Finite Group Databasebeta

← Group #13181109

Character table — Group #13181109

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11222224444444444444466666666666688888991212121212121212121212121818181818363672721081081122222444444444444446666666666668888899121212121212121212121212181818181836367272108108
order122366633336666666666444412121212121212123666622121212121212121212121212266662461244222666666666666666666444412121212121212126666622121212121212121212121212266662461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ511-11-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-11-11-1-111111111-1-1-1-1-1-1-111-1-11-11-11-111-11-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-11-11-1-111111111-1-1-1-1-1-1-111-1-11-11-11-1
χ611-11-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-11-11-1-111111111-1-1-1-1-1-1-111-1-1-11-11-1111-11-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-11-11-1-111111111-1-1-1-1-1-1-111-1-1-11-11-11
χ711-11-1-111111-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-111-1-1-1-1-1-1111111-111-1-11-11-1-1111-11-1-111111-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-111-1-1-1-1-1-1111111-111-1-11-11-1-11
χ811-11-1-111111-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-111-1-1-1-1-1-1111111-111-1-1-11-111-111-11-1-111111-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-111-1-1-1-1-1-1111111-111-1-1-11-111-1
χ922222222222222222222200000000000022222-2-2000000000000-2-2-2-2-200000022222222222222222222200000000000022222-2-2000000000000-2-2-2-2-2000000
χ10222-1-1-1-12-1-1222-1-1-1-12-1-120000−i3−i3i3i3−i3−i3i3i3-12-1-1-1-2-200−i3−i3i3i300−i3−i3i3i3-21111000000222-1-1-1-12-1-1222-1-1-1-12-1-120000−i3−i3i3i3−i3−i3i3i3-12-1-1-1-2-200−i3−i3i3i300−i3−i3i3i3-21111000000
χ11222-1-1-1-12-1-1222-1-1-1-12-1-120000i3i3−i3−i3i3i3−i3−i3-12-1-1-1-2-200i3i3−i3−i300i3i3−i3−i3-21111000000222-1-1-1-12-1-1222-1-1-1-12-1-120000i3i3−i3−i3i3i3−i3−i3-12-1-1-1-2-200i3i3−i3−i300i3i3−i3−i3-21111000000
χ12222-1-1-1-12-1-1222-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-12-1-1-1-1000000222-1-1-1-12-1-1222-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-12-1-1-1-1000000
χ13222-1-1-1-12-1-1222-1-1-1-12-1-12-2-2-2-211111111-12-1-1-122-2-21111-2-211112-1-1-1-1000000222-1-1-1-12-1-1222-1-1-1-12-1-12-2-2-2-211111111-12-1-1-122-2-21111-2-211112-1-1-1-1000000
χ1422-22-2-222222-2-2-2-2-2-222220000000000002-22-2-2-2-20000000000002-2-22200000022-22-2-222222-2-2-2-2-2-222220000000000002-22-2-2-2-20000000000002-2-222000000
χ1522-2-111-12-1-12-2-211112-1-120000−i3−i3i3i3i3i3−i3−i3-1-2-111-2-200−i3−i3i3i300i3i3−i3−i3211-1-100000022-2-111-12-1-12-2-211112-1-120000−i3−i3i3i3i3i3−i3−i3-1-2-111-2-200−i3−i3i3i300i3i3−i3−i3211-1-1000000
χ1622-2-111-12-1-12-2-211112-1-120000i3i3−i3−i3−i3−i3i3i3-1-2-111-2-200i3i3−i3−i300−i3−i3i3i3211-1-100000022-2-111-12-1-12-2-211112-1-120000i3i3−i3−i3−i3−i3i3i3-1-2-111-2-200i3i3−i3−i300−i3−i3i3i3211-1-1000000
χ1722-2-111-12-1-12-2-211112-1-1222-2-2-1-1-1-11111-1-2-1112222-1-1-1-1-2-21111-2-1-11100000022-2-111-12-1-12-2-211112-1-1222-2-2-1-1-1-11111-1-2-1112222-1-1-1-1-2-21111-2-1-111000000
χ1822-2-111-12-1-12-2-211112-1-12-2-2221111-1-1-1-1-1-2-11122-2-2111122-1-1-1-1-2-1-11100000022-2-111-12-1-12-2-211112-1-12-2-2221111-1-1-1-1-1-2-11122-2-2111122-1-1-1-1-2-1-111000000
χ192-20200-22222000000-2-2-2-2002i−2i00002i−2i2i−2i20-2002-20000002i−2i2i−2i2i−2i02-2000000002-20200-22222000000-2-2-2-2002i−2i00002i−2i2i−2i20-2002-20000002i−2i2i−2i2i−2i02-200000000
χ202-20200-22222000000-2-2-2-200−2i2i0000−2i2i−2i2i20-2002-2000000−2i2i−2i2i−2i2i02-2000000002-20200-22222000000-2-2-2-200−2i2i0000−2i2i−2i2i20-2002-2000000−2i2i−2i2i−2i2i02-200000000
χ212-20200-22222000000-2-2-2-22i−2i002i−2i2i−2i000020-200-222i−2i2i−2i2i−2i0000000-22000000002-20200-22222000000-2-2-2-22i−2i002i−2i2i−2i000020-200-222i−2i2i−2i2i−2i0000000-2200000000
χ222-20200-22222000000-2-2-2-2−2i2i00−2i2i−2i2i000020-200-22−2i2i−2i2i−2i2i0000000-22000000002-20200-22222000000-2-2-2-2−2i2i00−2i2i−2i2i000020-200-22−2i2i−2i2i−2i2i0000000-2200000000
χ232-20-1−i3i312-1-1200−i3−i3i3i3-211-2002i−2i3−3−33−ii−ii-101−i3i32-2003−3−332i−2i−ii−ii0-11−i3i30000002-20-1−i3i312-1-1200−i3−i3i3i3-211-2002i−2i3−3−33−ii−ii-101−i3i32-2003−3−332i−2i−ii−ii0-11−i3i3000000
χ242-20-1−i3i312-1-1200−i3−i3i3i3-211-200−2i2i−333−3i−ii−i-101−i3i32-200−333−3−2i2ii−ii−i0-11−i3i30000002-20-1−i3i312-1-1200−i3−i3i3i3-211-200−2i2i−333−3i−ii−i-101−i3i32-200−333−3−2i2ii−ii−i0-11−i3i3000000
χ252-20-1−i3i312-1-1200−i3−i3i3i3-211-22i−2i00−ii−ii3−3−33-101−i3i3-222i−2i−ii−ii003−3−3301-1i3−i30000002-20-1−i3i312-1-1200−i3−i3i3i3-211-22i−2i00−ii−ii3−3−33-101−i3i3-222i−2i−ii−ii003−3−3301-1i3−i3000000
χ262-20-1−i3i312-1-1200−i3−i3i3i3-211-2−2i2i00i−ii−i−333−3-101−i3i3-22−2i2ii−ii−i00−333−301-1i3−i30000002-20-1−i3i312-1-1200−i3−i3i3i3-211-2−2i2i00i−ii−i−333−3-101−i3i3-22−2i2ii−ii−i00−333−301-1i3−i3000000
χ272-20-1i3−i312-1-1200i3i3−i3−i3-211-2002i−2i−333−3−ii−ii-101i3−i32-200−333−32i−2i−ii−ii0-11i3−i30000002-20-1i3−i312-1-1200i3i3−i3−i3-211-2002i−2i−333−3−ii−ii-101i3−i32-200−333−32i−2i−ii−ii0-11i3−i3000000
χ282-20-1i3−i312-1-1200i3i3−i3−i3-211-200−2i2i3−3−33i−ii−i-101i3−i32-2003−3−33−2i2ii−ii−i0-11i3−i30000002-20-1i3−i312-1-1200i3i3−i3−i3-211-200−2i2i3−3−33i−ii−i-101i3−i32-2003−3−33−2i2ii−ii−i0-11i3−i3000000
χ292-20-1i3−i312-1-1200i3i3−i3−i3-211-22i−2i00−ii−ii−333−3-101i3−i3-222i−2i−ii−ii00−333−301-1−i3i30000002-20-1i3−i312-1-1200i3i3−i3−i3-211-22i−2i00−ii−ii−333−3-101i3−i3-222i−2i−ii−ii00−333−301-1−i3i3000000
χ302-20-1i3−i312-1-1200i3i3−i3−i3-211-2−2i2i00i−ii−i3−3−33-101i3−i3-22−2i2ii−ii−i003−3−3301-1−i3i30000002-20-1i3−i312-1-1200i3i3−i3−i3-211-2−2i2i00i−ii−i3−3−33-101i3−i3-22−2i2ii−ii−i003−3−3301-1−i3i3000000
χ314444444111-2111111111-2222222222222-2-2-2-2-200-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444111-2111111111-2222222222222-2-2-2-2-200-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ324444444111-2111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200111111111111000000000004444444111-2111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20011111111111100000000000
χ334444444-2-2-21-2-2-2-2-2-2-2-2-2100000000000011111000000000000000000022-1-1004444444-2-2-21-2-2-2-2-2-2-2-2-2100000000000011111000000000000000000022-1-100
χ344444444-2-2-21-2-2-2-2-2-2-2-2-21000000000000111110000000000000000000-2-211004444444-2-2-21-2-2-2-2-2-2-2-2-21000000000000111110000000000000000000-2-21100
χ35444-2-2-2-21−1−3i32−1+3i32-211−1−3i32−1+3i32−1−3i32−1+3i321−1−3i32−1+3i32-22222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i31-211100-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3200000000000444-2-2-2-21−1−3i32−1+3i32-211−1−3i32−1+3i32−1−3i32−1+3i321−1−3i32−1+3i32-22222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i31-211100-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3200000000000
χ36444-2-2-2-21−1−3i32−1+3i32-211−1−3i32−1+3i32−1−3i32−1+3i321−1−3i32−1+3i32-2-2-2-2-21+i31+i31−i31−i31+i31+i31−i31−i31-21110011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3200000000000444-2-2-2-21−1−3i32−1+3i32-211−1−3i32−1+3i32−1−3i32−1+3i321−1−3i32−1+3i32-2-2-2-2-21+i31+i31−i31−i31+i31+i31−i31−i31-21110011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3200000000000
χ37444-2-2-2-21−1+3i32−1−3i32-211−1+3i32−1−3i32−1+3i32−1−3i321−1+3i32−1−3i32-22222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i31-211100-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3200000000000444-2-2-2-21−1+3i32−1−3i32-211−1+3i32−1−3i32−1+3i32−1−3i321−1+3i32−1−3i32-22222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i31-211100-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3200000000000
χ38444-2-2-2-21−1+3i32−1−3i32-211−1+3i32−1−3i32−1+3i32−1−3i321−1+3i32−1−3i32-2-2-2-2-21−i31−i31+i31+i31−i31−i31+i31+i31-21110011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3200000000000444-2-2-2-21−1+3i32−1−3i32-211−1+3i32−1−3i32−1+3i32−1−3i321−1+3i32−1−3i32-2-2-2-2-21−i31−i31+i31+i31−i31−i31+i31+i31-21110011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3200000000000
χ3944-44-4-44111-2-1-1-1-1-1-1111-222-2-22222-2-2-2-2-22-22200-1-1-1-1-1-11111110000000000044-44-4-44111-2-1-1-1-1-1-1111-222-2-22222-2-2-2-2-22-22200-1-1-1-1-1-111111100000000000
χ4044-44-4-44111-2-1-1-1-1-1-1111-2-2-222-2-2-2-22222-22-22200111111-1-1-1-1-1-10000000000044-44-4-44111-2-1-1-1-1-1-1111-2-2-222-2-2-2-22222-22-22200111111-1-1-1-1-1-100000000000
χ4144-44-4-44-2-2-21222222-2-2-210000000000001-11-1-100000000000000000002-2-110044-44-4-44-2-2-21222222-2-2-210000000000001-11-1-100000000000000000002-2-1100
χ4244-44-4-44-2-2-21222222-2-2-210000000000001-11-1-10000000000000000000-221-10044-44-4-44-2-2-21222222-2-2-210000000000001-11-1-10000000000000000000-221-100
χ4344-4-222-21−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i321−1−3i32−1+3i32-222-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3121-1-100-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i320000000000044-4-222-21−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i321−1−3i32−1+3i32-222-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3121-1-100-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3200000000000
χ4444-4-222-21−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i321−1−3i32−1+3i32-2-2-2221+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3121-1-10011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i320000000000044-4-222-21−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i321−1−3i32−1+3i32-2-2-2221+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3121-1-10011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3200000000000
χ4544-4-222-21−1+3i32−1−3i32-2-1-11−3i321+3i321−3i321+3i321−1+3i32−1−3i32-222-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3121-1-100-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i320000000000044-4-222-21−1+3i32−1−3i32-2-1-11−3i321+3i321−3i321+3i321−1+3i32−1−3i32-222-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3121-1-100-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3200000000000
χ4644-4-222-21−1+3i32−1−3i32-2-1-11−3i321+3i321−3i321+3i321−1+3i32−1−3i32-2-2-2221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3121-1-10011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i320000000000044-4-222-21−1+3i32−1−3i32-2-1-11−3i321+3i321−3i321+3i321−1+3i32−1−3i32-2-2-2221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3121-1-10011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3200000000000
χ474-40400-4111-23-33-3-33-1-1-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i-2020000−ii−ii−ii−ii−ii−ii000000000004-40400-4111-23-33-3-33-1-1-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i-2020000−ii−ii−ii−ii−ii−ii00000000000
χ484-40400-4111-23-33-3-33-1-1-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i-2020000i−ii−ii−ii−ii−ii−i000000000004-40400-4111-23-33-3-33-1-1-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i-2020000i−ii−ii−ii−ii−ii−i00000000000
χ494-40400-4111-2-33-333-3-1-1-122i−2i−2i2i2i−2i2i−2i−2i2i−2i2i-2020000−ii−ii−iii−ii−ii−i000000000004-40400-4111-2-33-333-3-1-1-122i−2i−2i2i2i−2i2i−2i−2i2i−2i2i-2020000−ii−ii−iii−ii−ii−i00000000000
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χ10244-44-4-44111-2-1-1-1-1-1-1111-222-2-22222-2-2-2-2-22-22200-1-1-1-1-1-111111100000000000-4-44-444-4-1-1-12111111-1-1-12-2-222-2-2-2-222222-22-2-200111111-1-1-1-1-1-100000000000
χ10344-44-4-44111-2-1-1-1-1-1-1111-2-2-222-2-2-2-22222-22-22200111111-1-1-1-1-1-100000000000-4-44-444-4-1-1-12111111-1-1-1222-2-22222-2-2-2-22-22-2-200-1-1-1-1-1-111111100000000000
χ10444-44-4-44-2-2-21222222-2-2-210000000000001-11-1-100000000000000000002-2-1100-4-44-444-4222-1-2-2-2-2-2-2222-1000000000000-11-1110000000000000000000-221-100
χ10544-44-4-44-2-2-21222222-2-2-210000000000001-11-1-10000000000000000000-221-100-4-44-444-4222-1-2-2-2-2-2-2222-1000000000000-11-11100000000000000000002-2-1100
χ10644-4-222-21−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i321−1−3i32−1+3i32-222-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3121-1-100-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3200000000000-4-442-2-22-11+3i321−3i32211−1−3i32−1+3i32−1−3i32−1+3i32-11+3i321−3i322-2-2221+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-1-2-1110011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3200000000000
χ10744-4-222-21−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i321−1−3i32−1+3i32-2-2-2221+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3121-1-10011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3200000000000-4-442-2-22-11+3i321−3i32211−1−3i32−1+3i32−1−3i32−1+3i32-11+3i321−3i32222-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-1-2-11100-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3200000000000
χ10844-4-222-21−1+3i32−1−3i32-2-1-11−3i321+3i321−3i321+3i321−1+3i32−1−3i32-222-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3121-1-100-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3200000000000-4-442-2-22-11−3i321+3i32211−1+3i32−1−3i32−1+3i32−1−3i32-11−3i321+3i322-2-2221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-1-2-1110011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3200000000000
χ10944-4-222-21−1+3i32−1−3i32-2-1-11−3i321+3i321−3i321+3i321−1+3i32−1−3i32-2-2-2221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3121-1-10011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3200000000000-4-442-2-22-11−3i321+3i32211−1+3i32−1−3i32−1+3i32−1−3i32-11−3i321+3i32222-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-1-2-11100-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3200000000000
χ1104-40400-4111-23-33-3-33-1-1-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i-2020000−ii−ii−ii−ii−ii−ii00000000000-440-4004-1-1-12-33-333-3111-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i20-20000i−ii−ii−ii−ii−ii−i00000000000
χ1114-40400-4111-23-33-3-33-1-1-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i-2020000i−ii−ii−ii−ii−ii−i00000000000-440-4004-1-1-12-33-333-3111-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i20-20000−ii−ii−ii−ii−ii−ii00000000000
χ1124-40400-4111-2-33-333-3-1-1-122i−2i−2i2i2i−2i2i−2i−2i2i−2i2i-2020000−ii−ii−iii−ii−ii−i00000000000-440-4004-1-1-123-33-3-33111-2−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i20-20000i−ii−ii−i−ii−ii−ii00000000000
χ1134-40400-4111-2-33-333-3-1-1-12−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i-2020000i−ii−ii−i−ii−ii−ii00000000000-440-4004-1-1-123-33-3-33111-22i−2i−2i2i2i−2i2i−2i−2i2i−2i2i20-20000−ii−ii−iii−ii−ii−i00000000000
χ1144-40-2−2i32i321−1−3i32−1+3i32-23-3−3−i323−i323+i32−3+i32-11+3i321−3i3222i−2i2i−2i2ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ710-1i3−i300−ii−ζ11ζ11−ζ7ζ7−ii−ζ11ζ11−ζ7ζ700000000000-44022i3−2i3-2-11+3i321−3i322-333+i32−3+i32−3−i323−i321−1−3i32−1+3i32-2−2i2i−2i2i−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7-101−i3i300i−iζ11−ζ11ζ7−ζ7i−iζ11−ζ11ζ7−ζ700000000000
χ1154-40-2−2i32i321−1−3i32−1+3i32-23-3−3−i323−i323+i32−3+i32-11+3i321−3i322−2i2i−2i2i−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ710-1i3−i300i−iζ11−ζ11ζ7−ζ7i−iζ11−ζ11ζ7−ζ700000000000-44022i3−2i3-2-11+3i321−3i322-333+i32−3+i32−3−i323−i321−1−3i32−1+3i32-22i−2i2i−2i2ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ7-101−i3i300−ii−ζ11ζ11−ζ7ζ7−ii−ζ11ζ11−ζ7ζ700000000000
χ1164-40-2−2i32i321−1+3i32−1−3i32-2-333−i32−3−i32−3+i323+i32-11−3i321+3i3222i−2i−2i2i2ζ7−2ζ72ζ11−2ζ11−2ζ72ζ7−2ζ112ζ1110-1i3−i300−ii−ζ7ζ7−ζ11ζ11i−iζ7−ζ7ζ11−ζ1100000000000-44022i3−2i3-2-11−3i321+3i3223-3−3+i323+i323−i32−3−i321−1+3i32−1−3i32-2−2i2i2i−2i−2ζ72ζ7−2ζ112ζ112ζ7−2ζ72ζ11−2ζ11-101−i3i300i−iζ7−ζ7ζ11−ζ11−ii−ζ7ζ7−ζ11ζ1100000000000
χ1174-40-2−2i32i321−1+3i32−1−3i32-2-333−i32−3−i32−3+i323+i32-11−3i321+3i322−2i2i2i−2i−2ζ72ζ7−2ζ112ζ112ζ7−2ζ72ζ11−2ζ1110-1i3−i300i−iζ7−ζ7ζ11−ζ11−ii−ζ7ζ7−ζ11ζ1100000000000-44022i3−2i3-2-11−3i321+3i3223-3−3+i323+i323−i32−3−i321−1+3i32−1−3i32-22i−2i−2i2i2ζ7−2ζ72ζ11−2ζ11−2ζ72ζ7−2ζ112ζ11-101−i3i300−ii−ζ7ζ7−ζ11ζ11i−iζ7−ζ7ζ11−ζ1100000000000
χ1184-40-22i3−2i321−1−3i32−1+3i32-2-333+i32−3+i32−3−i323−i32-11+3i321−3i3222i−2i−2i2i2ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ710-1−i3i300−ii−ζ11ζ11−ζ7ζ7i−iζ11−ζ11ζ7−ζ700000000000-4402−2i32i3-2-11+3i321−3i3223-3−3−i323−i323+i32−3+i321−1−3i32−1+3i32-2−2i2i2i−2i−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ7-101i3−i300i−iζ11−ζ11ζ7−ζ7−ii−ζ11ζ11−ζ7ζ700000000000
χ1194-40-22i3−2i321−1−3i32−1+3i32-2-333+i32−3+i32−3−i323−i32-11+3i321−3i322−2i2i2i−2i−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ710-1−i3i300i−iζ11−ζ11ζ7−ζ7−ii−ζ11ζ11−ζ7ζ700000000000-4402−2i32i3-2-11+3i321−3i3223-3−3−i323−i323+i32−3+i321−1−3i32−1+3i32-22i−2i−2i2i2ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ7-101i3−i300−ii−ζ11ζ11−ζ7ζ7i−iζ11−ζ11ζ7−ζ700000000000
χ1204-40-22i3−2i321−1+3i32−1−3i32-23-3−3+i323+i323−i32−3−i32-11−3i321+3i3222i−2i2i−2i2ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ1110-1−i3i300−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ1100000000000-4402−2i32i3-2-11−3i321+3i322-333−i32−3−i32−3+i323+i321−1+3i32−1−3i32-2−2i2i−2i2i−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11-101i3−i300i−iζ7−ζ7ζ11−ζ11i−iζ7−ζ7ζ11−ζ1100000000000
χ1214-40-22i3−2i321−1+3i32−1−3i32-23-3−3+i323+i323−i32−3−i32-11−3i321+3i322−2i2i−2i2i−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ1110-1−i3i300i−iζ7−ζ7ζ11−ζ11i−iζ7−ζ7ζ11−ζ1100000000000-4402−2i32i3-2-11−3i321+3i322-333−i32−3−i32−3+i323+i321−1+3i32−1−3i32-22i−2i2i−2i2ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ11-101i3−i300−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ1100000000000
χ122888-4-4-4-4-4222-4-42222-4222000000000000-12-1-1-10000000000000000000000000-8-8-844444-2-2-244-2-2-2-24-2-2-20000000000001-21110000000000000000000000000
χ12388-8-444-4-422244-2-2-2-2-4222000000000000-1-2-1110000000000000000000000000-8-884-4-444-2-2-2-4-422224-2-2-2000000000000121-1-10000000000000000000000000
χ1248-80800-8-4-4-42000000444-200000000000020-2000000000000000000000000000-880-8008444-2000000-4-4-42000000000000-202000000000000000000000000000
χ1258-80-4−4i34i34-4222002i32i3−2i3−2i34-2-2-2000000000000-101−i3i30000000000000000000000000-88044i3−4i3-44-2-2-200−2i3−2i32i32i3-422200000000000010-1i3−i30000000000000000000000000
χ1268-80-44i3−4i34-422200−2i3−2i32i32i34-2-2-2000000000000-101i3−i30000000000000000000000000-8804−4i34i3-44-2-2-2002i32i3−2i3−2i3-422200000000000010-1−i3i30000000000000000000000000

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