Finite Group Databasebeta

← Group #110772

Character table — Group #110772

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12224444222222444444444444444444444444444444444444444444444444444444444444444444444444442444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ101111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii
χ111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii
χ121111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i
χ131111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i−i−iii
χ141111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iiiii−i−i
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ171111-1-1-1-1-1-111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i1-11-1i−ii−i
χ181111-1-1-1-1-1-111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-11-11−ii−ii
χ191111-1-1-1-1-1-111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-11-1i−ii−i-11-11−ii−ii
χ201111-1-1-1-1-1-111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-11-11−ii−ii1-11-1i−ii−i
χ211111-1-1-1-1-1-111-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii1-11-1−ii−ii
χ221111-1-1-1-1-1-111-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-11-11i−ii−i
χ231111-1-1-1-1-1-111-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-11-1−ii−ii-11-11i−ii−i
χ241111-1-1-1-1-1-111-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-11-11i−ii−i1-11-1−ii−ii
χ251111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1-11i−i−iii−i−ii-111-1
χ261111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-111-1−iii−i−iii−i1-1-11
χ271111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1-11i−i−ii−iii−i1-1-11
χ281111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-111-1−iii−ii−i−ii-111-1
χ291111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1-11−iii−ii−i−ii1-1-11
χ301111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-111-1i−i−ii−iii−i-111-1
χ311111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1-11−iii−i−iii−i-111-1
χ321111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-111-1i−i−iii−i−ii1-1-11
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χ34222222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ352222222222-2-2-2-222-2-222-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ362222222222-2-2-2-222-2-222-2-222-2-2-2-2-2-2-2-2222222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ3722222222-2-222-2-2-2-2-2-22222220000000000000000-2-2-2-22-22-20000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ3822222222-2-222-2-2-2-2-2-22222220000000000000000-2-2-2-22-22-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3922222222-2-222-2-2-2-2-2-2-2-222-2-200000000000000002222-22-220000000022-2-222-2-222-2-222-2-200000000000000000000000000000000
χ4022222222-2-222-2-2-2-2-2-2-2-222-2-200000000000000002222-22-2200000000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ4122222222-2-2-2-222-2-22222-2-2220000000000000000-2-2-2-2-22-22000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ4222222222-2-2-2-222-2-22222-2-2220000000000000000-2-2-2-2-22-2200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ4322222222-2-2-2-222-2-222-2-2-2-2-2-2000000000000000022222-22-200000000000000000000000022-2-222-2-2-2-222-2-2220000000000000000
χ4422222222-2-2-2-222-2-222-2-2-2-2-2-2000000000000000022222-22-2000000000000000000000000-2-222-2-22222-2-222-2-20000000000000000
χ452222-2-2-2-2222222-2-2-2-222-2-2-2-20000000000000000-2-2222-2-2200000000000000000000000022-2-2-2-22222-2-2-2-2220000000000000000
χ462222-2-2-2-2222222-2-2-2-222-2-2-2-20000000000000000-2-2222-2-22000000000000000000000000-2-22222-2-2-2-22222-2-20000000000000000
χ472222-2-2-2-2222222-2-2-2-2-2-2-2-222000000000000000022-2-2-222-20000000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ482222-2-2-2-2222222-2-2-2-2-2-2-2-222000000000000000022-2-2-222-200000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ492222-2-2-2-222-2-2-2-2-2-2222222-2-20000000000000000-2-222-222-2000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ502222-2-2-2-222-2-2-2-2-2-2222222-2-20000000000000000-2-222-222-200000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ512222-2-2-2-222-2-2-2-2-2-222-2-22222000000000000000022-2-22-2-220000000000000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ522222-2-2-2-222-2-2-2-2-2-222-2-22222000000000000000022-2-22-2-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000
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χ542222-2-2-2-2-2-222-2-22222-2-2-2-222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-2-222-2-2222i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ552222-2-2-2-2-2-2-2-22222-2-22222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i22-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-22222-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i22-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ5722-2-222-2-22-200002-2002i−2i002i−2i0000000022-2-222-2-22i−2i2i−2i00002i−2i2i−2i00001+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
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χ6022-2-222-2-22-200002-2002i−2i002i−2i00000000-2-222-2-2222i−2i2i−2i0000−2i2i−2i2i0000−1−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
χ6122-2-222-2-22-200002-200−2i2i00−2i2i0000000022-2-222-2-2−2i2i−2i2i0000−2i2i−2i2i00001−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
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χ6322-2-222-2-22-200002-200−2i2i00−2i2i00000000-2-222-2-222−2i2i−2i2i00002i−2i2i−2i00001−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
χ6422-2-222-2-22-200002-200−2i2i00−2i2i00000000-2-222-2-222−2i2i−2i2i00002i−2i2i−2i0000−1+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
χ6522-2-222-2-2-220000-22002i−2i002i−2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i000000002-22-21−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i0000000000000000
χ6622-2-222-2-2-220000-22002i−2i002i−2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i000000002-22-2−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i0000000000000000
χ6722-2-222-2-2-220000-22002i−2i002i−2i−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i00000000-22-221−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i0000000000000000
χ6822-2-222-2-2-220000-22002i−2i002i−2i−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i00000000-22-22−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i0000000000000000
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χ7022-2-222-2-2-220000-2200−2i2i00−2i2i2i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i00000000-22-22−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i0000000000000000
χ7122-2-222-2-2-220000-2200−2i2i00−2i2i−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i000000002-22-21+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i0000000000000000
χ7222-2-222-2-2-220000-2200−2i2i00−2i2i−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i000000002-22-2−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i0000000000000000
χ7322-2-2-2-2222-20000-22002i−2i00−2i2i22-2-2-2-22200000000−2i2i2i−2i00000000−2i2i2i−2i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i0000000000000000
χ7422-2-2-2-2222-20000-22002i−2i00−2i2i22-2-2-2-22200000000−2i2i2i−2i00000000−2i2i2i−2i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i0000000000000000
χ7522-2-2-2-2222-20000-22002i−2i00−2i2i-2-22222-2-200000000−2i2i2i−2i000000002i−2i−2i2i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i0000000000000000
χ7622-2-2-2-2222-20000-22002i−2i00−2i2i-2-22222-2-200000000−2i2i2i−2i000000002i−2i−2i2i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i0000000000000000
χ7722-2-2-2-2222-20000-2200−2i2i002i−2i22-2-2-2-222000000002i−2i−2i2i000000002i−2i−2i2i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i0000000000000000
χ7822-2-2-2-2222-20000-2200−2i2i002i−2i22-2-2-2-222000000002i−2i−2i2i000000002i−2i−2i2i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i0000000000000000
χ7922-2-2-2-2222-20000-2200−2i2i002i−2i-2-22222-2-2000000002i−2i−2i2i00000000−2i2i2i−2i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i0000000000000000
χ8022-2-2-2-2222-20000-2200−2i2i002i−2i-2-22222-2-2000000002i−2i−2i2i00000000−2i2i2i−2i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i0000000000000000
χ8122-2-2-2-222-2200002-2002i−2i00−2i2i000000002i2i−2i−2i−2i−2i2i2i2i−2i−2i2i0000-222-200001+i−1−i1+i−1−i−1−i1+i−1−i1+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
χ8222-2-2-2-222-2200002-2002i−2i00−2i2i000000002i2i−2i−2i−2i−2i2i2i2i−2i−2i2i0000-222-20000−1−i1+i−1−i1+i1+i−1−i1+i−1−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
χ8322-2-2-2-222-2200002-2002i−2i00−2i2i00000000−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i00002-2-2200001+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−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i0000000000000000
χ8422-2-2-2-222-2200002-2002i−2i00−2i2i00000000−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i00002-2-220000−1−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+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i0000000000000000
χ8522-2-2-2-222-2200002-200−2i2i002i−2i000000002i2i−2i−2i−2i−2i2i2i−2i2i2i−2i00002-2-2200001−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+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i0000000000000000
χ8622-2-2-2-222-2200002-200−2i2i002i−2i000000002i2i−2i−2i−2i−2i2i2i−2i2i2i−2i00002-2-220000−1+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−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i0000000000000000
χ8722-2-2-2-222-2200002-200−2i2i002i−2i00000000−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i0000-222-200001−i−1+i1−i−1+i−1+i1−i−1+i1−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
χ8822-2-2-2-222-2200002-200−2i2i002i−2i00000000−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i0000-222-20000−1+i1−i−1+i1−i1−i−1+i1−i−1+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
χ894-44-44i−4i4i−4i00004-4004i−4i0000002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i2−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i0000000000000000000000000000000000000000000000000000000000000000
χ904-44-44i−4i4i−4i00004-4004i−4i000000−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i0000000000000000000000000000000000000000000000000000000000000000
χ914-44-44i−4i4i−4i0000-4400−4i4i0000002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i0000000000000000000000000000000000000000000000000000000000000000
χ924-44-44i−4i4i−4i0000-4400−4i4i000000−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i2−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i0000000000000000000000000000000000000000000000000000000000000000
χ934-44-4−4i4i−4i4i00004-400−4i4i0000002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i2+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i0000000000000000000000000000000000000000000000000000000000000000
χ944-44-4−4i4i−4i4i00004-400−4i4i000000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i0000000000000000000000000000000000000000000000000000000000000000
χ954-44-4−4i4i−4i4i0000-44004i−4i0000002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i0000000000000000000000000000000000000000000000000000000000000000
χ964-44-4−4i4i−4i4i0000-44004i−4i000000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i2+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i0000000000000000000000000000000000000000000000000000000000000000
χ974-4-444i−4i−4i4i004-4000000004i−4i002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i0000000000000000000000000000000000000000000000000000000000000000
χ984-4-444i−4i−4i4i004-4000000004i−4i00−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i0000000000000000000000000000000000000000000000000000000000000000
χ994-4-444i−4i−4i4i00-4400000000−4i4i002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i0000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444i−4i−4i4i00-4400000000−4i4i00−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i0000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44−4i4i4i−4i004-400000000−4i4i002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i0000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44−4i4i4i−4i004-400000000−4i4i00−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i0000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44−4i4i4i−4i00-44000000004i−4i002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i0000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44−4i4i4i−4i00-44000000004i−4i00−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i0000000000000000000000000000000000000000000000000000000000000000

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