Finite Group Databasebeta

← Group #14438691

Character table — Group #14438691

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222222222222244444444444444444444444444444444444444444444888888888888888888888888888888881010101010101010101010102020202020202020202020202020202020202424242424242424242424242424242424242424120120120120
order122222344445566610101010101012121212668888101010101212151520202020202020202424242424242424303030303030606060606060606030303030404040404040404060606060120120120120120120120120120120120120120120120120444412121212121212124488881212121224242424242424242444101010102020202020202020202020202444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1
χ101111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11
χ111111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11-1-11
χ121111-1-11-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-111-1
χ131111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-11111-1-1-1-1-1-1-1-11111-11-11
χ141111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111111111-1-1-1-11-11-1
χ151111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-111111-11-1
χ161111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-11-11
χ1722222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ1822222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000
χ1922222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222-2-2-2-2−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000000000000000000000002-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000
χ2022222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222-2-2-2-2−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000000-222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ2122222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ2222222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000
χ2322222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222-2-2-2-2−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000000000000000002-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000
χ2422222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222-2-2-2-2−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000000000000000000000-222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ252222222-2-2-2-222222222222-2-2-2-22200002222-2-222-2-2-2-2-2-2-2-200000000222222-2-2-2-2-2-2-2-2222200000000-2-2-2-2000000000000000022-2-22222-2-2-2-22-2000022-2-200000000000000000000000000000000
χ262222222-2-2-2-222222222222-2-2-2-22200002222-2-222-2-2-2-2-2-2-2-200000000222222-2-2-2-2-2-2-2-2222200000000-2-2-2-20000000000000000-2-222-2-2-2-22222-220000-2-22200000000000000000000000000000000
χ27222222-1222222-1-1-1222222-1-1-1-1-1-122222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ28222222-1222222-1-1-1222222-1-1-1-1-1-122222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2-2-2111111111111000000000000000000000000
χ29222222-1222222-1-1-1222222-1-1-1-1-1-1-2-2-2-22222-1-1-1-12222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111112222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000000000000000000000000
χ30222222-1222222-1-1-1222222-1-1-1-1-1-1-2-2-2-22222-1-1-1-12222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-2-2-211111111-2-222221111-1-1-1-1-1-1-1-1000000000000000000000000
χ31222222-1-2-2-2-222-1-1-12222221111-1-10000222211-1-1-2-2-2-2-2-2-2-233−3−333−3−3-1-1-1-1-1-111111111-1-1-1-100000000111133−3−333−3−333−3−333−3−322-2-2-1-1-1-111112-20000-1-11133−3−333−3−3000000000000000000000000
χ32222222-1-2-2-2-222-1-1-12222221111-1-10000222211-1-1-2-2-2-2-2-2-2-233−3−333−3−3-1-1-1-1-1-111111111-1-1-1-100000000111133−3−333−3−333−3−333−3−3-2-2221111-1-1-1-1-22000011-1-1−3−333−3−333000000000000000000000000
χ33222222-1-2-2-2-222-1-1-12222221111-1-10000222211-1-1-2-2-2-2-2-2-2-2−3−333−3−333-1-1-1-1-1-111111111-1-1-1-1000000001111−3−333−3−333−3−333−3−33322-2-2-1-1-1-111112-20000-1-111−3−333−3−333000000000000000000000000
χ34222222-1-2-2-2-222-1-1-12222221111-1-10000222211-1-1-2-2-2-2-2-2-2-2−3−333−3−333-1-1-1-1-1-111111111-1-1-1-1000000001111−3−333−3−333−3−333−3−333-2-2221111-1-1-1-1-22000011-1-133−3−333−3−3000000000000000000000000
χ352222-2-2222-2-222222222222-2-2-2-2-2-20000-2-2-2-22222-2-22222-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000000022-2-22222-2-2-2-2-220000-2-22200000000000000000000000000000000
χ362222-2-2222-2-222222222222-2-2-2-2-2-20000-2-2-2-22222-2-22222-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000-2-222-2-2-2-222222-2000022-2-200000000000000000000000000000000
χ372222-2-22-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-222-2-21+521+521−521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+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+521−521−521−521−5200000000000000000000000000000022-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000
χ382222-2-22-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-222-2-21+521+521−521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+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+521−521−521−521−52000000000000000000000000000000-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.