Finite Group Databasebeta

← Group #11772969

Character table — Group #11772969

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222222222222224444444444444444444444444444444444444444444444444444444444444443636363636363636484848484848484848484848
order12233446666881212161616163666681212121212121216162424242424242424242424242424242448484848484848484848484848484848484848484848484848484848484848483232323232323232244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ511-111-111-1-1111-1-1-1-1-1-11-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1i−i11ii−i−i-1-1
χ611-111-111-1-1111-1-1-1-1-1-11-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-11−ii-1-1−i−iii11
χ711-111-111-1-1111-1-1-1-1-1-11-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1−ii11−i−iii-1-1
χ811-111-111-1-1111-1-1-1-1-1-11-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-11i−i-1-1ii−i−i11
χ9222222222222222-2-2-2-22222222222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000
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χ1222222-2-2222200-2-222−2−2222220-2-2-2-2-2-2-22−2000000000000000022222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000000
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χ172222-122222-122-1-12222-1-1-1-1-122-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-20011000011
χ182222-122222-122-1-1-2-2-2-2-1-1-1-1-122-1-12-1-1-1-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000−i3i30000−i3i3
χ192222-122222-122-1-1-2-2-2-2-1-1-1-1-122-1-12-1-1-1-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000i3−i30000i3−i3
χ20222-1222-1-1-1222222222-12-1-1-12-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000002200-1-1-1-100
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χ3522-2-12-22-111222-2-22222-1-211-1-2111-12-1-1-2-211-2-21111-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000003−3−3300
χ3622-2-12-22-111222-2-22222-1-211-1-2111-12-1-1-2-211-2-21111-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000000000−333−300
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χ48444-2-244-2-2-2-2-4-4-2-200001-2111-4-211-2-211002222-1-1-1-12222-1-1-1-10000−3i−3i3i3i0000−3i−3i3i3i0000−3i−3i3i3i0000−3i−3i3i3i00000000000000000000
χ49444-2-2-4-4-2-2-2-200222222−22−221-211102-1-122-1-122−2200003i3i−3i−3i00003i3i−3i−3i−2−2−2−2−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ4622222ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ46−2−2−2−2−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ4622222ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ4600000000000000000000
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χ5744-4-244-4-22240044−22−222222-2-422-20-2-2-22-42222−220000000000000000−2−22222−2−2−2−222−22−22222222−22−222222−2−22222−2−2−2−200000000000000000000
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χ964-40-2-20022i3−2i3222−2223−232ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ4310−i3i3-100−3300−3i3i00−i6i66−6ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26−22−22−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ41ζ25−ζ41ζ31−ζ47−ζ31+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ13+ζ29ζ13−ζ29−ζ11+ζ43ζ11−ζ43−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+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−2ζ11+ζ13+ζ29−2ζ432ζ11−ζ13−ζ29+2ζ43ζ11−2ζ13−2ζ29+ζ43−ζ11+2ζ13+2ζ29−ζ4300000000000000000000
χ974-40-2-20022i3−2i3222−22−2323−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4310−i3i3-1003−3003i−3i00−i6i6−66ζ10−ζ26−ζ10+ζ26−ζ14+ζ46ζ14−ζ46−22−22ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ31−ζ47−ζ31+ζ47−ζ25+ζ41ζ25−ζ41ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11+ζ43ζ11−ζ43−ζ13+ζ29ζ13−ζ29ζ25+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+2ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+2ζ13+2ζ29−ζ43ζ11−2ζ13−2ζ29+ζ432ζ11−ζ13−ζ29+2ζ43−2ζ11+ζ13+ζ29−2ζ4300000000000000000000
χ984-40-2-20022i3−2i3222−22−23232ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ4310−i3i3-1003−3003i−3i00−i6i6−66ζ10−ζ26−ζ10+ζ26−ζ14+ζ46ζ14−ζ46−22−22ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ31+ζ47ζ31−ζ47ζ25−ζ41−ζ25+ζ41−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11−ζ43−ζ11+ζ43ζ13−ζ29−ζ13+ζ29−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+ζ41−2ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−2ζ13−2ζ29+ζ43−ζ11+2ζ13+2ζ29−ζ43−2ζ11+ζ13+ζ29−2ζ432ζ11−ζ13−ζ29+2ζ4300000000000000000000
χ994-40-2-20022i3−2i32−222223−232ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4710−i3i3-100−3300−3i3i00i6−i6−66−ζ14+ζ46ζ14−ζ46ζ10−ζ26−ζ10+ζ262−22−22ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ13+ζ29ζ13−ζ29−ζ11+ζ43ζ11−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ41−ζ25+ζ41−ζ31+ζ47ζ31−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ432ζ11−ζ13−ζ29+2ζ43−2ζ11+ζ13+ζ29−2ζ43−ζ11+2ζ13+2ζ29−ζ43ζ11−2ζ13−2ζ29+ζ43−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+ζ4700000000000000000000
χ1004-40-2-20022i3−2i32−222223−23−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4710−i3i3-100−3300−3i3i00i6−i6−66−ζ14+ζ46ζ14−ζ46ζ10−ζ26−ζ10+ζ262−22−22ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ13−ζ29−ζ13+ζ29ζ11−ζ43−ζ11+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ41ζ25−ζ41ζ31−ζ47−ζ31+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−2ζ11+ζ13+ζ29−2ζ432ζ11−ζ13−ζ29+2ζ43ζ11−2ζ13−2ζ29+ζ43−ζ11+2ζ13+2ζ29−ζ43ζ25+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−ζ4700000000000000000000
χ1014-40-2-20022i3−2i32−2222−23232ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4710−i3i3-1003−3003i−3i00i6−i66−6−ζ10+ζ26ζ10−ζ26ζ14−ζ46−ζ14+ζ462−22−2−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11−ζ43−ζ11+ζ43ζ13−ζ29−ζ13+ζ29−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ31−ζ47−ζ31+ζ47−ζ25+ζ41ζ25−ζ41−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+2ζ13+2ζ29−ζ43ζ11−2ζ13−2ζ29+ζ432ζ11−ζ13−ζ29+2ζ43−2ζ11+ζ13+ζ29−2ζ43−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+ζ41−2ζ4700000000000000000000
χ1024-40-2-20022i3−2i32−2222−2323−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4710−i3i3-1003−3003i−3i00i6−i66−6−ζ10+ζ26ζ10−ζ26ζ14−ζ46−ζ14+ζ462−22−2−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11+ζ43ζ11−ζ43−ζ13+ζ29ζ13−ζ29ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ31+ζ47ζ31−ζ47ζ25−ζ41−ζ25+ζ41ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−2ζ13−2ζ29+ζ43−ζ11+2ζ13+2ζ29−ζ43−2ζ11+ζ13+ζ29−2ζ432ζ11−ζ13−ζ29+2ζ43ζ25+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+2ζ4700000000000000000000

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