Finite Group Databasebeta

← Group #6431882

Character table — Group #6431882

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222222222222222222222224444888888888888888888888888888888888888888888888888888888
order12222222222222222244444444444444444444222222222244444444444444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ9111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ12111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ13111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ14111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-1
χ15111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1
χ16111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1711111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1111-11-1-1-11-11-1-1-111-1-1111-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-1
χ1811111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-111-11-11-1-1-11-11-1-111-1-111-11-11-11-11-1-111-1-1-1-111-1-111-1-111-1-111
χ1911111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-111-11-1111-1-111-1-11-11-1-11-11-1-111-1-111-1-111-1-1-1-111-1-111
χ2011111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11111-11-111-1-111-1-1-11-111-11-1-1-111-1-1-1-111-1-11111-1-111-1-1
χ2111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111-11-1111-11-1-1-1-1-111-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111
χ2211111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-11-1111-11-11-1-1-1-111-1-1-11-11-11-1111-1-11111-1-111-1-111-1-111-1-1
χ2311111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11-11-1-1-1-11-111111-1-1111-11-1-11-1111-1-111-1-111-1-11111-1-111-1-1
χ2411111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-11-11-1-11-11-11111-1-111-11-111-11-111-1-11111-1-111-1-1-1-111-1-111
χ2511111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11111-1-111111-1-1-1-11-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111
χ2611111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-111-111-11111-1-1-1-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ2711111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-111111-1-11-1-1-111-1-1-1-1-111111-1-11-111-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ2811111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-11111-111-1-1-11-1-11-1-1-1-11111-111-11-1-11-1-1-1-111-1-11111-1-111-1-1-1-111
χ2911111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-1-11-1-11-1-1111-1-111111-1-111-1-111111-1-1-1-11111-1-1-1-11111-1-1
χ3011111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-1-1-111-111-1-11111-111-1-111-11111-1-111-1-1-1-11111-1-1-1-111
χ3111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1111-111-1-1-111-1-1-1-11-1-11-111-11111-1-1-1-11111-1-111-1-1-1-111
χ3211111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1111-1-11-1-111-1-1-1-1-111-11-1-111111-1-111-1-1-1-111-1-11111-1-1
χ332222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-22222-2-200002-22-22-200000000002-2000000000000000000000000000000000000
χ342222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-22222-2-20000-22-22-220000000000-22000000000000000000000000000000000000
χ35222222222-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-200002-22-2-220000000000-22000000000000000000000000000000000000
χ36222222222-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-20000-22-222-200000000002-2000000000000000000000000000000000000
χ3722222-2-2-2-2222222222-2-22222-2-2-2-2-2-2-2-2-2-200002-2-222-20000000000-22000000000000000000000000000000000000
χ3822222-2-2-2-2222222222-2-22222-2-2-2-2-2-2-2-2-2-20000-222-2-2200000000002-2000000000000000000000000000000000000
χ3922222-2-2-2-2-2-2-2-2-2-2-2-22-2-2222222222222-2-200002-2-22-2200000000002-2000000000000000000000000000000000000
χ4022222-2-2-2-2-2-2-2-2-2-2-2-22-2-2222222222222-2-20000-222-22-20000000000-22000000000000000000000000000000000000
χ412222-222-2-222-2-222-2-2-22-222-2-222-2-222-2-22-20000000000000000222-2000000000000-2-2-220000000000000000000000
χ422222-222-2-222-2-222-2-2-22-222-2-222-2-222-2-22-20000000000000000-2-2-22000000000000222-20000000000000000000000
χ432222-222-2-222-2-2-2-222-2-22-2-222-2-22222-2-2-220000000000222-200000000000000-2-2-2200000000000000000000000000
χ442222-222-2-222-2-2-2-222-2-22-2-222-2-22222-2-2-220000000000-2-2-2200000000000000222-200000000000000000000000000
χ452222-222-2-2-2-22222-2-2-2-22-2-22222-2-2-2-222-22000000000022-2200000000000000-2-22-200000000000000000000000000
χ462222-222-2-2-2-22222-2-2-2-22-2-22222-2-2-2-222-220000000000-2-22-20000000000000022-2200000000000000000000000000
χ472222-222-2-2-2-222-2-222-22-222-2-2-2-222-2-2222-2000000000000000022-22000000000000-2-22-20000000000000000000000
χ482222-222-2-2-2-222-2-222-22-222-2-2-2-222-2-2222-20000000000000000-2-22-200000000000022-220000000000000000000000
χ492222-2-2-22222-2-222-2-2-2-2222-2-2-2-222-2-222-2200000000002-22200000000000000-22-2-200000000000000000000000000
χ502222-2-2-22222-2-222-2-2-2-2222-2-2-2-222-2-222-220000000000-22-2-2000000000000002-22200000000000000000000000000
χ512222-2-2-22222-2-2-2-222-22-2-2-22222-2-2-2-2222-200000000000000002-222000000000000-22-2-20000000000000000000000
χ522222-2-2-22222-2-2-2-222-22-2-2-22222-2-2-2-2222-20000000000000000-22-2-20000000000002-2220000000000000000000000
χ532222-2-2-222-2-22222-2-2-22-2-2-222-2-22222-2-22-200000000000000002-2-2-2000000000000-22220000000000000000000000
χ542222-2-2-222-2-22222-2-2-22-2-2-222-2-22222-2-22-20000000000000000-22220000000000002-2-2-20000000000000000000000
χ552222-2-2-222-2-222-2-222-2-2222-2-222-2-222-2-2-2200000000002-2-2-200000000000000-222200000000000000000000000000
χ562222-2-2-222-2-222-2-222-2-2222-2-222-2-222-2-2-220000000000-2222000000000000002-2-2-200000000000000000000000000
χ572-22-222-22-22-22-22-22-2-22-22-22-22-22-22-22-2-222i2i−2i−2i000000000000000000000000000000002i−2i2i−2i2i−2i0000000000000000
χ582-22-222-22-22-22-22-22-2-22-22-22-22-22-22-22-2-22−2i−2i2i2i00000000000000000000000000000000−2i2i−2i2i−2i2i0000000000000000
χ592-22-222-22-22-22-2-22-22-2-22-22-22-22-222-22-22-2000000000000002i−2i0000002i−2i2i−2i2i−2i000000000000000000000000000000
χ602-22-222-22-22-22-2-22-22-2-22-22-22-22-222-22-22-200000000000000−2i2i000000−2i2i−2i2i−2i2i000000000000000000000000000000
χ612-22-222-22-2-22-222-22-2-2-22-22-222-22-2-22-222-2000000000000002i−2i000000−2i2i−2i2i2i−2i000000000000000000000000000000
χ622-22-222-22-2-22-222-22-2-2-22-22-222-22-2-22-222-200000000000000−2i2i0000002i−2i2i−2i−2i2i000000000000000000000000000000
χ632-22-222-22-2-22-22-22-22-22-22-22-2-22-22-22-22-222i2i−2i−2i000000000000000000000000000000002i−2i−2i2i−2i2i0000000000000000
χ642-22-222-22-2-22-22-22-22-22-22-22-2-22-22-22-22-22−2i−2i2i2i00000000000000000000000000000000−2i2i2i−2i2i−2i0000000000000000
χ652-22-22-22-222-22-22-22-2-2-222-22-2-22-22-22-222-2000000000000002i−2i000000−2i2i2i−2i−2i2i000000000000000000000000000000
χ662-22-22-22-222-22-22-22-2-2-222-22-2-22-22-22-222-200000000000000−2i2i0000002i−2i−2i2i2i−2i000000000000000000000000000000
χ672-22-22-22-222-22-2-22-22-22-2-22-222-22-2-22-22-222i2i−2i−2i00000000000000000000000000000000−2i2i2i−2i−2i2i0000000000000000
χ682-22-22-22-222-22-2-22-22-22-2-22-222-22-2-22-22-22−2i−2i2i2i000000000000000000000000000000002i−2i−2i2i2i−2i0000000000000000
χ692-22-22-22-22-22-222-22-2-22-2-22-22-22-222-22-2-222i2i−2i−2i00000000000000000000000000000000−2i2i−2i2i2i−2i0000000000000000
χ702-22-22-22-22-22-222-22-2-22-2-22-22-22-222-22-2-22−2i−2i2i2i000000000000000000000000000000002i−2i2i−2i−2i2i0000000000000000
χ712-22-22-22-22-22-22-22-22-2-222-22-22-22-22-22-22-2000000000000002i−2i0000002i−2i−2i2i−2i2i000000000000000000000000000000
χ722-22-22-22-22-22-22-22-22-2-222-22-22-22-22-22-22-200000000000000−2i2i000000−2i2i2i−2i2i−2i000000000000000000000000000000
χ732-22-2-22-2-222-2-222-2-222222-2-222-2-222-2-22-2-2000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
χ742-22-2-22-2-222-2-222-2-222222-2-222-2-222-2-22-2-200000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ752-22-2-22-2-222-2-22-222-22-2-2-222-2-222-22-2-22220000000000000000000000000000000000000000002-22-22-22-200000000
χ762-22-2-22-2-222-2-22-222-22-2-2-222-2-222-22-2-2222000000000000000000000000000000000000000000-22-22-22-2200000000
χ772-22-2-22-2-22-222-22-2-222-2-2-222-22-2-22-222-2220000000000000000000000000000000000000000002-22-2-22-2200000000
χ782-22-2-22-2-22-222-22-2-222-2-2-222-22-2-22-222-222000000000000000000000000000000000000000000-22-222-22-200000000
χ792-22-2-22-2-22-222-2-222-22222-2-22-222-2-222-2-2-2000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ802-22-2-22-2-22-222-2-222-22222-2-22-222-2-222-2-2-200000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ812-22-2-2-222-22-2-222-2-222-2-22-2-22-222-2-222-2220000000000000000000000000000000000000000002-2-222-2-2200000000
χ822-22-2-2-222-22-2-222-2-222-2-22-2-22-222-2-222-222000000000000000000000000000000000000000000-222-2-222-200000000
χ832-22-2-2-222-22-2-22-222-2222-222-22-2-22-222-2-2-2000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i
χ842-22-2-2-222-22-2-22-222-2222-222-22-2-22-222-2-2-200000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i
χ852-22-2-2-222-2-222-22-2-22222-222-2-222-22-2-22-2-2000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i
χ862-22-2-2-222-2-222-22-2-22222-222-2-222-22-2-22-2-200000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i
χ872-22-2-2-222-2-222-2-222-22-2-22-2-222-2-222-2-22220000000000000000000000000000000000000000002-2-22-222-200000000
χ882-22-2-2-222-2-222-2-222-22-2-22-2-222-2-222-2-2222000000000000000000000000000000000000000000-222-22-2-2200000000
χ8988-8-80000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000
χ9088-8-8000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000
χ918-8-880000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ928-8-88000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000

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