Finite Group Databasebeta

← Group #14438025

Character table — Group #14438025

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
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order1222344556661010101010101212121244888812121212151520202020242424242424242430303030303060606060606060604444202020204040404040404040606060606060606012012012012012012012012012012012012012012012012022666612121212448888121212122424242424242424224410101010202020204444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ7111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-111
χ91111111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-11-1
χ101111111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-11-11
χ111111111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-11-111-1-111-1-1-11-11
χ121111111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-11-11-1-111-1-1111-11-1
χ131111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-111-1
χ141111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11-1-11
χ151111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-1-1111-1-1-1-1111-1-11
χ161111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-111-1-1-11111-1-1-111-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222222222222−1−52−1+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+520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000000002222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222222222222−1−52−1+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+520000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000000000-2-2-2-21+521−521+521−521+521−521+521−520000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222222-2-2-2-22222−1−52−1+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+520000−1−52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000022-2-2−1−52−1+52−1−52−1+521+521−521+521−520000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222222-2-2-2-22222−1−52−1+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+520000−1−52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−520000000000000000000000000000-2-2221+521−521+521−52−1−52−1+52−1−52−1+520000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222-2-222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+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+5200001+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+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+521−521−521−521−5200000000000000000000000000002-22-2−1−52−1+521+521−52−1−52−1+521+521−520000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222-2-222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+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+5200001+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+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+521−521−521−521−520000000000000000000000000000-22-221+521−52−1−52−1+521+521−52−1−52−1+520000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000000002-2-22−1−52−1+521+521−521+521−52−1−52−1+520000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000000000-222-21+521−52−1−52−1+52−1−52−1+521+521−520000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222222222222−1+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+52−1−52−1−52−1−52−1−520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000000002222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222222222222−1+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+52−1−52−1−52−1−52−1−520000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000000000-2-2-2-21−521+521−521+521−521+521−521+520000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−520000−1+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+521−521−521−521−521+521+521+521+52000000000000000000000000000022-2-2−1+52−1−52−1+52−1−521−521+521−521+520000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−520000−1+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+521−521−521−521−521+521+521+521+520000000000000000000000000000-2-2221−521+521−521+52−1+52−1−52−1+52−1−520000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−5200001−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+5200000000000000000000000000002-22-2−1+52−1−521−521+52−1+52−1−521−521+520000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−5200001−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+520000000000000000000000000000-22-221−521+52−1+52−1−521−521+52−1+52−1−520000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000000002-2-22−1+52−1−521−521+521−521+52−1+52−1−520000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000000000-222-21−521+52−1+52−1−52−1+52−1−521−521+520000
χ3322222-2-222222222222-2-2-2-22-2000022-2-222-2-2-2-200000000222222-2-2-2-2-2-2-2-222222-22-20000000022-2-222-2-20000000000000000-2-2-2-2-2-222222-2000022-2-2000000000000000000000000
χ3422222-2-222222222222-2-2-2-22-2000022-2-222-2-2-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-22-22-20000000022-2-222-2-20000000000000000222222-2-2-2-2-220000-2-222000000000000000000000000
χ3522222-2-222222222222-2-2-2-2-220000-2-22222-2-2-2-200000000222222-2-2-2-2-2-2-2-22222-22-2200000000-2-222-2-2220000000000000000-2-2-2-2-2-22222-220000-2-222000000000000000000000000
χ3622222-2-222222222222-2-2-2-2-220000-2-22222-2-2-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-2-22-2200000000-2-222-2-2220000000000000000222222-2-2-2-22-2000022-2-2000000000000000000000000
χ372222-12222-1-1-1222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ382222-12222-1-1-1222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111-2-2-2-2-2-21111111111110000000000000000
χ392222-12222-1-1-1222222-1-1-1-122-2-2-2-2-1-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000000000
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χ13888-8-8-400−2+25−2−254-442−252+25−2+252−25−2−252+25−4343−434300000000001−51+5000000000000−1+51−5−1+5−1−51+5−1−5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-8800−2−25−2+25-8-882+252−252+25−2−252−25−2+2500000000000000−2−25−2+250000000000002+252+25−2−252−252−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8800−2+25−2−25-8-882−252+252−25−2+252+25−2−2500000000000000−2+25−2−250000000000002−252−25−2+252+252+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-400−2−25−2+2544-42+252−252+25−2−252−25−2+2543−43−434300000000001+51−5000000000000−1−5−1−51+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+2ζ43−2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-400−2−25−2+2544-42+252−252+25−2−252−25−2+25−434343−4300000000001+51−5000000000000−1−5−1−51+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+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-8-400−2+25−2−2544-42−252+252−25−2+252+25−2−2543−43−434300000000001−51+5000000000000−1+5−1+51−5−1−5−1−51+52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8-400−2+25−2−2544-42−252+252−25−2+252+25−2−25−434343−4300000000001−51+5000000000000−1+5−1+51−5−1−5−1−51+5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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