Finite Group Databasebeta

← Group #13152267

Character table — Group #13152267

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size11111111111133333333121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212484848484848484848484848484848484848484848484848
order12223366666633666666224446666666666666666121212121212121212121212121212121212121212121212333333666666666666666666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ311111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ5111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32
χ6111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ7111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ8111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
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χ10333333333333333333333-1-1-1-133-1-1333-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1133333333333333333333-13-1-1-1-1-133-1-1-1333-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1233333333333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1333-1-1-1-1-1-1333-1-1-1-1-1-1000000000000000000000000
χ1333333333333333333333-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1333-1-1-1-1-1-1333-1-1-1000000000000000000000000
χ1433333333333333333333-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1333-1-1-1-1-1-1333000000000000000000000000
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χ16333333333333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-13-1-1-1-1-1331−i321−i321−i32−3+3i32−3+3i32−3+3i321+i321+i321+i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000
χ17333333333333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-13-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i3233-1-1-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32000000000000000000000000
χ18333333333333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-13-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-133-1-11−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i32000000000000000000000000
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χ21333333333333−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-13-1-1-1-1-1331+i321+i321+i32−3−3i32−3−3i32−3−3i321−i321−i321−i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000
χ22333333333333−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-13-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i3233-1-1-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32000000000000000000000000
χ23333333333333−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-13-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-133-1-11+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i32000000000000000000000000
χ24333333333333−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-13-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1-1331+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32000000000000000000000000
χ253333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000033333−3+3i32−3−3i32−3+3i32−3−3i32000000000000−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000
χ263333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000003-1-1-1-1−3+3i32−3−3i321−i321+i320002−1+i3−1−i30002−1+i3−1−i31−i321+i321−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000000000000
χ273333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000003-1-1-1-1−3+3i32−3−3i321−i321+i32000−1+i3−1−i32000−1−i32−1+i31−i321+i321−i321+i321−i321+i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3000000000000000000000000
χ283333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000003-1-1-1-1−3+3i32−3−3i321−i321+i32000−1−i32−1+i3000−1+i3−1−i321−i321+i321−i321+i321−i321+i32−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32000000000000000000000000
χ293333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000-13-1-1-11−i321+i32−3+3i32−3−3i322−1+i3−1−i30002−1+i3−1−i30001−i321+i321−i321+i321−i321+i322−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000000000000000000000000
χ303333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000-13-1-1-11−i321+i32−3+3i32−3−3i32−1+i3−1−i32000−1−i32−1+i30001−i321+i321−i321+i321−i321+i32−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3000000000000000000000000
χ313333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000-13-1-1-11−i321+i32−3+3i32−3−3i32−1−i32−1+i3000−1+i3−1−i320001−i321+i321−i321+i321−i321+i32−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3000000000000000000000000
χ323333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000-1-13-1-11−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−3+3i32−3−3i321−i321+i321−i321+i32000−1−i32−1+i3−1+i3−1−i32000−1+i3−1−i32−1−i32−1+i3000000000000000000000000
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χ353333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000-1-1-13-11−i321+i321−i321+i322−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1−i32−1+i31−i321+i32−3+3i32−3−3i321−i321+i32−1−i32−1+i30002−1+i3−1−i3−1+i3−1−i320002−1+i3−1−i3000000000000000000000000
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χ383333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000-1-1-1-131−i321+i321−i321+i322−1+i3−1−i3−1−i32−1+i32−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32−3+3i32−3−3i32−1+i3−1−i322−1+i3−1−i3000−1−i32−1+i32−1+i3−1−i3000000000000000000000000000
χ393333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000-1-1-1-131−i321+i321−i321+i32−1+i3−1−i322−1+i3−1−i3−1−i32−1+i32−1+i3−1−i31−i321+i321−i321+i32−3+3i32−3−3i32−1−i32−1+i3−1+i3−1−i32000−1+i3−1−i32−1−i32−1+i3000000000000000000000000000
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χ413333−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000033333−3−3i32−3+3i32−3−3i32−3+3i32000000000000−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000000
χ423333−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000003-1-1-1-1−3−3i32−3+3i321+i321−i320002−1−i3−1+i30002−1−i3−1+i31+i321−i321+i321−i321+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000000000000000
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χ8912-12-1212−6−6i3−6+6i36+6i36+6i3−6−6i36−6i36−6i3−6+6i300000000000000000000000000000000000000000000000000000000000000000000000000000

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