Finite Group Databasebeta

← Group #11775094

Character table — Group #11775094

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order1222223344666666346666666888812121212121212126612121212242424242424242424242424242424244444444444444444444412121212121212124888812121212
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
χ51111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11111-11-11
χ81111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-111111-11-1
χ91111-1-111-1-111111111-1-1111-1-1ii−i−i-1-1-1-1-1-1-1-1-1-11111iiiiiiii−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
χ101111-1-111-1-111111111-1-1111-1-1ii−i−i-1-1-1-1-1-1-1-1-1-11111iiiiiiii−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
χ111111-1-111-1-111111111-1-1111-1-1ii−i−i-1-1-1-1-1-1-1-1-1-11111iiiiiiii−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
χ121111-1-111-1-111111111-1-1111-1-1ii−i−i-1-1-1-1-1-1-1-1-1-11111iiiiiiii−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
χ131111-1-111-1-111111111-1-1111-1-1−i−iii-1-1-1-1-1-1-1-1-1-11111−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
χ141111-1-111-1-111111111-1-1111-1-1−i−iii-1-1-1-1-1-1-1-1-1-11111−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
χ151111-1-111-1-111111111-1-1111-1-1−i−iii-1-1-1-1-1-1-1-1-1-11111−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
χ161111-1-111-1-111111111-1-1111-1-1−i−iii-1-1-1-1-1-1-1-1-1-11111−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
χ1722222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-2000000000000000022220000000022-2-2000000000000-200000000
χ1822222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-2-2-200000000-2-222000000000000200000000
χ192222222-1222-12-12-1-122-1-1-1-12-1222222-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000002222000002020000-1-1-1-1000000-10-1
χ202222222-1222-12-12-1-122-1-1-1-12-1222222-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-200000-20-200001111000000101
χ212222222-1222-12-12-1-122-1-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-211111100000000222200000-20-20000-1-1-1-1000000101
χ222222222-1222-12-12-1-122-1-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-211111100000000-2-2-2-20000020200001111000000-10-1
χ23222222-1222-12-12-12-12-12-1-1-1-122222-1-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100002222000000002020-1-1-1-1000000000-10-10
χ24222222-1222-12-12-12-12-12-1-1-1-122222-1-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000000-20-2011110000000001010
χ25222222-1222-12-12-12-12-12-1-1-1-12-2-2-2-2-1-122-1-1-1-1-1-1-12-1-111-2-2111111-2-211110000222200000000-20-20-1-1-1-10000000001010
χ26222222-1222-12-12-12-12-12-1-1-1-12-2-2-2-2-1-122-1-1-1-1-1-1-12-1-111-2-2111111-2-211110000-2-2-2-20000000020201111000000000-10-10
χ272222-2-222222222222-2-2-2222-2-2000022222222-2-2-2-2-2-20000000000000000222200000000-2-222000000000000-200000000
χ282222-2-222222222222-2-2-2222-2-2000022222222-2-2-2-2-2-20000000000000000-2-2-2-20000000022-2-2000000000000200000000
χ292222-2-22-1-2-22-12-12-1-12-21-1-1-1-212i2i−2i−2i-2-2111111112-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii000000002i2i−2i−2i00000-2020000−i−iii000000-101
χ302222-2-22-1-2-22-12-12-1-12-21-1-1-1-212i2i−2i−2i-2-2111111112-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii00000000−2i−2i2i2i0000020-20000ii−i−i00000010-1
χ312222-2-22-1-2-22-12-12-1-12-21-1-1-1-21−2i−2i2i2i-2-2111111112-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i000000002i2i−2i−2i0000020-20000−i−iii00000010-1
χ322222-2-22-1-2-22-12-12-1-12-21-1-1-1-21−2i−2i2i2i-2-2111111112-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000−2i−2i2i2i00000-2020000ii−i−i000000-101
χ332222-2-2-12-2-2-12-12-12-121-2-1-1-11-22i2i−2i−2i11-2-2111111-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii00002i2i−2i−2i0000000020-20−i−iii00000000010-10
χ342222-2-2-12-2-2-12-12-12-121-2-1-1-11-22i2i−2i−2i11-2-2111111-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii0000−2i−2i2i2i00000000-2020ii−i−i000000000-1010
χ352222-2-2-12-2-2-12-12-12-121-2-1-1-11-2−2i−2i2i2i11-2-2111111-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i00002i2i−2i−2i00000000-2020−i−iii000000000-1010
χ362222-2-2-12-2-2-12-12-12-121-2-1-1-11-2−2i−2i2i2i11-2-2111111-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i0000−2i−2i2i2i0000000020-20ii−i−i00000000010-10
χ372-22-22-2220022-2-2-2-220222-2-2-2-22−22−2000000002-200002−22−222−2−22−22−222−2−222-2-2000000002-20000000000000002−22−20000
χ382-22-22-2220022-2-2-2-220222-2-2-2-22−22−2000000002-200002−22−222−2−22−22−222−2−2-2-22200000000-22000000000000000−22−220000
χ392-22-22-2220022-2-2-2-220222-2-2-2-2−22−22000000002-20000−22−22−2−222−22−22−2−22222-2-2000000002-2000000000000000−22−220000
χ402-22-22-2220022-2-2-2-220222-2-2-2-2−22−22000000002-20000−22−22−2−222−22−22−2−222-2-22200000000-220000000000000002−22−20000
χ412-22-2-22220022-2-2-2-220-2-22-2-222i2−i2−i2i200000000-220000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i222-2-200000000-22000000000000000i2−i2−i2i20000
χ422-22-2-22220022-2-2-2-220-2-22-2-222i2−i2−i2i200000000-220000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2-2-222000000002-2000000000000000−i2i2i2−i20000
χ432-22-2-22220022-2-2-2-220-2-22-2-222−i2i2i2−i200000000-220000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i222-2-200000000-22000000000000000−i2i2i2−i20000
χ442-22-2-22220022-2-2-2-220-2-22-2-222−i2i2i2−i200000000-220000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2-2-222000000002-2000000000000000i2−i2−i2i20000
χ452-2-2200222i−2i-2-222-2-22000-22-20000002i−2i2i−2i2i2i−2i−2i00000000000000000000002i−2i2i−2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i002-200001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000000
χ462-2-2200222i−2i-2-222-2-22000-22-20000002i−2i2i−2i2i2i−2i−2i00000000000000000000002i−2i2i−2i−1+i1−i−1−i1+i−1−i1+i−1+i1−i002-20000−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000000
χ472-2-2200222i−2i-2-222-2-22000-22-20000002i−2i2i−2i2i2i−2i−2i0000000000000000000000−2i2i−2i2i1−i−1+i1+i−1−i−1−i1+i−1+i1−i00-2200001−i−1+i1+i−1−i−1−i1+i−1+i1−i000000000
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χ492-2-220022−2i2i-2-222-2-22000-22-2000000−2i2i−2i2i−2i−2i2i2i00000000000000000000002i−2i2i−2i1+i−1−i1−i−1+i−1+i1−i−1−i1+i00-2200001+i−1−i1−i−1+i−1+i1−i−1−i1+i000000000
χ502-2-220022−2i2i-2-222-2-22000-22-2000000−2i2i−2i2i−2i−2i2i2i00000000000000000000002i−2i2i−2i−1−i1+i−1+i1−i1−i−1+i1+i−1−i00-220000−1−i1+i−1+i1−i1−i−1+i1+i−1−i000000000
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χ522-2-220022−2i2i-2-222-2-22000-22-2000000−2i2i−2i2i−2i−2i2i2i0000000000000000000000−2i2i−2i2i−1−i1+i−1+i1−i−1+i1−i−1−i1+i002-20000−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000000
χ534444444-2-4-44-24-24-2-2-44-2-2-2-24-20000-4-4222222-2-2-422200000000000000000000000000000000000000000000000000000
χ54444444-24-4-4-24-24-24-2-4-24-2-2-2-24000022-4-42222-2-22-42200000000000000000000000000000000000000000000000000000
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χ56444444-2-244-2-2-2-2-2-214-2-2111-2-2-4-4-4-4-2-2-2-2111111-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-4-2-2111-2-200002222-1-1-1-11122-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000000
χ58444444-2-2-4-4-2-2-2-2-2-21-4-2-2111-2-200002222-1-1-1-11122-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000000
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χ784-44-4-44-2400-242-42-4-202-4-222-24−2i22i22i2−2i2000000002-20000i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ794-44-4-44-2-200-2-2222210221-1-1-2-22i2−2i2−2i22i200003i−3i3i−3i-1100−3i3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ804-44-4-44-2-200-2-2222210221-1-1-2-22i2−2i2−2i22i20000−3i3i−3i3i-11003i−3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ814-44-4-44-2-200-2-2222210221-1-1-2-2−2i22i22i2−2i200003i−3i3i−3i-1100−3i3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ824-44-4-44-2-200-2-2222210221-1-1-2-2−2i22i22i2−2i20000−3i3i−3i3i-11003i−3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ834-4-44004-24i−4i-424-2-42-20002-220000004i−4i−2i2i−2i−2i2i2i0000000000000000000000000000002+2i−2−2i2−2i−2+2i000000000000−1−i1+i−1+i1−i000000000
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χ884-4-4400-244i−4i2-4-242-4-20002-22000000−2i2i4i−4i−2i−2i2i2i00000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000001−i−1+i1+i−1−i0000000000000
χ894-4-4400-24−4i4i2-4-242-4-20002-220000002i−2i−4i4i2i2i−2i−2i000000000000000000000000002+2i−2−2i2−2i−2+2i000000000000−1−i1+i−1+i1−i0000000000000
χ904-4-4400-24−4i4i2-4-242-4-20002-220000002i−2i−4i4i2i2i−2i−2i00000000000000000000000000−2−2i2+2i−2+2i2−2i0000000000001+i−1−i1−i−1+i0000000000000
χ9188-8-8008-400-84-848-4-400044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-48004-84-8-48-400044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-4004444-4-42000-2-2200000000006-6-6600000000000000000000000000000000000000000000000000000000000
χ9488-8-800-4-4004444-4-42000-2-220000000000-666-600000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-48i−8i44-4-4442000-22-2000000−4i4i−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4−8i8i44-4-4442000-22-20000004i−4i4i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.