Finite Group Databasebeta

← Group #11799391

Character table — Group #11799391

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222222222222224444444444444444444444444444444444444444444444444444444444444443636363636363636484848484848484848484848
order12233446666881212161616163666681212121212121216162424242424242424242424242424242448484848484848484848484848484848484848484848484848484848484848482488161616162266668824242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111-1-1-1-11111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11-111-1-1
χ6111111111111111-1-1-1-11111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-11-1-111
χ7111111111111111-1-1-1-11111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-11-1-111
χ8111111111111111-1-1-1-11111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111-111-1-1
χ922222222222-2-222000022222-2222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-20000000000000000
χ1022222222222-2-222000022222-2222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2220000000000000000
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χ1222222-2-2222200-2-222−2−2222220-2-2-2-2-2-2-22−200000000000000002222222222222222−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−200−2i2ii2i2−i2−i2000000000000
χ1322222-2-2222200-2-2−2−222222220-2-2-2-2-2-2-2−220000000000000000−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−22222222222222222002i−2ii2i2−i2−i2000000000000
χ1422222-2-2222200-2-2−2−222222220-2-2-2-2-2-2-2−220000000000000000−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2−2222222222222222200−2i2i−i2−i2i2i2000000000000
χ152222-122-1-12-122222222-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1000000
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χ182222-122-1-12-12222-2-2-2-2-12-1-1-12-1-1-12-1-1-1-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000-2211-1-1000000
χ19222-122222-1222-1-12222-1-1-1-1-122-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000022-1-1-1-1
χ20222-122222-1222-1-12222-1-1-1-1-122-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000-2-21111
χ21222-122222-1222-1-1-2-2-2-2-1-1-1-1-122-1-1-12-1-1-2-2-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000002-2-1-111
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χ2322-2222-2-2-22222-2-222222-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-22222-2-2-2-222-2-222-2-22222-2-2-2-200000000000000000000
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χ3622-2-122-2-2-2-1222112222-1111-1-2-211-12-1-1-2-211-2-21111-1-122-1-1-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-111110000000000000000−33−33
χ3722-2-122-2-2-2-122211-2-2-2-2-1111-1-2-211-12-1-12211-2-21111-1-122-1-1-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-100000000000000003−3−33
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χ44444-24-4-444-240022−22−222222-2-2-2-2-20-4222-422−222200000000000000002222−22−22−22−2222222222−2−2−2−222222222−2−2−2−2−2−2−2−200000000000000000000
χ45444-2-244-2-2-2-244-2-244441-21114-211-2-21144-2-2-2-21111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000
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χ48444-2-244-2-2-2-2-4-4-2-200001-2111-4-211-2-211002222-1-1-1-12222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000
χ49444-2-2-4-4-2-2-2-200222222−22−221-211102-1-122-1-122−2200003i3i−3i−3i00003i3i−3i−3i−2−2−2−2−2−2−2−2−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ46222222222ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ4600000000000000000000
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χ6044-4-2-24-422-2-24422-4-4-4-412-1-11-42-1-1-2-211442222-1-1-1-1-2-2-2-2111122-2-222-2-2-1-1-1-1111122-2-222-2-2-1-1-1-1111100000000000000000000
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χ994-40-2-2002i3−2i322−222223−232ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4710−i3i3-100−3300−3i3i00−66i6−i6−ζ14+ζ46ζ14−ζ46−ζ10+ζ26ζ10−ζ262−22−22ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ432ζ11+ζ13+ζ29+2ζ43−2ζ11−ζ13−ζ29−2ζ43−ζ11−2ζ13−2ζ29−ζ43ζ11+2ζ13+2ζ29+ζ43−ζ13+ζ29ζ13−ζ29−ζ11+ζ43ζ11−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25−2ζ31−ζ41−2ζ47ζ25+2ζ31+ζ41+2ζ472ζ25+ζ31+2ζ41+ζ47−2ζ25−ζ31−2ζ41−ζ47ζ25−ζ41−ζ25+ζ41−ζ31+ζ47ζ31−ζ4700000000000000000000
χ1004-40-2-2002i3−2i322−222223−23−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4710−i3i3-100−3300−3i3i00−66i6−i6−ζ14+ζ46ζ14−ζ46−ζ10+ζ26ζ10−ζ262−22−22ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−2ζ11−ζ13−ζ29−2ζ432ζ11+ζ13+ζ29+2ζ43ζ11+2ζ13+2ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ43ζ13−ζ29−ζ13+ζ29ζ11−ζ43−ζ11+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25+2ζ31+ζ41+2ζ47−ζ25−2ζ31−ζ41−2ζ47−2ζ25−ζ31−2ζ41−ζ472ζ25+ζ31+2ζ41+ζ47−ζ25+ζ41ζ25−ζ41ζ31−ζ47−ζ31+ζ4700000000000000000000
χ1014-40-2-2002i3−2i322−2222−23232ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4710−i3i3-1003−3003i−3i006−6i6−i6−ζ10+ζ26ζ10−ζ26−ζ14+ζ46ζ14−ζ462−22−2−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ43ζ11+2ζ13+2ζ29+ζ432ζ11+ζ13+ζ29+2ζ43−2ζ11−ζ13−ζ29−2ζ43−ζ11+ζ43ζ11−ζ43−ζ13+ζ29ζ13−ζ29−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ472ζ25+ζ31+2ζ41+ζ47−2ζ25−ζ31−2ζ41−ζ47−ζ25−2ζ31−ζ41−2ζ47ζ25+2ζ31+ζ41+2ζ47−ζ31+ζ47ζ31−ζ47ζ25−ζ41−ζ25+ζ4100000000000000000000
χ1024-40-2-2002i3−2i322−2222−2323−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4710−i3i3-1003−3003i−3i006−6i6−i6−ζ10+ζ26ζ10−ζ26−ζ14+ζ46ζ14−ζ462−22−2−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+2ζ13+2ζ29+ζ43−ζ11−2ζ13−2ζ29−ζ43−2ζ11−ζ13−ζ29−2ζ432ζ11+ζ13+ζ29+2ζ43ζ11−ζ43−ζ11+ζ43ζ13−ζ29−ζ13+ζ29ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−2ζ25−ζ31−2ζ41−ζ472ζ25+ζ31+2ζ41+ζ47ζ25+2ζ31+ζ41+2ζ47−ζ25−2ζ31−ζ41−2ζ47ζ31−ζ47−ζ31+ζ47−ζ25+ζ41ζ25−ζ4100000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.