Finite Group Databasebeta

← Group #14495339

Character table — Group #14495339

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222244444444444444444888888888888888888121212121212121212121212202020202020202024242424404060606060111122222222222244444444444444444888888888888888888121212121212121212121212202020202020202024242424404060606060
order122235566610101010101024412121515202020203030303030306101012202030303030606060606060606022441010101020202020244466121210102020121244442222610106661010101010102441212303020202020303030303030610101220203030303060606060606060602244101010102020202024446612121010202012124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11-11-111-1-1-1-111-11-111-111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11-11-111-1-1-1-111-11-111-1
χ611111111111111111-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-11-11-1-111-1-1111-11-1-1111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-11-11-1-111-1-1111-11-1-11
χ711111111111111111-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111111-11-111-1-111-1-1-111-1-1111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111111-11-111-1-111-1-1-111-1-11
χ811111111111111111-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-11-11-1-11111-1-11-1-111-111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-11-11-1-11111-1-11-1-111-1
χ91111111111111111-11-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1-11111111-1-1-1-1-11-111111111111111111-11-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1-11111111-1-1-1-1-11-11
χ101111111111111111-11-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-111-1-1111-11-11111111111111111-11-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-111-1-1111-11-1
χ111111111111111111-11-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111111-1-111-1-11-11-11111111111111111-11-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111111-1-111-1-11-11-1
χ121111111111111111-11-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-1-11111-11-111111111111111111-11-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-1-11111-11-11
χ131111111111111111-1-11-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-111-1-1-1-1-1-11-111-1-11111111111111111-1-11-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-111111111111-1-111-1-1-1-1-1-11-111-1-1
χ141111111111111111-1-11-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-1111111111-1-111-1-111-1-1-1-1-11-1-1111111111111111111-1-11-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-1111111111-1-111-1-111-1-1-1-1-11-1-111
χ151111111111111111-1-11-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-1111111111111111111-1-11-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-111
χ161111111111111111-1-11-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1111-1-11111111111111111-1-11-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1111-1-1
χ1722222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+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+5200000000−1−52−1+52−1−52−1+5200000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+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+5200000000−1−52−1+52−1−52−1+52000000
χ1822222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52−1−52−1−52−1+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+521−521−52000000001+521−521+521−5200000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52−1−52−1−52−1+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+521−521−52000000001+521−521+521−52000000
χ1922222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+5200000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000
χ2022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−5200000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000
χ2122222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−5200000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000
χ2222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+5200000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000000
χ2322222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−5221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−5200000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−5221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000
χ2422222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−5221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+5200000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−5221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000
χ2522222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−5200000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000
χ2622222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+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+52000000001−521+521−521+5200000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52−1+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+52000000001−521+521−521+52000000
χ2722222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−5200000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000
χ2822222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+5200000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000
χ2922222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+52-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+5200000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+52-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52000000
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χ1504-44-4-24422-2-4-44-44-400000-2-2000022-22-220000000000000000000000000000000000−2i32i3000000000000-44-442-4-4-2-2244-44-4400000220000-2-22-22-200000000000000000000000000000000002i3−2i3000000000000
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χ1598-88-8-4−2−25−2+2544-42+252−25−2−252+25−2+252−25000001+51−50000−1−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000000000000000-88-8842+252−25-4-44−2−25−2+252+25−2−252−25−2+2500000−1−5−1+500001+51−5−1−51+5−1+51−5000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.