Finite Group Databasebeta

← Group #14479820

Character table — Group #14479820

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222444444444444444466666666121212122222222244444444444488888888888888881212121212121212242424242222222244444444444488888888888888881212121212121212242424245555555510101010101010101010101020202020202020202020202020202020303030303030303060606060
order122244443444466612121212444412121212121212121212121222444444224451010102020202015202020203030306060606020202020606060606060606060606060101020202020202010102020510101020202020152020202030303060606060202020206060606060606060606060601010202020202020101020202222444464444666121212124444121212121212121212121212224444442244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-11-1111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-11-1111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-11-1111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-11-1
χ6111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11-11111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11-11111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11-11111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11-11
χ7111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11
χ8111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1
χ91111-1-1-1-1111-1-1111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-1
χ101111-1-1-1-1111-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-11-11-111-1-111-1-111-1-1-1-1-1-11111-1-111
χ111111-1-1-1-1111-1-1111-1-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-1-1111-1-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-1-1111-1-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-1-1111-1-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-111
χ121111-1-1-1-1111-1-1111-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1111-1-1111-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1111-1-1111-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1111-1-1111-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ131111-1-1-1-11-1-111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-111-1-11-1-111111-1-1-1-11-1-111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-111-1-11-1-111111-1-1-1-11-1-111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-111-1-11-1-111111-1-1-1-11-1-111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-111-1-11-1-11
χ141111-1-1-1-11-1-111111-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-111-111-11111-1-1-1-11-1-111111-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-111-111-11111-1-1-1-11-1-111111-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-111-111-11111-1-1-1-11-1-111111-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-111-111-1
χ151111-1-1-1-11-1-111111-1-1-1-1-111-1-1-111-1-11111-1-111-1-111-1-1-111-11111-1-1-1-11-1-111111-1-1-1-1-111-1-1-111-1-11111-1-111-1-111-1-1-111-11111-1-1-1-11-1-111111-1-1-1-1-111-1-1-111-1-11111-1-111-1-111-1-1-111-11111-1-1-1-11-1-111111-1-1-1-1-111-1-1-111-1-11111-1-111-1-111-1-1-111-1
χ161111-1-1-1-11-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1111-1-111111-1-1-1-11-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1111-1-111111-1-1-1-11-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1111-1-111111-1-1-1-11-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1111-1-11
χ1722222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000
χ1922222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-21111-1-1-1-11111000000000000
χ2022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000
χ212222-2-2-2-2-122-2-2-1-1-111112-22-2-1-111-1-111-1-1110000000000002222-2-2-2-2-122-2-2-1-1-111112-22-2-1-111-1-111-1-1110000000000002222-2-2-2-2-122-2-2-1-1-111112-22-2-1-111-1-111-1-1110000000000002222-2-2-2-2-122-2-2-1-1-111112-22-2-1-111-1-111-1-111000000000000
χ222222-2-2-2-2-122-2-2-1-1-11111-22-22-1-11111-1-111-1-10000000000002222-2-2-2-2-122-2-2-1-1-11111-22-22-1-11111-1-111-1-10000000000002222-2-2-2-2-122-2-2-1-1-11111-22-22-1-11111-1-111-1-10000000000002222-2-2-2-2-122-2-2-1-1-11111-22-22-1-11111-1-111-1-1000000000000
χ232222-2-2-2-2-1-2-222-1-1-111112-2-2211-1-1-1-11111-1-10000000000002222-2-2-2-2-1-2-222-1-1-111112-2-2211-1-1-1-11111-1-10000000000002222-2-2-2-2-1-2-222-1-1-111112-2-2211-1-1-1-11111-1-10000000000002222-2-2-2-2-1-2-222-1-1-111112-2-2211-1-1-1-11111-1-1000000000000
χ242222-2-2-2-2-1-2-222-1-1-11111-222-211-1-111-1-1-1-1110000000000002222-2-2-2-2-1-2-222-1-1-11111-222-211-1-111-1-1-1-1110000000000002222-2-2-2-2-1-2-222-1-1-11111-222-211-1-111-1-1-1-1110000000000002222-2-2-2-2-1-2-222-1-1-11111-222-211-1-111-1-1-1-111000000000000
χ2522-2-22i2i−2i−2i20000-22-22i2i−2i−2i00000000000000002-200002i−2i000022-2-22i2i−2i−2i20000-22-22i2i−2i−2i00000000000000002-200002i−2i000022-2-22i2i−2i−2i20000-22-22i2i−2i−2i00000000000000002-200002i−2i000022-2-22i2i−2i−2i20000-22-22i2i−2i−2i00000000000000002-200002i−2i0000
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χ2822-2-2−2i−2i2i2i20000-22-2−2i−2i2i2i0000000000000000-2200002i−2i000022-2-2−2i−2i2i2i20000-22-2−2i−2i2i2i0000000000000000-2200002i−2i000022-2-2−2i−2i2i2i20000-22-2−2i−2i2i2i0000000000000000-2200002i−2i000022-2-2−2i−2i2i2i20000-22-2−2i−2i2i2i0000000000000000-2200002i−2i0000
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χ302-22-22i−2i2i−2i2-22−2i2i-2-222i−2i2i−2i0000-22−2i2i000000000000000000002-22-22i−2i2i−2i2-22−2i2i-2-222i−2i2i−2i0000-22−2i2i000000000000000000002-22-22i−2i2i−2i2-22−2i2i-2-222i−2i2i−2i0000-22−2i2i000000000000000000002-22-22i−2i2i−2i2-22−2i2i-2-222i−2i2i−2i0000-22−2i2i00000000000000000000
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χ372-22-2−2i2i−2i2i-12-2−2i2i11-1i−ii−i0000-11i−i3−3i3−i33−3i3−i30000000000002-22-2−2i2i−2i2i-12-2−2i2i11-1i−ii−i0000-11i−i3−3i3−i33−3i3−i30000000000002-22-2−2i2i−2i2i-12-2−2i2i11-1i−ii−i0000-11i−i3−3i3−i33−3i3−i30000000000002-22-2−2i2i−2i2i-12-2−2i2i11-1i−ii−i0000-11i−i3−3i3−i33−3i3−i3000000000000
χ382-22-2−2i2i−2i2i-12-2−2i2i11-1i−ii−i0000-11i−i−33−i3i3−33−i3i30000000000002-22-2−2i2i−2i2i-12-2−2i2i11-1i−ii−i0000-11i−i−33−i3i3−33−i3i30000000000002-22-2−2i2i−2i2i-12-2−2i2i11-1i−ii−i0000-11i−i−33−i3i3−33−i3i30000000000002-22-2−2i2i−2i2i-12-2−2i2i11-1i−ii−i0000-11i−i−33−i3i3−33−i3i3000000000000
χ392-22-2−2i2i−2i2i-1-222i−2i11-1i−ii−i00001-1−ii3−3i3−i3−33−i3i30000000000002-22-2−2i2i−2i2i-1-222i−2i11-1i−ii−i00001-1−ii3−3i3−i3−33−i3i30000000000002-22-2−2i2i−2i2i-1-222i−2i11-1i−ii−i00001-1−ii3−3i3−i3−33−i3i30000000000002-22-2−2i2i−2i2i-1-222i−2i11-1i−ii−i00001-1−ii3−3i3−i3−33−i3i3000000000000
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χ1854-4-444-4-44400004-4-44-4-440000000000000000004i−4i4i−4i000000−1−51+51+5−1−5−1−51+51+5−1−5−1−50000−1−51+51+5−1−51+51+5−1−5000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000−1+51−51−5−1+5−1+51−51−5−1+5−1+50000−1+51−51−5−1+51−51−5−1+5000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000000000
χ1864-4-444-4-44400004-4-44-4-44000000000000000000−4i4i−4i4i000000−1−51+51+5−1−5−1−51+51+5−1−5−1−50000−1−51+51+5−1−51+51+5−1−50000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000−1+51−51−5−1+5−1+51−51−5−1+5−1+50000−1+51−51−5−1+51−51−5−1+50000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000000000000
χ1874-4-44-444-4400004-4-4-444-40000000000000000004i−4i−4i4i000000−1−51+51+5−1−51+5−1−5−1−51+5−1−50000−1−51+51+51+5−1−5−1−51+5000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000−1+51−51−5−1+51−5−1+5−1+51−5−1+50000−1+51−51−51−5−1+5−1+51−5000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000000000000
χ1884-4-44-444-4400004-4-4-444-4000000000000000000−4i4i4i−4i000000−1−51+51+5−1−51+5−1−5−1−51+5−1−50000−1−51+51+51+5−1−5−1−51+50000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000−1+51−51−5−1+51−5−1+5−1+51−5−1+50000−1+51−51−51−5−1+5−1+51−50000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000000000
χ18988-8-88i8i−8i−8i-400004-44−4i−4i4i4i0000000000000000000000000000−2−25−2−252+252+25−4ζ11−4ζ19−4ζ31−4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ594ζ11+4ζ19+4ζ31+4ζ591+50000−1−51+5−1−52ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000000000−2+25−2+252−252−25−4ζ7−4ζ23−4ζ43−4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ474ζ7+4ζ23+4ζ43+4ζ471−50000−1+51−5−1+52ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1928-8-88-888-8-40000-4444-4-440000000000000000000000000000−2−252+252+25−2−252+25−2−25−2−252+251+500001+5−1−5−1−5−1−51+51+5−1−50000000000000000000000000000−2+252−252−25−2+252−25−2+25−2+252−251−500001−5−1+5−1+5−1+51−51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.