Finite Group Databasebeta

← Group #11923217

Character table — Group #11923217

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444444444666666668888888888881212121212121212121212121616161616161616161616161616161624242424242424243636363648484848
order1222223666334466666666121212124444444433666666666624441212121212121212666612121212121212121212121212121212121212122224661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111111111-111-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111-1-111111111-1-1-1-11111-1-1-1-11111111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−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+i321111−1−i32−1+i32−1−i32−1+i32
χ61111111111−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-111111111−1−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−i32-1-1-1-11+i321−i321+i321−i32
χ71111111111−1−i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11111−1−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−i32−1+i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i32
χ81111111111−1−i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111−1−i32−1+i32−1−i32−1+i32
χ91111111111−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+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−i321111−1+i32−1−i32−1+i32−1−i32
χ101111111111−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-111111111−1+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+i32-1-1-1-11−i321+i321−i321+i32
χ111111111111−1+i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11111−1+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+i32−1−i32−1−i32−1−i32−1−i3211-1-11−i321+i321−i321+i32
χ121111111111−1+i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111−1+i32−1−i32−1+i32−1−i32
χ131111-1-11111111-1-1-111111111-1-111-1-111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-11-1-1111-1-1
χ141111-1-11111111-1-1-111111111-1-111-1-1-1-11111-1-1-1-1111111-11-1111-1-111-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-111-111-1-1-111
χ151111-1-1111111-11-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-11-11-1-111-1-11111-1-111-1-11-11-1-1-111
χ161111-1-1111111-11-1-1111111-1-11111-1-1-1-11111-1-1-1-11111111-11-1-1-11111-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-111-11-1111-1-1
χ171111-1-11111−1−i32−1+i321-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-111-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-111-1-11+i321+i321−i321−i32−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i32
χ181111-1-11111−1−i32−1+i321-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-111-1-1-1-111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1111-1-111-1-11+i321+i321−i321−i32−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1+i32
χ191111-1-11111−1−i32−1+i32-11-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11111-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-11111-1-11+i321+i321−i321−i321+i32−1−i321−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−i321-11-11+i321−i32−1−i32−1+i32
χ201111-1-11111−1−i32−1+i32-11-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11111-1-1-1-111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1-1-11111-1-11+i321+i321−i321−i321+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-11−1−i32−1+i321+i321−i32
χ211111-1-11111−1+i32−1−i321-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-111-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-111-1-11−i321−i321+i321+i32−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i32
χ221111-1-11111−1+i32−1−i321-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-111-1-1-1-111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1111-1-111-1-11−i321−i321+i321+i32−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1−i32
χ231111-1-11111−1+i32−1−i32-11-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11111-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-11111-1-11−i321−i321+i321+i321−i32−1+i321+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+i321-11-11−i321+i32−1+i32−1−i32
χ241111-1-11111−1+i32−1−i32-11-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11111-1-1-1-111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1-1-11111-1-11−i321−i321+i321+i321−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-11−1+i32−1−i321−i321+i32
χ25222222-1-1-1-12222-1-1222222-1-1-1-122220000-1-12222-1-1-1-1-1-10220-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ26222222-1-1-1-122-2-2-1-1222222111122220000-1-12222-1-1-1-1-1-10-2-201111-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ27222222-1-1-1-1−1−i3−1+i322-1-1−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-1-1-1222200001+i321−i32−1−i3−1−i3−1+i3−1+i31+i321−i321+i321+i321−i321−i320220-1-1-1-1-1-1-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i320000000000000000
χ28222222-1-1-1-1−1−i3−1+i3-2-2-1-1−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31111222200001+i321−i32−1−i3−1−i3−1+i3−1+i31+i321−i321+i321+i321−i321−i320-2-201111-1-1-1-11+i321+i321−i321−i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000000000
χ29222222-1-1-1-1−1+i3−1−i322-1-1−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-1-1-1222200001−i321+i32−1+i3−1+i3−1−i3−1−i31−i321+i321−i321−i321+i321+i320220-1-1-1-1-1-1-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i320000000000000000
χ30222222-1-1-1-1−1+i3−1−i3-2-2-1-1−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31111222200001−i321+i32−1+i3−1+i3−1−i3−1−i31−i321+i321−i321−i321+i321+i320-2-201111-1-1-1-11−i321−i321+i321+i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000000000
χ312222-2-2-1-1-1-1222-211222222-1-11122-2-20000-1-1-2-2-2-2-1-1-1-1-1-102-20-1-111-1-11111112-22-2-1-111-1-1110000000000000000
χ322222-2-2-1-1-1-122-221122222211-1-122-2-20000-1-1-2-2-2-2-1-1-1-1-1-10-22011-1-1-1-1111111-22-2211-1-111-1-10000000000000000
χ332222-2-2-1-1-1-1−1−i3−1+i32-211−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-11122-2-200001+i321−i321+i31+i31−i31−i31+i321−i321+i321+i321−i321−i3202-20-1-111-1-111−1−i32−1−i32−1+i32−1+i32−1−i31+i3−1+i31−i31+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i320000000000000000
χ342222-2-2-1-1-1-1−1−i3−1+i3-2211−1−i3−1−i3−1+i3−1+i3−1−i3−1+i311-1-122-2-200001+i321−i321+i31+i31−i31−i31+i321−i321+i321+i321−i321−i320-22011-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i3−1−i31−i3−1+i3−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i320000000000000000
χ352222-2-2-1-1-1-1−1+i3−1−i32-211−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-11122-2-200001−i321+i321−i31−i31+i31+i31−i321+i321−i321−i321+i321+i3202-20-1-111-1-111−1+i32−1+i32−1−i32−1−i32−1+i31−i3−1−i31+i31−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i320000000000000000
χ362222-2-2-1-1-1-1−1+i3−1−i3-2211−1+i3−1+i3−1−i3−1−i3−1+i3−1−i311-1-122-2-200001−i321+i321−i31−i31+i31+i31−i321+i321−i321−i321+i321+i320-22011-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i3−1+i31+i3−1−i3−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i320000000000000000
χ372-2-222-22-2-2222002-2-2-2-2-22200002-22-20000222-22-222-2-2-2-2000000002-22-22-22-20000000000000000000000000000
χ382-2-222-22-2-22−1−i3−1+i3002-21+i31+i31−i31−i3−1−i3−1+i300002-22-20000−1−i3−1+i3−1−i31+i3−1+i31−i3−1−i3−1+i31+i31+i31−i31−i3000000002-22-2−1−i31+i3−1+i31−i30000000000000000000000000000
χ392-2-222-22-2-22−1+i3−1−i3002-21−i31−i31+i31+i3−1+i3−1−i300002-22-20000−1+i3−1−i3−1+i31−i3−1−i31+i3−1+i3−1−i31−i31−i31+i31+i3000000002-22-2−1+i31−i3−1−i31+i30000000000000000000000000000
χ402-2-222-2-111-12200-11-2-2-2-2223−33−32-22-20000-1-12-22-2-1-1111100003−33−3-11-11-11-1100003−33−33−33−30000000000000000
χ412-2-222-2-111-12200-11-2-2-2-222−33−332-22-20000-1-12-22-2-1-111110000−33−33-11-11-11-110000−33−33−33−330000000000000000
χ422-2-222-2-111-1−1−i3−1+i300-111+i31+i31−i31−i3−1−i3−1+i33−33−32-22-200001+i321−i32−1−i31+i3−1+i31−i31+i321−i32−1−i32−1−i32−1+i32−1+i3200003−33−3-11-111+i32−1−i321−i32−1+i3200002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000000000000000
χ432-2-222-2-111-1−1−i3−1+i300-111+i31+i31−i31−i3−1−i3−1+i3−33−332-22-200001+i321−i32−1−i31+i3−1+i31−i31+i321−i32−1−i32−1−i32−1+i32−1+i320000−33−33-11-111+i32−1−i321−i32−1+i320000−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000000000000000
χ442-2-222-2-111-1−1+i3−1−i300-111−i31−i31+i31+i3−1+i3−1−i33−33−32-22-200001−i321+i32−1+i31−i3−1−i31+i31−i321+i32−1+i32−1+i32−1−i32−1−i3200003−33−3-11-111−i32−1+i321+i32−1−i320000−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000000000000000
χ452-2-222-2-111-1−1+i3−1−i300-111−i31−i31+i31+i3−1+i3−1−i3−33−332-22-200001−i321+i32−1+i31−i3−1−i31+i31−i321+i32−1+i32−1+i32−1−i32−1−i320000−33−33-11-111−i32−1+i321+i32−1−i320000ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000000000000000
χ462-2-22-222-2-222200-22-2-2-2-22200002-2-22000022-22-2222-2-2-2-2000000002-2-22-22-220000000000000000000000000000
χ472-2-22-222-2-22−1−i3−1+i300-221+i31+i31−i31−i3−1−i3−1+i300002-2-220000−1−i3−1+i31+i3−1−i31−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3000000002-2-221+i3−1−i31−i3−1+i30000000000000000000000000000
χ482-2-22-222-2-22−1+i3−1−i300-221−i31−i31+i31+i3−1+i3−1−i300002-2-220000−1+i3−1−i31−i3−1+i31+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3000000002-2-221−i3−1+i31+i3−1−i30000000000000000000000000000
χ492-2-22-22-111-122001-1-2-2-2-2223−3−332-2-220000-1-1-22-22-1-1111100003−3−33-111-11-11-100003−3−333−3−330000000000000000
χ502-2-22-22-111-122001-1-2-2-2-222−333−32-2-220000-1-1-22-22-1-111110000−333−3-111-11-11-10000−333−3−333−30000000000000000
χ512-2-22-22-111-1−1−i3−1+i3001-11+i31+i31−i31−i3−1−i3−1+i33−3−332-2-2200001+i321−i321+i3−1−i31−i3−1+i31+i321−i32−1−i32−1−i32−1+i32−1+i3200003−3−33-111-1−1−i321+i32−1+i321−i3200002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000000000000000
χ522-2-22-22-111-1−1−i3−1+i3001-11+i31+i31−i31−i3−1−i3−1+i3−333−32-2-2200001+i321−i321+i3−1−i31−i3−1+i31+i321−i32−1−i32−1−i32−1+i32−1+i320000−333−3-111-1−1−i321+i32−1+i321−i320000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000000000000000
χ532-2-22-22-111-1−1+i3−1−i3001-11−i31−i31+i31+i3−1+i3−1−i33−3−332-2-2200001−i321+i321−i3−1+i31+i3−1−i31−i321+i32−1+i32−1+i32−1−i32−1−i3200003−3−33-111-1−1+i321−i32−1−i321+i320000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000000000000000
χ542-2-22-22-111-1−1+i3−1−i3001-11−i31−i31+i31+i3−1+i3−1−i3−333−32-2-2200001−i321+i321−i3−1+i31+i3−1−i31−i321+i32−1+i32−1+i32−1−i32−1−i320000−333−3-111-1−1+i321−i32−1−i321+i320000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000000000000000
χ5533333333330033330000003333-1-1-1-133330000000000003-1-13-1-1-1-1-1-1-1-1000000000000000000000000-1-1-1-10000
χ5633333333330033330000003333-1-1-1-1-3-3-3-3000000000000-3-1-1-3-1-1-1-1-1-1-1-100000000000000000000000011110000
χ57333333333300-3-333000000-3-3-3-3-1-1-1-13333000000000000-311-31111-1-1-1-1000000000000000000000000-1-1110000
χ58333333333300-3-333000000-3-3-3-3-1-1-1-1-3-3-3-300000000000031131111-1-1-1-100000000000000000000000011-1-10000
χ593333-3-33333003-3-3-300000033-3-3-1-11133-3-30000000000003-11-3-1-111-1-111000000000000000000000000-111-10000
χ603333-3-33333003-3-3-300000033-3-3-1-111-3-333000000000000-3-113-1-111-1-1110000000000000000000000001-1-110000
χ613333-3-3333300-33-3-3000000-3-333-1-11133-3-3000000000000-31-1311-1-1-1-111000000000000000000000000-11-110000
χ623333-3-3333300-33-3-3000000-3-333-1-111-3-33300000000000031-1-311-1-1-1-1110000000000000000000000001-11-10000
χ6344-4-40044-4-4-2-200002-22-22200000000004i−4i-2-20000222-22-20000000000000000000000000000002i−2i002i−2i00000000
χ6444-4-40044-4-4-2-200002-22-2220000000000−4i4i-2-20000222-22-2000000000000000000000000000000−2i2i00−2i2i00000000
χ6544-4-40044-4-41+i31−i30000−1−i31+i3−1+i31−i3−1−i3−1+i300000000004i−4i1+i31−i30000−1−i3−1+i3−1−i31+i3−1+i31−i30000000000000000000000000000002ζ11−2ζ11002ζ7−2ζ700000000
χ6644-4-40044-4-41+i31−i30000−1−i31+i3−1+i31−i3−1−i3−1+i30000000000−4i4i1+i31−i30000−1−i3−1+i3−1−i31+i3−1+i31−i3000000000000000000000000000000−2ζ112ζ1100−2ζ72ζ700000000
χ6744-4-40044-4-41−i31+i30000−1+i31−i3−1−i31+i3−1+i3−1−i300000000004i−4i1−i31+i30000−1+i3−1−i3−1+i31−i3−1−i31+i30000000000000000000000000000002ζ7−2ζ7002ζ11−2ζ1100000000
χ6844-4-40044-4-41−i31+i30000−1+i31−i3−1−i31+i3−1+i3−1−i30000000000−4i4i1−i31+i30000−1+i3−1−i3−1+i31−i3−1−i31+i3000000000000000000000000000000−2ζ72ζ700−2ζ112ζ1100000000
χ694-44-4004-44-4-2-20000-22-2222000000004i−4i00-2-2000022-22-2200000000000000000000000000002i−2i002i−2i0000000000
χ704-44-4004-44-4-2-20000-22-222200000000−4i4i00-2-2000022-22-220000000000000000000000000000−2i2i00−2i2i0000000000
χ714-44-4004-44-41+i31−i300001+i3−1−i31−i3−1+i3−1−i3−1+i3000000004i−4i001+i31−i30000−1−i3−1+i31+i3−1−i31−i3−1+i300000000000000000000000000002ζ11−2ζ11002ζ7−2ζ70000000000
χ724-44-4004-44-41+i31−i300001+i3−1−i31−i3−1+i3−1−i3−1+i300000000−4i4i001+i31−i30000−1−i3−1+i31+i3−1−i31−i3−1+i30000000000000000000000000000−2ζ112ζ1100−2ζ72ζ70000000000
χ734-44-4004-44-41−i31+i300001−i3−1+i31+i3−1−i3−1+i3−1−i3000000004i−4i001−i31+i30000−1+i3−1−i31−i3−1+i31+i3−1−i300000000000000000000000000002ζ7−2ζ7002ζ11−2ζ110000000000
χ744-44-4004-44-41−i31+i300001−i3−1+i31+i3−1−i3−1+i3−1−i300000000−4i4i001−i31+i30000−1+i3−1−i31−i3−1+i31+i3−1−i30000000000000000000000000000−2ζ72ζ700−2ζ112ζ110000000000
χ75666666-3-3-3-30066-3-3000000-3-3-3-3-2-2-2-200000000000000000-2-201111111100000000000000000000000000000000
χ76666666-3-3-3-300-6-6-3-30000003333-2-2-2-200000000000000000220-1-1-1-1111100000000000000000000000000000000
χ776666-6-6-3-3-3-3006-633000000-3-333-2-22200000000000000000-22011-1-111-1-100000000000000000000000000000000
χ786666-6-6-3-3-3-300-663300000033-3-3-2-222000000000000000002-20-1-11111-1-100000000000000000000000000000000
χ796-6-666-66-6-6600006-60000000000-22-22000000000000000000000000-22-2200000000000000000000000000000000
χ806-6-666-6-333-30000-3300000033−3333−33-22-2200000000000000000000−33−331-11-100000000000000000000000000000000
χ816-6-666-6-333-30000-33000000−3333−3333-22-22000000000000000000003−33−31-11-100000000000000000000000000000000
χ826-6-66-666-6-660000-660000000000-222-2000000000000000000000000-222-200000000000000000000000000000000
χ836-6-66-66-333-300003-300000033−33−3333-222-200000000000000000000−333−31-1-1100000000000000000000000000000000
χ846-6-66-66-333-300003-3000000−333333−33-222-2000000000000000000003−3−331-1-1100000000000000000000000000000000
χ8588-8-800-4-444-4-400004-44-444000000000000220000-2-2-22-2200000000000000000000000000000000000000000000
χ8688-8-800-4-4442+2i32−2i30000−2−2i32+2i3−2+2i32−2i3−2−2i3−2+2i3000000000000−1−i3−1+i300001+i31−i31+i3−1−i31−i3−1+i300000000000000000000000000000000000000000000
χ8788-8-800-4-4442−2i32+2i30000−2+2i32−2i3−2−2i32+2i3−2+2i3−2−2i3000000000000−1+i3−1−i300001−i31+i31−i3−1+i31+i3−1−i300000000000000000000000000000000000000000000
χ888-88-800-44-44-4-40000-44-4444000000000000220000-2-22-22-200000000000000000000000000000000000000000000
χ898-88-800-44-442+2i32−2i300002+2i3−2−2i32−2i3−2+2i3−2−2i3−2+2i3000000000000−1−i3−1+i300001+i31−i3−1−i31+i3−1+i31−i300000000000000000000000000000000000000000000
χ908-88-800-44-442−2i32+2i300002−2i3−2+2i32+2i3−2−2i3−2+2i3−2−2i3000000000000−1+i3−1−i300001−i31+i3−1+i31−i3−1−i31+i300000000000000000000000000000000000000000000

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