Finite Group Databasebeta

← Group #13016479

Character table — Group #13016479

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222224444444444444444444444444455555555888888888888888888888888101010101010101020202020202020202020202020202020202020202020202020204040404040404040
order12224444222244442444444444510101010101010202020202020202044444444101010102020202020202020202020202020202020202020444444444444444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ5111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ911111111-1-1-1-1-1-1-1-111iiii−i−i−i−i111-1-1-1-111111-1-1-1-11111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111iiii−i−i−i−i111-1-1-1-111111-1-1-1-11111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ1211111111-1-1-1-1-1-1-1-111iiii−i−i−i−i111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iii
χ1311111111-1-1-1-1-1-1-1-111−i−i−i−iiiii111-1-1-1-111111-1-1-1-11111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-111−i−i−i−iiiii111-1-1-1-111111-1-1-1-11111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-111−i−i−i−iiiii111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ1611111111-1-1-1-1-1-1-1-111−i−i−i−iiiii111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i
χ171111-1-1-1-111-1-111-1-1-11ii−i−iii−i−i111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-1111-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1i−ii−ii−ii−i
χ181111-1-1-1-111-1-111-1-1-11ii−i−iii−i−i111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-1111-1ii−i−iii−i−i-1-111-1-111-1-111-1-111−ii−ii−ii−ii
χ191111-1-1-1-111-1-111-1-1-11ii−i−iii−i−i111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-11-111-11-1
χ201111-1-1-1-111-1-111-1-1-11ii−i−iii−i−i111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1-11−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11
χ211111-1-1-1-111-1-111-1-1-11−i−iii−i−iii111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-1111-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−ii−ii−ii−ii
χ221111-1-1-1-111-1-111-1-1-11−i−iii−i−iii111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-1111-1−i−iii−i−iii-1-111-1-111-1-111-1-111i−ii−ii−ii−i
χ231111-1-1-1-111-1-111-1-1-11−i−iii−i−iii111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1-11ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-11-1-11-11
χ241111-1-1-1-111-1-111-1-1-11−i−iii−i−iii111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-11-111-11-1
χ251111-1-1-1-1-1-111-1-111-1111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ261111-1-1-1-1-1-111-1-111-1111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ271111-1-1-1-1-1-111-1-111-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-11-1-11111-1-111-1-1-1-111-1-11111-1-1-111-11-1-11
χ281111-1-1-1-1-1-111-1-111-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-11-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11-111-1
χ291111-1-1-1-1-1-111-1-111-11-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-11-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ301111-1-1-1-1-1-111-1-111-11-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-11-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ311111-1-1-1-1-1-111-1-111-11-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11-111-1
χ321111-1-1-1-1-1-111-1-111-11-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1111-1-1-1-111-1-11111-1-111-1-1-1-111-111-11-1-11
χ332222222222-2-2-2-222-2-200000000222-2-2-2-222222-2-2-2-222222222-2-2220000000000000000-2-222-2-222-2-222-2-200000000000000000000000000000000
χ342222222222-2-2-2-222-2-200000000222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000000000000000-2-22222-2-222-2-22200000000000000000000000000000000
χ3522222222-2-22222-2-2-2-200000000222222222222222222222222-2-2-2-20000000000000000-2-2-2-222-2-222-2-2-2-200000000000000000000000000000000
χ3622222222-2-22222-2-2-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-222-2-2222200000000000000000000000000000000
χ372222-2-2-2-22222-2-2-2-22-20000000022222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-2-2-2-2-2-2-22222-2200000000000000000000000000000000
χ382222-2-2-2-22222-2-2-2-22-20000000022222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-22222-2-2-2-22-200000000000000000000000000000000
χ392222-2-2-2-2-2-2-2-222222-200000000222-2-2-2-22-2-2-2-222222222-2-2-2-222-2-20000000000000000-2-2222222-2-2-2-2-2200000000000000000000000000000000
χ402222-2-2-2-2-2-2-2-222222-200000000222-2-2-2-22-2-2-2-22222-2-2-2-2222222-2-20000000000000000-2-222-2-2-2-222222-200000000000000000000000000000000
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χ422-22-22i2i−2i−2i002-22i−2i00000000000022-222-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i22-2-20000000000000000000000002-2002i−2i000000000000−i2i2−22−22−i2i2−22−i2i2−i2i2−2200000000
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χ512-22-2−2i−2i2i2i002-2−2i2i00000000000022-222-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000002-200−2i2i000000000000i2−i2−22−22i2−i2−22i2−i2i2−i2−2200000000
χ522-22-2−2i−2i2i2i002-2−2i2i00000000000022-222-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000002-200−2i2i000000000000−i2i22−22−2−i2i22−2−i2i2−i2i22−200000000
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χ552-22-2−2i−2i2i2i00-222i−2i00000000000022-2-2-222-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-2000000000000000000000000-22002i−2i0000000000002−2i2−i2−i2i2−22i2−i22−2−22−i2i200000000
χ562-22-2−2i−2i2i2i00-222i−2i00000000000022-2-2-222-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-2000000000000000000000000-22002i−2i000000000000−22−i2i2i2−i22−2−i2i2−222−2i2−i200000000
χ572-2-222i−2i2i−2i2-200002i−2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i2-220000-22i−2i2i−2i00002-22-22i−2i2i−2i002-21+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002i−2i002i−2i002-2001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000000000000000000000
χ582-2-222i−2i2i−2i2-200002i−2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i2-220000-22i−2i2i−2i0000-22-22−2i2i−2i2i002-21+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002i−2i00−2i2i00-2200−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000000000000000000000
χ592-2-222i−2i2i−2i2-200002i−2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i2-220000-22i−2i2i−2i00002-22-22i−2i2i−2i002-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002i−2i002i−2i002-200−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000000000000000000000
χ602-2-222i−2i2i−2i2-200002i−2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i2-220000-22i−2i2i−2i0000-22-22−2i2i−2i2i002-2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002i−2i00−2i2i00-22001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000000000000000000000
χ612-2-222i−2i2i−2i-220000−2i2i001−i−1+i−1−i1+i−1+i1−i1+i−1−i2-220000-22i−2i2i−2i00002-22-22i−2i2i−2i00-221−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i00−2i2i00−2i2i00-22001−i−1+i−1−i1+i−1+i1−i1+i−1−i000000000000000000000000
χ622-2-222i−2i2i−2i-220000−2i2i001−i−1+i−1−i1+i−1+i1−i1+i−1−i2-220000-22i−2i2i−2i0000-22-22−2i2i−2i2i00-221−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i00−2i2i002i−2i002-200−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000000000000000000000
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χ11088-8-88-8-88000000000000000000-222−252525−25-2-222-2−252525−2500000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-888-8000000000000000000-22225−25−2525-22-2-22−252525−2500000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-888-8000000000000000000-222−252525−25-22-2-2225−25−252500000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88i8i−8i−8i008-88i−8i000000000000-2-22-2-2222−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-88i8i−8i−8i00-88−8i8i000000000000-2-2222-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8−8i−8i8i8i008-8−8i8i000000000000-2-22-2-22222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8−8i−8i8i8i00-888i−8i000000000000-2-2222-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.