Finite Group Databasebeta

← Group #14415393

Character table — Group #14415393

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444412121212121212122020202020202020242424242424242424242424242424243030303030303030404040404040404060606060
order12224444223445566610101010101012121212202020202020202044446610101010121212121212121212121515202020202020202020202020202020202020202030303030303030303030303030306060606060606060606060606060606060606060606060606060606060606060606060606060606060606060606060602222444488888888101010101010101020202020202020208888888824242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ911111111-1-11-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111
χ1111111111-1-11-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111
χ1211111111-1-11-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ1311111111-1-11-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111
χ1411111111-1-11-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-11-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1
χ1511111111-1-11-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ1611111111-1-11-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ171111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-11i−ii−ii−ii−i11-1-111-1-1-1-111-1-111ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ181111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-11−ii−ii−ii−ii11-1-111-1-1-1-111-1-111−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ191111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1i−ii−ii−ii−i-1-111-1-11111-1-111-1-1−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ201111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1−ii−ii−ii−ii-1-111-1-11111-1-111-1-1ii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ211111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-11-111-1i−ii−i−ii−ii11-1-1-1-111-1-11111-1-1ii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ221111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-11-111-1−ii−iii−ii−i11-1-1-1-111-1-11111-1-1−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ231111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-11-1-11i−ii−i−ii−ii-1-11111-1-111-1-1-1-111−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ241111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-11-1-11−ii−iii−ii−i-1-11111-1-111-1-1-1-111ii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ251111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1i−i−iii−i−ii11111111-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−iii−i−iii−i−ii
χ261111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−iii−i−iii−i11111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i−iii−i−iii−i
χ271111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111i−i−iii−i−ii-1-1-1-1-1-1-1-111111111−i−iiiii−i−ii−i−iii−i−ii−iii−i
χ281111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−iii−i−iii−i-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−iii−i−iii−ii−i−ii
χ291111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111i−i−ii−iii−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iiii−i−ii−iii−i−iii−i
χ301111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111−iii−ii−i−ii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−iii−ii−i−iii−i−ii
χ311111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1i−i−ii−iii−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−ii−i−ii−iii−ii−i−ii
χ321111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1−iii−ii−i−ii-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−iii−ii−i−ii−iii−i
χ332222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222−1−52−1−52−1+52−1+522222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222200000000−1−52−1+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+5200000000000000000000
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χ1924-4-44-4-444-44-24-4−1+5−1−5-2221−51−51+51+5−1+5−1−522-2-21−51−5−1+5−1+51+51+5−1−5−1−500002-21−5−1+51+5−1−5-22000000001−521+520000000000000000−1+51−5−1−51+5−1+52−1+521−521−52−1−52−1−521+521+521−52−1+52−1+521+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000000000000000000000000000000000000000000

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