Finite Group Databasebeta

← Group #11923405

Character table — Group #11923405

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222223333444444444444446666666666666688888888888888888888121212121212121212121212121212121616161616161616161616161818181818181818242424242424242424242424
order1244222344461212888833666661212121212121222224444888888336666666612121212121212121212666612121212242424242424242466666612121212121288888888242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i3211111111111111−1−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−i32111−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i3211111111111111−1+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
χ411111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111-1-1-1-1−1−i32−1+i32111−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i3211111111-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−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−i32111−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i3211111111-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+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
χ711111-1-111-1-11111111111-1-1111-1-1111111-1-111-1-111-1-1-1-1111-1-11-1-1111-1-11-1-1111111-1-111-1-1111111111-1-11-1-11-1-11-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ811111-1-111-1-11111111−1−i32−1+i321-1-1−1−i32−1+i321-1-1−1−i32−1−i32−1+i32−1+i3211-1-111-1-111-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i321111-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32
χ911111-1-111-1-11111111−1+i32−1−i321-1-1−1+i32−1−i321-1-1−1+i32−1+i32−1−i32−1−i3211-1-111-1-111-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i321111-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32
χ1011111-1-111-1-1111-1-1-1-1111-1-1111-1-1111111-1-111-1-1-1-11111111-1-11-1-1111-1-11-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-1-1-1-1-11111-1-11111-1-11111
χ1111111-1-111-1-1111-1-1-1-1−1−i32−1+i321-1-1−1−i32−1+i321-1-1−1−i32−1−i32−1+i32−1+i3211-1-111-1-1-1-11111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32-1-1-1-111111+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1211111-1-111-1-1111-1-1-1-1−1+i32−1−i321-1-1−1+i32−1−i321-1-1−1+i32−1+i32−1−i32−1−i3211-1-111-1-1-1-11111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32-1-1-1-111111−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ131111-11-11-11-1111111111-11-111-11-111111-11-11-11-1-1-111-1-111-11-1-11-111-11-1-11-111111-11-11-11-111111111-11-1-11-1-11-1-11-111-1-111-1-1-1-111-1-1-1-111-1-1
χ141111-11-11-11-11111111−1−i32−1+i32-11-1−1−i32−1+i32-11-1−1−i32−1−i32−1+i32−1+i321-11-11-11-1-1-111-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321-11-11-11-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i3211-1-111-1-11+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32
χ151111-11-11-11-11111111−1+i32−1−i32-11-1−1+i32−1−i32-11-1−1+i32−1+i32−1−i32−1−i321-11-11-11-1-1-111-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321-11-11-11-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i3211-1-111-1-11−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32
χ161111-11-11-11-1111-1-1-1-111-11-111-11-111111-11-11-11-111-1-11111-11-1-11-111-11-1-11-111111-11-11-11-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-1-111-1-11111-1-11111-1-111
χ171111-11-11-11-1111-1-1-1-1−1−i32−1+i32-11-1−1−i32−1+i32-11-1−1−i32−1−i32−1+i32−1+i321-11-11-11-111-1-111−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321-11-11-11-11+i321+i321+i321+i321−i321−i321−i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i32-1-111-1-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ181111-11-11-11-1111-1-1-1-1−1+i32−1−i32-11-1−1+i32−1−i32-11-1−1+i32−1+i32−1−i32−1−i321-11-11-11-111-1-111−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321-11-11-11-11−i321−i321−i321−i321+i321+i321+i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i32-1-111-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ191111-1-111-1-11111111111-1-1111-1-1111111-1-111-1-11-1-1-1-11111-1-11-1-1111-1-11-1-1111111-1-111-1-1111111111-1-11-1-11-1-11-1-1111-1-1-1-111-1-1-1-111-1-1-1-111
χ201111-1-111-1-111111111−1−i32−1+i32-1-11−1−i32−1+i32-1-11−1−i32−1−i32−1+i32−1+i321-1-111-1-11-1-1-1-111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-111-1-11−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32
χ211111-1-111-1-111111111−1+i32−1−i32-1-11−1+i32−1−i32-1-11−1+i32−1+i32−1−i32−1−i321-1-111-1-11-1-1-1-111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32
χ221111-1-111-1-11111-1-1-1-111-1-1111-1-1111111-1-111-1-111111-1-111-1-11-1-1111-1-11-1-1111111-1-111-1-11-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-11111-1-11111-1-11111-1-1
χ231111-1-111-1-11111-1-1-1-1−1−i32−1+i32-1-11−1−i32−1+i32-1-11−1−i32−1−i32−1+i32−1+i321-1-111-1-111111-1-1−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-111-1-111+i321+i321+i321+i321−i321−i321−i321−i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ241111-1-111-1-11111-1-1-1-1−1+i32−1−i32-1-11−1+i32−1−i32-1-11−1+i32−1+i32−1−i32−1−i321-1-111-1-111111-1-1−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-111-1-111−i321−i321−i321−i321+i321+i321+i321+i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ2511-1-111-11-1-111-1-1ii−i−i1111-111-1-11-1-1-1-1-1-1-11111-1i−ii−ii−i1111-111-111-1-11-1-11-1-1-1-1-1-1-11111-1ii−i−iii−i−i11-111-1-1-11-1-11i−ii−ii−ii−ii−ii−ii−ii−ii−ii−i
χ2611-1-111-11-1-111-1-1ii−i−i−1−i32−1+i3211-1−1−i32−1+i32-1-111+i321+i321−i321−i32-1-1-11111-1i−ii−ii−i−1−i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i321−i321−i32-1-1-11111-1ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i32i−ii−ii−ii−iζ22−ζ22ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ2711-1-111-11-1-111-1-1ii−i−i−1+i32−1−i3211-1−1+i32−1−i32-1-111−i321−i321+i321+i32-1-1-11111-1i−ii−ii−i−1+i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i321+i321+i32-1-1-11111-1ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i32i−ii−ii−ii−iζ14−ζ14ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ2811-1-111-11-1-111-1-1−i−iii1111-111-1-11-1-1-1-1-1-1-11111-1−ii−ii−ii1111-111-111-1-11-1-11-1-1-1-1-1-1-11111-1−i−iii−i−iii11-111-1-1-11-1-11−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii
χ2911-1-111-11-1-111-1-1−i−iii−1−i32−1+i3211-1−1−i32−1+i32-1-111+i321+i321−i321−i32-1-1-11111-1−ii−ii−ii−1−i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i321−i321−i32-1-1-11111-1−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i32−ii−ii−ii−ii−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14−ζ14ζ14
χ3011-1-111-11-1-111-1-1−i−iii−1+i32−1−i3211-1−1+i32−1−i32-1-111−i321−i321+i321+i32-1-1-11111-1−ii−ii−ii−1+i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i321+i321+i32-1-1-11111-1−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i32−ii−ii−ii−ii−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22−ζ22ζ22
χ3111-1-11-111-11-11-1-1ii−i−i111-1111-11-1-1-1-1-1-1-11-111-11i−i−ii−ii111-111-1111-11-1-11-1-1-1-1-1-1-11-111-11ii−i−iii−i−i1-111-11-11-1-11-1i−ii−i−ii−iii−i−ii−iii−i−ii−ii
χ3211-1-11-111-11-11-1-1ii−i−i−1−i32−1+i321-11−1−i32−1+i32-11-11+i321+i321−i321−i32-1-11-111-11i−i−ii−ii−1−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321+i321+i321−i321−i32-1-11-111-11ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−1−i321+i32−1−i32−1+i321−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32i−ii−i−ii−iiζ22−ζ22−ζ22ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ3311-1-11-111-11-11-1-1ii−i−i−1+i32−1−i321-11−1+i32−1−i32-11-11−i321−i321+i321+i32-1-11-111-11i−i−ii−ii−1+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−i321−i321+i321+i32-1-11-111-11ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−1+i321−i32−1+i32−1−i321+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32i−ii−i−ii−iiζ14−ζ14−ζ14ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ3411-1-11-111-11-11-1-1−i−iii111-1111-11-1-1-1-1-1-1-11-111-11−iii−ii−i111-111-1111-11-1-11-1-1-1-1-1-1-11-111-11−i−iii−i−iii1-111-11-11-1-11-1−ii−iii−ii−i−iii−ii−i−iii−ii−i
χ3511-1-11-111-11-11-1-1−i−iii−1−i32−1+i321-11−1−i32−1+i32-11-11+i321+i321−i321−i32-1-11-111-11−iii−ii−i−1−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321+i321+i321−i321−i32-1-11-111-11−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1−i321+i32−1−i32−1+i321−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−ii−iii−ii−i−ζ22ζ22ζ22−ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14ζ14−ζ14
χ3611-1-11-111-11-11-1-1−i−iii−1+i32−1−i321-11−1+i32−1−i32-11-11−i321−i321+i321+i32-1-11-111-11−iii−ii−i−1+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−i321−i321+i321+i32-1-11-111-11−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i321−i32−1+i32−1−i321+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−ii−iii−ii−i−ζ14ζ14ζ14−ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22ζ22−ζ22
χ3711-1-1-11111-1-11-1-1ii−i−i11-111111-1-1-1-1-1-1-11-1-11-111−iii−i−ii11-111-111111-1-11-1-1-1-1-1-1-11-1-11-111ii−i−iii−i−i-111-1111-1-11-1-1i−i−iii−i−ii−iii−i−ii−iii−i−ii
χ3811-1-1-11111-1-11-1-1ii−i−i−1−i32−1+i32-111−1−i32−1+i321-1-11+i321+i321−i321−i32-11-1-11-111−iii−i−ii−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i321+i321−i321−i32-11-1-11-111ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i32i−i−iii−i−ii−ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ14ζ14ζ14−ζ14−ζ14ζ14
χ3911-1-1-11111-1-11-1-1ii−i−i−1+i32−1−i32-111−1+i32−1−i321-1-11−i321−i321+i321+i32-11-1-11-111−iii−i−ii−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i321−i321+i321+i32-11-1-11-111ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i32i−i−iii−i−ii−ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ22ζ22ζ22−ζ22−ζ22ζ22
χ4011-1-1-11111-1-11-1-1−i−iii11-111111-1-1-1-1-1-1-11-1-11-111i−i−iii−i11-111-111111-1-11-1-1-1-1-1-1-11-1-11-111−i−iii−i−iii-111-1111-1-11-1-1−iii−i−iii−ii−i−iii−ii−i−iii−i
χ4111-1-1-11111-1-11-1-1−i−iii−1−i32−1+i32-111−1−i32−1+i321-1-11+i321+i321−i321−i32-11-1-11-111i−i−iii−i−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i321+i321−i321−i32-11-1-11-111−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−iii−i−iii−iζ22−ζ22−ζ22ζ22ζ22−ζ22ζ14−ζ14−ζ14ζ14ζ14−ζ14
χ4211-1-1-11111-1-11-1-1−i−iii−1+i32−1−i32-111−1+i32−1−i321-1-11−i321−i321+i321+i32-11-1-11-111i−i−iii−i−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i321−i321+i321+i32-11-1-11-111−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−iii−i−iii−iζ14−ζ14−ζ14ζ14ζ14−ζ14ζ22−ζ22−ζ22ζ22ζ22−ζ22
χ4311-1-1-1-1-111111-1-1ii−i−i11-1-1-111111-1-1-1-1-11111-1-1-1−ii−iii−i11-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1ii−i−iii−i−i-1-1-1-1-1-1111111i−i−ii−iii−i−ii−iii−i−ii−iii−i
χ4411-1-1-1-1-111111-1-1ii−i−i−1−i32−1+i32-1-1-1−1−i32−1+i321111+i321+i321−i321−i32-11111-1-1-1−ii−iii−i−1−i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-11111-1-1-1ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32i−i−ii−iii−i−ζ22ζ22−ζ22ζ22ζ22−ζ22−ζ14ζ14−ζ14ζ14ζ14−ζ14
χ4511-1-1-1-1-111111-1-1ii−i−i−1+i32−1−i32-1-1-1−1+i32−1−i321111−i321−i321+i321+i32-11111-1-1-1−ii−iii−i−1+i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-11111-1-1-1ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32i−i−ii−iii−i−ζ14ζ14−ζ14ζ14ζ14−ζ14−ζ22ζ22−ζ22ζ22ζ22−ζ22
χ4611-1-1-1-1-111111-1-1−i−iii11-1-1-111111-1-1-1-1-11111-1-1-1i−ii−i−ii11-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1−i−iii−i−iii-1-1-1-1-1-1111111−iii−ii−i−iii−ii−i−iii−ii−i−ii
χ4711-1-1-1-1-111111-1-1−i−iii−1−i32−1+i32-1-1-1−1−i32−1+i321111+i321+i321−i321−i32-11111-1-1-1i−ii−i−ii−1−i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-11111-1-1-1−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−iii−ii−i−iiζ22−ζ22ζ22−ζ22−ζ22ζ22ζ14−ζ14ζ14−ζ14−ζ14ζ14
χ4811-1-1-1-1-111111-1-1−i−iii−1+i32−1−i32-1-1-1−1+i32−1−i321111−i321−i321+i321+i32-11111-1-1-1i−ii−i−ii−1+i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-11111-1-1-1−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−iii−ii−i−iiζ14−ζ14ζ14−ζ14−ζ14ζ14ζ22−ζ22ζ22−ζ22−ζ22ζ22
χ492222222-1222-1-1-1000022-1-1-122-1-1-1222222222222000000-1-1222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ502222222-1222-1-1-10000−1−i3−1+i3-1-1-1−1−i3−1+i3-1-1-1−1−i3−1−i3−1+i3−1+i3222222220000001+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321−i321−i32-1-1-1-1-1-1-1-1000000001+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i3200000000000000000000
χ512222222-1222-1-1-10000−1+i3−1−i3-1-1-1−1+i3−1−i3-1-1-1−1+i3−1+i3−1−i3−1−i3222222220000001−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321+i321+i32-1-1-1-1-1-1-1-1000000001−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i3200000000000000000000
χ5222222-2-2-12-2-2-1-1-1000022-11122-111222222-2-222-2-2000000-1-12-2-22-2-2-1-12-2-22-2-2-1-1-1-1-1-111-1-11100000000-111-111-111-11100000000000000000000
χ5322222-2-2-12-2-2-1-1-10000−1−i3−1+i3-111−1−i3−1+i3-111−1−i3−1−i3−1+i3−1+i322-2-222-2-20000001+i321−i32−1−i31+i31+i3−1+i31−i31−i31+i321−i32−1−i31+i31+i3−1+i31−i31−i31+i321+i321−i321−i32-1-111-1-111000000001+i32−1−i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i3200000000000000000000
χ5422222-2-2-12-2-2-1-1-10000−1+i3−1−i3-111−1+i3−1−i3-111−1+i3−1+i3−1−i3−1−i322-2-222-2-20000001−i321+i32−1+i31−i31−i3−1−i31+i31+i31−i321+i32−1+i31−i31−i3−1−i31+i31+i31−i321−i321+i321+i32-1-111-1-111000000001−i32−1+i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i3200000000000000000000
χ552222-22-2-1-22-2-1-1-10000221-11221-1122222-22-22-22-2000000-1-1-22-2-22-2-1-1-22-2-22-2-1-1-1-1-11-11-11-11000000001-111-111-111-1100000000000000000000
χ562222-22-2-1-22-2-1-1-10000−1−i3−1+i31-11−1−i3−1+i31-11−1−i3−1−i3−1+i3−1+i32-22-22-22-20000001+i321−i321+i3−1−i31+i31−i3−1+i31−i31+i321−i321+i3−1−i31+i31−i3−1+i31−i31+i321+i321−i321−i32-11-11-11-1100000000−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i3200000000000000000000
χ572222-22-2-1-22-2-1-1-10000−1+i3−1−i31-11−1+i3−1−i31-11−1+i3−1+i3−1−i3−1−i32-22-22-22-20000001−i321+i321−i3−1+i31−i31+i3−1−i31+i31−i321+i321−i3−1+i31−i31+i3−1−i31+i31−i321−i321+i321+i32-11-11-11-1100000000−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i3200000000000000000000
χ582222-2-22-1-2-22-1-1-100002211-12211-122222-2-222-2-22000000-1-1-2-22-2-22-1-1-2-22-2-22-1-1-1-1-111-1-111-10000000011-111-111-111-100000000000000000000
χ592222-2-22-1-2-22-1-1-10000−1−i3−1+i311-1−1−i3−1+i311-1−1−i3−1−i3−1+i3−1+i32-2-222-2-220000001+i321−i321+i31+i3−1−i31−i31−i3−1+i31+i321−i321+i31+i3−1−i31−i31−i3−1+i31+i321+i321−i321−i32-111-1-111-100000000−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3200000000000000000000
χ602222-2-22-1-2-22-1-1-10000−1+i3−1−i311-1−1+i3−1−i311-1−1+i3−1+i3−1−i3−1−i32-2-222-2-220000001−i321+i321−i31−i3−1+i31+i31+i3−1−i31−i321+i321−i31−i3−1+i31+i31+i3−1−i31−i321−i321+i321+i32-111-1-111-100000000−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i3200000000000000000000
χ6122-2-222-2-1-2-22-111000022-1-112211-1-2-2-2-2-2-2-22222-2000000-1-122-222-2-1-1-2-22-2-221111111-1-1-1-1100000000-1-11-1-1111-111-100000000000000000000
χ6222-2-222-2-1-2-22-1110000−1−i3−1+i3-1-11−1−i3−1+i311-11+i31+i31−i31−i3-2-2-22222-20000001+i321−i32−1−i3−1−i31+i3−1+i3−1+i31−i31+i321−i321+i31+i3−1−i31−i31−i3−1+i3−1−i32−1−i32−1+i32−1+i32111-1-1-1-11000000001+i321+i32−1−i321−i321−i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i3200000000000000000000
χ6322-2-222-2-1-2-22-1110000−1+i3−1−i3-1-11−1+i3−1−i311-11−i31−i31+i31+i3-2-2-22222-20000001−i321+i32−1+i3−1+i31−i3−1−i3−1−i31+i31−i321+i321−i31−i3−1+i31+i31+i3−1−i3−1+i32−1+i32−1−i32−1−i32111-1-1-1-11000000001−i321−i32−1+i321+i321+i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i3200000000000000000000
χ6422-2-22-22-1-22-2-111000022-11-1221-11-2-2-2-2-2-22-222-22000000-1-12-222-22-1-1-22-2-22-2111111-11-1-11-100000000-11-1-11-11-111-1100000000000000000000
χ6522-2-22-22-1-22-2-1110000−1−i3−1+i3-11-1−1−i3−1+i31-111+i31+i31−i31−i3-2-22-222-220000001+i321−i32−1−i31+i3−1−i3−1+i31−i3−1+i31+i321−i321+i3−1−i31+i31−i3−1+i31−i3−1−i32−1−i32−1+i32−1+i3211-11-1-11-1000000001+i32−1−i321+i321−i32−1+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i3200000000000000000000
χ6622-2-22-22-1-22-2-1110000−1+i3−1−i3-11-1−1+i3−1−i31-111−i31−i31+i31+i3-2-22-222-220000001−i321+i32−1+i31−i3−1+i3−1−i31+i3−1−i31−i321+i321−i3−1+i31−i31+i3−1−i31+i3−1+i32−1+i32−1−i32−1−i3211-11-1-11-1000000001−i32−1+i321−i321+i32−1−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i3200000000000000000000
χ6722-2-2-222-12-2-2-1110000221-1-122-111-2-2-2-2-22-2-22-222000000-1-1-222-222-1-12-2-22-2-211111-111-11-1-1000000001-1-11-1-1-111-11100000000000000000000
χ6822-2-2-222-12-2-2-1110000−1−i3−1+i31-1-1−1−i3−1+i3-1111+i31+i31−i31−i3-22-2-22-2220000001+i321−i321+i3−1−i3−1−i31−i3−1+i3−1+i31+i321−i32−1−i31+i31+i3−1+i31−i31−i3−1−i32−1−i32−1+i32−1+i321-111-11-1-100000000−1−i321+i321+i32−1+i321−i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i3200000000000000000000
χ6922-2-2-222-12-2-2-1110000−1+i3−1−i31-1-1−1+i3−1−i3-1111−i31−i31+i31+i3-22-2-22-2220000001−i321+i321−i3−1+i3−1+i31+i3−1−i3−1−i31−i321+i32−1+i31−i31−i3−1−i31+i31+i3−1+i32−1+i32−1−i32−1−i321-111-11-1-100000000−1+i321−i321−i32−1−i321+i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i3200000000000000000000
χ7022-2-2-2-2-2-1222-11100002211122-1-1-1-2-2-2-2-22222-2-2-2000000-1-1-2-2-2-2-2-2-1-122222211111-1-1-1-111100000000111111-1-1-1-1-1-100000000000000000000
χ7122-2-2-2-2-2-1222-1110000−1−i3−1+i3111−1−i3−1+i3-1-1-11+i31+i31−i31−i3-22222-2-2-20000001+i321−i321+i31+i31+i31−i31−i31−i31+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i32−1−i32−1+i32−1+i321-1-1-1-111100000000−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i3200000000000000000000
χ7222-2-2-2-2-2-1222-1110000−1+i3−1−i3111−1+i3−1−i3-1-1-11−i31−i31+i31+i3-22222-2-2-20000001−i321+i321−i31−i31−i31+i31+i31+i31−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i32−1+i32−1−i32−1−i321-1-1-1-111100000000−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i3200000000000000000000
χ7333333333333333333300333003330000-1-1-1-1-1-1-1-133333300000000000000000000-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-1-1-1-1000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.