Finite Group Databasebeta

← Group #14495100

Character table — Group #14495100

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222222222224444444444444444444444444444444444666688888888888888888888888888888888888812121212121212121212121212121212121212121212202020202020202024242424242424243030303030303030404040404040404060606060
order12223444444556661010101010102020202020202020244412121212121215152020202020202020303030303030606060606060606044446101012121220202020202030303030606060606060606060606060606060606060606022444410101010202020202020202020202020222244441010202020202020444444446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ7111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111
χ8111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-111-1-111-1-1-1-1
χ91111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-11-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-11-11-11-11-1-1-11111-1-111-1-111-1-11-11-11-11-11-11-1
χ101111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-11-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-11-11-11-11-1-11111-1-1-1-111-1-111-11-11-11-11-11-11
χ111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-1-1-1-1-111111-11-11-11-111-1-1-1-111-1-111-1-1111-11-11-11-1-11-11
χ121111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-1-1-1-1-11111-11-11-11-1111-1-1-1-11111-1-111-1-1-11-11-11-111-11-1
χ131111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-11-1-1-1-1-111111111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-111-1-11-1-111-1-11-11-11
χ141111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-11-1-1-1-1-111111111-1-1-1-1-111-1-111-111-1-1-1-111-1-111-1-111-111-1-111-11-11-1
χ151111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-111111-1-1-1-1-1-1-1-111111-1-111-1-11-1-11111-1-1-1-111-1-1111-1-111-1-111-11-1
χ161111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-111-1-111-1-1-111-1-111-1-11-11
χ1711111-1-111-1-111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-111-1-1-111-1-11111-1-1-1-1111-1-11-111-11-1-11
χ1811111-1-111-1-111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-11111111111-1-1-1-1-1-1-1-1-111-11-1-11-1-111-1-111-1-11111-1-1-111-11-1-11-111-1
χ1911111-1-111-1-111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-111-1-111-1-1-1-11111-1-11-1-11-111-1-111-1
χ2011111-1-111-1-111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-111-11-1-1111-1-111-1-111-1-1-1-111-111-11-1-111-1-11
χ2111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-11-1-111111111-1-1-1-1-1-1-1-11-11-1-11-1111-1-111-1-111-1-1-1-1111-11-1-11-11-111-1
χ2211111-1-111-1-111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-11-1-111111111-1-1-1-1-1-1-1-1-11-111-11-111-1-111-1-1-1-11111-1-1-11-111-11-11-1-11
χ2311111-1-111-1-111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11-111-1-1-1-1-1-1-1-1111111111-11-1-11-11-1-111-1-111-1-11111-1-11-11-1-11-111-1-11
χ2411111-1-111-1-111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11-111-1-1-1-1-1-1-1-111111111-11-111-11-1-1-111-1-11111-1-1-1-111-11-111-11-1-111-1
χ2511111-1-1-1-11111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ2611111-1-1-1-11111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ2711111-1-1-1-11111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ2811111-1-1-1-11111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ2911111-1-1-1-1111111111111111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ3011111-1-1-1-1111111111111111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ3111111-1-1-1-1111111111111111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ3211111-1-1-1-1111111111111111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ3322222222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+5222222−1−52−1+52222−1−52−1+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+52222222−1−52−1−52−1+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+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ3422222222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52-2-2-2-22−1−52−1+52222−1−52−1+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+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−5200000000000000000000
χ3522222222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2222222−1−52−1+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+522222-21+521−52-2-2-21+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+521+521+521−521−521+521+521−521−521+521+521−521−522-22-2-2-2−1−52−1−52−1+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+52000000001+521−521+521−521+521−521+521−5200000000000000000000
χ3622222222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2222222−1−52−1+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+52-2-2-2-2-21+521−52-2-2-21+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+521+521+521−521−521+521+521−521−521+521+521−521−52-22-22221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ3722222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222222−1+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+52−1−52−1−52−1−52−1−5222222−1+52−1−52222−1+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+52−1−52−1−52222222−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ3822222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-22−1+52−1−52222−1+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+52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000001−521+521−521+521−521+521−521+5200000000000000000000
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χ1588-88-8-40000008844-4-8-88-8-88000000000000000000-4-40000000044-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-88-8-4000000−2−25−2+2544-42+252+25−2−252−252−25−2+25−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ594ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ4700000000001+51−500000000−1−5−1−51+5−1+5−1+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-88-8-4000000−2−25−2+2544-42+252+25−2−252−252−25−2+254ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ59−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ59−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ4700000000001+51−500000000−1−5−1−51+5−1+5−1+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-88-8-4000000−2+25−2−2544-42−252−25−2+252+252+25−2−254ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ59−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ5900000000001−51+500000000−1+5−1+51−5−1−5−1−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-88-8-4000000−2+25−2−2544-42−252−25−2+252+252+25−2−25−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ5900000000001−51+500000000−1+5−1+51−5−1−5−1−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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