Finite Group Databasebeta

← Group #14327197

Character table — Group #14327197

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size1111111122222222222222222222222244444444444444444444444444444444446666666688888888888888888888888888888888888810101010101010101212121212121212121212121212121212121212202020202020202020202020242424242424242430303030303030304040404060606060
order12222222355666666610101010101010101010101010104444441212121215152020202020202020303030303030303030303030303022224444121212122020202020202020606060606060606060606060606060606060606060606060222244444444101010101010101020202020202020204444666612121212202020202020202044444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1
χ911111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1011111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-111-1-111
χ1211111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1
χ1311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ1511111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ1611111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ171-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-11-1i−ii−iii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−ii−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i11-1-111-1-11-1i−ii−ii−i
χ181-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-11-1i−ii−iii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iiii−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii11-1-1ii−i−i-1-111-1-111-11−ii−ii−ii
χ191-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-11-1i−ii−iii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111−i−iii1-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i−ii-11-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−i-1-111−i−iii-1-111-1-1111-1i−i−ii−ii
χ201-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-11-1i−ii−iii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111−i−iii1-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−ii-11-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iii-1-111−i−iii11-1-111-1-1-11−iii−ii−i
χ211-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-11-1−ii−ii−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1−i−iii1-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−ii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii11-1-1−i−iii11-1-111-1-11-1−ii−ii−ii
χ221-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-11-1−ii−ii−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1−i−iii1-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i−ii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i11-1-1−i−iii-1-111-1-111-11i−ii−ii−i
χ231-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-11-1−ii−ii−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111ii−i−i1-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iiii−i-11-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii-1-111ii−i−i-1-111-1-1111-1−iii−ii−i
χ241-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-11-1−ii−ii−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111ii−i−i1-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−ii−i-11-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i-1-111ii−i−i11-1-111-1-1-11i−i−ii−ii
χ251-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-1-11i−i−ii−i−iii11iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1ii−i−i-11i−i-1-111−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iii−ii-111111-1-1-1-1iiii−i−i−i−i-11i−i11-1-1−i−iii-1-111−i−iii11-1-1-1-111-11i−ii−i−ii
χ261-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-1-11i−i−ii−i−iii11iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1ii−i−i-11i−i-1-111−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−ii-111111-1-1-1-1iiii−i−i−i−i1-1−ii-1-111ii−i−i-1-111−i−iii-1-11111-1-11-1−ii−iii−i
χ271-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-1-11i−i−ii−i−iii11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111−i−iii-11i−i-1-111−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiii−i1-1-1-1-1-11111−i−i−i−iiiii-11i−i11-1-1−i−iii11-1-1ii−i−i-1-11111-1-1-11i−i−iii−i
χ281-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-1-11i−i−ii−i−iii11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111−i−iii-11i−i-1-111−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−ii−i1-1-1-1-1-11111−i−i−i−iiiii1-1−ii-1-111ii−i−i11-1-1ii−i−i11-1-1-1-1111-1−iii−i−ii
χ291-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-1-11−iii−iii−i−i11−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1−i−iii-11−ii-1-111ii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−ii−i-111111-1-1-1-1−i−i−i−iiiii-11−ii11-1-1ii−i−i-1-111ii−i−i11-1-1-1-111-11−ii−iii−i
χ301-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-1-11−iii−iii−i−i11−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1−i−iii-11−ii-1-111ii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiii−i-111111-1-1-1-1−i−i−i−iiiii1-1i−i-1-111−i−iii-1-111ii−i−i-1-11111-1-11-1i−ii−i−ii
χ311-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-1-11−iii−iii−i−i11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111ii−i−i-11−ii-1-111ii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i−ii1-1-1-1-1-11111iiii−i−i−i−i-11−ii11-1-1ii−i−i11-1-1−i−iii-1-11111-1-1-11−iii−i−ii
χ321-1-111-11-11111-1-11-11-111-1-1-1-111-1-111-1-1-11−iii−iii−i−i11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111ii−i−i-11−ii-1-111ii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii−ii1-1-1-1-1-11111iiii−i−i−i−i1-1i−i-1-111−i−iii11-1-1−i−iii11-1-1-1-1111-1i−i−iii−i
χ33222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000002222−1−52−1−52−1+52−1+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+520000000000000000
χ34222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000001+521−521+521−521+521−521+521−520000000000000000
χ35222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-222-2-2−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
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χ1728-888-8-8-88-4−2+25−2−2544-4-444-42−252+252−25−2+252+25−2−25−2+25−2−25−2+25−2−252−252+252−252+2500000000001−51+500000000−1+5−1+5−1−5−1−5−1+51−5−1−51+51−51+5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1738-8-8-888-88-4−2−25−2+25-4444-44-4−2−25−2+252+252+252−252−252+252−25−2−25−2+252+252−25−2−25−2+2500000000001+51−5000000001+5−1−51−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-8-8-888-88-4−2+25−2−25-4444-44-4−2+25−2−252−252−252+252+252−252+25−2+25−2−252−252+25−2+25−2−2500000000001−51+5000000001−5−1+51+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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