Finite Group Databasebeta

← Group #13142993

Character table — Group #13142993

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size11112222222233333333444444466666666666666666666888888121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636363636363636363636363636
order1222344446663366666641212121212129991212121212121212181818181818181818226666121236363636363636363636363636363636363666661818181818181818181818184444888812121212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32111111−1−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+i321111−1−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
χ6111111111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32111111−1−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+i321111−1−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+i321−i321−i321−i321−i32
χ7111111111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1−1−i32−1+i32111111−1−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−i32-1-1-1-11+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+i321−i321−i321−i321−i32
χ8111111111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1−1−i32−1+i32111111−1−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−i32-1-1-1-11+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−i32−1+i32−1+i32−1+i32−1+i32
χ9111111111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32111111−1+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−i321111−1+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
χ10111111111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32111111−1+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−i321111−1+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−i321+i321+i321+i321+i32
χ11111111111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1−1+i32−1−i32111111−1+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+i32-1-1-1-11−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−i321+i321+i321+i321+i32
χ12111111111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1−1+i32−1−i32111111−1+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+i32-1-1-1-11−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+i32−1−i32−1−i32−1−i32−1−i32
χ1311111-1-11111111111111-111-1-1-1-1111-1-1-1-111111111111111-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1411111-1-11111111111111-111-1-1-1-1111-1-1-1-111111111111111-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ1511111-1-11111111111111-111-1-1-1-1111-1-1-1-11111111111111-11-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ1611111-1-11111111111111-111-1-1-1-1111-1-1-1-11111111111111-11-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-11-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1
χ1711111-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-1-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-111-1-11+i321−i3211-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ1811111-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-1-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-111-1-11+i321−i3211-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ1911111-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-1-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-1111+i321−i3211-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ2011111-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-1-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-1111+i321−i3211-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ2111111-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-1-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-111-1-11−i321+i3211-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ2211111-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-1-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-111-1-11−i321+i3211-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ2311111-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-1-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-1111−i321+i3211-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ2411111-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-1-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-1111−i321+i3211-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ25222222222222222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ26222222222222222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000
χ27222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32222222-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32222222−1−i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000
χ28222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32222222-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-2-2-2-2-2-2−1−i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ29222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32222222-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32222222−1+i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000
χ30222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32222222-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-2-2-2-2-2-2−1+i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
χ312222222-2-222222222222-2-2-222-2-22222222-2-2-2-2222222222000000-2-2-2-222-2-2-2-222-2-2-2-222-2-20000000000000000000000000000000000000000
χ322222222-2-222222222222-2-2-222-2-2-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1000000-2-211-1-11111-1-11111-1-1110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ332222222-2-222222222222-2-2-222-2-2-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1000000-2-211-1-11111-1-11111-1-1110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ342222222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-222-2-22−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000001+i31−i3-2-222-2-21+i31+i3−1−i3−1−i31+i31+i31−i31−i3−1+i3−1+i31−i31−i30000000000000000000000000000000000000000
χ352222222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-222-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i3-1-1-11+i321+i321+i321−i321−i321−i320000001+i31−i311-1-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000000000000000000000
χ362222222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-222-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i3-1-1-11+i321+i321+i321−i321−i321−i320000001+i31−i311-1-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000000000000000000000
χ372222222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-222-2-22−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000001−i31+i3-2-222-2-21−i31−i3−1+i3−1+i31−i31−i31+i31+i3−1−i3−1−i31+i31+i30000000000000000000000000000000000000000
χ382222222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-222-2-2-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i3-1-1-11−i321−i321−i321+i321+i321+i320000001−i31+i311-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32000000000000000000000000
χ392222222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-222-2-2-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i3-1-1-11−i321−i321−i321+i321+i321+i320000001−i31+i311-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32000000000000000000000000
χ4022222-2-22222222222222-222-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-12-222-2-2-2-2-1-11111-1-11111-1-111112-22-2-1-111-1-111-1-111000000000000000000000000
χ4122222-2-22222222222222-222-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-22-2-222-2-2-1-11111-1-11111-1-11111-22-2211-1-111-1-111-1-1000000000000000000000000
χ4222222-2-222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-222-2-2-2-2-11+i321−i321+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i322-222-2-21+i31−i3-1-111111+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i31+i3−1+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000000000000000
χ4322222-2-222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-222-2-2-2-2-11+i321−i321+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-22-2-2221+i31−i3-1-111111+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i3−1−i31−i3−1+i311-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000000000000000
χ4422222-2-222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-222-2-2-2-2-11−i321+i321−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i322-222-2-21−i31+i3-1-111111−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i31−i3−1−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32000000000000000000000000
χ4522222-2-222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-222-2-2-2-2-11−i321+i321−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-22-2-2221−i31+i3-1-111111−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i3−1+i31+i3−1−i311-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000000000000000000000
χ4622222-2-2-2-2222222222222-2-2-2-222222-2-2-2-2-2-2-2-222222222200000022-2-2-2-222-2-2-2-222-2-2-2-2220000000000000000000000000000000000000000
χ4722222-2-2-2-2222222222222-2-2-2-222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1000000221111-1-11111-1-11111-1-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ4822222-2-2-2-2222222222222-2-2-2-222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1000000221111-1-11111-1-11111-1-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ4922222-2-2-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-2-2-2-2222−1−i3−1+i31+i31+i31−i31−i31+i31−i31+i31−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000−1−i3−1+i3-2-2-2-2221+i31+i31+i31+i3−1−i3−1−i31−i31−i31−i31−i3−1+i3−1+i30000000000000000000000000000000000000000
χ5022222-2-2-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-2-2-2-222-11+i321−i321+i31+i31−i31−i31+i31−i31+i31−i3-1-1-11+i321+i321+i321−i321−i321−i32000000−1−i3−1+i31111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−i3i3i3−i3−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i32000000000000000000000000
χ5122222-2-2-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-2-2-2-222-11+i321−i321+i31+i31−i31−i31+i31−i31+i31−i3-1-1-11+i321+i321+i321−i321−i321−i32000000−1−i3−1+i31111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000i3−i3−i3i33−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i32000000000000000000000000
χ5222222-2-2-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-2-2-2-2222−1+i3−1−i31−i31−i31+i31+i31−i31+i31−i31+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000−1+i3−1−i3-2-2-2-2221−i31−i31−i31−i3−1+i3−1+i31+i31+i31+i31+i3−1−i3−1−i30000000000000000000000000000000000000000
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χ5422222-2-2-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-2-2-2-222-11−i321+i321−i31−i31+i31+i31−i31+i31−i31+i3-1-1-11−i321−i321−i321+i321+i321+i32000000−1+i3−1−i31111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000i3−i3−i3i3−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32000000000000000000000000
χ5522-2-222-2002-2-22222-2-2-2-20002-2002222-22-200002-2-22-2-22-2-200000000002-200002-200002-20000000000000000000000−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2
χ5622-2-222-2002-2-22222-2-2-2-20002-2002222-22-200002-2-22-2-22-2-200000000002-200002-200002-20000000000000000000000i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2
χ5722-2-222-2002-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i30002-2002−1−i3−1+i3−1−i31+i3−1+i31−i300002-2-2−1−i31+i31+i3−1+i31−i31−i300000000002-20000−1−i31+i30000−1+i31−i30000000000000000000000−i2i2−i2i200000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23
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χ672-22-22002-2-22-222-2-22-22-202-20000222000022-2-2-22-2-22-2-22-2000000002-200002-200002-200000000000000000000002i−2i0000002i−2i002i−2i00000000
χ682-22-22002-2-22-222-2-22-22-202-20000222000022-2-2-22-2-22-2-22-2000000002-200002-200002-20000000000000000000000−2i2i000000−2i2i00−2i2i00000000
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χ742-22-2200-22-22-222-2-22-22-20-2200002220000-2-222-22-2-22-2-22-200000000-220000-220000-2200000000000000000000-22000000-2200-220000000000
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χ8444-4-44-44004-4-4−2+2i3−2−2i3−2+2i3−2−2i32−2i32−2i32+2i32+2i3000-4400-21−i31+i32−2i3−2+2i32+2i3−2−2i30000-2221−i3−1+i3−1+i31+i3−1−i3−1−i300000000002-20000−1+i31−i30000−1−i31+i3000000000000000000000000000000000000000000
χ854-44-44004-4-44-444-4-44-44-404-40000-2-2-2000044-4-42-222-222-2200000000-220000-220000-2200000000000000000000000000000000000000000000
χ864-44-44004-4-44-4−2−2i3−2+2i32+2i32−2i3−2−2i32+2i3−2+2i32−2i304-40000-21+i31−i30000−2−2i3−2+2i32+2i32−2i32-22−1−i31+i3−1−i3−1+i31−i3−1+i300000000-2200001+i3−1−i300001−i3−1+i300000000000000000000000000000000000000000000
χ874-44-44004-4-44-4−2+2i3−2−2i32−2i32+2i3−2+2i32−2i3−2−2i32+2i304-40000-21−i31+i30000−2+2i3−2−2i32−2i32+2i32-22−1+i31−i3−1+i3−1−i31+i3−1−i300000000-2200001−i3−1+i300001+i3−1−i300000000000000000000000000000000000000000000
χ884-44-4400-44-44-444-4-44-44-40-440000-2-2-20000-4-4442-222-222-22000000002-200002-200002-200000000000000000000000000000000000000000000
χ894-44-4400-44-44-4−2−2i3−2+2i32+2i32−2i3−2−2i32+2i3−2+2i32−2i30-440000-21+i31−i300002+2i32−2i3−2−2i3−2+2i32-22−1−i31+i3−1−i3−1+i31−i3−1+i3000000002-20000−1−i31+i30000−1+i31−i300000000000000000000000000000000000000000000
χ904-44-4400-44-44-4−2+2i3−2−2i32−2i32+2i3−2+2i32−2i3−2−2i32+2i30-440000-21−i31+i300002−2i32+2i3−2+2i3−2−2i32-22−1+i31−i3−1+i3−1−i31+i3−1−i3000000002-20000−1+i31−i30000−1−i31+i300000000000000000000000000000000000000000000
χ914-4-4440000-4-4444-4-4-44-44000000044400000000-4-44-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4440000-4-4444-4-4-44-440000000-2-2-20000000022-222-222-2000000000000−2i32i30000−2i32i30000−2i32i30000000000000000000000000000000000000000
χ934-4-4440000-4-4444-4-4-44-440000000-2-2-20000000022-222-222-20000000000002i3−2i300002i3−2i300002i3−2i30000000000000000000000000000000000000000
χ944-4-4440000-4-44−2−2i3−2+2i32+2i32−2i32+2i3−2−2i32−2i3−2+2i300000004−2−2i3−2+2i300000000-4-442+2i32+2i3−2−2i32−2i32−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000
χ954-4-4440000-4-44−2−2i3−2+2i32+2i32−2i32+2i3−2−2i32−2i3−2+2i30000000-21+i31−i30000000022-2−1−i3−1−i31+i3−1+i3−1+i31−i3000000000000−2i32i30000−3+i33−i300003+i3−3−i30000000000000000000000000000000000000000
χ964-4-4440000-4-44−2−2i3−2+2i32+2i32−2i32+2i3−2−2i32−2i3−2+2i30000000-21+i31−i30000000022-2−1−i3−1−i31+i3−1+i3−1+i31−i30000000000002i3−2i300003−i3−3+i30000−3−i33+i30000000000000000000000000000000000000000
χ974-4-4440000-4-44−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i300000004−2+2i3−2−2i300000000-4-442−2i32−2i3−2+2i32+2i32+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4440000-4-44−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i30000000-21−i31+i30000000022-2−1+i3−1+i31−i3−1−i3−1−i31+i3000000000000−2i32i300003+i3−3−i30000−3+i33−i30000000000000000000000000000000000000000
χ994-4-4440000-4-44−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i30000000-21−i31+i30000000022-2−1+i3−1+i31−i3−1−i3−1−i31+i30000000000002i3−2i30000−3−i33+i300003−i3−3+i30000000000000000000000000000000000000000
χ1006666-36666-3-3-3000000006-3-3-3-3-3-30000000000000000000066-3-3-3-3000000000000000000000000000000000000000000000000000000000000
χ1016666-36666-3-3-3000000006-3-3-3-3-3-300000000000000000000-6-63333000000000000000000000000000000000000000000000000000000000000
χ1026666-366-6-6-3-3-300000000-633-3-3330000000000000000000000−3i33i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1036666-366-6-6-3-3-300000000-633-3-33300000000000000000000003i3−3i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1046666-3-6-666-3-3-300000000-6-3-33333000000000000000000006-6-3-333000000000000000000000000000000000000000000000000000000000000
χ1056666-3-6-666-3-3-300000000-6-3-3333300000000000000000000-6633-3-3000000000000000000000000000000000000000000000000000000000000
χ1066666-3-6-6-6-6-3-3-30000000063333-3-30000000000000000000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1076666-3-6-6-6-6-3-3-30000000063333-3-300000000000000000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1081212-12-12-612-1200-66600000000000-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1091212-12-12-6-121200-666000000000006-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11012-1212-12-60012-126-66000000000-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11112-1212-12-600-12126-660000000006-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11212-12-1212-6000066-60000000000000−6i36i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11312-12-1212-6000066-600000000000006i3−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.