Finite Group Databasebeta

← Group #11775087

Character table — Group #11775087

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order12222233446666663444446666666666612121212121212121212121212121212121212121212121212124444888888884444444424242424242424244444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-11-11
χ5111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11111-11-11
χ8111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-111111-11-1
χ91111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111ii−i−iii−i−i-1-1-1-11-1-11ii−i−iii−i−i1ii−i−i-111-1
χ101111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−iii−i−iii-1-1-1-1-111-1−i−iii−i−iii1ii−i−i1-1-11
χ111111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1ii−i−i−i−iii111111-1-1ii−i−i−i−iii-1−i−iii-1-111
χ121111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1−i−iiiii−i−i1111-1-111−i−iiiii−i−i-1−i−iii11-1-1
χ131111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111ii−i−iii−i−i-1-1-1-1-111-1ii−i−iii−i−i1−i−iii1-1-11
χ141111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111−i−iii−i−iii-1-1-1-11-1-11−i−iii−i−iii1−i−iii-111-1
χ151111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1ii−i−i−i−iii1111-1-111ii−i−i−i−iii-1ii−i−i11-1-1
χ161111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−iiiii−i−i111111-1-1−i−iiiii−i−i-1ii−i−i-1-111
χ1722222222-2-22222222-2000022222222222-2-2-2-2-2-2-2-2-2-2000000000000000022220000000022-2-2000000000000-200000000
χ1822222222-2-22222222-2000022222222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-200000000-2-222000000000000200000000
χ192222222-1222-12-12-1-1222222-1-1-1-1-12-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000002222000002020000-1-1-1-1000000-10-1
χ202222222-1222-12-12-1-1222222-1-1-1-1-12-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-200000-20-200001111000000101
χ212222222-1222-12-12-1-12-2-2-2-22-1-1-1-1-12-1-1-1-122-1-12-1-1-1-1-1-2-2111111-2-211111100000000222200000-20-20000-1-1-1-1000000101
χ222222222-1222-12-12-1-12-2-2-2-22-1-1-1-1-12-1-1-1-122-1-12-1-1-1-1-1-2-2111111-2-211111100000000-2-2-2-20000020200001111000000-10-1
χ23222222-1222-12-12-12-122222-12-1-1-1-1-12-1-1-1-1-122-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100002222000000002020-1-1-1-1000000000-10-10
χ24222222-1222-12-12-12-122222-12-1-1-1-1-12-1-1-1-1-122-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000000-20-2011110000000001010
χ25222222-1222-12-12-12-12-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-12-1-1-1-111-2-2111111-2-211110000222200000000-20-20-1-1-1-10000000001010
χ26222222-1222-12-12-12-12-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-12-1-1-1-111-2-2111111-2-211110000-2-2-2-20000000020201111000000000-10-10
χ272222-2-222222222222-20000-2-222-2-2-2-22-2-22222-2-2-2-2220000000000000000222200000000-2-222000000000000-200000000
χ282222-2-222222222222-20000-2-222-2-2-2-22-2-22222-2-2-2-2220000000000000000-2-2-2-20000000022-2-2000000000000200000000
χ292222-2-22-1-2-22-12-12-1-122i2i−2i−2i-21-1-111-21-111-2-2112-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii000000002i2i−2i−2i00000-2020000−i−iii000000-101
χ302222-2-22-1-2-22-12-12-1-122i2i−2i−2i-21-1-111-21-111-2-2112-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00000000−2i−2i2i2i0000020-20000ii−i−i00000010-1
χ312222-2-22-1-2-22-12-12-1-12−2i−2i2i2i-21-1-111-21-111-2-2112-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i000000002i2i−2i−2i0000020-20000−i−iii00000010-1
χ322222-2-22-1-2-22-12-12-1-12−2i−2i2i2i-21-1-111-21-111-2-2112-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000−2i−2i2i2i00000-2020000ii−i−i000000-101
χ332222-2-2-12-2-2-12-12-12-122i2i−2i−2i1-2-1-1111-2-11111-2-2-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii00002i2i−2i−2i0000000020-20−i−iii00000000010-10
χ342222-2-2-12-2-2-12-12-12-122i2i−2i−2i1-2-1-1111-2-11111-2-2-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000−2i−2i2i2i00000000-2020ii−i−i000000000-1010
χ352222-2-2-12-2-2-12-12-12-12−2i−2i2i2i1-2-1-1111-2-11111-2-2-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i00002i2i−2i−2i00000000-2020−i−iii000000000-1010
χ362222-2-2-12-2-2-12-12-12-12−2i−2i2i2i1-2-1-1111-2-11111-2-2-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000−2i−2i2i2i0000000020-20ii−i−i00000000010-10
χ372-22-22-2220022-2-2-2-2200000222-222-2-2-2-2-20000000000000000000000000022-2-22−22−22−22−22-20000002−22−22−22−2000000000
χ382-22-22-2220022-2-2-2-2200000222-222-2-2-2-2-20000000000000000000000000022-2-2−22−22−22−222-2000000−22−22−22−22000000000
χ392-22-22-2220022-2-2-2-2200000222-222-2-2-2-2-200000000000000000000000000-2-2222−22−2−22−22-220000002−22−2−22−22000000000
χ402-22-22-2220022-2-2-2-2200000222-222-2-2-2-2-200000000000000000000000000-2-222−22−222−22−2-22000000−22−222−22−2000000000
χ412-22-2-22220022-2-2-2-2200000-2-22-2-2-222-2220000000000000000000000000022-2-2i2−i2−i2i2i2−i2−i2i2-22000000i2−i2−i2i2i2−i2−i2i2000000000
χ422-22-2-22220022-2-2-2-2200000-2-22-2-2-222-2220000000000000000000000000022-2-2−i2i2i2−i2−i2i2i2−i2-22000000−i2i2i2−i2−i2i2i2−i2000000000
χ432-22-2-22220022-2-2-2-2200000-2-22-2-2-222-22200000000000000000000000000-2-222i2−i2−i2i2−i2i2i2−i22-2000000i2−i2−i2i2−i2i2i2−i2000000000
χ442-22-2-22220022-2-2-2-2200000-2-22-2-2-222-22200000000000000000000000000-2-222−i2i2i2−i2i2−i2−i2i22-2000000−i2i2i2−i2i2−i2−i2i2000000000
χ452-2-2200222i−2i-2-222-2-2201+i−1−i1−i−1+i00-220000-2002i−2i2i−2i00002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i2i−2i2i−2i00000000002-200000000000001−i−1+i1+i−1−i0000
χ462-2-2200222i−2i-2-222-2-2201+i−1−i1−i−1+i00-220000-2002i−2i2i−2i00002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i−2i2i−2i2i0000000000-220000000000000−1+i1−i−1−i1+i0000
χ472-2-2200222i−2i-2-222-2-220−1−i1+i−1+i1−i00-220000-2002i−2i2i−2i00002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i2i−2i2i−2i00000000002-20000000000000−1+i1−i−1−i1+i0000
χ482-2-2200222i−2i-2-222-2-220−1−i1+i−1+i1−i00-220000-2002i−2i2i−2i00002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−2i2i−2i2i0000000000-2200000000000001−i−1+i1+i−1−i0000
χ492-2-220022−2i2i-2-222-2-2201−i−1+i1+i−1−i00-220000-200−2i2i−2i2i0000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i2i−2i2i−2i0000000000-220000000000000−1−i1+i−1+i1−i0000
χ502-2-220022−2i2i-2-222-2-2201−i−1+i1+i−1−i00-220000-200−2i2i−2i2i0000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i−2i2i−2i2i00000000002-200000000000001+i−1−i1−i−1+i0000
χ512-2-220022−2i2i-2-222-2-220−1+i1−i−1−i1+i00-220000-200−2i2i−2i2i0000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i2i−2i2i−2i0000000000-2200000000000001+i−1−i1−i−1+i0000
χ522-2-220022−2i2i-2-222-2-220−1+i1−i−1−i1+i00-220000-200−2i2i−2i2i0000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−2i2i−2i2i00000000002-20000000000000−1−i1+i−1+i1−i0000
χ534444444-2-4-44-24-24-2-2-400004-2-2-2-2-24-2-2-2-2-4-422-42222200000000000000000000000000000000000000000000000000000
χ54444444-24-4-4-24-24-24-2-40000-24-2-2-2-2-24-2-2-222-4-42-4222200000000000000000000000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2144444-2-21111-2-2111-2-2-2-2-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000000
χ56444444-2-244-2-2-2-2-2-214-4-4-4-4-2-21111-2-2111-2-2-2-2-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000000
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χ834-4-4400-2-24i−4i22-2-222102+2i−2−2i2−2i−2+2i00-113-300-13-3−2i2i−2i2i003i−3ii−i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i0000000000000000000000000000000000000
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χ854-4-4400-2-24i−4i22-2-22210−2−2i2+2i−2+2i2−2i00-113-300-13-3−2i2i−2i2i003i−3ii−i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i1−i−1+i1−i−1+i−2−i1+2i2+i−1−2i0000000000000000000000000000000000000
χ864-4-4400-2-24i−4i22-2-22210−2−2i2+2i−2+2i2−2i00-11-3300-1-33−2i2i−2i2i00−3i3ii−i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i0000000000000000000000000000000000000
χ874-4-4400-2-2−4i4i22-2-222102−2i−2+2i2+2i−2−2i00-113-300-13-32i−2i2i−2i00−3i3i−ii−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i0000000000000000000000000000000000000
χ884-4-4400-2-2−4i4i22-2-222102−2i−2+2i2+2i−2−2i00-11-3300-1-332i−2i2i−2i003i−3i−ii−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i−1−i1+i−1−i1+i−1+2i2−i1−2i−2+i0000000000000000000000000000000000000
χ894-4-4400-2-2−4i4i22-2-22210−2+2i2−2i−2−2i2+2i00-113-300-13-32i−2i2i−2i00−3i3i−ii1−i−1+i1−i−1+i−2−i1+2i2+i−1−2i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i0000000000000000000000000000000000000
χ904-4-4400-2-2−4i4i22-2-22210−2+2i2−2i−2−2i2+2i00-11-3300-1-332i−2i2i−2i003i−3i−ii1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i0000000000000000000000000000000000000
χ9188-8-8008-400-84-848-4-40000000440000-400000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-48004-84-8-48-40000000440000-400000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-4004444-4-420000000-2-26-6002-66000000000000000000000000000000000000000000000000000000000000000
χ9488-8-800-4-4004444-4-420000000-2-2-660026-6000000000000000000000000000000000000000000000000000000000000000
χ958-88-88-8-4-400-4-44444200000-4-42-22244-2-2-2000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-88-4-400-4-44444200000442-2-2-2-4-4-222000000000000000000000000000000000000000000000000000000000000000

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