Finite Group Databasebeta

← Group #6356021

Character table — Group #6356021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222222222224444444444444444444444444444444444444444444444444444488881616161616161616161616161616
order12222244444444444444888822224444444444444444444888888888888888888888888888888888822224444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ411111111111111111111111111-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ511111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1111-1-1-1
χ611111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1111
χ711111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-11-11111-1-1-1
χ811111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-11-11-1-1-1-1111
χ911111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-11-1-1
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-111
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-11-11-1-1-111
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-11-11-1111-1-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-11-111-1-1-111
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1111-1-1
χ171111-1-1-1-111-1-111-1-1111111111-1111-1-1-111-1-1-1111-1-1-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-11-1-11-1
χ181111-1-1-1-111-1-111-1-1111111111-1111-1-1-111-1-1-1111-1-1-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-11-111-11
χ191111-1-1-1-111-1-111-1-1111111111-1-1-11-111-1-111-1-1-11-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-11-1111-1-1-11-1-11-1
χ201111-1-1-1-111-1-111-1-1111111111-1-1-11-111-1-111-1-1-11-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1-1-1111-111-11
χ211111-1-1-1-111-1-111-1-11111-1-1-1-11-1111-1-1-111-1-1-1111-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-11-1-11-111-1-11-11-11
χ221111-1-1-1-111-1-111-1-11111-1-1-1-11-1111-1-1-111-1-1-1111-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-111-11-1-111-11-11-1
χ231111-1-1-1-111-1-111-1-11111-1-1-1-11-1-1-11-111-1-111-1-1-11-111-1-11111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-111-11-1-11-11-11-11
χ241111-1-1-1-111-1-111-1-11111-1-1-1-11-1-1-11-111-1-111-1-1-11-111-1-11111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-11-111-11-11-11-1
χ251111-1-1-1-1-1-111-1-11111111111-1111-11-1-1-1-111-1111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11-1-11
χ261111-1-1-1-1-1-111-1-11111111111-1111-11-1-1-1-111-1111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-111-1
χ271111-1-1-1-1-1-111-1-11111111111-11-1-1-111111-1-1-1-1-11-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-111111-11-111-1-1-1-11-1-11
χ281111-1-1-1-1-1-111-1-11111111111-11-1-1-111111-1-1-1-1-11-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-11111-111-1
χ291111-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-11-1-1-1-111-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-111-1-111-1-1-1111-1
χ301111-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-11-1-1-1-111-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1111-1-111-1-1111-1-1-11
χ311111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-111111-1-1-1-1-11-11111-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111-1-11-1-1111-1
χ321111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-111111-1-1-1-1-11-11111-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-111-111-1-1-11
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χ3622222222-2-2-2-2-2-2-2-2-222-2000022-2-222-2-2-2-2-2-2-222-2-2222222000000000000000000000000000000000000000000000000
χ37222222-2-222-2-2-2-2222-2-2222222-200-22000000200-2-20000002222-2-20000-2-2-2-2-2-222000000000000000000000000000000
χ38222222-2-222-2-2-2-2222-2-22-2-2-2-22-200-22000000200-2-2000000-2-2-2-2220000222222-2-2000000000000000000000000000000
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χ42222222-2-2-2-22222-2-22-2-22-2-2-2-2-22002-2000000200-2-2000000-2-222-2-200002222-2-222000000000000000000000000000000
χ43222222-2-2-2-22222-2-2-2-2-2-200002-200-22000000-200220000000000002i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000
χ44222222-2-2-2-22222-2-2-2-2-2-200002-200-22000000-20022000000000000−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000
χ452222-2-2222222-2-2-2-22-2-2222222200-2-2000000-200-22000000-2-222220000-2-222-2-2-2-2000000000000000000000000000000
χ462222-2-2222222-2-2-2-22-2-22-2-2-2-22200-2-2000000-200-2200000022-2-2-2-2000022-2-22222000000000000000000000000000000
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χ482222-2-2222222-2-2-2-2-2-2-2-20000-2-200220000002002-2000000000000−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000
χ492222-2-222-2-2-2-222222-2-222222-2-20022000000-200-22000000-2-2-2-2-2-20000-2-2222222000000000000000000000000000000
χ502222-2-222-2-2-2-222222-2-22-2-2-2-2-2-20022000000-200-22000000222222000022-2-2-2-2-2-2000000000000000000000000000000
χ512222-2-222-2-2-2-22222-2-2-2-200002200-2-20000002002-20000000000002i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000
χ522222-2-222-2-2-2-22222-2-2-2-200002200-2-20000002002-2000000000000−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000
χ532222-2-2-2-222-2-222-2-2-222-20000-2222-22-2-2-2-2222-2-2-222222-2-2000000000000000000000000000000000000000000000000
χ542222-2-2-2-222-2-222-2-2-222-20000-22-2-2-222222-2-2222-22-2-2-2-222000000000000000000000000000000000000000000000000
χ552222-2-2-2-2-2-222-2-222-222-200002-2222-2-2-222-2-22-2-2-2222-2-222000000000000000000000000000000000000000000000000
χ562222-2-2-2-2-2-222-2-222-222-200002-2-2-22-222-2-222222-22-2-222-2-2000000000000000000000000000000000000000000000000
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χ6122-2-22-22-2−2i2i−2i2i−2i2i−2i2i02-2022−2−2000000002-22-20−2i2i00−2i2i00002−2−i2i2−i2i2−i2i2−i2i22−22−2−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000000000
χ6222-2-22-22-2−2i2i−2i2i−2i2i−2i2i02-2022−2−200000000-22-2202i−2i002i−2i00002−2−i2i2−i2i2i2−i2i2−i22−22−2−i2i2−i2i2i2−i2i2−i2−22−22−22−22000000000000000000
χ6322-2-22-22-2−2i2i−2i2i−2i2i−2i2i02-20−2−222000000002-22-20−2i2i00−2i2i0000−22i2−i2i2−i2i2−i2i2−i2−22−22i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000000000
χ6422-2-22-22-2−2i2i−2i2i−2i2i−2i2i02-20−2−22200000000-22-2202i−2i002i−2i0000−22i2−i2i2−i2−i2i2−i2i2−22−22i2−i2i2−i2−i2i2−i2i22−22−22−22−2000000000000000000
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χ6622-2-22-2-222i−2i−2i2i−2i2i2i−2i0-22022−2−200-2200-2200000000000−2i2i−2i2i2−2i2−i2−i2i2−222−2−22−22−i2i2i2−i2−222−2i2−i2−i2i2i2−i2−i2i2000000000000000000
χ6722-2-22-2-222i−2i−2i2i−2i2i2i−2i0-220−2−222002-2002-2000000000002i−2i2i−2i−22−i2i2i2−i2−222−22−22−2i2−i2−i2i2−222−2i2−i2−i2i2i2−i2−i2i2000000000000000000
χ6822-2-22-2-222i−2i−2i2i−2i2i2i−2i0-220−2−22200-2200-2200000000000−2i2i−2i2i−22−i2i2i2−i22−2−222−22−2i2−i2−i2i22−2−22−i2i2i2−i2−i2i2i2−i2000000000000000000
χ6922-2-22-2-22−2i2i2i−2i2i−2i−2i2i0-22022−2−2002-2002-200000000000−2i2i−2i2i2−2−i2i2i2−i22−2−22−22−22i2−i2−i2i22−2−22i2−i2−i2i2i2−i2−i2i2000000000000000000
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χ8322-2-2-22-222i−2i−2i2i2i−2i−2i2i02-20−2−222000000002-2-2202i−2i00−2i2i00002−2−i2i2i2−i2−i2i2−i2i2−222−2−i2i2i2−i2i2−i2i2−i2−22−222−22−2000000000000000000
χ8422-2-2-22-222i−2i−2i2i2i−2i−2i2i02-20−2−22200000000-222-20−2i2i002i−2i00002−2−i2i2i2−i2i2−i2i2−i2−222−2−i2i2i2−i2−i2i2−i2i22−22−2−22−22000000000000000000
χ8522-2-2-22-22−2i2i2i−2i−2i2i2i−2i02-2022−2−2000000002-2-220−2i2i002i−2i0000−22−i2i2i2−i2−i2i2−i2i22−2−22−i2i2i2−i2i2−i2i2−i22−22−2−22−22000000000000000000
χ8622-2-2-22-22−2i2i2i−2i−2i2i2i−2i02-2022−2−200000000-222-202i−2i00−2i2i0000−22−i2i2i2−i2i2−i2i2−i22−2−22−i2i2i2−i2−i2i2−i2i2−22−222−22−2000000000000000000
χ8722-2-2-22-22−2i2i2i−2i−2i2i2i−2i02-20−2−222000000002-2-220−2i2i002i−2i00002−2i2−i2−i2i2i2−i2i2−i2−222−2i2−i2−i2i2−i2i2−i2i2−22−222−22−2000000000000000000
χ8822-2-2-22-22−2i2i2i−2i−2i2i2i−2i02-20−2−22200000000-222-202i−2i00−2i2i00002−2i2−i2−i2i2−i2i2−i2i2−222−2i2−i2−i2i2i2−i2i2−i22−22−2−22−22000000000000000000
χ894-44-4000000000000400-44-44-4000000000000000000000000000000000000000000000000000002i2−2i22i2−2i200000000000000
χ904-44-4000000000000400-44-44-400000000000000000000000000000000000000000000000000000−2i22i2−2i22i200000000000000
χ914-44-4000000000000400-4-44-44000000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ924-44-4000000000000400-4-44-4400000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ938-88-8000000000000-8008000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88000000000000000042−42−424200000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-880000000000000000−424242−4200000000000000000000000000000000000000000000000000000000000000000000000

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