Finite Group Databasebeta

← Group #13135617

Character table — Group #13135617

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size11112222222233333333444444466666666666666666666888888121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636363636363636363636363636
order12223444466633666666412121212121299912121212121212121818181818181818182466121212123636363636363636363636363636363636366612121818181818183636363636368888888824242424242424242424242424242424
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+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−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+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111111−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−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+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+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+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+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−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+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−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111111−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+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−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−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−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−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
χ1311111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1411111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ1511111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111ii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii
χ1611111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i
χ1711111-1-1-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-1-1-1-1111−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321-111-1-1−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7
χ1811111-1-1-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-1-1-1-1111−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321-111-1-1−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7
χ1911111-1-1-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-1-1-1-1111−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-11-1-111−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32ii−i−i−i−iiiζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7
χ2011111-1-1-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-1-1-1-1111−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-11-1-111−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−i−iiiii−i−i−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7
χ2111111-1-1-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-1-1-1-1111−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321-111-1-1−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11
χ2211111-1-1-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-1-1-1-1111−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321-111-1-1−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11
χ2311111-1-1-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-1-1-1-1111−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-11-1-111−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32ii−i−i−i−iiiζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11
χ2411111-1-1-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-1-1-1-1111−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-11-1-111−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−i−iiiii−i−i−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11
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+i3-1-11+i321+i321−i321−i32-11+i321−i32222222−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+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+i3-1-11+i321+i321−i321−i32-11+i321−i32-2-2-2-2-2-2−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i321+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−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−i3-1-11−i321−i321+i321+i32-11−i321+i32222222−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−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−i3-1-11−i321−i321+i321+i32-11−i321+i32-2-2-2-2-2-2−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i321−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000000000000000
χ312222222-2-222222222222-222-2-2-2-222222-2-222-2-2222222222000000-2-222-2-222-2-222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ322222222-2-222222222222-222-2-2-2-2-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1-1000000-2-2-1-111-1-111-1-1111111110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ332222222-2-222222222222-222-2-2-2-2-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1-1000000-2-2-1-111-1-111-1-1111111110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ342222222-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-222-2-2-2-22−1−i3−1+i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i30000001+i31−i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-2-21+i31+i31−i31−i30000000000000000000000000000000000000000
χ352222222-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-222-2-2-2-2-11+i321−i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-1-11+i321+i321−i321−i32-11+i321−i320000001+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i320000−i3i3−3+i323−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i32000000000000000000000000
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χ8344-4-4400−4i4i4-4-4−2−2i3−2+2i3−2−2i32+2i3−2+2i32−2i32+2i32−2i3000−4i4i00-21+i31−i300−4ζ114ζ1100−4ζ74ζ7-221+i3−1−i31−i3−1+i32−1−i3−1+i300000000002i−2i002ζ11−2ζ11002ζ7−2ζ70000000000000000000000000000000000000000000000
χ8444-4-4400−4i4i4-4-4−2+2i3−2−2i3−2+2i32−2i3−2−2i32+2i32−2i32+2i3000−4i4i00-21−i31+i300−4ζ74ζ700−4ζ114ζ11-221−i3−1+i31+i3−1−i32−1+i3−1−i300000000002i−2i002ζ7−2ζ7002ζ11−2ζ110000000000000000000000000000000000000000000000
χ854-44-444i−4i00-44-444-44-44-4-404i−4i0000-2-2-24i−4i004i−4i002-22-22-222200000000−2i2i00−2i2i00−2i2i000000000000000000000000000000000000000000000000
χ864-44-444i−4i00-44-4−2−2i3−2+2i32+2i3−2−2i32−2i3−2+2i32+2i32−2i304i−4i0000-21+i31−i34ζ11−4ζ11004ζ7−4ζ7002-2−1−i31+i3−1+i31−i32−1−i3−1+i300000000−2i2i00−2ζ112ζ1100−2ζ72ζ7000000000000000000000000000000000000000000000000
χ874-44-444i−4i00-44-4−2+2i3−2−2i32−2i3−2+2i32+2i3−2−2i32−2i32+2i304i−4i0000-21−i31+i34ζ7−4ζ7004ζ11−4ζ11002-2−1+i31−i3−1−i31+i32−1+i3−1−i300000000−2i2i00−2ζ72ζ700−2ζ112ζ11000000000000000000000000000000000000000000000000
χ884-44-44−4i4i00-44-444-44-44-4-40−4i4i0000-2-2-2−4i4i00−4i4i002-22-22-2222000000002i−2i002i−2i002i−2i000000000000000000000000000000000000000000000000
χ894-44-44−4i4i00-44-4−2−2i3−2+2i32+2i3−2−2i32−2i3−2+2i32+2i32−2i30−4i4i0000-21+i31−i3−4ζ114ζ1100−4ζ74ζ7002-2−1−i31+i3−1+i31−i32−1−i3−1+i3000000002i−2i002ζ11−2ζ11002ζ7−2ζ7000000000000000000000000000000000000000000000000
χ904-44-44−4i4i00-44-4−2+2i3−2−2i32−2i3−2+2i32+2i3−2−2i32−2i32+2i30−4i4i0000-21−i31+i3−4ζ74ζ700−4ζ114ζ11002-2−1+i31−i3−1−i31+i32−1+i3−1−i3000000002i−2i002ζ7−2ζ7002ζ11−2ζ11000000000000000000000000000000000000000000000000
χ914-4-4440000-4-4444-4-4-4-444000000044400000000-4-4-4-4-4-4444000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4440000-4-4444-4-4-4-4440000000-2-2-200000000222222-2-2-200000000000000000000−2i32i3−2i32i3−2i32i30000000000000000000000000000000000000000
χ934-4-4440000-4-4444-4-4-4-4440000000-2-2-200000000222222-2-2-2000000000000000000002i3−2i32i3−2i32i3−2i30000000000000000000000000000000000000000
χ944-4-4440000-4-44−2−2i3−2+2i32+2i32+2i32−2i32−2i3−2−2i3−2+2i300000004−2−2i3−2+2i300000000-4-42+2i32+2i32−2i32−2i34−2−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000
χ954-4-4440000-4-44−2−2i3−2+2i32+2i32+2i32−2i32−2i3−2−2i3−2+2i30000000-21+i31−i30000000022−1−i3−1−i3−1+i3−1+i3-21+i31−i300000000000000000000−2i32i3−3+i33−i33+i3−3−i30000000000000000000000000000000000000000
χ964-4-4440000-4-44−2−2i3−2+2i32+2i32+2i32−2i32−2i3−2−2i3−2+2i30000000-21+i31−i30000000022−1−i3−1−i3−1+i3−1+i3-21+i31−i3000000000000000000002i3−2i33−i3−3+i3−3−i33+i30000000000000000000000000000000000000000
χ974-4-4440000-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i300000004−2+2i3−2−2i300000000-4-42−2i32−2i32+2i32+2i34−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4440000-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i30000000-21−i31+i30000000022−1+i3−1+i3−1−i3−1−i3-21−i31+i300000000000000000000−2i32i33+i3−3−i3−3+i33−i30000000000000000000000000000000000000000
χ994-4-4440000-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i30000000-21−i31+i30000000022−1+i3−1+i3−1−i3−1−i3-21−i31+i3000000000000000000002i3−2i3−3−i33+i33−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
χ1026666-366-6-6-3-3-300000000-6-3-333330000000000000000000000−3i33i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1036666-366-6-6-3-3-300000000-6-3-3333300000000000000000000003i3−3i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1046666-3-6-666-3-3-300000000-633-3-3330000000000000000000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1056666-3-6-666-3-3-300000000-633-3-33300000000000000000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1066666-3-6-6-6-6-3-3-30000000063333-3-3000000000000000000006-6-3-333000000000000000000000000000000000000000000000000000000000000
χ1076666-3-6-6-6-6-3-3-30000000063333-3-300000000000000000000-6633-3-3000000000000000000000000000000000000000000000000000000000000
χ1081212-12-12-60012i−12i-66600000000000−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1091212-12-12-600−12i12i-666000000000006i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11012-1212-12-612i−12i006-66000000000−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11112-1212-12-6−12i12i006-660000000006i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11212-12-1212-6000066-60000000000000−6i36i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11312-12-1212-6000066-600000000000006i3−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.