Finite Group Databasebeta

← Group #14296677

Character table — Group #14296677

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888888888888888812121212121212121212121212121212121212121212121220202020202020202020202020202020242424242424242430303030303030304040404060606060
order122222223444455666666610101010101010101010101010104444121212121515202020202020202030303030303030303030303030301212121220202020202020206060606060606060606060606060606060606060606060604444888840404040404040404040404040404040444488882424242424242424202020202020202044444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ9111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i
χ10111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii
χ11111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii
χ12111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i
χ13111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii
χ14111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i
χ15111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i
χ16111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii
χ171-111-1-1-111-11-1111-111-1-11-1-1-111-1-1-1-111-1-111i−ii−i-11-111111-1-111-1-1-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−iiiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−ii−ii−i1-11-1
χ181-111-1-1-111-11-1111-111-1-11-1-1-111-1-1-1-111-1-111i−ii−i-11-111111-1-111-1-1-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-11-1-111-1-11111-1-111-1-1−i−iii−i−iii−ii−ii-11-11
χ191-111-1-1-111-11-1111-111-1-11-1-1-111-1-1-1-111-1-111i−ii−i-11-111111-1-111-1-1-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii−i−i−i−iiiii−i−i−i−iiiiii−ii−i1-11-111-1-111-1-1-1-111-1-111−i−iii−i−iiii−ii−i-11-11
χ201-111-1-1-111-11-1111-111-1-11-1-1-111-1-1-1-111-1-111i−ii−i-11-111111-1-111-1-1-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii−i−i−i−iiiii−i−i−i−iiiii−ii−ii-11-11-1-111-1-111-1-111-1-111ii−i−iii−i−i−ii−ii1-11-1
χ211-111-1-1-111-11-1111-111-1-11-1-1-111-1-1-1-111-1-111−ii−ii-11-111111-1-111-1-1-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-11-1-111-1-11111-1-111-1-1ii−i−iii−i−ii−ii−i-11-11
χ221-111-1-1-111-11-1111-111-1-11-1-1-111-1-1-1-111-1-111−ii−ii-11-111111-1-111-1-1-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii−ii−ii1-11-1
χ231-111-1-1-111-11-1111-111-1-11-1-1-111-1-1-1-111-1-111−ii−ii-11-111111-1-111-1-1-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−iiiii−i−i−i−iiiii−i−i−i−ii−ii−i-11-11-1-111-1-111-1-111-1-111−i−iii−i−iiii−ii−i1-11-1
χ241-111-1-1-111-11-1111-111-1-11-1-1-111-1-1-1-111-1-111−ii−ii-11-111111-1-111-1-1-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii1-11-111-1-111-1-1-1-111-1-111ii−i−iii−i−i−ii−ii-11-11
χ251-11-1-111-11-1-11111-1-1-1111-1-1-1-1-1111111-1-1-1-1i−i−ii-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1i−i−iiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii-111-1-1-1-1-111111111-1-1-1-1i−i−ii1-1-1111-1-1-1-111ii−i−i−i−iii-1-11111-1-1i−i−iii−i−ii
χ261-11-1-111-11-1-11111-1-1-1111-1-1-1-1-1111111-1-1-1-1i−i−ii-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1i−i−iiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii-111-1-1-1-1-111111111-1-1-1-1−iii−i-111-1-1-11111-1-1ii−i−i−i−iii11-1-1-1-111−iii−i−iii−i
χ271-11-1-111-11-1-11111-1-1-1111-1-1-1-1-1111111-1-1-1-1i−i−ii-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1i−i−iiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−i1-1-111111-1-1-1-1-1-1-1-11111i−i−ii1-1-1111-1-1-1-111−i−iiiii−i−i11-1-1-1-111i−i−ii−iii−i
χ281-11-1-111-11-1-11111-1-1-1111-1-1-1-1-1111111-1-1-1-1i−i−ii-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1i−i−iiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−i1-1-111111-1-1-1-1-1-1-1-11111−iii−i-111-1-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−iii−ii−i−ii
χ291-11-1-111-11-1-11111-1-1-1111-1-1-1-1-1111111-1-1-1-1−iii−i-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1−iii−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii1-1-111111-1-1-1-1-1-1-1-11111i−i−ii-111-1-1-11111-1-1ii−i−i−i−iii-1-11111-1-1i−i−ii−iii−i
χ301-11-1-111-11-1-11111-1-1-1111-1-1-1-1-1111111-1-1-1-1−iii−i-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1−iii−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii1-1-111111-1-1-1-1-1-1-1-11111−iii−i1-1-1111-1-1-1-111ii−i−i−i−iii11-1-1-1-111−iii−ii−i−ii
χ311-11-1-111-11-1-11111-1-1-1111-1-1-1-1-1111111-1-1-1-1−iii−i-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1−iii−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i-111-1-1-1-1-111111111-1-1-1-1i−i−ii-111-1-1-11111-1-1−i−iiiii−i−i11-1-1-1-111i−i−iii−i−ii
χ321-11-1-111-11-1-11111-1-1-1111-1-1-1-1-1111111-1-1-1-1−iii−i-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1−iii−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i-111-1-1-1-1-111111111-1-1-1-1−iii−i1-1-1111-1-1-1-111−i−iiiii−i−i-1-11111-1-1−iii−i−iii−i
χ332222222222222−1−52−1+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+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ342222222222222−1−52−1+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+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+52-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000001+521−521+521−521+521−521+521−520000000000000000
χ352222222222222−1−52−1+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+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+52−1−52−1−52−1+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+521−52−1−52−1+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+521−521−522222-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
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χ1668-8-888-88-8-40000−2+25−2−254-444-44-42−252+252−252+252−25−2+252+25−2−252−252+25−2+25−2−25−2+25−2−25000000001−51+500000000−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1678-8-8-888-88-40000−2−25−2+2544-4-444-42+252−25−2−25−2+25−2−252+25−2+252−252+252−25−2−25−2+252+252−25000000001+51−500000000−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-8-8-888-88-40000−2+25−2−2544-4-444-42−252+25−2+25−2−25−2+252−25−2−252+252−252+25−2+25−2−252−252+25000000001−51+500000000−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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