Finite Group Databasebeta

← Group #14416269

Character table — Group #14416269

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size11111111222222222222222222222222222244444444444444444444444444444444666666668888888888888888888888888888888888881010101010101010121212121212121212121212121212121212121215151515151515152020202020202020202020202424242424242424303030304040404060606060
order122244442234455666101010101010121212122020202020202020224466101010101212151520202020303030303030606060606060606088888888661010101012122020202030303030303030303030303060606060606060606060606088888888224440404040404040404040404040404040444444444444242424242424242410101010202020204444121212124444
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
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111
χ111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ121111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ131111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ141111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ151111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ161111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ1711-1-111-1-11-111-1111-1-1-1-1-1-11111-1-11111-1-1-1-11-11-11-111-1-11-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−i1-11-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−i11-1-111-1-1i−ii−ii−ii−ii−ii−i
χ1811-1-111-1-11-111-1111-1-1-1-1-1-11111-1-11111-1-1-1-11-11-11-111-1-11-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii1-11-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii11-1-111-1-1−ii−ii−ii−ii−ii−ii
χ1911-1-111-1-11-111-1111-1-1-1-1-1-11111-1-11111-1-1-1-11-11-11-111-1-11-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−i-11-11-1-1-1-11111-1-1-1-11111−i−iii−i−iiii−ii−iii−i−iii−i−i-1-111-1-111−ii−iii−ii−i−ii−ii
χ2011-1-111-1-11-111-1111-1-1-1-1-1-11111-1-11111-1-1-1-11-11-11-111-1-11-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii-11-11-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−ii−ii−i−iii−i−iii-1-111-1-111i−ii−i−ii−iii−ii−i
χ2111-1-111-1-11-111-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-11-111-111-1-11-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−i-11-111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−ii−iiii−i−iii−i−i-1-111-1-111i−ii−i−ii−ii−ii−ii
χ2211-1-111-1-11-111-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-11-111-111-1-11-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii-11-111111-1-1-1-11111-1-1-1-1−i−iii−i−iiii−ii−i−i−iii−i−iii-1-111-1-111−ii−iii−ii−ii−ii−i
χ2311-1-111-1-11-111-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-11-111-111-1-11-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−i1-11-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii−ii−iiii−i−iii−i−i11-1-111-1-1−ii−ii−ii−iii−ii−i
χ2411-1-111-1-11-111-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-11-111-111-1-11-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii1-11-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−ii−ii−i−i−iii−i−iii11-1-111-1-1i−ii−ii−ii−i−ii−ii
χ2511-1-1-1-111-1111-1111-1-1-1-1-1-111-1-111-1-1-1-111111-1-11-11-1-1111-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1111-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111ii−i−i−i−iii1-1-111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiii−i−iiii−i−i−i−iii11-1-1-1-111i−i−iii−i−iii−i−ii
χ2611-1-1-1-111-1111-1111-1-1-1-1-1-111-1-111-1-1-1-111111-1-11-11-1-1111-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1111-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111−i−iiiii−i−i1-1-111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i−iii−i−iii−i
χ2711-1-1-1-111-1111-1111-1-1-1-1-1-111-1-111-1-1-1-111111-1-11-11-1-1111-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111ii−i−i−i−iii-111-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−ii−i−iiii−i−i−i−iii-1-11111-1-1−iii−ii−i−ii−iii−i
χ2811-1-1-1-111-1111-1111-1-1-1-1-1-111-1-111-1-1-1-111111-1-11-11-1-1111-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111−i−iiiii−i−i-111-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii−iii−ii−i−ii
χ2911-1-1-1-111-1111-1111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-11-1-1111-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1ii−i−i−i−iii-111-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−iii−iii−i−i−i−iii-1-11111-1-1i−i−ii−iii−i−iii−i
χ3011-1-1-1-111-1111-1111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-11-1-1111-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1−i−iiiii−i−i-111-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−ii−i−ii−i−iiiii−i−i-1-11111-1-1−iii−ii−i−iii−i−ii
χ3111-1-1-1-111-1111-1111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-11-1-1111-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1ii−i−i−i−iii1-1-11-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−iii−iii−i−i−i−iii11-1-1-1-111−iii−i−iii−ii−i−ii
χ3211-1-1-1-111-1111-1111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-11-1-1111-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1−i−iiiii−i−i1-1-11-1-1-1-111111111-1-1-1-1ii−i−i−i−iiii−i−ii−i−iiiii−i−i11-1-1-1-111i−i−iii−i−ii−iii−i
χ332222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+522222222222−1−52−1+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+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+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+52-2-2-2-2-2-2-2-222−1−52−1+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+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+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+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+5222222222-2-21+521−521+521−52-2-21+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+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+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+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+52-2-2-2-2-2-2-2-2-2-21+521−521+521−52-2-21+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+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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χ1788-8-888i−8i−8i8i00-400−2+25−2−2544-42−25−2+252+25−2−252−252+25−4i4i4i−4i−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ1184ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1180000000000001−51+50000−1+51−5−1−51+5−1+5−1−52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1798-8-88−8i8i8i−8i00-400−2−25−2+2544-42+25−2−252−25−2+252+252−254i−4i−4i4i4ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ118−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ940000000000001+51−50000−1−51+5−1+51−5−1−5−1+5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ940000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1808-8-88−8i8i8i−8i00-400−2+25−2−2544-42−25−2+252+25−2−252−252+254i−4i−4i4i4ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ1180000000000001−51+50000−1+51−5−1−51+5−1+5−1−5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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