Finite Group Databasebeta

← Group #14439337

Character table — Group #14439337

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888888888242424242424242424242424242424242424242430303030404040404040404040404040606060606060
order122222344445566610101010101066888810101010121212121515202020202020202030303030303060606060606060602424242430303030404040404040404060606060120120120120120120120120120120120120120120120120244410101010202020202020202020202020444422246666661212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-111-1-1-11111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-11111
χ91111-1-11-1-11111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-111-1-1
χ101111-1-11-1-11111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111
χ111111-1-11-1-11111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111111-11-111-1-111-1-1-1-111-1-1
χ121111-1-11-1-11111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-111
χ131111-1-11-1-11111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111
χ141111-1-11-1-11111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-11-1-11111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ161111-1-11-1-11111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ1722222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ1822222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−520000000000000000000000
χ1922222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+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+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000000000
χ2022222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ2122222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ2222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+520000000000000000000000
χ2322222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000000000
χ2422222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ252222222-2-2-2-2222222222222200002222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000222200000000-2-2-2-200000000000000000000000000000000000022-2-20000000000002-20000
χ262222222-2-2-2-2222222222222200002222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000222200000000-2-2-2-2000000000000000000000000000000000000-2-222000000000000-220000
χ27222222-1222222-1-1-1222222-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-1000000
χ28222222-1222222-1-1-1222222-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-211111111000000
χ29222222-1222222-1-1-1222222-1-1-2-2-2-22222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000000000002-2-22-1-11111-1-1000000
χ30222222-1222222-1-1-1222222-1-1-2-2-2-22222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111000000000000000000000000-222-211-1-1-1-111000000
χ312222-2-2222-2-222222222222-2-20000-2-2-2-2-222-222-2-22222-2-2222222-2-2-2-2-2-2-2-20000-2-2-2-200000000222200000000000000000000000000000000000022-2-2000000000000-220000
χ322222-2-2222-2-222222222222-2-20000-2-2-2-2-222-222-2-22222-2-2222222-2-2-2-2-2-2-2-20000-2-2-2-2000000002222000000000000000000000000000000000000-2-2220000000000002-20000
χ332222-2-22-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-21+521+521−521−522-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-21+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+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ342222-2-22-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-21+521+521−521−522-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-21+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+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000
χ352222-2-22-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2221+521+521−521−522-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000
χ362222-2-22-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2221+521+521−521−522-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ372222-2-22-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-21−521−521+521+522-2-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521+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+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ382222-2-22-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-21−521−521+521+522-2-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521+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+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
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χ1368-8-8800-40000−2−25−2+254-442+25−2−252−25−2+252+252−25000000000000001+51−500000000−1−51+5−1+51−5−1−5−1+5−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-8800-40000−2+25−2−254-442−25−2+252+25−2−252−252+25000000000000001−51+500000000−1+51−5−1−51+5−1+5−1−5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8800-40000−2+25−2−254-442−25−2+252+25−2−252−252+25000000000000001−51+500000000−1+51−5−1−51+5−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000

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