Finite Group Databasebeta

← Group #14426264

Character table — Group #14426264

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size11112222222222222233334444444444444444444444444466666666668888888888888888888888888101012121212121212121212121212121212161616161616161616202020202020202424242424242424243030404040404040606060606080120
order12223445566610101010101044442288121215152020202030303030303040404040404040402220202020202020202661010101010101010242460606060120120120120120120120120444488101010104040404040404040630303030303030304448812124202020202020202044212121224244448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-11111-1-1-1-111-1111-1-1111-1-1-1-1
χ4111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11-1-1-111-1-1-11111
χ51111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-11-1-1111-1-111-1-1
χ61111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-111
χ71111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11-1-1111-1-1-1-111111111-1-1-1-11-1-1-1-111
χ81111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111-111-1-11-1-1-1-11111-1-1-1-11111-11111-1-1
χ9111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-11
χ11111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1111-1-1-1-1-111-11
χ12111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11111-1-1-1-1-1-1-111-1-11-1-1-1-11111111-1-1-111111-1-11-1
χ13111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-111-111-1-1-11
χ14111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111111111-111-1-11-1-1111-1
χ15111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-11111-1-11-1-111-11111-1-1-1-1-1-111-1-1-1-1-111111-1
χ16111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1111111-111-1-1-11111-1-1-1-111-1-111111-1-1-1-1-11
χ172222222−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ182222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222−1+52−1+52−1−52−1−521−521−521+521+52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520022-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+520000000-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ192222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+520000000-21−521−521+521+521−521−521+521+52000000000000000
χ202222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-21−521−521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5221−521−521+521+52−1+52−1+52−1−52−1−52000000021−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ212222222−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000-21−521−521+521+521−521−521+521+52000000000000000
χ222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+52-222−1+52−1+52−1−52−1−521−521−521+521+52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2-2221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+52000000021−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ232222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52-2-2-21−521−521+521+521−521−521+521+5222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520022-2-21−521−521+521+521−521−521−521−521+521+521+521+52-21−521−521+521+521−521−521+521+5200000002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ242222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+522-2-21−521−521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520022221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5221−521−521+521+52−1+52−1+52−1−52−1−520000000-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ252222222−1−52−1+52222−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ262222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222−1−52−1−52−1+52−1+521+521+521−521−52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520022-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−520000000-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ272222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−520000000-21+521+521−521−521+521+521−521−52000000000000000
χ282222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5221+521+521−521−52−1−52−1−52−1+52−1+52000000021+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ292222222−1−52−1+52222−1−52−1−52−1+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+52-2-21+521+521+521+521−521−521−521−52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000-21+521+521−521−521+521+521−521−52000000000000000
χ302222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−52-222−1−52−1−52−1+52−1+521+521+521−521−52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-2221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−52000000021+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ312222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521+521+521−521−521−521−52-2-2-21+521+521−521−521+521+521−521−5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520022-2-21+521+521−521−521+521+521+521+521−521−521−521−52-21+521+521−521−521+521+521−521−5200000002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ322222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−522-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520022221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+521+521−521−52−1−52−1−52−1+52−1+520000000-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ3322222-2-22222222222222220000-2-222-2-2-2-222222200000000-2-2222222220000000000000-2-2-2-200000000220000-2-2-2-20000000000000000000-20022000000000220-20000-2000000
χ3422222-2-22222222222222220000-2-222-2-2-2-222222200000000-2-2222222220000000000000-2-2-2-200000000-2-20000-2-2-2-20000000000000000000200-2-2000000000-2-20200002000000
χ3522222-2-222222222222-2-2-2-20000-2-222-2-2-2-22222220000000022-2-2-2-2-2-2-2-20000000000000-2-2-2-20000000022000022220000000000000000000-20022000000000-2-20-200002000000
χ3622222-2-222222222222-2-2-2-20000-2-222-2-2-2-22222220000000022-2-2-2-2-2-2-2-20000000000000-2-2-2-200000000-2-2000022220000000000000000000200-2-200000000022020000-2000000
χ372222-12222-1-1-122222200002222-1-1-1-12222-1-1-1-1-1-12222222200000000002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000000000-1-1-1-1-1-1-1-1-122222-1-1000000000002-1-1-1-1-100000-10
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χ392222-12222-1-1-1222222000022-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000-2-1-12222-2-2-2-211-1-1-1-1111111112200000000000000001-1-1-1-11111222-2-2-1-100000000000-2-1-1-1110000010
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χ1398-8-88-400−2+25−2−254-442−25−2+252+25−2−252−252+2500000000001−51+50000−1+51−5−1−51+5−1+5−1−52ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39000000000000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ390000000000000000000000000000000000000000000000000000000000
χ1408-8-88-400−2−25−2+254-442+25−2−252−25−2+252+252−2500000000001+51−50000−1−51+5−1+51−5−1−5−1+5−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37000000000000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000000000000000000000000000000000000000000000000000000
χ1418-8-88-400−2−25−2+254-442+25−2−252−25−2+252+252−2500000000001+51−50000−1−51+5−1+51−5−1−5−1+52ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37000000000000000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.