Finite Group Databasebeta

← Group #13147292

Character table — Group #13147292

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111122222222666666666666999999991212121212121212121212121212121212121212121212121212121212121212242424242424242424242424242424243636363636363636363636363636363654545454
order12224444366612121212223446661212121244444444336666666666666612121212121212121212121212121212336666661212121212121212121212121212121212121212121212124444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111−1−i32−1+i3211111111−1−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−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+i32−1+i321111
χ3111111111111111111111111111111111111−1+i32−1−i3211111111−1+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+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−i32−1−i321111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1−1−i32−1+i3211111111−1−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−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1−1+i32−1−i3211111111−1+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+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1
χ71111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ81111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1−1−i32−1+i32-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1
χ91111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1−1+i32−1−i32-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1
χ101111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−1−i32−1+i32-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-111
χ121111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−1+i32−1−i32-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-111
χ1311-1-111-1-11-1-1111-1-11-111-1-1-1111-1-1ii−i−iii−i−i111-1111-1-1-111-1-1-1-11-1111-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−i
χ1411-1-111-1-11-1-1111-1-11-111-1-1-1111-1-1ii−i−iii−i−i−1−i32−1+i321-1111-1-1-1−1−i32−1+i321+i321+i321−i321−i321-1111-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7i−ii−i
χ1511-1-111-1-11-1-1111-1-11-111-1-1-1111-1-1ii−i−iii−i−i−1+i32−1−i321-1111-1-1-1−1+i32−1−i321−i321−i321+i321+i321-1111-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11i−ii−i
χ1611-1-111-1-11-1-1111-1-11-111-1-1-1111-1-1−i−iii−i−iii111-1111-1-1-111-1-1-1-11-1111-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii
χ1711-1-111-1-11-1-1111-1-11-111-1-1-1111-1-1−i−iii−i−iii−1−i32−1+i321-1111-1-1-1−1−i32−1+i321+i321+i321−i321−i321-1111-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ii−ii
χ1811-1-111-1-11-1-1111-1-11-111-1-1-1111-1-1−i−iii−i−iii−1+i32−1−i321-1111-1-1-1−1+i32−1−i321−i321−i321+i321+i321-1111-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ii−ii
χ1911-1-1-1-1111-1-11-1-111-1111-1-1-11-1-111ii−i−i−i−iii11-11-1-1-111111-1-1-1-11-1111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ2011-1-1-1-1111-1-11-1-111-1111-1-1-11-1-111ii−i−i−i−iii−1−i32−1+i32-11-1-1-1111−1−i32−1+i321+i321+i321−i321−i321-1111-1-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7i−i−ii
χ2111-1-1-1-1111-1-11-1-111-1111-1-1-11-1-111ii−i−i−i−iii−1+i32−1−i32-11-1-1-1111−1+i32−1−i321−i321−i321+i321+i321-1111-1-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11i−i−ii
χ2211-1-1-1-1111-1-11-1-111-1111-1-1-11-1-111−i−iiiii−i−i11-11-1-1-111111-1-1-1-11-1111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ2311-1-1-1-1111-1-11-1-111-1111-1-1-11-1-111−i−iiiii−i−i−1−i32−1+i32-11-1-1-1111−1−i32−1+i321+i321+i321−i321−i321-1111-1-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−iii−i
χ2411-1-1-1-1111-1-11-1-111-1111-1-1-11-1-111−i−iiiii−i−i−1+i32−1−i32-11-1-1-1111−1+i32−1−i321−i321−i321+i321+i321-1111-1-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−iii−i
χ25222222222222222222-122-1-1-1-1-1-1-1000000002222-1-1-1-1-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ26222222222222222222-122-1-1-1-1-1-1-100000000−1−i3−1+i322-1-1-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-1-1-1-1-1-1−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i321−i321+i321+i321−i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i3200000000000000000000
χ27222222222222222222-122-1-1-1-1-1-1-100000000−1+i3−1−i322-1-1-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-1-1-1-1-1-1−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i321+i321−i321−i321+i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i3200000000000000000000
χ282222-2-2-2-22222-2-2-2-2-2-2-122-1-1-111110000000022-2-211111122222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ292222-2-2-2-22222-2-2-2-2-2-2-122-1-1-1111100000000−1−i3−1+i3-2-2111111−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-1-1-1-1-1-11+i31+i31+i31+i31−i31−i31−i31−i31+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000000000000
χ302222-2-2-2-22222-2-2-2-2-2-2-122-1-1-1111100000000−1+i3−1−i3-2-2111111−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-1-1-1-1-1-11−i31−i31−i31−i31+i31+i31+i31+i31−i321+i321−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000000000000000
χ3122-2-222-2-22-2-2222-2-22-2-12-211-1-1-11100000000222-2-1-1-111122-2-2-2-22-2-1-1-111122-2-222-2-2-1-11111-1-1-1-111-1-11100000000000000000000
χ3222-2-222-2-22-2-2222-2-22-2-12-211-1-1-11100000000−1−i3−1+i32-2-1-1-1111−1−i3−1+i31+i31+i31−i31−i32-2-1-1-1111−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3200000000000000000000
χ3322-2-222-2-22-2-2222-2-22-2-12-211-1-1-11100000000−1+i3−1−i32-2-1-1-1111−1+i3−1−i31−i31−i31+i31+i32-2-1-1-1111−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3200000000000000000000
χ3422-2-2-2-2222-2-22-2-222-22-12-211-111-1-10000000022-22111-1-1-122-2-2-2-22-2-1-1-1111-2-222-2-222-1-11111-1-111-1-111-1-100000000000000000000
χ3522-2-2-2-2222-2-22-2-222-22-12-211-111-1-100000000−1−i3−1+i3-22111-1-1-1−1−i3−1+i31+i31+i31−i31−i32-2-1-1-11111+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i31+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3200000000000000000000
χ3622-2-2-2-2222-2-22-2-222-22-12-211-111-1-100000000−1+i3−1−i3-22111-1-1-1−1+i3−1−i31−i31−i31+i31+i32-2-1-1-11111−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i31−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3200000000000000000000
χ372-22-22i−2i2i−2i22-2-22i−2i2i−2i002002-2-22i−2i2i−2i2-22-22i−2i2i−2i-1-100000000111-11-100000000i−ii−ii−ii−i-1-11-11-111i−ii−ii−ii−i1-11-1i−ii−i1-11-1i−ii−i0000
χ382-22-22i−2i2i−2i22-2-22i−2i2i−2i002002-2-22i−2i2i−2i2-22-22i−2i2i−2i1+i321−i3200000000−1−i32−1+i32−1−i321+i32−1+i321−i3200000000ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ71+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ70000
χ392-22-22i−2i2i−2i22-2-22i−2i2i−2i002002-2-22i−2i2i−2i2-22-22i−2i2i−2i1−i321+i3200000000−1+i32−1−i32−1+i321−i32−1−i321+i3200000000ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ111−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ110000
χ402-22-22i−2i2i−2i22-2-22i−2i2i−2i002002-2-22i−2i2i−2i-22-22−2i2i−2i2i-1-100000000111-11-100000000i−ii−ii−ii−i-1-11-11-111i−ii−ii−ii−i-11-11−ii−ii-11-11−ii−ii0000
χ412-22-22i−2i2i−2i22-2-22i−2i2i−2i002002-2-22i−2i2i−2i-22-22−2i2i−2i2i1+i321−i3200000000−1−i32−1+i32−1−i321+i32−1+i321−i3200000000ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ71+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ71+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ70000
χ422-22-22i−2i2i−2i22-2-22i−2i2i−2i002002-2-22i−2i2i−2i-22-22−2i2i−2i2i1−i321+i3200000000−1+i32−1−i32−1+i321−i32−1−i321+i3200000000ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ111−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ111−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ110000
χ432-22-2−2i2i−2i2i22-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i2-22-2−2i2i−2i2i-1-100000000111-11-100000000−ii−ii−ii−ii-1-11-11-111−ii−ii−ii−ii1-11-1−ii−ii1-11-1−ii−ii0000
χ442-22-2−2i2i−2i2i22-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i2-22-2−2i2i−2i2i1+i321−i3200000000−1−i32−1+i32−1−i321+i32−1+i321−i3200000000−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ71+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ70000
χ452-22-2−2i2i−2i2i22-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i2-22-2−2i2i−2i2i1−i321+i3200000000−1+i32−1−i32−1+i321−i32−1−i321+i3200000000−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ111−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ110000
χ462-22-2−2i2i−2i2i22-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i-22-222i−2i2i−2i-1-100000000111-11-100000000−ii−ii−ii−ii-1-11-11-111−ii−ii−ii−ii-11-11i−ii−i-11-11i−ii−i0000
χ472-22-2−2i2i−2i2i22-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i-22-222i−2i2i−2i1+i321−i3200000000−1−i32−1+i32−1−i321+i32−1+i321−i3200000000−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ71+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ71+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ70000
χ482-22-2−2i2i−2i2i22-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i-22-222i−2i2i−2i1−i321+i3200000000−1+i32−1−i32−1+i321−i32−1−i321+i3200000000−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ111−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ111−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ110000
χ492-2-222i−2i−2i2i2-22-22i−2i−2i2i00200-22-22i−2i−2i2i2i−2i−2i2i-222-2-1-10000000011-11-1100000000i−i−iii−i−ii-1-1-11-1111i−i−iii−i−iii−i−ii-111-1i−i−ii-111-10000
χ502-2-222i−2i−2i2i2-22-22i−2i−2i2i00200-22-22i−2i−2i2i2i−2i−2i2i-222-21+i321−i3200000000−1−i32−1+i321+i32−1−i321−i32−1+i3200000000ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i320000
χ512-2-222i−2i−2i2i2-22-22i−2i−2i2i00200-22-22i−2i−2i2i2i−2i−2i2i-222-21−i321+i3200000000−1+i32−1−i321−i32−1+i321+i32−1−i3200000000ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i320000
χ522-2-222i−2i−2i2i2-22-22i−2i−2i2i00200-22-22i−2i−2i2i−2i2i2i−2i2-2-22-1-10000000011-11-1100000000i−i−iii−i−ii-1-1-11-1111i−i−iii−i−ii−iii−i1-1-11−iii−i1-1-110000
χ532-2-222i−2i−2i2i2-22-22i−2i−2i2i00200-22-22i−2i−2i2i−2i2i2i−2i2-2-221+i321−i3200000000−1−i32−1+i321+i32−1−i321−i32−1+i3200000000ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i320000
χ542-2-222i−2i−2i2i2-22-22i−2i−2i2i00200-22-22i−2i−2i2i−2i2i2i−2i2-2-221−i321+i3200000000−1+i32−1−i321−i32−1+i321+i32−1−i3200000000ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i320000
χ552-2-22−2i2i2i−2i2-22-2−2i2i2i−2i00200-22-2−2i2i2i−2i2i−2i−2i2i2-2-22-1-10000000011-11-1100000000−iii−i−iii−i-1-1-11-1111−iii−i−iii−ii−i−ii1-1-11i−i−ii1-1-110000
χ562-2-22−2i2i2i−2i2-22-2−2i2i2i−2i00200-22-2−2i2i2i−2i2i−2i−2i2i2-2-221+i321−i3200000000−1−i32−1+i321+i32−1−i321−i32−1+i3200000000−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i320000
χ572-2-22−2i2i2i−2i2-22-2−2i2i2i−2i00200-22-2−2i2i2i−2i2i−2i−2i2i2-2-221−i321+i3200000000−1+i32−1−i321−i32−1+i321+i32−1−i3200000000−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ111−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i320000
χ582-2-22−2i2i2i−2i2-22-2−2i2i2i−2i00200-22-2−2i2i2i−2i−2i2i2i−2i-222-2-1-10000000011-11-1100000000−iii−i−iii−i-1-1-11-1111−iii−i−iii−i−iii−i-111-1−iii−i-111-10000
χ592-2-22−2i2i2i−2i2-22-2−2i2i2i−2i00200-22-2−2i2i2i−2i−2i2i2i−2i-222-21+i321−i3200000000−1−i32−1+i321+i32−1−i321−i32−1+i3200000000−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i320000
χ602-2-22−2i2i2i−2i2-22-2−2i2i2i−2i00200-22-2−2i2i2i−2i−2i2i2i−2i-222-21−i321+i3200000000−1+i32−1−i321−i32−1+i321+i32−1−i3200000000−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ111−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i320000
χ613333333333333333-1-13-1-133333333333333300-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-10000000000000000000000000000000000000000-1-1-1-1
χ623333333333333333-1-13-1-13333333-3-3-3-3-3-3-3-300-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000001111
χ633333-3-3-3-33333-3-3-3-3113-1-1333-3-3-3-33333-3-3-3-30011111111000000-1-1-1-1-1-1-1-10000000000000000000000000000000000000000-1-111
χ643333-3-3-3-33333-3-3-3-3113-1-1333-3-3-3-3-3-3-3-333330011111111000000-1-1-1-1-1-1-1-1000000000000000000000000000000000000000011-1-1
χ6533-3-333-3-33-3-3333-3-3-113-11-3-3333-3-33i3i−3i−3i3i3i−3i−3i00-11-1-1-1111000000-11-1-1-11110000000000000000000000000000000000000000−ii−ii
χ6633-3-333-3-33-3-3333-3-3-113-11-3-3333-3-3−3i−3i3i3i−3i−3i3i3i00-11-1-1-1111000000-11-1-1-11110000000000000000000000000000000000000000i−ii−i
χ6733-3-3-3-3333-3-33-3-3331-13-11-3-33-3-3333i3i−3i−3i−3i−3i3i3i001-1111-1-1-1000000-11-1-1-11110000000000000000000000000000000000000000−iii−i
χ6833-3-3-3-3333-3-33-3-3331-13-11-3-33-3-333−3i−3i3i3i3i3i−3i−3i001-1111-1-1-1000000-11-1-1-11110000000000000000000000000000000000000000i−i−ii
χ694-44-44i−4i4i−4i44-4-44i−4i4i−4i00-200-222−2i2i−2i2i00000000-2-200000000222-22-2000000002i−2i2i−2i2i−2i2i−2i11-11-11-1-1−ii−ii−ii−ii00000000000000000000
χ704-44-44i−4i4i−4i44-4-44i−4i4i−4i00-200-222−2i2i−2i2i000000001+i31−i300000000−1−i3−1+i3−1−i31+i3−1+i31−i3000000002ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ7−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ700000000000000000000
χ714-44-44i−4i4i−4i44-4-44i−4i4i−4i00-200-222−2i2i−2i2i000000001−i31+i300000000−1+i3−1−i3−1+i31−i3−1−i31+i3000000002ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ11−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ1100000000000000000000
χ724-44-4−4i4i−4i4i44-4-4−4i4i−4i4i00-200-2222i−2i2i−2i00000000-2-200000000222-22-200000000−2i2i−2i2i−2i2i−2i2i11-11-11-1-1i−ii−ii−ii−i00000000000000000000
χ734-44-4−4i4i−4i4i44-4-4−4i4i−4i4i00-200-2222i−2i2i−2i000000001+i31−i300000000−1−i3−1+i3−1−i31+i3−1+i31−i300000000−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ700000000000000000000
χ744-44-4−4i4i−4i4i44-4-4−4i4i−4i4i00-200-2222i−2i2i−2i000000001−i31+i300000000−1+i3−1−i3−1+i31−i3−1−i31+i300000000−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1100000000000000000000
χ754-4-444i−4i−4i4i4-44-44i−4i−4i4i00-2002-22−2i2i2i−2i00000000-2-20000000022-22-22000000002i−2i−2i2i2i−2i−2i2i111-11-1-1-1−iii−i−iii−i00000000000000000000
χ764-4-444i−4i−4i4i4-44-44i−4i−4i4i00-2002-22−2i2i2i−2i000000001+i31−i300000000−1−i3−1+i31+i3−1−i31−i3−1+i3000000002ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ7−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ700000000000000000000
χ774-4-444i−4i−4i4i4-44-44i−4i−4i4i00-2002-22−2i2i2i−2i000000001−i31+i300000000−1+i3−1−i31−i3−1+i31+i3−1−i3000000002ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ11−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1100000000000000000000
χ784-4-44−4i4i4i−4i4-44-4−4i4i4i−4i00-2002-222i−2i−2i2i00000000-2-20000000022-22-2200000000−2i2i2i−2i−2i2i2i−2i111-11-1-1-1i−i−iii−i−ii00000000000000000000
χ794-4-44−4i4i4i−4i4-44-4−4i4i4i−4i00-2002-222i−2i−2i2i000000001+i31−i300000000−1−i3−1+i31+i3−1−i31−i3−1+i300000000−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ7−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ700000000000000000000
χ804-4-44−4i4i4i−4i4-44-4−4i4i4i−4i00-2002-222i−2i−2i2i000000001−i31+i300000000−1+i3−1−i31−i3−1+i31+i3−1−i300000000−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1100000000000000000000
χ816666666666666666-2-2-3-2-2-3-3-3-3-3-3-30000000000-2-2111111000000-2-211111100000000000000000000000000000000000000000000
χ8266666666-3-3-3-3-3-3-3-36606600000000000000000-3-3000000000000-3-300000000000000000000000000000000000000000000000000
χ8366666666-3-3-3-3-3-3-3-3-2-20-2-200000000000000000114-2-24-2-2000000114-2-24-2-200000000000000000000000000000000000000000000
χ8466666666-3-3-3-3-3-3-3-3-2-20-2-20000000000000000011-24-2-24-200000011-24-2-24-200000000000000000000000000000000000000000000
χ8566666666-3-3-3-3-3-3-3-3-2-20-2-20000000000000000011-2-24-2-2400000011-2-24-2-2400000000000000000000000000000000000000000000
χ866666-6-6-6-66666-6-6-6-622-3-2-2-3-3-33333000000000022-1-1-1-1-1-1000000-2-211111100000000000000000000000000000000000000000000
χ876666-6-6-6-6-3-3-3-33333220-2-200000000000000000-1-122-422-400000011-2-24-2-2400000000000000000000000000000000000000000000
χ886666-6-6-6-6-3-3-3-33333220-2-200000000000000000-1-12-422-4200000011-24-2-24-200000000000000000000000000000000000000000000
χ896666-6-6-6-6-3-3-3-33333220-2-200000000000000000-1-1-422-422000000114-2-24-2-200000000000000000000000000000000000000000000
χ906666-6-6-6-6-3-3-3-33333-6-60660000000000000000033000000000000-3-300000000000000000000000000000000000000000000000000
χ9166-6-666-6-66-6-6666-6-6-22-3-2233-3-3-3330000000000-22111-1-1-1000000-22111-1-1-100000000000000000000000000000000000000000000
χ9266-6-666-6-6-333-3-3-3336-606-600000000000000000-33000000000000-3300000000000000000000000000000000000000000000000000
χ9366-6-666-6-6-333-3-3-333-220-22000000000000000001-14-2-2-4220000001-14-2-2-42200000000000000000000000000000000000000000000
χ9466-6-666-6-6-333-3-3-333-220-22000000000000000001-1-24-22-420000001-1-24-22-4200000000000000000000000000000000000000000000
χ9566-6-666-6-6-333-3-3-333-220-22000000000000000001-1-2-2422-40000001-1-2-2422-400000000000000000000000000000000000000000000
χ9666-6-6-6-6666-6-66-6-6662-2-3-2233-333-3-300000000002-2-1-1-1111000000-22111-1-1-100000000000000000000000000000000000000000000
χ9766-6-6-6-666-333-333-3-32-20-2200000000000000000-1122-4-2-240000001-1-2-2422-400000000000000000000000000000000000000000000
χ9866-6-6-6-666-333-333-3-32-20-2200000000000000000-112-42-24-20000001-1-24-22-4200000000000000000000000000000000000000000000
χ9966-6-6-6-666-333-333-3-32-20-2200000000000000000-11-4224-2-20000001-14-2-2-42200000000000000000000000000000000000000000000
χ10066-6-6-6-666-333-333-3-3-6606-6000000000000000003-3000000000000-3300000000000000000000000000000000000000000000000000
χ10112-1212-1212i−12i12i−12i-6-666−6i6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-12−12i12i−12i12i-6-6666i−6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-121212i−12i−12i12i-66-66−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212−12i12i12i−12i-66-666i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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