Finite Group Databasebeta

← Group #498921

Character table — Group #498921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112244444488888888881616161616161616161111224444448888888888161616161616161616
order12222222224422444444444444444882222222222442244444444444444488
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-11-111-1-1-1-1111111111111111111-1-1-1-1-11-111-1-1-1-1
χ311111111111111-1-11111-1-1-1-11-1-111-1-111111111111111-1-11111-1-1-1-11-1-111-1-1
χ411111111111111-1-111-1-1111-1-1-1-1-1-11111111111111111-1-111-1-1111-1-1-1-1-1-111
χ5111111111111-1-111-1-11111111-1-1-1-1-1-1111111111111-1-111-1-11111111-1-1-1-1-1-1
χ6111111111111-1-111-1-1-1-1-1-1-11-1-1-11111111111111111-1-111-1-1-1-1-1-1-11-1-1-11111
χ7111111111111-1-1-1-1-1-111-1-1-1-1111-1-111111111111111-1-1-1-1-1-111-1-1-1-1111-1-111
χ8111111111111-1-1-1-1-1-1-1-1111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1111-1-11111-1-1
χ92222222-22-2-2-2000000220000-20000002222222-22-2-2-2000000220000-2000000
χ102222222-22-2-2-2000000-2-2000020000002222222-22-2-2-2000000-2-200002000000
χ11222222-22-22-2-200220000000-20000000222222-22-22-2-200220000000-20000000
χ12222222-22-22-2-200-2-2000000020000000222222-22-22-2-200-2-2000000020000000
χ13222222-2-2-2-2220000000022-200000000222222-2-2-2-2220000000022-200000000
χ14222222-2-2-2-22200000000-2-2200000000222222-2-2-2-22200000000-2-2200000000
χ152-2-22-2222-2-22-200000000000002i−2i00002-2-22-2222-2-22-200000000000002i−2i0000
χ162-2-22-2222-2-22-20000000000000−2i2i00002-2-22-2222-2-22-20000000000000−2i2i0000
χ172-2-22-222-2-22-22000000000000000002-22-2-22-222-2-22-22000000000000000002-2
χ182-2-22-222-2-22-2200000000000000000-222-2-22-222-2-22-2200000000000000000-22
χ192-2-22-22-222-2-222-2002-200000000000002-2-22-22-222-2-222-2002-20000000000000
χ202-2-22-22-222-2-22-2200-2200000000000002-2-22-22-222-2-22-2200-220000000000000
χ212-2-22-22-2-2222-20000000000000002-2002-2-22-22-2-2222-20000000000000002-200
χ222-2-22-22-2-2222-2000000000000000-22002-2-22-22-2-2222-2000000000000000-2200
χ234444-4-40000002200-2-200000000000004444-4-40000002200-2-20000000000000
χ244444-4-4000000-2-2002200000000000004444-4-4000000-2-200220000000000000
χ254-44-400000000002-2002i−2i2i−2i0000000004-44-400000000002-2002i−2i2i−2i000000000
χ264-44-400000000002-200−2i2i−2i2i0000000004-44-400000000002-200−2i2i−2i2i000000000
χ274-44-40000000000-22002i−2i−2i2i0000000004-44-40000000000-22002i−2i−2i2i000000000
χ284-44-40000000000-2200−2i2i2i−2i0000000004-44-40000000000-2200−2i2i2i−2i000000000
χ294-4-444-40000002-200-2200000000000004-4-444-40000002-200-220000000000000
χ304-4-444-4000000-22002-200000000000004-4-444-4000000-22002-20000000000000
χ3188-8-800000000000000000000000000088-8-8000000000000000000000000000
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
χ33111111111111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-11111
χ3411111111111111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111
χ3511111111111111-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-1
χ36111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111111
χ37111111111111-1-111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1111-1-1-1-1
χ38111111111111-1-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-111-1-1
χ39111111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-111
χ402222222-22-2-2-2000000220000-2000000-2-2-2-2-2-2-22-2222000000-2-200002000000
χ412222222-22-2-2-2000000-2-200002000000-2-2-2-2-2-2-22-2222000000220000-2000000
χ42222222-22-22-2-200220000000-20000000-2-2-2-2-2-22-22-22200-2-2000000020000000
χ43222222-22-22-2-200-2-2000000020000000-2-2-2-2-2-22-22-22200220000000-20000000
χ44222222-2-2-2-2220000000022-200000000-2-2-2-2-2-22222-2-200000000-2-2200000000
χ45222222-2-2-2-22200000000-2-2200000000-2-2-2-2-2-22222-2-20000000022-200000000
χ462-2-22-2222-2-22-200000000000002i−2i0000-222-22-2-2-222-220000000000000−2i2i0000
χ472-2-22-2222-2-22-20000000000000−2i2i0000-222-22-2-2-222-2200000000000002i−2i0000
χ482-2-22-222-2-22-22000000000000000002-2-222-22-2-222-22-200000000000000000-22
χ492-2-22-222-2-22-2200000000000000000-22-222-22-2-222-22-2000000000000000002-2
χ502-2-22-22-222-2-222-2002-20000000000000-222-22-22-2-222-2-2200-220000000000000
χ512-2-22-22-222-2-22-2200-220000000000000-222-22-22-2-222-22-2002-20000000000000
χ522-2-22-22-2-2222-20000000000000002-200-222-22-222-2-2-22000000000000000-2200
χ532-2-22-22-2-2222-2000000000000000-2200-222-22-222-2-2-220000000000000002-200
χ544444-4-40000002200-2-20000000000000-4-4-4-444000000-2-200220000000000000
χ554444-4-4000000-2-200220000000000000-4-4-4-4440000002200-2-20000000000000
χ564-44-400000000002-2002i−2i2i−2i000000000-44-440000000000-2200−2i2i−2i2i000000000
χ574-44-400000000002-200−2i2i−2i2i000000000-44-440000000000-22002i−2i2i−2i000000000
χ584-44-40000000000-22002i−2i−2i2i000000000-44-4400000000002-200−2i2i2i−2i000000000
χ594-44-40000000000-2200−2i2i2i−2i000000000-44-4400000000002-2002i−2i−2i2i000000000
χ604-4-444-40000002-200-220000000000000-444-4-44000000-22002-20000000000000
χ614-4-444-4000000-22002-20000000000000-444-4-440000002-200-220000000000000
χ6288-8-8000000000000000000000000000-8-888000000000000000000000000000

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