Finite Group Databasebeta

← Group #14320520

Character table — Group #14320520

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size1111111122222222222222222222444444444444444444444444444410101010101010102020202022222222444444444444444444448888888888888888888888888888202020202020202040404040333333336666666666666666666612121212121212121212121212121212121212121212121212121212303030303030303060606060
order1222222244445510101010101010101010101010102244101010101010101020202020202020202020202020202020444444444444366666661212121215153030303030303030303030303030661212303030303030303060606060606060606060606060606060121212121212121212121212222222224444101010101010101010101010101010102244101010101010101020202020202020202020202020202020444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1-1i−i11-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1-1i−i11-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1-1i−i
χ1011-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-11−ii11-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-11−ii11-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-11−ii
χ1111-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-11−ii11-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-11−ii11-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-11−ii
χ1211-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii1-1i−i11-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii1-1i−i11-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii1-1i−i
χ1311-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1-1−ii11-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1-1−ii11-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1-1−ii
χ1411-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-11i−i11-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-11i−i11-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-11i−i
χ1511-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii-11i−i11-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii-11i−i11-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii-11i−i
χ1611-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i1-1−ii11-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i1-1−ii11-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i1-1−ii
χ17222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000
χ19222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ20222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ2122222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000022222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000022222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ2222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000022222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000022222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ2322222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000022222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000022222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ2422222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000022222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000022222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ25222-2-2-2-220000222-2-22-2-22-22-22-22-200000000000000000000000000002i−2i2i−2i00000000222-2-2-2-220000222-2-22-2-22-22-22-22-200000000000000000000000000002i−2i2i−2i00000000222-2-2-2-220000222-2-22-2-22-22-22-22-200000000000000000000000000002i−2i2i−2i00000000
χ26222-2-2-2-220000222-2-22-2-22-22-22-22-20000000000000000000000000000−2i2i−2i2i00000000222-2-2-2-220000222-2-22-2-22-22-22-22-20000000000000000000000000000−2i2i−2i2i00000000222-2-2-2-220000222-2-22-2-22-22-22-22-20000000000000000000000000000−2i2i−2i2i00000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.