Finite Group Databasebeta

← Group #14320997

Character table — Group #14320997

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size11111111222222222222222222222222222244444444444444444444444444444444666666668888888888888888888888888888888888881010101010101010121212121212121212121212121212121212121215151515151515152020202020202020202020202424242424242424303030304040404060606060
order122222223444455666666610101010101010101010101010104444121212121515202020202020202030303030303030303030303030304444444412121212202020202020202060606060606060606060606060606060606060606060606044444444444420202020202020202020202020202020444444444444121212121212121220202020202020204444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ171-11-11-1-111ii−i−i111-1-1-111-111-1-1-1-1-1-11111-1-11-1i−iii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1ii−i−i1-1i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−i1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i1-1i−ii−i1-1
χ181-11-11-1-111ii−i−i111-1-1-111-111-1-1-1-1-1-11111-1-11-1i−iii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1ii−i−i1-1i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111i−i1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-11−ii-1-111−i−iii11-1-1ii−i−i−i−iii-11−ii−ii-11
χ191-11-11-1-111ii−i−i111-1-1-111-111-1-1-1-1-1-11111-1-11-1i−iii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111−i−iii1-1i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1−ii-11-1-1-1-11111−i−i−i−iiiii-1-1-1-111111-1i−i11-1-1ii−i−i-1-111−i−iii−i−iii1-1i−i−ii-11
χ201-11-11-1-111ii−i−i111-1-1-111-111-1-1-1-1-1-11111-1-11-1i−iii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111−i−iii1-1i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111−ii-11-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-11−ii-1-111−i−iii-1-111−i−iiiii−i−i-11−iii−i1-1
χ211-11-11-1-111ii−i−i111-1-1-111-111-1-1-1-1-1-11111-1-1-11−iiii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1ii−i−i-11−ii−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1−ii-111111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-11−ii11-1-1ii−i−i-1-111−i−iiiii−i−i-11−ii−ii-11
χ221-11-11-1-111ii−i−i111-1-1-111-111-1-1-1-1-1-11111-1-1-11−iiii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1ii−i−i-11−ii−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-111−ii-111111-1-1-1-1iiii−i−i−i−i-1-1-1-111111-1i−i-1-111−i−iii-1-111−i−iii−i−iii1-1i−ii−i1-1
χ231-11-11-1-111ii−i−i111-1-1-111-111-1-1-1-1-1-11111-1-1-11−iiii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111−i−iii-11−ii−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1i−i1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-11−ii11-1-1ii−i−i11-1-1ii−i−i−i−iii-11−iii−i1-1
χ241-11-11-1-111ii−i−i111-1-1-111-111-1-1-1-1-1-11111-1-1-11−iiii−i−i11iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111−i−iii-11−ii−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-111i−i1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11-1i−i-1-111−i−iii11-1-1ii−i−iii−i−i1-1i−i−ii-11
χ251-11-11-1-111−i−iii111-1-1-111-111-1-1-1-1-1-11111-1-11-1−ii−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1−i−iii1-1−ii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111−ii1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-11i−i-1-111ii−i−i11-1-1−i−iiiii−i−i-11i−ii−i-11
χ261-11-11-1-111−i−iii111-1-1-111-111-1-1-1-1-1-11111-1-11-1−ii−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1−i−iii1-1−ii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−ii1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii11-1-1−i−iii−i−iii1-1−ii−ii1-1
χ271-11-11-1-111−i−iii111-1-1-111-111-1-1-1-1-1-11111-1-11-1−ii−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111ii−i−i1-1−ii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111i−i-11-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-11i−i-1-111ii−i−i-1-111ii−i−i−i−iii-11i−i−ii1-1
χ281-11-11-1-111−i−iii111-1-1-111-111-1-1-1-1-1-11111-1-11-1−ii−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111ii−i−i1-1−ii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1i−i-11-1-1-1-11111iiii−i−i−i−i-1-1-1-111111-1−ii11-1-1−i−iii-1-111ii−i−iii−i−i1-1−iii−i-11
χ291-11-11-1-111−i−iii111-1-1-111-111-1-1-1-1-1-11111-1-1-11i−i−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1−i−iii-11i−iii−i−i-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−i-1-111i−i-111111-1-1-1-1−i−i−i−iiiii-1-1-1-111111-1−ii-1-111ii−i−i-1-111ii−i−iii−i−i1-1−ii−ii1-1
χ301-11-11-1-111−i−iii111-1-1-111-111-1-1-1-1-1-11111-1-1-11i−i−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1−i−iii-11i−iii−i−i-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1i−i-111111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-11i−i11-1-1−i−iii-1-111ii−i−i−i−iii-11i−ii−i-11
χ311-11-11-1-111−i−iii111-1-1-111-111-1-1-1-1-1-11111-1-1-11i−i−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111ii−i−i-11i−iii−i−i-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−i-1-111−ii1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11-1−ii-1-111ii−i−i11-1-1−i−iii−i−iii1-1−iii−i-11
χ321-11-11-1-111−i−iii111-1-1-111-111-1-1-1-1-1-11111-1-1-11i−i−i−iii11−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111ii−i−i-11i−iii−i−i-1-111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1−ii1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-11i−i11-1-1−i−iii11-1-1−i−iiiii−i−i-11i−i−ii1-1
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+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+5200000000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
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+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+521−521−52000000000000000000001+521−521+521−521+521−521+521−52000000000000
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+5222222222-2-2-2-21+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+521−521−5200000000-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000001+521−521+521−521+521−521+521−52000000000000
χ362222222222222−1−52−1+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+52-2-2-2-2-2-2-2-2-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000022221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
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χ173888-8-8-88-8-40000−2−25−2+254-44-44-442+252−252+252−25−2−252+25−2+252−252+252−25−2−25−2+25−2−25−2+25000000001+51−500000000−1−5−1−5−1+5−1+51+5−1−51−5−1+51+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ174888-8-8-88-8-40000−2+25−2−254-44-44-442−252+252−252+25−2+252−25−2−252+252−252+25−2+25−2−25−2+25−2−25000000001−51+500000000−1+5−1+5−1−5−1−51−5−1+51+5−1−51−51+51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17588-88-8-8-88-40000−2−25−2+25444-4-44-42+252−252+252−25−2−25−2−25−2+25−2+25−2−25−2+252+252−252+252−25000000001+51−5000000001+5−1−51−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17688-88-8-8-88-40000−2+25−2−25444-4-44-42−252+252−252+25−2+25−2+25−2−25−2−25−2+25−2−252−252+252−252+25000000001−51+5000000001−5−1+51+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1778-888-88-8-8-40000−2−25−2+2544-444-4-42+252−25−2−25−2+252+25−2−252−25−2+252+252−25−2−25−2+252+252−25000000001+51−500000000−1−5−1−5−1+5−1+5−1−51+5−1+51−51+51−5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1788-888-88-8-8-40000−2+25−2−2544-444-4-42−252+25−2+25−2−252−25−2+252+25−2−252−252+25−2+25−2−252−252+25000000001−51+500000000−1+5−1+5−1−5−1−5−1+51−5−1−51+51−51+5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1798-8-8-8-8888-40000−2−25−2+254-4-44-4442+252−25−2−25−2+252+252+252−252−25−2−25−2+252+252−25−2−25−2+25000000001+51−5000000001+5−1−51−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1808-8-8-8-8888-40000−2+25−2−254-4-44-4442−252+25−2+25−2−252−252−252+252+25−2+25−2−252−252+25−2+25−2−25000000001−51+5000000001−5−1+51+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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