Finite Group Databasebeta

← Group #11923317

Character table — Group #11923317

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222223333444444444444446666666666666688888888888888888888121212121212121212121212121212121616161616161616161616161818181818181818242424242424242424242424
order124423468888121288883366612121212122424242422224444888888336666121212121212242424242424242466121224242424242424242424242466121224242424242424242244888866661212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ3111111111111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ411111111111111-1-1-1-11111111111111111-1-111-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111-1-1-1-1−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111111-1-111-1-11111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32
χ611111111111111-1-1-1-1−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111111-1-111-1-11111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32
χ711111111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-1111111−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-111-1-1-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ911111111-1-1-1-1111111−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-111-1-1-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ1011111111-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1111111111-1-1-1-111-1-1-1-1−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32-1-1-1-111111111-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ1211111111-1-1-1-111-1-1-1-1−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32-1-1-1-111111111-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ131111-11-1111-1-111111111-111-1111111-1-11-11-11-11-111-1-1-1-111-1-111-1-1111111-1-111-1-11-11-111-1-111111111-1-1-1-111-1-111-1-11-11-111-1-11-11-11-11-1-1-1-1-1
χ141111-11-1111-1-1111111−1−i32−1+i32-1−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i3211-1-11-11-11-11-111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-111-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-111-1-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321+i321−i321−i32
χ151111-11-1111-1-1111111−1+i32−1−i32-1−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i3211-1-11-11-11-11-111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-111-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-111-1-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321−i321+i321+i32
χ161111-11-1111-1-111-1-1-1-111-111-1111111-1-11-1-111-1-1111-1-11111-1-111-1-1111111-1-111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-11-1-111-11-11-11-111111
χ171111-11-1111-1-111-1-1-1-1−1−i32−1+i32-1−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i3211-1-11-1-111-1-1111-1-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-111-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-11-1-1111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ181111-11-1111-1-111-1-1-1-1−1+i32−1−i32-1−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i3211-1-11-1-111-1-1111-1-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-111-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-11-1-1111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ191111-11-11-1-11111111111-111-11111-1-1111-1-111-1-11-1-111-1-111-1-111-1-11111-1-111-1-1111-11-1-1-11111111111-1-1-1-1-1-111-1-111-11-1111-1-1-11-11-11-11-1-1-1-1
χ201111-11-11-1-111111111−1−i32−1+i32-1−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i32-1-1111-1-111-1-11-1-111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-1-1-111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-1111-1-11+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i321+i321−i321−i32
χ211111-11-11-1-111111111−1+i32−1−i32-1−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i32-1-1111-1-111-1-11-1-111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-1-1-111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-1111-1-11−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i321−i321+i321+i32
χ221111-11-11-1-11111-1-1-1-111-111-11111-1-1111-11-11-11-1-1-1111111-1-111-1-11111-1-111-1-1111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1111-11-11-11-11111
χ231111-11-11-1-11111-1-1-1-1−1−i32−1+i32-1−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i32-1-1111-11-11-11-1-1-11111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-1-1-1111+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-1-1-111−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i32
χ241111-11-11-1-11111-1-1-1-1−1+i32−1−i32-1−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i32-1-1111-11-11-11-1-1-11111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-1-1-1111−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-1-1-111−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i32
χ2511-1-111-11i−ii−i-1-1ii−i−i11111-1-1-1-1-1i−ii−i-1-11-111-11i−ii−ii−i111111-1-1-1-1-1-1i−ii−ii−ii−i-1-111i−ii−iii−i−iii−i−i11-1-1i−ii−ii−ii−i-111-1i−ii−i1-11-1-11-11i−ii−i
χ2611-1-111-11i−ii−i-1-1ii−i−i−1−i32−1+i321−1−i32−1+i32-11+i321+i321−i321−i32i−ii−i-1-11-111-11i−ii−ii−i−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14-1-111i−ii−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−1−i32−1+i321+i321−i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14-111-1i−ii−i−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32ζ22−ζ22ζ14−ζ14
χ2711-1-111-11i−ii−i-1-1ii−i−i−1+i32−1−i321−1+i32−1−i32-11−i321−i321+i321+i32i−ii−i-1-11-111-11i−ii−ii−i−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22-1-111i−ii−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−1+i32−1−i321−i321+i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22-111-1i−ii−i−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32ζ14−ζ14ζ22−ζ22
χ2811-1-111-11i−ii−i-1-1−i−iii11111-1-1-1-1-1i−ii−i-1-1-11111-1i−ii−i−ii111111-1-1-1-1-1-1i−ii−ii−ii−i-1-111i−ii−i−i−iii−i−iii11-1-1i−ii−ii−ii−i1-1-11−ii−ii-11-111-11-1−ii−ii
χ2911-1-111-11i−ii−i-1-1−i−iii−1−i32−1+i321−1−i32−1+i32-11+i321+i321−i321−i32i−ii−i-1-1-11111-1i−ii−i−ii−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14-1-111i−ii−i−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1−i32−1+i321+i321−i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ141-1-11−ii−ii1+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−ζ22ζ22−ζ14ζ14
χ3011-1-111-11i−ii−i-1-1−i−iii−1+i32−1−i321−1+i32−1−i32-11−i321−i321+i321+i32i−ii−i-1-1-11111-1i−ii−i−ii−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22-1-111i−ii−i−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1−i321−i321+i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ221-1-11−ii−ii1−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−ζ14ζ14−ζ22ζ22
χ3111-1-111-11−ii−ii-1-1ii−i−i11111-1-1-1-1-1−ii−ii-1-1-11111-1−ii−iii−i111111-1-1-1-1-1-1−ii−ii−ii−ii-1-111−ii−iiii−i−iii−i−i11-1-1−ii−ii−ii−ii1-1-11i−ii−i-11-111-11-1i−ii−i
χ3211-1-111-11−ii−ii-1-1ii−i−i−1−i32−1+i321−1−i32−1+i32-11+i321+i321−i321−i32−ii−ii-1-1-11111-1−ii−iii−i−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14-1-111−ii−iiζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−1−i32−1+i321+i321−i32−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ141-1-11i−ii−i1+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32ζ22−ζ22ζ14−ζ14
χ3311-1-111-11−ii−ii-1-1ii−i−i−1+i32−1−i321−1+i32−1−i32-11−i321−i321+i321+i32−ii−ii-1-1-11111-1−ii−iii−i−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22-1-111−ii−iiζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−1+i32−1−i321−i321+i32−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ221-1-11i−ii−i1−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32ζ14−ζ14ζ22−ζ22
χ3411-1-111-11−ii−ii-1-1−i−iii11111-1-1-1-1-1−ii−ii-1-11-111-11−ii−ii−ii111111-1-1-1-1-1-1−ii−ii−ii−ii-1-111−ii−ii−i−iii−i−iii11-1-1−ii−ii−ii−ii-111-1−ii−ii1-11-1-11-11−ii−ii
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χ3611-1-111-11−ii−ii-1-1−i−iii−1+i32−1−i321−1+i32−1−i32-11−i321−i321+i321+i32−ii−ii-1-11-111-11−ii−ii−ii−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22-1-111−ii−ii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1−i321−i321+i32−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22-111-1−ii−ii−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−ζ14ζ14−ζ22ζ22
χ3711-1-1-1111i−i−ii-1-1ii−i−i11-1111-1-1-1-1i−i−ii-11111-1-1-1i−i−ii−ii11-1-11111-1-1-1-1i−i−iii−i−ii-111-1i−i−iiii−i−iii−i−i-1-111i−i−iii−i−ii-1-111i−i−ii1111-1-1-1-1−ii−ii
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χ4011-1-1-1111i−i−ii-1-1−i−iii11-1111-1-1-1-1i−i−ii-11-1-11-111i−i−iii−i11-1-11111-1-1-1-1i−i−iii−i−ii-111-1i−i−ii−i−iii−i−iii-1-111i−i−iii−i−ii11-1-1−iii−i-1-1-1-11111i−ii−i
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χ4311-1-1-1111−iii−i-1-1ii−i−i11-1111-1-1-1-1−iii−i-11-1-11-111−iii−i−ii11-1-11111-1-1-1-1−iii−i−iii−i-111-1−iii−iii−i−iii−i−i-1-111−iii−i−iii−i11-1-1i−i−ii-1-1-1-11111−ii−ii
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χ4611-1-1-1111−iii−i-1-1−i−iii11-1111-1-1-1-1−iii−i-11111-1-1-1−iii−ii−i11-1-11111-1-1-1-1−iii−i−iii−i-111-1−iii−i−i−iii−i−iii-1-111−iii−i−iii−i-1-111−iii−i1111-1-1-1-1i−ii−i
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.