Finite Group Databasebeta

← Group #14412945

Character table — Group #14412945

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444448888888888888888888888881212121212121212121212121212121212121212121212121212121212121212121212121212121220202020202020202020202020202020202020202020202030303030606060606060
order12442222222344444445561010121220202020666666610101010101010101010101010101212121212121215152020202020202020202020202020303030303030606060606060606030303030303030303030303060606060606060606060606022224444101010101010101010101010101010102020202020202020202020202020202088888888242424242424242424242424242424244444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5111111-1-1-1-111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111-1-1-1-111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ7111111-1-1-1-111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ91111-1-111-1-1111-1-111-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ101111-1-111-1-1111-1-111-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ111111-1-111-1-1111-1-111-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ121111-1-111-1-1111-1-111-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ131111-1-1-1-111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ141111-1-1-1-111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ151111-1-1-1-111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ161111-1-1-1-111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ1711-1-11-11-11-1-1111-11-11-111111-1-1-1-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111-11-11-1111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−ii−i
χ1811-1-11-11-11-1-1111-11-11-111111-1-1-1-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111-11-11-1111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii−i−iii−ii−ii−ii
χ1911-1-11-11-11-1-1111-11-11-111111-1-1-1-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111-11-11-1111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i−i−iii−ii−ii−ii
χ2011-1-11-11-11-1-1111-11-11-111111-1-1-1-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111-11-11-1111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iiiii−i−ii−ii−ii−i
χ2111-1-11-1-11-11-1111-1-11-1111111-1-1-1-1-1-1-11-1-11-11-1-111-1-1-1-111-1-11111-1-11-11111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-11-1-11-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iiiii−i−ii−i−ii−ii
χ2211-1-11-1-11-11-1111-1-11-1111111-1-1-1-1-1-1-11-1-11-11-1-111-1-1-1-111-1-11111-1-11-11111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-11-1-11-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i−i−iii−iii−ii−i
χ2311-1-11-1-11-11-1111-1-11-1111111-1-1-1-1-1-1-11-1-11-11-1-111-1-1-1-111-1-11111-1-11-11111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii−i−iii−iii−ii−i
χ2411-1-11-1-11-11-1111-1-11-1111111-1-1-1-1-1-1-11-1-11-11-1-111-1-1-1-111-1-11111-1-11-11111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−iii−i−ii−i−ii−ii
χ2511-1-1-111-1-11-111-111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111-111-1-111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-111-11-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−iii−i−ii
χ2611-1-1-111-1-11-111-111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111-111-1-111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-111-11-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i−i−iiii−i−iii−i
χ2711-1-1-111-1-11-111-111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111-111-1-111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-11-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii−i−iiii−i−iii−i
χ2811-1-1-111-1-11-111-111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111-111-1-111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-11-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−iii−i−i−iii−i−ii
χ2911-1-1-11-111-1-111-11-111-111111-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-11111-1-11-11-111-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−iii−i−i−ii−iii−i
χ3011-1-1-11-111-1-111-11-111-111111-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-11111-1-11-11-111-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii−i−iiii−ii−i−ii
χ3111-1-1-11-111-1-111-11-111-111111-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-11111-1-11-11-111-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i−i−iiii−ii−i−ii
χ3211-1-1-11-111-1-111-11-111-111111-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-11111-1-11-11-111-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iiiii−i−i−ii−iii−i
χ332222222222222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+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+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+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ342222222222222222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+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+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+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000000000000000000
χ352222222222222222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000
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χ1858-8−8i8i0000000-40000000−2+25−2−2542−252+254i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ5900000000000000000000000000001−51+500000000000000−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1868-8−8i8i0000000-40000000−2+25−2−2542−252+254i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ5900000000000000000000000000001−51+5000000000000002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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