Finite Group Databasebeta

← Group #159404

Character table — Group #159404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11111111111111111111111111111111888888888888888888888888888888888888888888888888888888888888
order12222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ17222222222222222-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ18222222222222222-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ19222222222222222-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ20222222222222222-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ2122222222-2-2-2-2-2-2-222222-2-2-22-2-2-2-2-222-20000000000000000000000000000000022-2-200002i2i−2i−2i2i2i−2i−2i000000000000
χ2222222222-2-2-2-2-2-2-222222-2-2-22-2-2-2-2-222-20000000000000000000000000000000022-2-20000−2i−2i2i2i−2i−2i2i2i000000000000
χ2322222222-2-2-2-2-2-2-222222-2-2-22-2-2-2-2-222-200000000000000000000000000000000-2-22200002i2i−2i−2i−2i−2i2i2i000000000000
χ2422222222-2-2-2-2-2-2-222222-2-2-22-2-2-2-2-222-200000000000000000000000000000000-2-2220000−2i−2i2i2i2i2i−2i−2i000000000000
χ252222-2-2-2-22222-2-2-2222-2-222-2-22-2-2-2-22-2200000000000000000000000022-2-2000000002i2i−2i−2i00000000000000002i2i−2i−2i
χ262222-2-2-2-22222-2-2-2222-2-222-2-22-2-2-2-22-2200000000000000000000000022-2-200000000−2i−2i2i2i0000000000000000−2i−2i2i2i
χ272222-2-2-2-22222-2-2-2222-2-222-2-22-2-2-2-22-22000000000000000000000000-2-222000000002i2i−2i−2i0000000000000000−2i−2i2i2i
χ282222-2-2-2-22222-2-2-2222-2-222-2-22-2-2-2-22-22000000000000000000000000-2-22200000000−2i−2i2i2i00000000000000002i2i−2i−2i
χ2922-2-222-2-222-2-222-222-22-22-2-22-222-2-2-2-2200000000000000000000000000002i2i−2i−2i000000002-22-200002i2i−2i−2i00000000
χ3022-2-222-2-222-2-222-222-22-22-2-22-222-2-2-2-2200000000000000000000000000002i2i−2i−2i00000000-22-220000−2i−2i2i2i00000000
χ3122-2-222-2-222-2-222-222-22-22-2-22-222-2-2-2-220000000000000000000000000000−2i−2i2i2i000000002-22-20000−2i−2i2i2i00000000
χ3222-2-222-2-222-2-222-222-22-22-2-22-222-2-2-2-220000000000000000000000000000−2i−2i2i2i00000000-22-2200002i2i−2i−2i00000000
χ3322-2-222-2-2-2-222-2-2222-22-2-22222-2-222-2-2-2000000002-22-20000000000000000000000002i−2i2i−2i2i−2i−2i2i0000000000000000
χ3422-2-222-2-2-2-222-2-2222-22-2-22222-2-222-2-2-2000000002-22-2000000000000000000000000−2i2i−2i2i−2i2i2i−2i0000000000000000
χ3522-2-222-2-2-2-222-2-2222-22-2-22222-2-222-2-2-200000000-22-220000000000000000000000002i−2i2i−2i−2i2i2i−2i0000000000000000
χ3622-2-222-2-2-2-222-2-2222-22-2-22222-2-222-2-2-200000000-22-22000000000000000000000000−2i2i−2i2i2i−2i−2i2i0000000000000000
χ3722-2-222-2-2-2-222-2-22-2-22-222-22-2-222-2-2222000000002-2-2222-2-222-2-20000000000000000000000000000000000000000
χ3822-2-222-2-2-2-222-2-22-2-22-222-22-2-222-2-2222000000002-2-22-2-222-2-2220000000000000000000000000000000000000000
χ3922-2-222-2-2-2-222-2-22-2-22-222-22-2-222-2-222200000000-222-222-2-2-2-2220000000000000000000000000000000000000000
χ4022-2-222-2-2-2-222-2-22-2-22-222-22-2-222-2-222200000000-222-2-2-22222-2-20000000000000000000000000000000000000000
χ4122-2-2-2-222-2-22222-222-2-22-22-2-2222-2-2-22-2000000000000000000002i2i−2i−2i0000000000002-2-220000000000002i2i−2i−2i0000
χ4222-2-2-2-222-2-22222-222-2-22-22-2-2222-2-2-22-2000000000000000000002i2i−2i−2i000000000000-222-2000000000000−2i−2i2i2i0000
χ4322-2-2-2-222-2-22222-222-2-22-22-2-2222-2-2-22-200000000000000000000−2i−2i2i2i0000000000002-2-22000000000000−2i−2i2i2i0000
χ4422-2-2-2-222-2-22222-222-2-22-22-2-2222-2-2-22-200000000000000000000−2i−2i2i2i000000000000-222-20000000000002i2i−2i−2i0000
χ452-22-22-22-22-22-22-222-2-2222-2-2-222-22-22-2-20000000000002i−2i2i−2i000000000000000000000000000000002-22-200002i−2i2i−2i
χ462-22-22-22-22-22-22-222-2-2222-2-2-222-22-22-2-20000000000002i−2i2i−2i00000000000000000000000000000000-22-220000−2i2i−2i2i
χ472-22-22-22-22-22-22-222-2-2222-2-2-222-22-22-2-2000000000000−2i2i−2i2i000000000000000000000000000000002-22-20000−2i2i−2i2i
χ482-22-22-22-22-22-22-222-2-2222-2-2-222-22-22-2-2000000000000−2i2i−2i2i00000000000000000000000000000000-22-2200002i−2i2i−2i
χ492-22-2-22-222-22-2-22-22-2-2-2-22-2222-22-2222-22-22-200000000000000000000000000002-22-2000000000000000000002-2-22
χ502-22-2-22-222-22-2-22-22-2-2-2-22-2222-22-2222-22-22-20000000000000000000000000000-22-2200000000000000000000-222-2
χ512-22-2-22-222-22-2-22-22-2-2-2-22-2222-22-2222-2-22-2200000000000000000000000000002-22-200000000000000000000-222-2
χ522-22-2-22-222-22-2-22-22-2-2-2-22-2222-22-2222-2-22-220000000000000000000000000000-22-22000000000000000000002-2-22
χ532-22-2-22-222-22-2-22-2-22222-222-2-22-22-2-2-222-2-220000000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ542-22-2-22-222-22-2-22-2-22222-222-2-22-22-2-2-222-2-22000000000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ552-22-2-22-222-22-2-22-2-22222-222-2-22-22-2-2-22-222-20000000000000000000000002i−2i2i−2i00000000000000000000−2i2i−2i2i0000
χ562-22-2-22-222-22-2-22-2-22222-222-2-22-22-2-2-22-222-2000000000000000000000000−2i2i−2i2i000000000000000000002i−2i2i−2i0000
χ572-22-2-22-22-22-222-222-2-2-2-2-22-22-22-22-222200000000000000002-22-22-22-2000000002-2-22000000000000000000000000
χ582-22-2-22-22-22-222-222-2-2-2-2-22-22-22-22-222200000000000000002-22-2-22-2200000000-222-2000000000000000000000000
χ592-22-2-22-22-22-222-222-2-2-2-2-22-22-22-22-22220000000000000000-22-222-22-200000000-222-2000000000000000000000000
χ602-22-2-22-22-22-222-222-2-2-2-2-22-22-22-22-22220000000000000000-22-22-22-22000000002-2-22000000000000000000000000
χ612-2-222-2-222-2-222-2-22-222-2222-2-22-2-22-22-200002-22-20000000000002i−2i−2i2i0000000000000000000000002i−2i−2i2i00000000
χ622-2-222-2-222-2-222-2-22-222-2222-2-22-2-22-22-200002-22-2000000000000−2i2i2i−2i000000000000000000000000−2i2i2i−2i00000000
χ632-2-222-2-222-2-222-2-22-222-2222-2-22-2-22-22-20000-22-220000000000002i−2i−2i2i000000000000000000000000−2i2i2i−2i00000000
χ642-2-222-2-222-2-222-2-22-222-2222-2-22-2-22-22-20000-22-22000000000000−2i2i2i−2i0000000000000000000000002i−2i−2i2i00000000
χ652-2-222-2-222-2-222-2-2-22-2-22-2-2222-222-22-2200002-2-2200000000000000002-22-200000000000000002-22-2000000000000
χ662-2-222-2-222-2-222-2-2-22-2-22-2-2222-222-22-2200002-2-220000000000000000-22-220000000000000000-22-22000000000000
χ672-2-222-2-222-2-222-2-2-22-2-22-2-2222-222-22-220000-222-200000000000000002-22-20000000000000000-22-22000000000000
χ682-2-222-2-222-2-222-2-2-22-2-22-2-2222-222-22-220000-222-20000000000000000-22-2200000000000000002-22-2000000000000
χ692-2-222-2-22-222-2-222-22-2-2222-22-22-2-222-2-20000000000002i−2i−2i2i00000000000000000000000000002i−2i−2i2i00002-2-220000
χ702-2-222-2-22-222-2-222-22-2-2222-22-22-2-222-2-20000000000002i−2i−2i2i0000000000000000000000000000−2i2i2i−2i0000-222-20000
χ712-2-222-2-22-222-2-222-22-2-2222-22-22-2-222-2-2000000000000−2i2i2i−2i00000000000000000000000000002i−2i−2i2i0000-222-20000
χ722-2-222-2-22-222-2-222-22-2-2222-22-22-2-222-2-2000000000000−2i2i2i−2i0000000000000000000000000000−2i2i2i−2i00002-2-220000
χ732-2-22-222-22-2-22-222-22-22-2-2-2-2-222-2-2222200000000000000002-2-2200002-2-222-2-220000000000000000000000000000
χ742-2-22-222-22-2-22-222-22-22-2-2-2-2-222-2-2222200000000000000002-2-220000-222-2-222-20000000000000000000000000000
χ752-2-22-222-22-2-22-222-22-22-2-2-2-2-222-2-222220000000000000000-222-200002-2-22-222-20000000000000000000000000000
χ762-2-22-222-22-2-22-222-22-22-2-2-2-2-222-2-222220000000000000000-222-20000-222-22-2-220000000000000000000000000000
χ7744444444-4-4-4-4-4-4-4-4-4-4-4-444-4-444444-4-44000000000000000000000000000000000000000000000000000000000000
χ784444-4-4-4-44444-4-4-4-4-4-444-4-4-44-44444-44-4000000000000000000000000000000000000000000000000000000000000
χ794444-4-4-4-4-4-4-4-4444444-4-4-4-44-4-444444-4-4000000000000000000000000000000000000000000000000000000000000
χ804444-4-4-4-4-4-4-4-4444-4-4-44444444-4-4-4-4-444000000000000000000000000000000000000000000000000000000000000
χ8144-4-444-4-444-4-444-4-4-44-44-44-4-44-4-44444-4000000000000000000000000000000000000000000000000000000000000
χ8244-4-4-4-44444-4-4-4-4444-4-444-44-4-4-4-444-444000000000000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44444-4-4-4-44-4-444-4-4444444-4-44-4-4000000000000000000000000000000000000000000000000000000000000
χ8444-4-4-4-444-4-44444-4-4-444-44-4-44-4-4-4444-44000000000000000000000000000000000000000000000000000000000000
χ854-44-44-44-44-44-44-44-444-4-4-44-44-4-44-44-444000000000000000000000000000000000000000000000000000000000000
χ864-44-44-44-4-44-44-44-44-4-444-444-4-4-44-444-44000000000000000000000000000000000000000000000000000000000000
χ874-44-44-44-4-44-44-44-4-444-4-44-44444-44-4-44-4000000000000000000000000000000000000000000000000000000000000
χ884-44-4-44-44-44-444-44-444444-4-4-44-44-44-4-4-4000000000000000000000000000000000000000000000000000000000000
χ894-4-444-4-44-444-4-4444-444-4-4-4-4-44-444-4-444000000000000000000000000000000000000000000000000000000000000
χ904-4-44-444-44-4-44-4444-44-4444-44-4-444-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ914-4-44-444-4-444-44-4-44-44-44-4-44444-4-44-4-44000000000000000000000000000000000000000000000000000000000000
χ924-4-44-444-4-444-44-4-4-44-44-4444-4-4-444-444-4000000000000000000000000000000000000000000000000000000000000

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