Finite Group Databasebeta

← Group #72311738

Character table — Group #72311738

Order 8192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1122244444444888888888881616161616161616161616161616161616161616323232323232323232326464646464646464646464646464646464646464646464646464646464646464128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128128
order12222222222222222222222222222222222222444444224444444424444444444444444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111111111111111111111-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ7111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ8111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ911111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111ii−i−i11-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i
χ1011111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111−i−iii11-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii
χ1111111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-1ii−i−i-1-1111111ii−i−iii−i−i−i−i−i−iiiii−i−iii
χ1211111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-1-1-1−i−iii-1-1111111−i−iii−i−iiiiiii−i−i−i−iii−i−i
χ1311111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-1−i−iii11-1-11111ii−i−i−i−iii−i−i−i−iiiiiii−i−i
χ1411111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-1ii−i−i11-1-11111−i−iiiii−i−iiiii−i−i−i−i−i−iii
χ1511111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111111111−i−iii-1-111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−iii
χ1611111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111111111ii−i−i-1-111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiii−i−i
χ171111111111111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-111-1-11111ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i-1-111-1-1ii−i−i1111i−ii−iii−i−i1-11-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ181111111111111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-111-1-11111ii−i−iii−i−i-1-111-1-111−i−iii−i−iii-1-111-1-1ii−i−i-1-1-1-1i−ii−iii−i−i-11-111111−i−iii−i−iii−ii−ii
χ191111111111111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-111-1-11111−i−iii−i−iii11-1-111-1-1−i−iii−i−iii-1-111-1-1−i−iii1111−ii−ii−i−iii1-11-1-1-1-1-1−i−iii−i−iii−ii−ii
χ201111111111111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-111-1-11111−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-1-111-1-1−i−iii-1-1-1-1−ii−ii−i−iii-11-111111ii−i−iii−i−ii−ii−i
χ211111111111111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111−i−iii-1-1-1-1i−ii−i−i−iii1-11-11111−i−iii−i−iiii−ii−i
χ221111111111111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii11-1-111−i−iii1111i−ii−i−i−iii-11-11-1-1-1-1ii−i−iii−i−i−ii−ii
χ231111111111111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-111ii−i−i-1-1-1-1−ii−iiii−i−i1-11-11111ii−i−iii−i−i−ii−ii
χ241111111111111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11-1-111ii−i−i1111−ii−iiii−i−i-11-11-1-1-1-1−i−iii−i−iiii−ii−i
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-1-1-111ii−i−iii−i−ii−i−ii−i−iiii−i−ii−i−iii-1-11111-1-1-111-1
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111111111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-1-1-111ii−i−i−i−iiii−i−ii−i−iii−iii−iii−i−i11-1-1-1-1111-1-11
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111111111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-1-1-111−i−iiiii−i−i−iii−iii−i−ii−i−ii−i−iii11-1-1-1-1111-1-11
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-1-1-111−i−iii−i−iii−iii−iii−i−i−iii−iii−i−i-1-11111-1-1-111-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11111-1-1−i−iii−i−iiii−i−iiii−i−ii−i−iiii−i−i11-1-1-1-111-111-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111111-1-1−i−iiiii−i−ii−i−iiii−i−i−iii−i−i−iii-1-11111-1-11-1-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111111-1-1ii−i−i−i−iii−iii−i−i−iiii−i−iiii−i−i-1-11111-1-11-1-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11111-1-1ii−i−iii−i−i−iii−i−i−iii−iii−i−i−iii11-1-1-1-111-111-1
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χ342222222222222222222222-2-2222222-2222-222-222-2-2-2-22-22-2-2-222-2-200-2-22-200-2-2-2-2222200000000000000000000000000000022-2-2000000000000000000000000
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χ3622222222222222222222-2-22222-2-2-2-2222-22-2-222222222-22-2-2-2-2-22200-2-2-2200-2-2-2-2-2-2-2-20000000000000000000000000000002222000000000000000000000000
χ37222222222222222222-2-22222222222-22-22222-2-2-222-2-2-22-22-2-2-2-222002-2-2-2000000000022-2-222-2-2000000000000000000000000000000-22-220000000000000000
χ38222222222222222222-2-22222222222-22-22222-2-2-222-2-2-22-22-2-2-2-222002-2-2-20000000000-2-222-2-2220000000000000000000000000000002-22-20000000000000000
χ39222222222222222222-2-222-2-222222222-22-2222-2-2-2-222-2-2-2-222-2-2-2-200-22-2200000000000000000022-2-2-2-22200000000000000000000000000000000000000-222-2
χ40222222222222222222-2-222-2-222222222-22-2222-2-2-2-222-2-2-2-222-2-2-2-200-22-22000000000000000000-2-22222-2-2000000000000000000000000000000000000002-2-22
χ41222222222222222222-2-2-2-22222-2-2-2-2-22-2-22-2-2-2-2-222-2-2-2-2-2-222222200-222-20000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000−2i2i−2i2i
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χ43222222222222222222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-22-2-2-2-222-22-22-2-222-2-2002-22200000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000−2i2i2i−2i0000000000000000
χ44222222222222222222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-22-2-2-2-222-22-22-2-222-2-2002-2220000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000002i−2i−2i2i0000000000000000
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χ9488888-8-888-8-8888-8-800-8-80000000000008000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ95888-8-80000008-8000008-8440000-4-400000400000000000000004-4000000000000000000000000000000000000000000002-22-20000000000002-22-2000000000000
χ96888-8-80000008-8000008-8440000-4-400000400000000000000004-400000000000000000000000000000000000000000000-22-22000000000000-22-22000000000000
χ97888-8-80000008-8000008-8-4-400004400000-40000000000000000-44000000000000000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000
χ98888-8-80000008-8000008-8-4-400004400000-40000000000000000-4400000000000000000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000
χ99888-8-80000008-800000-88440000-4-40000040000000000000000-44000000000000000000000000000000000000000000002-22-2000000000000-22-22000000000000
χ100888-8-80000008-800000-88440000-4-40000040000000000000000-4400000000000000000000000000000000000000000000-22-220000000000002-22-2000000000000
χ101888-8-80000008-800000-88-4-400004400000-400000000000000004-4000000000000000000000000000000000000000000002i−2i−2i2i000000000000−2i2i2i−2i000000000000
χ102888-8-80000008-800000-88-4-400004400000-400000000000000004-400000000000000000000000000000000000000000000−2i2i2i−2i0000000000002i−2i−2i2i000000000000
χ10388-88-800008-8000004400008-8-4-4000004000000000000000000004-4000000000000000000000000000000000000002-22-2000000002-22-200000000000000000000
χ10488-88-800008-8000004400008-8-4-4000004000000000000000000004-400000000000000000000000000000000000000-22-2200000000-22-2200000000000000000000
χ10588-88-800008-800000440000-88-4-400000400000000000000000000-44000000000000000000000000000000000000002-22-200000000-22-2200000000000000000000
χ10688-88-800008-800000440000-88-4-400000400000000000000000000-4400000000000000000000000000000000000000-22-22000000002-22-200000000000000000000
χ10788-88-800008-800000-4-400008-84400000-400000000000000000000-44000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000000000
χ10888-88-800008-800000-4-400008-84400000-400000000000000000000-4400000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000000000
χ10988-88-800008-800000-4-40000-884400000-4000000000000000000004-4000000000000000000000000000000000000002i−2i−2i2i00000000−2i2i2i−2i00000000000000000000
χ11088-88-800008-800000-4-40000-884400000-4000000000000000000004-400000000000000000000000000000000000000−2i2i2i−2i000000002i−2i−2i2i00000000000000000000
χ111161616-16-16000000-16160000000880000-8800000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ112161616-16-16000000-16160000000-8-800008-80000080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1131616-1616-160000-16160000088000000-8800000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141616-1616-160000-161600000-8-80000008-8000008000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1151616-16-16160016-160000000000000000000000000000000000000000000004-400004-4000000000000000000000000000000000000000000000000000000000000000000
χ1161616-16-16160016-16000000000000000000000000000000000000000000000-440000-44000000000000000000000000000000000000000000000000000000000000000000
χ1171616-16-161600-16160000000000000000000000000000000000000000000004-40000-44000000000000000000000000000000000000000000000000000000000000000000
χ1181616-16-161600-1616000000000000000000000000000000000000000000000-4400004-4000000000000000000000000000000000000000000000000000000000000000000
χ11916-160008-80000000008-8008-80000004400000-4-400000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000
χ12016-160008-80000000008-8008-80000004400000-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000
χ12116-160008-80000000008-800-88000000-4-4000004400000000000000000000000000000000000000000000000000000000000000000000000000000002-22-2-22-220000
χ12216-160008-80000000008-800-88000000-4-400000440000000000000000000000000000000000000000000000000000000000000000000000000000000-22-222-22-20000
χ12316-160008-8000000000-88008-8000000-4-4000004400000000000000000000000000000000000000000000000000000000000000000000000000000002-2-222-2-220000
χ12416-160008-8000000000-88008-8000000-4-400000440000000000000000000000000000000000000000000000000000000000000000000000000000000-222-2-222-20000
χ12516-160008-8000000000-8800-880000004400000-4-400000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000
χ12616-160008-8000000000-8800-880000004400000-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000
χ12732-32000-16160000000000000000000008-800000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12832-32000-1616000000000000000000000-88000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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