Finite Group Databasebeta

← Group #13164609

Character table — Group #13164609

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122222336666666666666666666661212121218182424242424242424242454547272727211222223366666666666666666666612121212181824242424242424242424545472727272
order12346121222346666666661212121212121212121233662233661212121212122266662264612122264666666666121212121212121212126666226666121212121212226666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111111111-1-1-1-1-1-11111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1
χ3111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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+i32111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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+i32
χ4111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ5111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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−i32111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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−i32
χ6111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ7111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11-11-11-1111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11-11-11-1
χ8111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-11-11-11111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-11-11-11
χ9111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32
χ10111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32
χ11111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32
χ12111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32
χ13222222222-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200-1-1-1-122-1-1-1-1000000222222222-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200-1-1-1-122-1-1-1-1000000
χ14222222222-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32000000222222222-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32000000
χ15222222222-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32000000222222222-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32000000
χ16222-22-2-222-1-222-1-1-1-1-1-1-1-2-211111111222200-1-1-1-1-2-21111000000222-22-2-222-1-222-1-1-1-1-1-1-1-2-211111111222200-1-1-1-1-2-21111000000
χ17222-22-2-222-1-222-1-1-1-1-1-1-1-2-211111111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32000000222-22-2-222-1-222-1-1-1-1-1-1-1-2-211111111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32000000
χ18222-22-2-222-1-222-1-1-1-1-1-1-1-2-211111111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32000000222-22-2-222-1-222-1-1-1-1-1-1-1-2-211111111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32000000
χ192-220-2002-2202-2222-2-2-2-2000000000022-2-20022-2-20000000000002-220-2002-2202-2222-2-2-2-2000000000022-2-20022-2-2000000000000
χ202-220-2002-2202-2222-2-2-2-20000000000−1−i3−1+i31+i31−i300−1−i3−1+i31+i31−i30000000000002-220-2002-2202-2222-2-2-2-20000000000−1−i3−1+i31+i31−i300−1−i3−1+i31+i31−i3000000000000
χ212-220-2002-2202-2222-2-2-2-20000000000−1+i3−1−i31−i31+i300−1+i3−1−i31−i31+i30000000000002-220-2002-2202-2222-2-2-2-20000000000−1+i3−1−i31−i31+i300−1+i3−1−i31−i31+i3000000000000
χ222-220-2002-2-102-2-1-1-11111003333−3−3−3−322-2-200-1-111003−33−30000002-220-2002-2-102-2-1-1-11111003333−3−3−3−322-2-200-1-111003−33−3000000
χ232-220-2002-2-102-2-1-1-11111003333−3−3−3−3−1−i3−1+i31+i31−i3001+i321−i32−1−i32−1+i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000002-220-2002-2-102-2-1-1-11111003333−3−3−3−3−1−i3−1+i31+i31−i3001+i321−i32−1−i32−1+i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ242-220-2002-2-102-2-1-1-11111003333−3−3−3−3−1+i3−1−i31−i31+i3001−i321+i32−1+i32−1−i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000002-220-2002-2-102-2-1-1-11111003333−3−3−3−3−1+i3−1−i31−i31+i3001−i321+i32−1+i32−1−i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000
χ252-220-2002-2-102-2-1-1-1111100−3−3−3−3333322-2-200-1-11100−33−330000002-220-2002-2-102-2-1-1-1111100−3−3−3−3333322-2-200-1-11100−33−33000000
χ262-220-2002-2-102-2-1-1-1111100−3−3−3−33333−1−i3−1+i31+i31−i3001+i321−i32−1−i32−1+i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000002-220-2002-2-102-2-1-1-1111100−3−3−3−33333−1−i3−1+i31+i31−i3001+i321−i32−1−i32−1+i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ272-220-2002-2-102-2-1-1-1111100−3−3−3−33333−1+i3−1−i31−i31+i3001−i321+i32−1+i32−1−i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000002-220-2002-2-102-2-1-1-1111100−3−3−3−33333−1+i3−1−i31−i31+i3001−i321+i32−1+i32−1−i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000
χ283333333-1-13-1-1-1-1-1-1-1-1-13-1-13-1-1-13-1-1-10000330000000000-1-100003333333-1-13-1-1-1-1-1-1-1-1-13-1-13-1-1-13-1-1-10000330000000000-1-10000
χ293333333-1-13-1-1-1-1-1-1-1-1-13-1-13-1-1-13-1-1-10000-3-300000000001100003333333-1-13-1-1-1-1-1-1-1-1-13-1-13-1-1-13-1-1-10000-3-30000000000110000
χ30333-33-3-3-1-131-1-1-1-1-1-1-1-1311-3111-311100003-30000000000-110000333-33-3-3-1-131-1-1-1-1-1-1-1-1311-3111-311100003-30000000000-110000
χ31333-33-3-3-1-131-1-1-1-1-1-1-1-1311-3111-31110000-3300000000001-10000333-33-3-3-1-131-1-1-1-1-1-1-1-1311-3111-31110000-3300000000001-10000
χ326666666-2-2-3-2-2-2111111-3-2-2-3111-311100000000000000000000006666666-2-2-3-2-2-2111111-3-2-2-3111-31110000000000000000000000
χ33666-66-6-6-2-2-32-2-2111111-3223-1-1-13-1-1-10000000000000000000000666-66-6-6-2-2-32-2-2111111-3223-1-1-13-1-1-10000000000000000000000
χ3466-36-3-3-36606-3-30000000-3-300000000000000000000000000000066-36-3-3-36606-3-30000000-3-3000000000000000000000000000000
χ3566-36-3-3-3-2-20-2114-2-24-2-201104-2-204-2-2000000000000000000000066-36-3-3-3-2-20-2114-2-24-2-201104-2-204-2-20000000000000000000000
χ3666-36-3-3-3-2-20-211-24-2-24-20110-24-20-24-2000000000000000000000066-36-3-3-3-2-20-211-24-2-24-20110-24-20-24-20000000000000000000000
χ3766-36-3-3-3-2-20-211-2-24-2-240110-2-240-2-24000000000000000000000066-36-3-3-3-2-20-211-2-24-2-240110-2-240-2-240000000000000000000000
χ3866-3-6-333660-6-3-300000003300000000000000000000000000000066-3-6-333660-6-3-3000000033000000000000000000000000000000
χ3966-3-6-333-2-202114-2-24-2-20-1-10-4220-422000000000000000000000066-3-6-333-2-202114-2-24-2-20-1-10-4220-4220000000000000000000000
χ4066-3-6-333-2-20211-24-2-24-20-1-102-4202-42000000000000000000000066-3-6-333-2-20211-24-2-24-20-1-102-4202-420000000000000000000000
χ4166-3-6-333-2-20211-2-24-2-240-1-1022-4022-4000000000000000000000066-3-6-333-2-20211-2-24-2-240-1-1022-4022-40000000000000000000000
χ426-660-600-2260-22-2-2-2222-6000000000000000000000000000000006-660-600-2260-22-2-2-2222-600000000000000000000000000000000
χ436-660-600-22-30-22111-1-1-130033−3−3−3−3333300000000000000000000006-660-600-22-30-22111-1-1-130033−3−3−3−333330000000000000000000000
χ446-660-600-22-30-22111-1-1-1300−3333333−3−3−300000000000000000000006-660-600-22-30-22111-1-1-1300−3333333−3−3−30000000000000000000000
χ456-6-30333−336-600-33000000033−330000000000000000000000000000006-6-30333−336-600-33000000033−33000000000000000000000000000000
χ466-6-30333−33-22001-14-2-2-4220−330023−2300−232300000000000000000000006-6-30333−33-22001-14-2-2-4220−330023−2300−23230000000000000000000000
χ476-6-30333−33-22001-1-24-22-420−330−230230230−2300000000000000000000006-6-30333−33-22001-1-24-22-420−330−230230230−230000000000000000000000
χ486-6-30333−33-22001-1-2-2422-40−33023−2300−2323000000000000000000000006-6-30333−33-22001-1-2-2422-40−33023−2300−232300000000000000000000000
χ496-6-303−33336-600-330000000−33330000000000000000000000000000006-6-303−33336-600-330000000−3333000000000000000000000000000000
χ506-6-303−3333-22001-14-2-2-42203−300−23230023−2300000000000000000000006-6-303−3333-22001-14-2-2-42203−300−23230023−230000000000000000000000
χ516-6-303−3333-22001-1-24-22-4203−30230−230−2302300000000000000000000006-6-303−3333-22001-1-24-22-4203−30230−230−230230000000000000000000000
χ526-6-303−3333-22001-1-2-2422-403−30−23230023−23000000000000000000000006-6-303−3333-22001-1-2-2422-403−30−23230023−2300000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ541111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ55111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i321+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32
χ56111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32111+i321−i321+i321−i321+i321−i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ57111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i321−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ58111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32111−i321+i321−i321+i321−i321+i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ59111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11-11-11-1-1-1-11-111-1-1-11-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-1-1-1-1111111-11-11-11
χ60111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-11-11-11-1-1-11-111-1-1-11-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1-11111111-11-11-1
χ61111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32-1-1-11-111-1-1-11-1-1-1-1-1-1-1-1-111111111111+i321−i321+i321−i32-111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32
χ62111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32-1-1-11-111-1-1-11-1-1-1-1-1-1-1-1-111111111111+i321−i321+i321−i321-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32
χ63111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32-1-1-11-111-1-1-11-1-1-1-1-1-1-1-1-111111111111−i321+i321−i321+i32-111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32
χ64111-11-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32-1-1-11-111-1-1-11-1-1-1-1-1-1-1-1-111111111111−i321+i321−i321+i321-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32
χ65222222222-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200-1-1-1-122-1-1-1-1000000-2-2-2-2-2-2-2-2-21-2-2-21111111-2-211111111-2-2-2-2001111-2-21111000000
χ66222222222-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32000000-2-2-2-2-2-2-2-2-21-2-2-21111111-2-2111111111+i31−i31+i31−i300−1−i32−1+i32−1−i32−1+i321+i31−i3−1−i32−1−i32−1+i32−1+i32000000
χ67222222222-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32000000-2-2-2-2-2-2-2-2-21-2-2-21111111-2-2111111111−i31+i31−i31+i300−1+i32−1−i32−1+i32−1−i321−i31+i3−1+i32−1+i32−1−i32−1−i32000000
χ68222-22-2-222-1-222-1-1-1-1-1-1-1-2-211111111222200-1-1-1-1-2-21111000000-2-2-22-222-2-212-2-2111111122-1-1-1-1-1-1-1-1-2-2-2-200111122-1-1-1-1000000
χ69222-22-2-222-1-222-1-1-1-1-1-1-1-2-211111111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32000000-2-2-22-222-2-212-2-2111111122-1-1-1-1-1-1-1-11+i31−i31+i31−i300−1−i32−1+i32−1−i32−1+i32−1−i3−1+i31+i321+i321−i321−i32000000
χ70222-22-2-222-1-222-1-1-1-1-1-1-1-2-211111111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32000000-2-2-22-222-2-212-2-2111111122-1-1-1-1-1-1-1-11−i31+i31−i31+i300−1+i32−1−i32−1+i32−1−i32−1+i3−1−i31−i321−i321+i321+i32000000
χ712-220-2002-2202-2222-2-2-2-2000000000022-2-20022-2-2000000000000-22-20200-22-20-22-2-2-222220000000000-2-22200-2-222000000000000
χ722-220-2002-2202-2222-2-2-2-20000000000−1−i3−1+i31+i31−i300−1−i3−1+i31+i31−i3000000000000-22-20200-22-20-22-2-2-2222200000000001+i31−i3−1−i3−1+i3001+i31−i3−1−i3−1+i3000000000000
χ732-220-2002-2202-2222-2-2-2-20000000000−1+i3−1−i31−i31+i300−1+i3−1−i31−i31+i3000000000000-22-20200-22-20-22-2-2-2222200000000001−i31+i3−1+i3−1−i3001−i31+i3−1+i3−1−i3000000000000
χ742-220-2002-2-102-2-1-1-11111003333−3−3−3−322-2-200-1-111003−33−3000000-22-20200-2210-22111-1-1-1-100−3−3−3−33333-2-2220011-1-100−33−33000000
χ752-220-2002-2-102-2-1-1-11111003333−3−3−3−3−1−i3−1+i31+i31−i3001+i321−i32−1−i32−1+i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000-22-20200-2210-22111-1-1-1-100−3−3−3−333331+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ762-220-2002-2-102-2-1-1-11111003333−3−3−3−3−1+i3−1−i31−i31+i3001−i321+i32−1+i32−1−i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000-22-20200-2210-22111-1-1-1-100−3−3−3−333331−i31+i3−1+i3−1−i300−1+i32−1−i321−i321+i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000
χ772-220-2002-2-102-2-1-1-1111100−3−3−3−3333322-2-200-1-11100−33−33000000-22-20200-2210-22111-1-1-1-1003333−3−3−3−3-2-2220011-1-1003−33−3000000
χ782-220-2002-2-102-2-1-1-1111100−3−3−3−33333−1−i3−1+i31+i31−i3001+i321−i32−1−i32−1+i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000-22-20200-2210-22111-1-1-1-1003333−3−3−3−31+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ792-220-2002-2-102-2-1-1-1111100−3−3−3−33333−1+i3−1−i31−i31+i3001−i321+i32−1+i32−1−i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000-22-20200-2210-22111-1-1-1-1003333−3−3−3−31−i31+i3−1+i3−1−i300−1+i32−1−i321−i321+i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000
χ803333333-1-13-1-1-1-1-1-1-1-1-13-1-13-1-1-13-1-1-10000330000000000-1-10000-3-3-3-3-3-3-311-3111111111-311-3111-31110000-3-30000000000110000
χ813333333-1-13-1-1-1-1-1-1-1-1-13-1-13-1-1-13-1-1-10000-3-30000000000110000-3-3-3-3-3-3-311-3111111111-311-3111-31110000330000000000-1-10000
χ82333-33-3-3-1-131-1-1-1-1-1-1-1-1311-3111-311100003-30000000000-110000-3-3-33-33311-3-111111111-3-1-13-1-1-13-1-1-10000-3300000000001-10000
χ83333-33-3-3-1-131-1-1-1-1-1-1-1-1311-3111-31110000-3300000000001-10000-3-3-33-33311-3-111111111-3-1-13-1-1-13-1-1-100003-30000000000-110000
χ846666666-2-2-3-2-2-2111111-3-2-2-3111-31110000000000000000000000-6-6-6-6-6-6-6223222-1-1-1-1-1-13223-1-1-13-1-1-10000000000000000000000
χ85666-66-6-6-2-2-32-2-2111111-3223-1-1-13-1-1-10000000000000000000000-6-6-66-666223-222-1-1-1-1-1-13-2-2-3111-31110000000000000000000000
χ8666-36-3-3-36606-3-30000000-3-3000000000000000000000000000000-6-63-6333-6-60-633000000033000000000000000000000000000000
χ8766-36-3-3-3-2-20-2114-2-24-2-201104-2-204-2-20000000000000000000000-6-63-63332202-1-1-422-4220-1-10-4220-4220000000000000000000000
χ8866-36-3-3-3-2-20-211-24-2-24-20110-24-20-24-20000000000000000000000-6-63-63332202-1-12-422-420-1-102-4202-420000000000000000000000
χ8966-36-3-3-3-2-20-211-2-24-2-240110-2-240-2-240000000000000000000000-6-63-63332202-1-122-422-40-1-1022-4022-40000000000000000000000
χ9066-3-6-333660-6-3-3000000033000000000000000000000000000000-6-6363-3-3-6-606330000000-3-3000000000000000000000000000000
χ9166-3-6-333-2-202114-2-24-2-20-1-10-4220-4220000000000000000000000-6-6363-3-3220-2-1-1-422-42201104-2-204-2-20000000000000000000000
χ9266-3-6-333-2-20211-24-2-24-20-1-102-4202-420000000000000000000000-6-6363-3-3220-2-1-12-422-420110-24-20-24-20000000000000000000000
χ9366-3-6-333-2-20211-2-24-2-240-1-1022-4022-40000000000000000000000-6-6363-3-3220-2-1-122-422-40110-2-240-2-240000000000000000000000
χ946-660-600-2260-22-2-2-2222-600000000000000000000000000000000-66-606002-2-602-2222-2-2-2600000000000000000000000000000000
χ956-660-600-22-30-22111-1-1-130033−3−3−3−333330000000000000000000000-66-606002-2302-2-1-1-1111-300−3333333−3−3−30000000000000000000000
χ966-660-600-22-30-22111-1-1-1300−3333333−3−3−30000000000000000000000-66-606002-2302-2-1-1-1111-30033−3−3−3−333330000000000000000000000
χ976-6-30333−336-600-33000000033−33000000000000000000000000000000-6630-3−3333-66003-30000000−3333000000000000000000000000000000
χ986-6-30333−33-22001-14-2-2-4220−330023−2300−23230000000000000000000000-6630-3−33332-200-11-4224-2-203−300−23230023−230000000000000000000000
χ996-6-30333−33-22001-1-24-22-420−330−230230230−230000000000000000000000-6630-3−33332-200-112-42-24-203−30230−230−230230000000000000000000000
χ1006-6-30333−33-22001-1-2-2422-40−33023−2300−232300000000000000000000000-6630-3−33332-200-1122-4-2-2403−30−23230023−2300000000000000000000000
χ1016-6-303−33336-600-330000000−3333000000000000000000000000000000-6630-333−33-66003-3000000033−33000000000000000000000000000000
χ1026-6-303−3333-22001-14-2-2-42203−300−23230023−230000000000000000000000-6630-333−332-200-11-4224-2-20−330023−2300−23230000000000000000000000
χ1036-6-303−3333-22001-1-24-22-4203−30230−230−230230000000000000000000000-6630-333−332-200-112-42-24-20−330−230230230−230000000000000000000000
χ1046-6-303−3333-22001-1-2-2422-403−30−23230023−2300000000000000000000000-6630-333−332-200-1122-4-2-240−33023−2300−232300000000000000000000000

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