Finite Group Databasebeta

← Group #13176679

Character table — Group #13176679

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size12222912222912222912222924444182444418244441824444182444418244441824444182444418244441824444184888836488883648888364888836488883648888363666627366662736666273666627612121212546121212125461212121254612121212546121212125461212121254
order13333226666241212121244121212124266662412121212482424242488242424248824242424882424242483333366666661212121212121212121212126666661212121212122424242424242424242424242424242424242424242424242666622666624121212124412121212426666241212121248242424248824242424882424242488242424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-1
χ322-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-10
χ42-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10
χ52-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10
χ62-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-120
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ811111-111111-111111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-111111-111111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-111111-111111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11
χ922-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-21110-2-21110-2-2111022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-21110-2-21110-2-2111022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-21110-2-21110-2-21110
χ102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-2110-21-2110-21-21102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-2110-21-2110-21-21102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-2110-21-2110-21-2110
χ112-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-210-211-210-211-2102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-210-211-210-211-2102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-210-211-210-211-210
χ122-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-20-2111-20-2111-202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-20-2111-20-2111-202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-20-2111-20-2111-20
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1411111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-1111111-111111-1-1-1-1-1-11-1-1-1-1-1111111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-1111111-111111-1-1-1-1-1-11-1-1-1-1-1111111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-1111111-111111-1-1-1-1-1-11-1-1-1-1-11
χ1522-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-2111022-1-1-1022-1-1-10-2-21110-2-2111022-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-2111022-1-1-1022-1-1-10-2-21110-2-2111022-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-2111022-1-1-1022-1-1-10-2-21110-2-21110
χ162-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-21102-12-1-102-12-1-10-21-2110-21-21102-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-21102-12-1-102-12-1-10-21-2110-21-21102-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-21102-12-1-102-12-1-10-21-2110-21-2110
χ172-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-2102-1-12-102-1-12-10-211-210-211-2102-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-2102-1-12-102-1-12-10-211-210-211-2102-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-2102-1-12-102-1-12-10-211-210-211-210
χ182-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-202-1-1-1202-1-1-120-2111-20-2111-202-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-202-1-1-1202-1-1-120-2111-20-2111-202-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-202-1-1-1202-1-1-120-2111-20-2111-20
χ19111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ2011111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-111111-111111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-111111-111111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-111111-1
χ2122-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-21110-2-21110-2-2111022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-21110-2-21110-2-2111022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-21110-2-21110-2-2111022-1-1-1022-1-1-10
χ222-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-2110-21-2110-21-21102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-2110-21-2110-21-21102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-2110-21-2110-21-21102-12-1-102-12-1-10
χ232-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-210-211-210-211-2102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-210-211-210-211-2102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-210-211-210-211-2102-1-12-102-1-12-10
χ242-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-20-2111-20-2111-202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-20-2111-20-2111-202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-20-2111-20-2111-202-1-1-1202-1-1-120
χ25111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i
χ2611111-111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii11111-111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii11111-111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii
χ2722-1-1-1022-1-1-10-2-21110-2-2111022-1-1-10-2-211102i2i−i−i−i0−2i−2iiii02i2i−i−i−i0−2i−2iiii022-1-1-1022-1-1-10-2-21110-2-2111022-1-1-10-2-211102i2i−i−i−i0−2i−2iiii02i2i−i−i−i0−2i−2iiii022-1-1-1022-1-1-10-2-21110-2-2111022-1-1-10-2-211102i2i−i−i−i0−2i−2iiii02i2i−i−i−i0−2i−2iiii0
χ282-12-1-102-12-1-10-21-2110-21-21102-12-1-10-21-21102i−i2i−i−i0−2ii−2iii02i−i2i−i−i0−2ii−2iii02-12-1-102-12-1-10-21-2110-21-21102-12-1-10-21-21102i−i2i−i−i0−2ii−2iii02i−i2i−i−i0−2ii−2iii02-12-1-102-12-1-10-21-2110-21-21102-12-1-10-21-21102i−i2i−i−i0−2ii−2iii02i−i2i−i−i0−2ii−2iii0
χ292-1-12-102-1-12-10-211-210-211-2102-1-12-10-211-2102i−i−i2i−i0−2iii−2ii02i−i−i2i−i0−2iii−2ii02-1-12-102-1-12-10-211-210-211-2102-1-12-10-211-2102i−i−i2i−i0−2iii−2ii02i−i−i2i−i0−2iii−2ii02-1-12-102-1-12-10-211-210-211-2102-1-12-10-211-2102i−i−i2i−i0−2iii−2ii02i−i−i2i−i0−2iii−2ii0
χ302-1-1-1202-1-1-120-2111-20-2111-202-1-1-120-2111-202i−i−i−i2i0−2iiii−2i02i−i−i−i2i0−2iiii−2i02-1-1-1202-1-1-120-2111-20-2111-202-1-1-120-2111-202i−i−i−i2i0−2iiii−2i02i−i−i−i2i0−2iiii−2i02-1-1-1202-1-1-120-2111-20-2111-202-1-1-120-2111-202i−i−i−i2i0−2iiii−2i02i−i−i−i2i0−2iiii−2i0
χ31111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii
χ3211111-111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i11111-111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i11111-111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i
χ3322-1-1-1022-1-1-10-2-21110-2-2111022-1-1-10-2-21110−2i−2iiii02i2i−i−i−i0−2i−2iiii02i2i−i−i−i022-1-1-1022-1-1-10-2-21110-2-2111022-1-1-10-2-21110−2i−2iiii02i2i−i−i−i0−2i−2iiii02i2i−i−i−i022-1-1-1022-1-1-10-2-21110-2-2111022-1-1-10-2-21110−2i−2iiii02i2i−i−i−i0−2i−2iiii02i2i−i−i−i0
χ342-12-1-102-12-1-10-21-2110-21-21102-12-1-10-21-2110−2ii−2iii02i−i2i−i−i0−2ii−2iii02i−i2i−i−i02-12-1-102-12-1-10-21-2110-21-21102-12-1-10-21-2110−2ii−2iii02i−i2i−i−i0−2ii−2iii02i−i2i−i−i02-12-1-102-12-1-10-21-2110-21-21102-12-1-10-21-2110−2ii−2iii02i−i2i−i−i0−2ii−2iii02i−i2i−i−i0
χ352-1-12-102-1-12-10-211-210-211-2102-1-12-10-211-210−2iii−2ii02i−i−i2i−i0−2iii−2ii02i−i−i2i−i02-1-12-102-1-12-10-211-210-211-2102-1-12-10-211-210−2iii−2ii02i−i−i2i−i0−2iii−2ii02i−i−i2i−i02-1-12-102-1-12-10-211-210-211-2102-1-12-10-211-210−2iii−2ii02i−i−i2i−i0−2iii−2ii02i−i−i2i−i0
χ362-1-1-1202-1-1-120-2111-20-2111-202-1-1-120-2111-20−2iiii−2i02i−i−i−i2i0−2iiii−2i02i−i−i−i2i02-1-1-1202-1-1-120-2111-20-2111-202-1-1-120-2111-20−2iiii−2i02i−i−i−i2i0−2iiii−2i02i−i−i−i2i02-1-1-1202-1-1-120-2111-20-2111-202-1-1-120-2111-20−2iiii−2i02i−i−i−i2i0−2iiii−2i02i−i−i−i2i0
χ37111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ3811111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-1iiiii−i−i−i−i−i−ii−i−i−i−i−iiiiiii−i11111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-1iiiii−i−i−i−i−i−ii−i−i−i−i−iiiiiii−i11111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-1iiiii−i−i−i−i−i−ii−i−i−i−i−iiiiiii−i
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χ163222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).