22-2-222000000000000000i2−i2i2−i2
χ482-2-22-222-2-2-222000000000000000i2−i2−i2i2-222-22-2-2222-2-2000000000000000−i2i2i2−i2
χ492-2-22-222-2-2-222000000000000000−i2i2i2−i2-222-22-2-2222-2-2000000000000000i2−i2−i2i2
χ504444-4-400000000000000002-20000000-4-4-4-4440000000000000000-220000000
χ514444-4-40000000000000000-220000000-4-4-4-44400000000000000002-20000000
χ5244-4-400002i−2i2i−2i002i−2i2-20000000000000-4-4440000−2i2i−2i2i00−2i2i-220000000000000
χ5344-4-400002i−2i2i−2i00−2i2i-220000000000000-4-4440000−2i2i−2i2i002i−2i2-20000000000000
χ5444-4-40000−2i2i−2i2i002i−2i-220000000000000-4-44400002i−2i2i−2i00−2i2i2-20000000000000
χ5544-4-40000−2i2i−2i2i00−2i2i2-20000000000000-4-44400002i−2i2i−2i002i−2i-220000000000000
χ564-44-400002i−2i−2i2i2-200002i−2i00000000000-44-440000−2i2i2i−2i-220000−2i2i00000000000
χ574-44-400002i−2i−2i2i-220000−2i2i00000000000-44-440000−2i2i2i−2i2-200002i−2i00000000000
χ584-44-40000−2i2i2i−2i2-20000−2i2i00000000000-44-4400002i−2i−2i2i-2200002i−2i00000000000
χ594-44-40000−2i2i2i−2i-2200002i−2i00000000000-44-4400002i−2i−2i2i2-20000−2i2i00000000000
χ604-4-444-400000000000000000002i−2i0000-444-4-440000000000000000000−2i2i0000
χ614-4-444-40000000000000000000−2i2i0000-444-4-4400000000000000000002i−2i0000
χ624-4-44-44-4400000000000000000000000-444-44-44-400000000000000000000000

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