Finite Group Databasebeta

← Group #72266697

Character table — Group #72266697

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222244444488888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222444422224444444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-11111111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1
χ71111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111111-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ121111111111111111-1-1-1-111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-111-1-1
χ171111-1-11111-1-111-1-111-1-11111-1111-1-1-11111-1-1-111-1-1-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11-11-11-1-1-11-11-111ii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-11111-1-111-1-111-1-11111-1111-1-1-11111-1-1-111-1-1-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11-11-11-1-1-11-11-111−i−iii−i−iii−ii−ii−ii−ii
χ191111-1-11111-1-111-1-111-1-11111-1111-1-1-11111-1-1-111-1-1-1-1-1-111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1111-1-11-11111-1-11-1-1−i−iii−i−iiii−ii−i−ii−ii
χ201111-1-11111-1-111-1-111-1-11111-1111-1-1-11111-1-1-111-1-1-1-1-1-111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1111-1-11-11111-1-11-1-1ii−i−iii−i−i−ii−iii−ii−i
χ211111-1-11111-1-111-1-111-1-11111-1111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-111-11-111-111-1-1-1−i−iii−i−iii−ii−iii−ii−i
χ221111-1-11111-1-111-1-111-1-11111-1111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-111-11-111-111-1-1-1ii−i−iii−i−ii−ii−i−ii−ii
χ231111-1-11111-1-111-1-111-1-11111-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-11-11-11-1-1-11-1111ii−i−iii−i−i−ii−ii−ii−ii
χ241111-1-11111-1-111-1-111-1-11111-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-11-11-11-1-1-11-1111−i−iii−i−iiii−ii−ii−ii−i
χ251111-1-11111-1-111-1-1-1-1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1111-11-1-11-1-1-11-1111ii−i−i−i−iiii−i−iii−i−ii
χ261111-1-11111-1-111-1-1-1-1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1111-11-1-11-1-1-11-1111−i−iiiii−i−i−iii−i−iii−i
χ271111-1-11111-1-111-1-1-1-1111111-1-1-1-11111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11-1-111-111-111-1-1-1−i−iiiii−i−ii−i−ii−iii−i
χ281111-1-11111-1-111-1-1-1-1111111-1-1-1-11111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11-1-111-111-111-1-1-1ii−i−i−i−iii−iii−ii−i−ii
χ291111-1-11111-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-111-1-11111-1-11-1-1−i−iiiii−i−i−iii−ii−i−ii
χ301111-1-11111-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-111-1-11111-1-11-1-1ii−i−i−i−iiii−i−ii−iii−i
χ311111-1-11111-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-11-111-1-1-11-11-111ii−i−i−i−iii−iii−i−iii−i
χ321111-1-11111-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-11-111-1-1-11-11-111−i−iiiii−i−ii−i−iii−i−ii
χ332222222222222222222222-2-222222220000-2-22-2-2-2-20000-2-2-2-20022-2-200000000000000000000-2-2220000002-200002-20000000000000000
χ342222222222222222222222-2-222222220000-2-22-2-2-2-20000-2-2-2-200-2-2220000000000000000000022-2-2000000-220000-220000000000000000
χ35222222222222222222-2-2-2-222-22-2-222-2222222-2-2-2-2-222002-22-2000000000000000000000022-2-20000-2-2000000-2200000000000000000000
χ36222222222222222222-2-2-2-222-22-2-222-2-2-2-2-222-2-2-2-2-2-2-2002-22-20000000000000000000000-2-2220000220000002-200000000000000000000
χ37222222222222222222-2-2-2-2-2-2-22-2-222-20000-2-2-222220022-22-2222000000000000000000000000000000-2-2-2200002-2000000000000000000
χ38222222222222222222-2-2-2-2-2-2-22-2-222-20000-2-2-2222200-2-2-22-22-2-2000000000000000000000000000000222-20000-22000000000000000000
χ392222222222222222-2-222-2-222-2-222-2-22222222-2-2-2-2-22200-22-220000000000000000000000-2-2220000-2-20000002-200000000000000000000
χ402222222222222222-2-222-2-222-2-222-2-22-2-2-2-222-2-2-2-2-2-2-200-22-22000000000000000000000022-2-2000022000000-2200000000000000000000
χ412222222222222222-2-222-2-2-2-2-2-222-2-220000-2-2-2222200222-22-222000000000000000000000000000000-2-22-20000-22000000000000000000
χ422222222222222222-2-222-2-2-2-2-2-222-2-220000-2-2-2222200-2-22-22-2-2-200000000000000000000000000000022-2200002-2000000000000000000
χ432222222222222222-2-2-2-222-2-22-2-2-2-2-2-20000-2-22-2-2-2-2000022220022-2-200000000000000000000-2-222000000-220000-220000000000000000
χ442222222222222222-2-2-2-222-2-22-2-2-2-2-2-20000-2-22-2-2-2-20000222200-2-2220000000000000000000022-2-20000002-200002-20000000000000000
χ4522222222-2-222-2-2-2-200002-22-2200000000002-2-22-22-200000000002i−2i2i−2i0000000022-2-222-2-200002i−2i2i−2i000000000000002i−2i2i−2i000000000000
χ4622222222-2-222-2-2-2-200002-22-2200000000002-2-22-22-200000000002i−2i2i−2i00000000-2-222-2-22200002i−2i2i−2i00000000000000−2i2i−2i2i000000000000
χ4722222222-2-222-2-2-2-200002-22-2200000000002-2-22-22-20000000000−2i2i−2i2i0000000022-2-222-2-20000−2i2i−2i2i00000000000000−2i2i−2i2i000000000000
χ4822222222-2-222-2-2-2-200002-22-2200000000002-2-22-22-20000000000−2i2i−2i2i00000000-2-222-2-2220000−2i2i−2i2i000000000000002i−2i2i−2i000000000000
χ4922222222-2-222-2-2-2-200002-2-2220000000000-22-2-22-2200000000002i−2i−2i2i22-2-222-2-2000000000000−2i2i2i−2i0000000000000000002i−2i2i−2i00000000
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χ5222222222-2-222-2-2-2-200002-2-2220000000000-22-2-22-220000000000−2i2i2i−2i-2-222-2-2220000000000002i−2i−2i2i0000000000000000002i−2i2i−2i00000000
χ532222-2-22222-2-222-2-22222-2-22222-2-2-2-222222-2-22-2-222-2-2002-2-22000000000000000000000022220000-22000000-2-200000000000000000000
χ542222-2-22222-2-222-2-22222-2-22222-2-2-2-22-2-2-2-2-2-22-2-22222002-2-220000000000000000000000-2-2-2-200002-20000002200000000000000000000
χ552222-2-22222-2-222-2-22222-2-2-2-222-2-2-2-22000022222-2-20022-222-2-2-2000000000000000000000000000000-22-2-2000022000000000000000000
χ562222-2-22222-2-222-2-22222-2-2-2-222-2-2-2-22000022222-2-200-2-2-222-2220000000000000000000000000000002-2220000-2-2000000000000000000
χ572222-2-22222-2-222-2-222-2-222-2-2-2222-2-2-2000022-2-2-2220000-2-22200222200000000000000000000-2-2-2-2000000-2200002-20000000000000000
χ582222-2-22222-2-222-2-222-2-222-2-2-2222-2-2-2000022-2-2-2220000-2-22200-2-2-2-20000000000000000000022220000002-20000-220000000000000000
χ592222-2-22222-2-222-2-2-2-22222-2-2-2-2-2-2222000022-2-2-222000022-2-200222200000000000000000000-2-2-2-20000002-20000-220000000000000000
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χ642222-2-22222-2-222-2-2-2-2-2-2-2-2-2-22-22222-2000022222-2-200-2-22-2-22220000000000000000000000000000002-2-2-2000022000000000000000000
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χ1048-8-888-8-8800-880000000000000000000-444-40000000-44000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-888-800-88000000000000000000000000000000004-40000-440000000000000000000000000000000000000000000000000000000000
χ1068-8-88-888-800-8800000000000000000000000000000000-4400004-40000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88-88008-800000000000000000004-4-440000000-44000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-88008-80000000000000000000-444-400000004-4000000000000000000000000000000000000000000000000000000000000000000
χ1091616-16-160000016000-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1616-16000016000-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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