Finite Group Databasebeta

← Group #14418038

Character table — Group #14418038

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222444444444444444444444444555566668888888888888888888888888888101010101010121212121212121212121212121216161616161616162020202020202020202020202424242424242424242424243030303040404040606060606060
order12442345561010121220202020224468810101215152020242424243030606060608888224466101010101212202020203030404040406060120120120120120120120120882424242422448810101010202020203030303060606060448888121212122424101010102020202040404040888824242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ51111111111111111111-11-11-1-11111111-1-1-1-1111111111111111-111-1-11-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-11-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111111111-11-11-1-11111111-1-1-1-11111111111-1-1-1-11-111-1-11-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-111-1-111
χ71111111111111111111-11-11-1-11111111-1-1-1-1111111-1-1-1-111111-111-1-11-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111111111-1-111-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111-11-11-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-11111111111-1-111-1-111-1-1
χ9111111111111111111-11-111-1-11111111-1-1-1-111111111111111-11-1-111-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-11-11-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111
χ10111111111111111111-11-111-1-11111111-1-1-1-11111111111-1-1-1-1-11-1-111-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111-11-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1
χ11111111111111111111-11-111-1-11111111-1-1-1-1111111-1-1-1-11111-11-1-111-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111111-1-111-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1
χ12111111111111111111-11-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-111-1-111-1-11111111111-1-1-1-1-1-111
χ13111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ14111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ15111111111111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111
χ16111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1
χ1711-1-1-11111111-1-1-1-1-1-111-1-1-11-1-1-11111111-1-111-1-1-1-1ii−i−i1-11-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1i−iii−i−i1-1-111-111-1-111-1-11111-1-1-1-1i−ii−ii−iii−i−ii−i11-1-1-1-11111-1-1ii−i−ii−ii−ii−ii−ii−i
χ1811-1-1-11111111-1-1-1-1-1-111-1-1-11-1-1-11111111-1-111-1-1-1-1ii−i−i-11-11111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1i−iii−i−i-111-1-11-1-111-1-1111111-1-1-1-1i−ii−ii−iii−i−ii−i-1-11111-1-1-1-111−i−iiii−ii−i−ii−ii−ii
χ1911-1-1-11111111-1-1-1-1-1-111-1-1-11-1-1-11111111-1-111-1-1-1-1−i−iii1-11-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1−ii−i−iii1-1-111-111-1-111-1-11111-1-1-1-1−ii−ii−ii−i−iii−ii11-1-1-1-11111-1-1−i−iii−ii−ii−ii−ii−ii
χ2011-1-1-11111111-1-1-1-1-1-111-1-1-11-1-1-11111111-1-111-1-1-1-1−i−iii-11-11111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1−ii−i−iii-111-1-11-1-111-1-1111111-1-1-1-1−ii−ii−ii−i−iii−ii-1-11111-1-1-1-111ii−i−i−ii−iii−ii−ii−i
χ2111-1-1-11111111-1-1-1-1-1-11-1-11-1-11-1-111111-1-11111-1-1-1-1ii−i−i1-11-11-111-1-1-11-1-111-1-1-1-11111-1-1-1-11111i−iii−i−i11-1-1-1111-1-111-1-111-1-1-1-111−iii−i−ii−i−iiii−i1111-1-1-1-1-1-111ii−i−ii−i−ii−iii−i−ii
χ2211-1-1-11111111-1-1-1-1-1-11-1-11-1-11-1-111111-1-11111-1-1-1-1ii−i−i-11-111-111-1-1-11-1-111-1-1-1-11111-1-1-1-11111i−iii−i−i-1-1111-1-1-111-1-11111-1-1-1-111−iii−i−ii−i−iiii−i-1-1-1-1111111-1-1−i−iiii−i−iii−i−iii−i
χ2311-1-1-11111111-1-1-1-1-1-11-1-11-1-11-1-111111-1-11111-1-1-1-1−i−iii1-11-11-111-1-1-11-1-111-1-1-1-11111-1-1-1-11111−ii−i−iii11-1-1-1111-1-111-1-111-1-1-1-111i−i−iii−iii−i−i−ii1111-1-1-1-1-1-111−i−iii−iii−ii−i−iii−i
χ2411-1-1-11111111-1-1-1-1-1-11-1-11-1-11-1-111111-1-11111-1-1-1-1−i−iii-11-111-111-1-1-11-1-111-1-1-1-11111-1-1-1-11111−ii−i−iii-1-1111-1-1-111-1-11111-1-1-1-111i−i−iii−iii−i−i−ii-1-1-1-1111111-1-1ii−i−i−iii−i−iii−i−ii
χ2511-1-1-11111111-1-1-1-1-1-1-111-1-1-11-1-111111-1-11111-1-1-1-1ii−i−i1-11-1-11-1-1111-111-1-1-1-1-1-11111-1-1-1-11111i−iii−i−i-1-111-1111-1-111-1-1-1-11111-1-1−ii−iii−i−i−iiii−i-1-1-1-11111-1-111ii−i−i−iii−i−ii−iii−i
χ2611-1-1-11111111-1-1-1-1-1-1-111-1-1-11-1-111111-1-11111-1-1-1-1ii−i−i-11-11-11-1-1111-111-1-1-1-1-1-11111-1-1-1-11111i−iii−i−i11-1-11-1-1-111-1-111-1-11111-1-1−ii−iii−i−i−iiii−i1111-1-1-1-111-1-1−i−iii−iii−ii−ii−i−ii
χ2711-1-1-11111111-1-1-1-1-1-1-111-1-1-11-1-111111-1-11111-1-1-1-1−i−iii1-11-1-11-1-1111-111-1-1-1-1-1-11111-1-1-1-11111−ii−i−iii-1-111-1111-1-111-1-1-1-11111-1-1i−ii−i−iiii−i−i−ii-1-1-1-11111-1-111−i−iiii−i−iii−ii−i−ii
χ2811-1-1-11111111-1-1-1-1-1-1-111-1-1-11-1-111111-1-11111-1-1-1-1−i−iii-11-11-11-1-1111-111-1-1-1-1-1-11111-1-1-1-11111−ii−i−iii11-1-11-1-1-111-1-111-1-11111-1-1i−ii−i−iiii−i−i−ii1111-1-1-1-111-1-1ii−i−ii−i−ii−ii−iii−i
χ2911-1-1-11111111-1-1-1-1-1-1-1-111-11-1-1-11111111-1-111-1-1-1-1ii−i−i1-11-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1i−iii−i−i-111-11-111-1-111-1-1-1-1-1-11111i−i−ii−iiii−i−ii−i-1-11111-1-111-1-1ii−i−i−ii−iii−i−ii−ii
χ3011-1-1-11111111-1-1-1-1-1-1-1-111-11-1-1-11111111-1-111-1-1-1-1ii−i−i-11-11-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1i−iii−i−i1-1-11-11-1-111-1-111-1-1-1-11111i−i−ii−iiii−i−ii−i11-1-1-1-111-1-111−i−iii−ii−ii−iii−ii−i
χ3111-1-1-11111111-1-1-1-1-1-1-1-111-11-1-1-11111111-1-111-1-1-1-1−i−iii1-11-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1−ii−i−iii-111-11-111-1-111-1-1-1-1-1-11111−iii−ii−i−i−iii−ii-1-11111-1-111-1-1−i−iiii−ii−i−iii−ii−i
χ3211-1-1-11111111-1-1-1-1-1-1-1-111-11-1-1-11111111-1-111-1-1-1-1−i−iii-11-11-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1−ii−i−iii1-1-11-11-1-111-1-111-1-1-1-11111−iii−ii−i−i−iii−ii11-1-1-1-111-1-111ii−i−ii−ii−ii−i−ii−ii
χ332222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522222222−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000
χ342222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522222222−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+520000-2-2-2-222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-2-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000001+521−521+521−521+521−521+521−521+521−521+521−5200000000000000
χ352222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522-22-22-2-2−1−52−1+522−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52000022222-2−1−52−1+521+521−522-2−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−520000002-22-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52000000000000−1−52−1+521+521−52−1−52−1+521+521−521+521−521+521−5200000000000000
χ362222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522-22-22-2-2−1−52−1+522−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+520000-2-2-2-22-2−1−52−1+521+521−522-2−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−52000000-22-22221+521−521+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000001+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000
χ372222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-22-222-2-2−1−52−1+522−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+5200002222-221+521−52−1−52−1+52-221+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−52000000-22-22-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+520000000000001+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−5200000000000000
χ382222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-22-222-2-2−1−52−1+522−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2-221+521−52−1−52−1+52-221+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−520000002-22-2221+521−521+521−521+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000000−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+5200000000000000
χ392222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+5200002222-2-21+521−521+521−52-2-21+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+52000000-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000
χ402222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2-2-21+521−521+521−52-2-21+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+520000002222-2-21+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000
χ412222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−522−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−520000222222−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000
χ422222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−522−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−520000-2-2-2-222−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-2-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000001−521+521−521+521−521+521−521+521−521+521−521+5200000000000000
χ432222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522-22-22-2-2−1+52−1−522−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52000022222-2−1+52−1−521−521+522-2−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+520000002-22-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52000000000000−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+5200000000000000
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χ1438-8−8i8i0-40−2+25−2−2542−252+254i−4i4ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ11800000000001−51+500−2i62i6−2626−1+5−1−5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1180000000000000000000000000000−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103000000000000000000000000000000000000000000000000000000000000000000
χ1448-8−8i8i0-40−2+25−2−2542−252+254i−4i4ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ11800000000001−51+5002i6−2i626−26−1+5−1−5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1180000000000000000000000000000ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.