Finite Group Databasebeta

← Group #242467

Character table — Group #242467

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222222244444444444444444444444444888888888888888888888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111
χ911111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111
χ1111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ1211111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ1311111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ1411111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1
χ1511111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1611111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ17222222222222222222-2-22-22-2-2-2-2-2-2-200000000000022220000-2-2-2-200000000000000000000
χ18222222222222222222-2-22-22-2-2-2-2-2-2-2000000000000-2-2-2-20000222200000000000000000000
χ19222222222222-2-2-2-2-2-222-22-22-2-2-2-22222-2-222-2-2000000000000000000000000000000000000
χ20222222222222-2-2-2-2-2-222-22-22-2-2-2-222-2-222-2-222000000000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-200000000000000000000000000000000000000002i−2i2i−2i
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000−2i2i−2i2i
χ2322222222-2-2-2-222-2-2-2-2-2-22-22-2-2-2222200000000000022-2-20000-2-22200000000000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-22-22-2-2-22222000000000000-2-222000022-2-200000000000000000000
χ2522222222-2-2-2-2-2-2222222-22-22-2-222-2-222-2-2-2-222000000000000000000000000000000000000
χ2622222222-2-2-2-2-2-2222222-22-22-2-222-2-2-2-22222-2-2000000000000000000000000000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-22200000000000000000000000000000000000000002i−2i−2i2i
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000−2i2i2i−2i
χ292222-2-2-2-222-2-22-222-2-20020-200000000000000022−2−22-22-222−2−2000022−2−222−2−2000000000000
χ302222-2-2-2-222-2-22-222-2-20020-200000000000000022−2−2-22-2222−2−20000−2−222−2−222000000000000
χ312222-2-2-2-222-2-22-222-2-20020-2000000000000000−2−2222-22-2−2−2220000−2−222−2−222000000000000
χ322222-2-2-2-222-2-22-222-2-20020-2000000000000000−2−222-22-22−2−222000022−2−222−2−2000000000000
χ332222-2-2-2-2-2-2222-2-2-2220020-200000000000000022−2−22-2-22−2−222000022−2−2−2−222000000000000
χ342222-2-2-2-2-2-2222-2-2-2220020-200000000000000022−2−2-222-2−2−2220000−2−22222−2−2000000000000
χ352222-2-2-2-2-2-2222-2-2-2220020-2000000000000000−2−2222-2-2222−2−20000−2−22222−2−2000000000000
χ362222-2-2-2-2-2-2222-2-2-2220020-2000000000000000−2−222-222-222−2−2000022−2−2−2−222000000000000
χ372-2-222-2-222-22-2222-22-222-2-2-2-22-22-22-20000000000000000000000000000000000002-22-20000
χ382-2-222-2-222-22-2222-22-222-2-2-2-22-22-22-2000000000000000000000000000000000000-22-220000
χ392-2-222-2-222-22-2222-22-2-2-2-22-22-22-22-22000000000000000000000000000000002i−2i2i−2i00000000
χ402-2-222-2-222-22-2222-22-2-2-2-22-22-22-22-2200000000000000000000000000000000−2i2i−2i2i00000000
χ412-2-222-2-222-22-2-2-2-22-22222-22-2-22-222-20000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ422-2-222-2-222-22-2-2-2-22-22222-22-2-22-222-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ432-2-222-2-222-22-2-2-2-22-22-2-222222-22-2-22000000002-22-200002-22-2000000000000000000000000
χ442-2-222-2-222-22-2-2-2-22-22-2-222222-22-2-2200000000-22-220000-22-22000000000000000000000000
χ452-2-222-2-22-22-2222-22-2222-2-2-2-22-2-22-220000000000000000000000000000000000002-2-220000
χ462-2-222-2-22-22-2222-22-2222-2-2-2-22-2-22-22000000000000000000000000000000000000-222-20000
χ472-2-222-2-22-22-2222-22-22-2-2-22-22-222-22-2000000000000000000000000000000002i−2i−2i2i00000000
χ482-2-222-2-22-22-2222-22-22-2-2-22-22-222-22-200000000000000000000000000000000−2i2i2i−2i00000000
χ492-2-222-2-22-22-22-2-22-22-2222-22-2-222-2-220000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ502-2-222-2-22-22-22-2-22-22-2222-22-2-222-2-22000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ512-2-222-2-22-22-22-2-22-22-2-2-222222-2-222-2000000002-22-20000-22-22000000000000000000000000
χ522-2-222-2-22-22-22-2-22-22-2-2-222222-2-222-200000000-22-2200002-22-2000000000000000000000000
χ532-2-22-222-22-2-22-22-222-20020-20000000000000002−2−2200002−2−222i−2i2i−2ii2−i2−i2i2i2−i2−i2i2000000000000
χ542-2-22-222-22-2-22-22-222-20020-20000000000000002−2−2200002−2−22−2i2i−2i2i−i2i2i2−i2−i2i2i2−i2000000000000
χ552-2-22-222-22-2-22-22-222-20020-2000000000000000−222−20000−222−22i−2i2i−2i−i2i2i2−i2−i2i2i2−i2000000000000
χ562-2-22-222-22-2-22-22-222-20020-2000000000000000−222−20000−222−2−2i2i−2i2ii2−i2−i2i2i2−i2−i2i2000000000000
χ572-2-22-222-2-222-2-222-2-220020-20000000000000002−2−220000−222−22i−2i−2i2ii2−i2−i2i2−i2i2i2−i2000000000000
χ582-2-22-222-2-222-2-222-2-220020-20000000000000002−2−220000−222−2−2i2i2i−2i−i2i2i2−i2i2−i2−i2i2000000000000
χ592-2-22-222-2-222-2-222-2-220020-2000000000000000−222−200002−2−222i−2i−2i2i−i2i2i2−i2i2−i2−i2i2000000000000
χ602-2-22-222-2-222-2-222-2-220020-2000000000000000−222−200002−2−22−2i2i2i−2ii2−i2−i2i2−i2i2i2−i2000000000000
χ614444-4-4-4-444-4-4-44-4-44400-404000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4-444-4444-4-400-404000000000000000000000000000000000000000000000000000
χ6344-4-4-44-4400000000004-4040-40000000000004i−4i000000000000000000000000000000000000
χ6444-4-4-44-4400000000004-4040-4000000000000−4i4i000000000000000000000000000000000000
χ6544-4-4-44-440000000000-440-40400000000004-400000000000000000000000000000000000000
χ6644-4-4-44-440000000000-440-4040000000000-4400000000000000000000000000000000000000
χ674-44-4-4-44400000000004-40-404000000004-40000000000000000000000000000000000000000
χ684-44-4-4-44400000000004-40-40400000000-440000000000000000000000000000000000000000
χ694-44-4-4-4440000000000-44040-40000004i−4i000000000000000000000000000000000000000000
χ704-44-4-4-4440000000000-44040-4000000−4i4i000000000000000000000000000000000000000000
χ714-4-44-444-44-4-444-44-4-4400-404000000000000000000000000000000000000000000000000000
χ724-4-44-444-4-444-44-4-444-400-404000000000000000000000000000000000000000000000000000
χ7388-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000
χ748-88-888-8-8000000000000000000000000000000000000000000000000000000000000000000

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