Finite Group Databasebeta

← Group #88686

Character table — Group #88686

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11133333333333121212121212111333333333331212121212121113333333333312121212121211133333333333121212121212
order13323366666666333333412124121212121212121212121212121212122662666666666666666641212412121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ311111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ51111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i321111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i321111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i321111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ61111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i3211111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i3211111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i3211111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ71111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ81111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i3211111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i3211111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i3211111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ91111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ10333-133-1-1-1-1-1-1-1-1000000333-133-1-1-1-1-1-1-1-1000000333-133-1-1-1-1-1-1-1-1000000333-133-1-1-1-1-1-1-1-1000000
χ11333-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000333-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000333-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000333-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000
χ12333-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000333-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000333-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000333-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000
χ133−3+3i32−3−3i32300−3+3i32−3−3i320000000000003−3+3i32−3−3i32300−3+3i32−3−3i320000000000003−3+3i32−3−3i32300−3+3i32−3−3i320000000000003−3+3i32−3−3i32300−3+3i32−3−3i32000000000000
χ143−3+3i32−3−3i32-1001−i321+i322−1+i3−1−i32−1+i3−1−i30000003−3+3i32−3−3i32-1001−i321+i322−1+i3−1−i32−1+i3−1−i30000003−3+3i32−3−3i32-1001−i321+i322−1+i3−1−i32−1+i3−1−i30000003−3+3i32−3−3i32-1001−i321+i322−1+i3−1−i32−1+i3−1−i3000000
χ153−3+3i32−3−3i32-1001−i321+i32−1+i3−1−i32−1−i32−1+i30000003−3+3i32−3−3i32-1001−i321+i32−1+i3−1−i32−1−i32−1+i30000003−3+3i32−3−3i32-1001−i321+i32−1+i3−1−i32−1−i32−1+i30000003−3+3i32−3−3i32-1001−i321+i32−1+i3−1−i32−1−i32−1+i3000000
χ163−3+3i32−3−3i32-1001−i321+i32−1−i32−1+i3−1+i3−1−i320000003−3+3i32−3−3i32-1001−i321+i32−1−i32−1+i3−1+i3−1−i320000003−3+3i32−3−3i32-1001−i321+i32−1−i32−1+i3−1+i3−1−i320000003−3+3i32−3−3i32-1001−i321+i32−1−i32−1+i3−1+i3−1−i32000000
χ173−3−3i32−3+3i32300−3−3i32−3+3i320000000000003−3−3i32−3+3i32300−3−3i32−3+3i320000000000003−3−3i32−3+3i32300−3−3i32−3+3i320000000000003−3−3i32−3+3i32300−3−3i32−3+3i32000000000000
χ183−3−3i32−3+3i32-1001+i321−i322−1−i3−1+i32−1−i3−1+i30000003−3−3i32−3+3i32-1001+i321−i322−1−i3−1+i32−1−i3−1+i30000003−3−3i32−3+3i32-1001+i321−i322−1−i3−1+i32−1−i3−1+i30000003−3−3i32−3+3i32-1001+i321−i322−1−i3−1+i32−1−i3−1+i3000000
χ193−3−3i32−3+3i32-1001+i321−i32−1+i32−1−i3−1−i3−1+i320000003−3−3i32−3+3i32-1001+i321−i32−1+i32−1−i3−1−i3−1+i320000003−3−3i32−3+3i32-1001+i321−i32−1+i32−1−i3−1−i3−1+i320000003−3−3i32−3+3i32-1001+i321−i32−1+i32−1−i3−1−i3−1+i32000000
χ203−3−3i32−3+3i32-1001+i321−i32−1−i3−1+i32−1+i32−1−i30000003−3−3i32−3+3i32-1001+i321−i32−1−i3−1+i32−1+i32−1−i30000003−3−3i32−3+3i32-1001+i321−i32−1−i3−1+i32−1+i32−1−i30000003−3−3i32−3+3i32-1001+i321−i32−1−i3−1+i32−1+i32−1−i3000000
χ2111111111111111111111iiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ2211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32iiiiiiiiiiiiiiζ7ζ7ζ7ζ11ζ11ζ11-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11
χ2311111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32iiiiiiiiiiiiiiζ11ζ11ζ11ζ7ζ7ζ7-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7
χ241111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32iiiiζ7ζ11iiζ7ζ7ζ7ζ11ζ11ζ11iζ7ζ11iζ7ζ11-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-11−i321+i32−i−i−i−i−ζ7−ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−i−ζ7−ζ11−i−ζ7−ζ11
χ251111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32iiiiζ7ζ11iiζ7ζ7ζ7ζ11ζ11ζ11ζ7ζ11iζ11iζ7-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321−i321+i32-11+i32-11−i32−i−i−i−i−ζ7−ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−ζ7−ζ11−i−ζ11−i−ζ7
χ261111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321iiiiζ7ζ11iiζ7ζ7ζ7ζ11ζ11ζ11ζ11iζ7ζ7ζ11i-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321+i32-11−i321−i321+i32-1−i−i−i−i−ζ7−ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−ζ11−i−ζ7−ζ7−ζ11−i
χ271111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32iiiiζ11ζ7iiζ11ζ11ζ11ζ7ζ7ζ7iζ11ζ7iζ11ζ7-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-11+i321−i32−i−i−i−i−ζ11−ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−i−ζ11−ζ7−i−ζ11−ζ7
χ281111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321iiiiζ11ζ7iiζ11ζ11ζ11ζ7ζ7ζ7ζ7iζ11ζ11ζ7i-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321−i32-11+i321+i321−i32-1−i−i−i−i−ζ11−ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−ζ7−i−ζ11−ζ11−ζ7−i
χ291111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32iiiiζ11ζ7iiζ11ζ11ζ11ζ7ζ7ζ7ζ11ζ7iζ7iζ11-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321+i321−i32-11−i32-11+i32−i−i−i−i−ζ11−ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−ζ11−ζ7−i−ζ7−i−ζ11
χ30333-133-1-1-1-1-1-1-1-10000003i3i3i−i3i3i−i−i−i−i−i−i−i−i000000-3-3-31-3-311111111000000−3i−3i−3ii−3i−3iiiiiiiii000000
χ31333-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i320000003i3i3i−i3ζ73ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11000000-3-3-313−3i323+3i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000−3i−3i−3ii−3ζ7−3ζ11iiζ7ζ7ζ7ζ11ζ11ζ11000000
χ32333-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i320000003i3i3i−i3ζ113ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7000000-3-3-313+3i323−3i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000−3i−3i−3ii−3ζ11−3ζ7iiζ11ζ11ζ11ζ7ζ7ζ7000000
χ333−3+3i32−3−3i32300−3+3i32−3−3i320000000000003i3ζ73ζ113i003ζ73ζ11000000000000-33−3i323+3i32-3003−3i323+3i32000000000000−3i−3ζ7−3ζ11−3i00−3ζ7−3ζ11000000000000
χ343−3+3i32−3−3i32-1001−i321+i322−1+i3−1−i32−1+i3−1−i30000003i3ζ73ζ11−i00−ζ7−ζ112i2ζ72ζ112i2ζ72ζ11000000-33−3i323+3i32100−1+i32−1−i32-21−i31+i3-21−i31+i3000000−3i−3ζ7−3ζ11i00ζ7ζ11−2i−2ζ7−2ζ11−2i−2ζ7−2ζ11000000
χ353−3+3i32−3−3i32-1001−i321+i32−1+i3−1−i32−1−i32−1+i30000003i3ζ73ζ11−i00−ζ7−ζ112ζ72ζ112i2ζ112i2ζ7000000-33−3i323+3i32100−1+i32−1−i321−i31+i3-21+i3-21−i3000000−3i−3ζ7−3ζ11i00ζ7ζ11−2ζ7−2ζ11−2i−2ζ11−2i−2ζ7000000
χ363−3+3i32−3−3i32-1001−i321+i32−1−i32−1+i3−1+i3−1−i320000003i3ζ73ζ11−i00−ζ7−ζ112ζ112i2ζ72ζ72ζ112i000000-33−3i323+3i32100−1+i32−1−i321+i3-21−i31−i31+i3-2000000−3i−3ζ7−3ζ11i00ζ7ζ11−2ζ11−2i−2ζ7−2ζ7−2ζ11−2i000000
χ373−3−3i32−3+3i32300−3−3i32−3+3i320000000000003i3ζ113ζ73i003ζ113ζ7000000000000-33+3i323−3i32-3003+3i323−3i32000000000000−3i−3ζ11−3ζ7−3i00−3ζ11−3ζ7000000000000
χ383−3−3i32−3+3i32-1001+i321−i322−1−i3−1+i32−1−i3−1+i30000003i3ζ113ζ7−i00−ζ11−ζ72i2ζ112ζ72i2ζ112ζ7000000-33+3i323−3i32100−1−i32−1+i32-21+i31−i3-21+i31−i3000000−3i−3ζ11−3ζ7i00ζ11ζ7−2i−2ζ11−2ζ7−2i−2ζ11−2ζ7000000
χ393−3−3i32−3+3i32-1001+i321−i32−1+i32−1−i3−1−i3−1+i320000003i3ζ113ζ7−i00−ζ11−ζ72ζ72i2ζ112ζ112ζ72i000000-33+3i323−3i32100−1−i32−1+i321−i3-21+i31+i31−i3-2000000−3i−3ζ11−3ζ7i00ζ11ζ7−2ζ7−2i−2ζ11−2ζ11−2ζ7−2i000000
χ403−3−3i32−3+3i32-1001+i321−i32−1−i3−1+i32−1+i32−1−i30000003i3ζ113ζ7−i00−ζ11−ζ72ζ112ζ72i2ζ72i2ζ11000000-33+3i323−3i32100−1−i32−1+i321+i31−i3-21−i3-21+i3000000−3i−3ζ11−3ζ7i00ζ11ζ7−2ζ11−2ζ7−2i−2ζ7−2i−2ζ11000000
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i3211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ4311111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i3211111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ441111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-11−i321+i321111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-11−i321+i32
χ451111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321−i321+i32-11+i32-11−i321111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321−i321+i32-11+i32-11−i32
χ461111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321+i32-11−i321−i321+i32-11111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321+i32-11−i321−i321+i32-1
χ471111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-11+i321−i321111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-11+i321−i32
χ481111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321−i32-11+i321+i321−i32-11111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321−i32-11+i321+i321−i32-1
χ491111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321+i321−i32-11−i32-11+i321111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321+i321−i32-11−i32-11+i32
χ50333-133-1-1-1-1-1-1-1-1000000-3-3-31-3-311111111000000333-133-1-1-1-1-1-1-1-1000000-3-3-31-3-311111111000000
χ51333-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000-3-3-313−3i323+3i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000333-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000-3-3-313−3i323+3i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000
χ52333-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000-3-3-313+3i323−3i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000333-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000-3-3-313+3i323−3i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000
χ533−3+3i32−3−3i32300−3+3i32−3−3i32000000000000-33−3i323+3i32-3003−3i323+3i320000000000003−3+3i32−3−3i32300−3+3i32−3−3i32000000000000-33−3i323+3i32-3003−3i323+3i32000000000000
χ543−3+3i32−3−3i32-1001−i321+i322−1+i3−1−i32−1+i3−1−i3000000-33−3i323+3i32100−1+i32−1−i32-21−i31+i3-21−i31+i30000003−3+3i32−3−3i32-1001−i321+i322−1+i3−1−i32−1+i3−1−i3000000-33−3i323+3i32100−1+i32−1−i32-21−i31+i3-21−i31+i3000000
χ553−3+3i32−3−3i32-1001−i321+i32−1+i3−1−i32−1−i32−1+i3000000-33−3i323+3i32100−1+i32−1−i321−i31+i3-21+i3-21−i30000003−3+3i32−3−3i32-1001−i321+i32−1+i3−1−i32−1−i32−1+i3000000-33−3i323+3i32100−1+i32−1−i321−i31+i3-21+i3-21−i3000000
χ563−3+3i32−3−3i32-1001−i321+i32−1−i32−1+i3−1+i3−1−i32000000-33−3i323+3i32100−1+i32−1−i321+i3-21−i31−i31+i3-20000003−3+3i32−3−3i32-1001−i321+i32−1−i32−1+i3−1+i3−1−i32000000-33−3i323+3i32100−1+i32−1−i321+i3-21−i31−i31+i3-2000000
χ573−3−3i32−3+3i32300−3−3i32−3+3i32000000000000-33+3i323−3i32-3003+3i323−3i320000000000003−3−3i32−3+3i32300−3−3i32−3+3i32000000000000-33+3i323−3i32-3003+3i323−3i32000000000000
χ583−3−3i32−3+3i32-1001+i321−i322−1−i3−1+i32−1−i3−1+i3000000-33+3i323−3i32100−1−i32−1+i32-21+i31−i3-21+i31−i30000003−3−3i32−3+3i32-1001+i321−i322−1−i3−1+i32−1−i3−1+i3000000-33+3i323−3i32100−1−i32−1+i32-21+i31−i3-21+i31−i3000000
χ593−3−3i32−3+3i32-1001+i321−i32−1+i32−1−i3−1−i3−1+i32000000-33+3i323−3i32100−1−i32−1+i321−i3-21+i31+i31−i3-20000003−3−3i32−3+3i32-1001+i321−i32−1+i32−1−i3−1−i3−1+i32000000-33+3i323−3i32100−1−i32−1+i321−i3-21+i31+i31−i3-2000000
χ603−3−3i32−3+3i32-1001+i321−i32−1−i3−1+i32−1+i32−1−i3000000-33+3i323−3i32100−1−i32−1+i321+i31−i3-21−i3-21+i30000003−3−3i32−3+3i32-1001+i321−i32−1−i3−1+i32−1+i32−1−i3000000-33+3i323−3i32100−1−i32−1+i321+i31−i3-21−i3-21+i3000000
χ6111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii
χ6211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32iiiiiiiiiiiiiiζ7ζ7ζ7ζ11ζ11ζ11
χ6311111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32iiiiiiiiiiiiiiζ11ζ11ζ11ζ7ζ7ζ7
χ641111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−i−i−i−i−ζ7−ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−i−ζ7−ζ11−i−ζ7−ζ11-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-11−i321+i32iiiiζ7ζ11iiζ7ζ7ζ7ζ11ζ11ζ11iζ7ζ11iζ7ζ11
χ651111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−i−i−i−i−ζ7−ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−ζ7−ζ11−i−ζ11−i−ζ7-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321−i321+i32-11+i32-11−i32iiiiζ7ζ11iiζ7ζ7ζ7ζ11ζ11ζ11ζ7ζ11iζ11iζ7
χ661111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−i−i−i−i−ζ7−ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−ζ11−i−ζ7−ζ7−ζ11−i-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321+i32-11−i321−i321+i32-1iiiiζ7ζ11iiζ7ζ7ζ7ζ11ζ11ζ11ζ11iζ7ζ7ζ11i
χ671111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−i−i−i−i−ζ11−ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−i−ζ11−ζ7−i−ζ11−ζ7-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-11+i321−i32iiiiζ11ζ7iiζ11ζ11ζ11ζ7ζ7ζ7iζ11ζ7iζ11ζ7
χ681111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−i−i−i−i−ζ11−ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−ζ7−i−ζ11−ζ11−ζ7−i-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321−i32-11+i321+i321−i32-1iiiiζ11ζ7iiζ11ζ11ζ11ζ7ζ7ζ7ζ7iζ11ζ11ζ7i
χ691111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−i−i−i−i−ζ11−ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−ζ11−ζ7−i−ζ7−i−ζ11-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321+i321−i32-11−i32-11+i32iiiiζ11ζ7iiζ11ζ11ζ11ζ7ζ7ζ7ζ11ζ7iζ7iζ11
χ70333-133-1-1-1-1-1-1-1-1000000−3i−3i−3ii−3i−3iiiiiiiii000000-3-3-31-3-3111111110000003i3i3i−i3i3i−i−i−i−i−i−i−i−i000000
χ71333-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000−3i−3i−3ii−3ζ7−3ζ11iiζ7ζ7ζ7ζ11ζ11ζ11000000-3-3-313−3i323+3i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320000003i3i3i−i3ζ73ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11000000
χ72333-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000−3i−3i−3ii−3ζ11−3ζ7iiζ11ζ11ζ11ζ7ζ7ζ7000000-3-3-313+3i323−3i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000003i3i3i−i3ζ113ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7000000
χ733−3+3i32−3−3i32300−3+3i32−3−3i32000000000000−3i−3ζ7−3ζ11−3i00−3ζ7−3ζ11000000000000-33−3i323+3i32-3003−3i323+3i320000000000003i3ζ73ζ113i003ζ73ζ11000000000000
χ743−3+3i32−3−3i32-1001−i321+i322−1+i3−1−i32−1+i3−1−i3000000−3i−3ζ7−3ζ11i00ζ7ζ11−2i−2ζ7−2ζ11−2i−2ζ7−2ζ11000000-33−3i323+3i32100−1+i32−1−i32-21−i31+i3-21−i31+i30000003i3ζ73ζ11−i00−ζ7−ζ112i2ζ72ζ112i2ζ72ζ11000000
χ753−3+3i32−3−3i32-1001−i321+i32−1+i3−1−i32−1−i32−1+i3000000−3i−3ζ7−3ζ11i00ζ7ζ11−2ζ7−2ζ11−2i−2ζ11−2i−2ζ7000000-33−3i323+3i32100−1+i32−1−i321−i31+i3-21+i3-21−i30000003i3ζ73ζ11−i00−ζ7−ζ112ζ72ζ112i2ζ112i2ζ7000000
χ763−3+3i32−3−3i32-1001−i321+i32−1−i32−1+i3−1+i3−1−i32000000−3i−3ζ7−3ζ11i00ζ7ζ11−2ζ11−2i−2ζ7−2ζ7−2ζ11−2i000000-33−3i323+3i32100−1+i32−1−i321+i3-21−i31−i31+i3-20000003i3ζ73ζ11−i00−ζ7−ζ112ζ112i2ζ72ζ72ζ112i000000
χ773−3−3i32−3+3i32300−3−3i32−3+3i32000000000000−3i−3ζ11−3ζ7−3i00−3ζ11−3ζ7000000000000-33+3i323−3i32-3003+3i323−3i320000000000003i3ζ113ζ73i003ζ113ζ7000000000000
χ783−3−3i32−3+3i32-1001+i321−i322−1−i3−1+i32−1−i3−1+i3000000−3i−3ζ11−3ζ7i00ζ11ζ7−2i−2ζ11−2ζ7−2i−2ζ11−2ζ7000000-33+3i323−3i32100−1−i32−1+i32-21+i31−i3-21+i31−i30000003i3ζ113ζ7−i00−ζ11−ζ72i2ζ112ζ72i2ζ112ζ7000000
χ793−3−3i32−3+3i32-1001+i321−i32−1+i32−1−i3−1−i3−1+i32000000−3i−3ζ11−3ζ7i00ζ11ζ7−2ζ7−2i−2ζ11−2ζ11−2ζ7−2i000000-33+3i323−3i32100−1−i32−1+i321−i3-21+i31+i31−i3-20000003i3ζ113ζ7−i00−ζ11−ζ72ζ72i2ζ112ζ112ζ72i000000
χ803−3−3i32−3+3i32-1001+i321−i32−1−i3−1+i32−1+i32−1−i3000000−3i−3ζ11−3ζ7i00ζ11ζ7−2ζ11−2ζ7−2i−2ζ7−2i−2ζ11000000-33+3i323−3i32100−1−i32−1+i321+i31−i3-21−i3-21+i30000003i3ζ113ζ7−i00−ζ11−ζ72ζ112ζ72i2ζ72i2ζ11000000

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