Finite Group Databasebeta

← Group #504668

Character table — Group #504668

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444888888888888888888161616161616161616161616161616163232
order12222244448888888888244444444416161616161616164444448888881616161644
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ511111111111111111111-1-1-11111-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ911111111111111-1-1-1-1111-1-111111-1-11111-1-1-1-11111-1-1-11-1-1-1-111-1-1-11
χ1011111111111111-1-1-1-1111-1-111111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-1111-1
χ1111111111111111-1-1-1-1111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-11111111-1-11-1
χ1211111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1111-1-1-1-111-11
χ1311111111111111-1-1-1-111-1111111-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1111-1
χ1411111111111111-1-1-1-111-1111111-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-1-11
χ1511111111111111-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-11111-1-111-11
χ1611111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1-111-1-11-1
χ172222222222-2-2-2-22222-2-222200002-2-200000000000000-2-20000000000
χ182222222222-2-2-2-22222-2-2-2-2-20000-2-2-200000000000000220000000000
χ192222222222-2-2-2-2-2-2-2-2-2-22-2-20000222000000000000002-20000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2220000-22200000000000000-220000000000
χ212222-2-22-22-222220000-2-200022-2-200022-2-20000002-200000000000000
χ222222-2-22-22-222220000-2-200022-2-2000-2-222000000-2200000000000000
χ232222-2-22-22-222220000-2-2000-2-22200022-2-2000000-2200000000000000
χ242222-2-22-22-222220000-2-2000-2-222000-2-2220000002-200000000000000
χ252222-2-2-22-22000022-2-20022-20000-2002−22−222−2−20000000000002−22−200
χ262222-2-2-22-22000022-2-20022-20000-200−22−22−2−222000000000000−22−2200
χ272222-2-2-22-22000022-2-200-2-2200002002−22−222−2−2000000000000−22−2200
χ282222-2-2-22-22000022-2-200-2-220000200−22−22−2−2220000000000002−22−200
χ292222-2-2-22-220000-2-222002-220000-2002−22−2−2−2220000000000002−2−2200
χ302222-2-2-22-220000-2-222002-220000-200−22−2222−2−2000000000000−222−200
χ312222-2-2-22-220000-2-22200-22-200002002−22−2−2−222000000000000−222−200
χ322222-2-2-22-220000-2-22200-22-20000200−22−2222−2−20000000000002−2−2200
χ332-2-222-2-2-22222-2-22i−2i2i−2i-22000000002i−2i000000002i−2i002-2000000000000
χ342-2-222-2-2-22222-2-22i−2i2i−2i-22000000002i−2i00000000−2i2i00-22000000000000
χ352-2-222-2-2-22222-2-2−2i2i−2i2i-2200000000−2i2i000000002i−2i00-22000000000000
χ362-2-222-2-2-22222-2-2−2i2i−2i2i-2200000000−2i2i00000000−2i2i002-2000000000000
χ372-2-222-2-2-222-2-2222i−2i2i−2i2-20002i−2i2i−2i0−2i2i00000000000000002-200000000
χ382-2-222-2-2-222-2-2222i−2i2i−2i2-2000−2i2i−2i2i0−2i2i0000000000000000-2200000000
χ392-2-222-2-2-222-2-222−2i2i−2i2i2-20002i−2i2i−2i02i−2i0000000000000000-2200000000
χ402-2-222-2-2-222-2-222−2i2i−2i2i2-2000−2i2i−2i2i02i−2i00000000000000002-200000000
χ412-2-22-22-222-2-2-2220000-220002i−2i−2i2i00000002-22-200000000002i−2i000000
χ422-2-22-22-222-2-2-2220000-220002i−2i−2i2i0000000-22-220000000000−2i2i000000
χ432-2-22-22-222-2-2-2220000-22000−2i2i2i−2i00000002-22-20000000000−2i2i000000
χ442-2-22-22-222-2-2-2220000-22000−2i2i2i−2i0000000-22-2200000000002i−2i000000
χ45444444-4-4-4-40000000000000000000022−22−22220000000000000000000000
χ46444444-4-4-4-400000000000000000000−222222−220000000000000000000000
χ474444-4-44-44-4-4-4-4-4000044000000000000000000000000000000000000
χ484-4-444-444-4-400000000000000000000000022−22−2222000000000000000000
χ494-4-444-444-4-4000000000000000000000000−222222−22000000000000000000
χ504-4-44-444-4-4400004i−4i−4i4i00000000000000000000000000000000000000
χ514-4-44-444-4-440000−4i4i4i−4i00000000000000000000000000000000000000
χ524-4-44-44-444-444-4-400004-4000000000000000000000000000000000000
χ5388-8-800000042−4242−42000000000000000000000000000000000000000000
χ5488-8-8000000−4242−4242000000000000000000000000000000000000000000
χ558-88-800000042−42−4242000000000000000000000000000000000000000000
χ568-88-8000000−424242−42000000000000000000000000000000000000000000

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