Finite Group Databasebeta

← Group #200463

Character table — Group #200463

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122222222222222222244444444444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222444444444444442222244444444444444444888888888888888888888888888888882244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1ii−i−iii−i−i
χ1011111111-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111−i−iii−i−iii
χ1111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1−i−iii−i−iii
χ1211111111-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111ii−i−iii−i−i
χ1311111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-11-1-1-111ii−i−i−i−iii
χ1411111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-1111-1-1−i−iiiii−i−i
χ1511111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-11-1-1-111−i−iiiii−i−i
χ1611111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1111-1-1ii−i−i−i−iii
χ171111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11-11-1i−ii−ii−ii−i
χ181111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-11-11−ii−ii−ii−ii
χ191111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-11-11-1−ii−ii−ii−ii
χ201111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111-11-11i−ii−ii−ii−i
χ211111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-11-11i−ii−i−ii−ii
χ221111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1111-11-1−ii−iii−ii−i
χ231111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-11-11−ii−iii−ii−i
χ241111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1111-11-1i−ii−i−ii−ii
χ251111-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-1111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11
χ261111-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-1111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1
χ271111-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-111-1-111-1
χ281111-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-11-1-111-1-11
χ291111-1-111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1
χ301111-1-111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11
χ311111-1-111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-111-1-111-11-1-11
χ321111-1-111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11-1-111-1-11-111-1
χ33222222222222-2-2-2-2-2-2-2-22222222-2-22-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ34222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-222222-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-22222-2-22-2-2-2-222-222222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ37222222-2-222-2-222-2-222-2-222-200002-2-2000000002-20000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ38222222-2-222-2-222-2-222-2-222-200002-2-2000000002-200000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ39222222-2-222-2-2-2-222-2-22222-20000-22-200000000-22000022-2-222-2-222-2-222-2-200000000000000000000000000000000
χ40222222-2-222-2-2-2-222-2-22222-20000-22-200000000-220000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ41222222-2-2-2-22222-2-2-2-222-2-2-20000-222000000002-2000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ42222222-2-2-2-22222-2-2-2-222-2-2-20000-222000000002-200000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ43222222-2-2-2-222-2-22222-2-2-2-2-200002-2200000000-2200002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ44222222-2-2-2-222-2-22222-2-2-2-2-200002-2200000000-220000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ452222-2-222222222222222-2-2-222-2-2-2-2-2-2-22222-2-2-2-2-2-222000000000000000000000000000000000000000000000000
χ462222-2-222222222222222-2-2-2-2-222-2-2-222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ472222-2-222-2-2-2-22222-2-2-2-222-222-2-2222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ482222-2-222-2-2-2-22222-2-2-2-222-2-2-22222222-2-222-2-2-2-2-2-222000000000000000000000000000000000000000000000000
χ492222-2-2-2-222-2-222-2-222-2-2-2-220000-22200000000-2200002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ502222-2-2-2-222-2-222-2-222-2-2-2-220000-22200000000-220000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ512222-2-2-2-222-2-2-2-222-2-222-2-2200002-22000000002-2000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ522222-2-2-2-222-2-2-2-222-2-222-2-2200002-22000000002-200000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ532222-2-2-2-2-2-22222-2-2-2-22222200002-2-200000000-22000022-2-2-2-222-2-22222-2-200000000000000000000000000000000
χ542222-2-2-2-2-2-22222-2-2-2-22222200002-2-200000000-220000-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ552222-2-2-2-2-2-222-2-22222-2-22220000-22-2000000002-20000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ562222-2-2-2-2-2-222-2-22222-2-22220000-22-2000000002-200000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
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χ5822-2-2002-22-22-22i−2i2i−2i2i−2i2i−2i000002-20002i−2i00002-2002i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ5922-2-2002-22-22-22i−2i2i−2i2i−2i2i−2i00000-22000−2i2i0000-2200−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ6022-2-2002-22-22-22i−2i2i−2i2i−2i2i−2i00000-22000−2i2i0000-2200−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ6122-2-2002-22-22-2−2i2i−2i2i−2i2i−2i2i000002-2000−2i2i00002-200−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ6222-2-2002-22-22-2−2i2i−2i2i−2i2i−2i2i000002-2000−2i2i00002-200−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ6322-2-2002-22-22-2−2i2i−2i2i−2i2i−2i2i00000-220002i−2i0000-22002i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ6422-2-2002-22-22-2−2i2i−2i2i−2i2i−2i2i00000-220002i−2i0000-22002i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
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χ6622-2-2002-2-22-222i−2i2i−2i−2i2i−2i2i000002-20002i−2i0000-2200−2i2i00−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i0000000000000000
χ6722-2-2002-2-22-222i−2i2i−2i−2i2i−2i2i00000-22000−2i2i00002-2002i−2i001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i0000000000000000
χ6822-2-2002-2-22-222i−2i2i−2i−2i2i−2i2i00000-22000−2i2i00002-2002i−2i00−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i0000000000000000
χ6922-2-2002-2-22-22−2i2i−2i2i2i−2i2i−2i000002-2000−2i2i0000-22002i−2i001+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i0000000000000000
χ7022-2-2002-2-22-22−2i2i−2i2i2i−2i2i−2i000002-2000−2i2i0000-22002i−2i00−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i0000000000000000
χ7122-2-2002-2-22-22−2i2i−2i2i2i−2i2i−2i00000-220002i−2i00002-200−2i2i001+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i0000000000000000
χ7222-2-2002-2-22-22−2i2i−2i2i2i−2i2i−2i00000-220002i−2i00002-200−2i2i00−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i0000000000000000
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χ928-8-88-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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