Finite Group Databasebeta

← Group #14327630

Character table — Group #14327630

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size1111111122222222222222222222222244444444444444444444444444444444446666666688888888888888888888888888888888888810101010101010101212121212121212121212121212121212121212202020202020202020202020242424242424242430303030303030304040404060606060
order122222223556666666101010101010101010101010101044444412121212151520202020202020203030303030303030303030303030444444441212121220202020202020206060606060606060606060606060606060606060606060604444444422442020202020202020202020202020202044441212121212121212101010102020202022224444121212124444
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
χ51111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ71111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1011111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ1111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ1211111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1
χ1311111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ1411111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1
χ1511111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ171-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1i−ii−i1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1-1-111-1-111-1-1ii−i−ii−i1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-11-1i−i1111-1-1-1-1iiii−i−i−i−i1-1i−iii−i−i11-1-111-1-1ii−i−i11-1-111-1-11-1i−ii−ii−i
χ181-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1i−ii−i1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1-1-111-1-111-1-1ii−i−ii−i1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-1111-1i−i1111-1-1-1-1iiii−i−i−i−i-11−ii−i−iii-1-11111-1-1ii−i−i-1-111-1-111-11−ii−ii−ii
χ191-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1i−ii−i1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-111−i−iiii−i1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-1-11−ii-1-1-1-11111−i−i−i−iiiii1-1i−iii−i−i11-1-1-1-111−i−iii-1-111-1-1111-1i−i−ii−ii
χ201-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1i−ii−i1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-111−i−iiii−i1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-111-11−ii-1-1-1-11111−i−i−i−iiiii-11−ii−i−iii-1-111-1-111−i−iii11-1-111-1-1-11−iii−ii−i
χ211-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1i−i−ii-11ii−i−i11−i−i−i−iiiii1111-1-1-1-1-1-111-1-111-1-1−i−iii−ii-11-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1-11i−i1111-1-1-1-1−i−i−i−iiiii-11−iiii−i−i11-1-1-1-111ii−i−i11-1-1-1-111-11−iii−i−ii
χ221-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1i−i−ii-11ii−i−i11−i−i−i−iiiii1111-1-1-1-1-1-111-1-111-1-1−i−iii−ii-11-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-111-11i−i1111-1-1-1-1−i−i−i−iiiii1-1i−i−i−iii-1-111-1-111ii−i−i-1-11111-1-11-1i−i−iii−i
χ231-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1i−i−ii-11ii−i−i11−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-111ii−i−i−ii-11-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-11-1−ii-1-1-1-11111iiii−i−i−i−i-11−iiii−i−i11-1-111-1-1−i−iii-1-11111-1-1-11−ii−iii−i
χ241-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1i−i−ii-11ii−i−i11−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-111ii−i−i−ii-11-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii-1-1111-1−ii-1-1-1-11111iiii−i−i−i−i1-1i−i−i−iii-1-11111-1-1−i−iii11-1-1-1-1111-1i−ii−i−ii
χ251-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1−iii−i-11−i−iii11iiii−i−i−i−i1111-1-1-1-1-1-111-1-111-1-1ii−i−ii−i-11-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-111-11−ii1111-1-1-1-1iiii−i−i−i−i1-1−iiii−i−i-1-111-1-111−i−iii-1-11111-1-11-1−iii−i−ii
χ261-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1−iii−i-11−i−iii11iiii−i−i−i−i1111-1-1-1-1-1-111-1-111-1-1ii−i−ii−i-11-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1-11−ii1111-1-1-1-1iiii−i−i−i−i-11i−i−i−iii11-1-1-1-111−i−iii11-1-1-1-111-11i−i−iii−i
χ271-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1−iii−i-11−i−iii11iiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-111−i−iiii−i-11-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-1111-1i−i-1-1-1-11111−i−i−i−iiiii1-1−iiii−i−i-1-11111-1-1ii−i−i11-1-1-1-1111-1−ii−iii−i
χ281-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1−iii−i-11−i−iii11iiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-111−i−iiii−i-11-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-11-1i−i-1-1-1-11111−i−i−i−iiiii-11i−i−i−iii11-1-111-1-1ii−i−i-1-11111-1-1-11i−ii−i−ii
χ291-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1−ii−ii1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1-1-111-1-111-1-1−i−iii−ii1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-1111-1−ii1111-1-1-1-1−i−i−i−iiiii-11i−iii−i−i-1-11111-1-1−i−iii-1-111-1-111-11i−ii−ii−i
χ301-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1−ii−ii1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1-1-111-1-111-1-1−i−iii−ii1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii1-1−ii−i−iii11-1-111-1-1−i−iii11-1-111-1-11-1−ii−ii−ii
χ311-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1−ii−ii1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-111ii−i−i−ii1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-111-11i−i-1-1-1-11111iiii−i−i−i−i-11i−iii−i−i-1-111-1-111ii−i−i11-1-111-1-1-11i−i−ii−ii
χ321-111-1-11-11111-1-11-1-1111-1-111-1-111-1-1-1-1−ii−ii1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-111ii−i−i−ii1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-1-11i−i-1-1-1-11111iiii−i−i−i−i1-1−ii−i−iii11-1-1-1-111ii−i−i-1-111-1-1111-1−iii−ii−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+5222-2-2-2-22222−1−52−1+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+522222-2-2-2-2-2-2-2-21+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+521−521−5200000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000001+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
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χ1664-4-4-44-444-2−1+5−1−52-222-22-21−51+5−1+5−1−5−1+5−1−51−51+51−51+5−1+51−5−1−51+5000000−232323−231−521+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+52−1+52−1−52−1−521−521−52−1+521+521+52−1−521−521+52−1+52−1−5200000000000000000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000000000000000000000000000000000000000000000000000000000000
χ167888-88-8-8-8-4−2−25−2+25-44-44-4442+252−252+252−252+252−25−2−25−2+25−2−25−2+25−2−252+25−2+252−2500000000001+51−5000000001+5−1−51−5−1+51+5−1−5−1−51−5−1+5−1+5−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ168888-88-8-8-8-4−2+25−2−25-44-44-4442−252+252−252+252−252+25−2+25−2−25−2+25−2−25−2+252−25−2−252+2500000000001−51+5000000001−5−1+51+5−1−51−5−1+5−1+51+5−1−5−1−5−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16988-88-8-8-88-4−2−25−2+254-4-4-4444−2−25−2+25−2−25−2+252+252−25−2−25−2+252+252−252+252+252−252−2500000000001+51−500000000−1−51+5−1+51−5−1−51+5−1−5−1+51−5−1+5−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17088-88-8-8-88-4−2+25−2−254-4-4-4444−2+25−2−25−2+25−2−252−252+25−2+25−2−252−252+252−252−252+252+2500000000001−51+500000000−1+51−5−1−51+5−1+51−5−1+5−1−51+5−1−5−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1718-88-8-88-88-4−2−25−2+25-4-4444-442+252−25−2−25−2+252+252−252+252−25−2−25−2+252+25−2−252−25−2+2500000000001+51−5000000001+5−1−51−5−1+5−1−51+51+5−1+51−51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1728-88-8-88-88-4−2+25−2−25-4-4444-442−252+25−2+25−2−252−252+252−252+25−2+25−2−252−25−2+252+25−2−2500000000001−51+5000000001−5−1+51+5−1−5−1+51−51−5−1−51+51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1738-8-8888-8-8-4−2−25−2+25444-4-4-44−2−25−2+252+252−252+252−252+252−252+252−25−2−25−2−25−2+25−2+2500000000001+51−500000000−1−51+5−1+51−51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-8-8888-8-8-4−2+25−2−25444-4-4-44−2+25−2−252−252+252−252+252−252+252−252+25−2+25−2+25−2−25−2−2500000000001−51+500000000−1+51−5−1−51+51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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