Finite Group Databasebeta

← Group #13181084

Character table — Group #13181084

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11222224444444444444466666666666688888991212121212121212121212121818181818363672721081081122222444444444444446666666666668888899121212121212121212121212181818181836367272108108
order1234612123333666612121212121222446666121212123612121222666666121212121212466121222664422646121266666666121212121212224466661212121266121212226666661212121212124661212226644
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
χ5111-11-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-111-1-11-11-11-1111-11-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-111-1-11-11-11-1
χ6111-11-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-111-1-1-11-11-11111-11-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-111-1-1-11-11-11
χ7111-11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111-111-1-11-11-1-11111-11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111-111-1-11-11-1-11
χ8111-11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111-111-1-1-11-111-1111-11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111-111-1-1-11-111-1
χ922222222222222222222200000000000022222-2-2000000000000-2-2-2-2-200000022222222222222222222200000000000022222-2-2000000000000-2-2-2-2-2000000
χ10222-22-2-222222222-2-2-2-2-2-200000000000022-2-2-2-2-20000000000002-2-222000000222-22-2-222222222-2-2-2-2-2-200000000000022-2-2-2-2-20000000000002-2-222000000
χ1122-12-1-1-12-1-1222-1-122-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-1-12-1-1-2-200−i3−i3i3i300−i3−i3i3i3-2111100000022-12-1-1-12-1-1222-1-122-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-1-12-1-1-2-200−i3−i3i3i300−i3−i3i3i3-21111000000
χ1222-12-1-1-12-1-1222-1-122-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-1-12-1-1-2-200i3i3−i3−i300i3i3−i3−i3-2111100000022-12-1-1-12-1-1222-1-122-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-1-12-1-1-2-200i3i3−i3−i300i3i3−i3−i3-21111000000
χ1322-12-1-1-12-1-1222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-12-1-1-1-100000022-12-1-1-12-1-1222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-12-1-1-1-1000000
χ1422-12-1-1-12-1-1222-1-122-1-1-1-1-2-2-2-211111111-1-12-1-122-2-21111-2-211112-1-1-1-100000022-12-1-1-12-1-1222-1-122-1-1-1-1-2-2-2-211111111-1-12-1-122-2-21111-2-211112-1-1-1-1000000
χ1522-1-2-1112-1-1222-1-1-2-211110000−i3−i3i3i3i3i3−i3−i3-1-1-211-2-200−i3−i3i3i300i3i3−i3−i3211-1-100000022-1-2-1112-1-1222-1-1-2-211110000−i3−i3i3i3i3i3−i3−i3-1-1-211-2-200−i3−i3i3i300i3i3−i3−i3211-1-1000000
χ1622-1-2-1112-1-1222-1-1-2-211110000i3i3−i3−i3−i3−i3i3i3-1-1-211-2-200i3i3−i3−i300−i3−i3i3i3211-1-100000022-1-2-1112-1-1222-1-1-2-211110000i3i3−i3−i3−i3−i3i3i3-1-1-211-2-200i3i3−i3−i300−i3−i3i3i3211-1-1000000
χ1722-1-2-1112-1-1222-1-1-2-2111122-2-2-1-1-1-11111-1-1-2112222-1-1-1-1-2-21111-2-1-11100000022-1-2-1112-1-1222-1-1-2-2111122-2-2-1-1-1-11111-1-1-2112222-1-1-1-1-2-21111-2-1-111000000
χ1822-1-2-1112-1-1222-1-1-2-21111-2-2221111-1-1-1-1-1-1-21122-2-2111122-1-1-1-1-2-1-11100000022-1-2-1112-1-1222-1-1-2-21111-2-2221111-1-1-1-1-1-1-21122-2-2111122-1-1-1-1-2-1-111000000
χ192-220-2002222-2-2-2-2000000002i−2i00002i−2i2i−2i2-20002-20000002i−2i2i−2i2i−2i02-2000000002-220-2002222-2-2-2-2000000002i−2i00002i−2i2i−2i2-20002-20000002i−2i2i−2i2i−2i02-200000000
χ202-220-2002222-2-2-2-200000000−2i2i0000−2i2i−2i2i2-20002-2000000−2i2i−2i2i−2i2i02-2000000002-220-2002222-2-2-2-200000000−2i2i0000−2i2i−2i2i2-20002-2000000−2i2i−2i2i−2i2i02-200000000
χ212-220-2002222-2-2-2-20000002-2002-22-200002-2000-222-22-22-20000000-22000000002-220-2002222-2-2-2-20000002-2002-22-200002-2000-222-22-22-20000000-2200000000
χ222-220-2002222-2-2-2-2000000-2200-22-2200002-2000-22-22-22-220000000-22000000002-220-2002222-2-2-2-2000000-2200-22-2200002-2000-22-22-22-220000000-2200000000
χ232-2-1013−32-1-12-2-2110033−3−3002i−2i−i3i3i3−i3−ii−ii-1103−32-200−i3i3i3−i32i−2i−ii−ii0-113−30000002-2-1013−32-1-12-2-2110033−3−3002i−2i−i3i3i3−i3−ii−ii-1103−32-200−i3i3i3−i32i−2i−ii−ii0-113−3000000
χ242-2-1013−32-1-12-2-2110033−3−300−2i2ii3−i3−i3i3i−ii−i-1103−32-200i3−i3−i3i3−2i2ii−ii−i0-113−30000002-2-1013−32-1-12-2-2110033−3−300−2i2ii3−i3−i3i3i−ii−i-1103−32-200i3−i3−i3i3−2i2ii−ii−i0-113−3000000
χ252-2-1013−32-1-12-2-2110033−3−32-200-11-113−3−33-1103−3-222-2-11-11003−3−3301-1−330000002-2-1013−32-1-12-2-2110033−3−32-200-11-113−3−33-1103−3-222-2-11-11003−3−3301-1−33000000
χ262-2-1013−32-1-12-2-2110033−3−3-22001-11-1−333−3-1103−3-22-221-11-100−333−301-1−330000002-2-1013−32-1-12-2-2110033−3−3-22001-11-1−333−3-1103−3-22-221-11-100−333−301-1−33000000
χ272-2-101−332-1-12-2-21100−3−333002i−2ii3−i3−i3i3−ii−ii-110−332-200i3−i3−i3i32i−2i−ii−ii0-11−330000002-2-101−332-1-12-2-21100−3−333002i−2ii3−i3−i3i3−ii−ii-110−332-200i3−i3−i3i32i−2i−ii−ii0-11−33000000
χ282-2-101−332-1-12-2-21100−3−33300−2i2i−i3i3i3−i3i−ii−i-110−332-200−i3i3i3−i3−2i2ii−ii−i0-11−330000002-2-101−332-1-12-2-21100−3−33300−2i2i−i3i3i3−i3i−ii−i-110−332-200−i3i3i3−i3−2i2ii−ii−i0-11−33000000
χ292-2-101−332-1-12-2-21100−3−3332-200-11-11−333−3-110−33-222-2-11-1100−333−301-13−30000002-2-101−332-1-12-2-21100−3−3332-200-11-11−333−3-110−33-222-2-11-1100−333−301-13−3000000
χ302-2-101−332-1-12-2-21100−3−333-22001-11-13−3−33-110−33-22-221-11-1003−3−3301-13−30000002-2-101−332-1-12-2-21100−3−333-22001-11-13−3−33-110−33-22-221-11-1003−3−3301-13−3000000
χ314444444111-2-2111111111222222222222-2-2-2-2-200-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444111-2-2111111111222222222222-2-2-2-2-200-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ324444444111-2-2111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200111111111111000000000004444444111-2-2111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20011111111111100000000000
χ334444444-2-2-211-2-2-2-2-2-2-2-2-200000000000011111000000000000000000022-1-1004444444-2-2-211-2-2-2-2-2-2-2-2-200000000000011111000000000000000000022-1-100
χ344444444-2-2-211-2-2-2-2-2-2-2-2-2000000000000111110000000000000000000-2-211004444444-2-2-211-2-2-2-2-2-2-2-2-2000000000000111110000000000000000000-2-21100
χ35444-44-4-4111-2-2111-1-1-1-1-1-122-2-22222-2-2-2-2-2-222200-1-1-1-1-1-111111100000000000444-44-4-4111-2-2111-1-1-1-1-1-122-2-22222-2-2-2-2-2-222200-1-1-1-1-1-111111100000000000
χ36444-44-4-4111-2-2111-1-1-1-1-1-1-2-222-2-2-2-22222-2-222200111111-1-1-1-1-1-100000000000444-44-4-4111-2-2111-1-1-1-1-1-1-2-222-2-2-2-22222-2-222200111111-1-1-1-1-1-100000000000
χ37444-44-4-4-2-2-211-2-2-222222200000000000011-1-1-100000000000000000002-2-1100444-44-4-4-2-2-211-2-2-222222200000000000011-1-1-100000000000000000002-2-1100
χ38444-44-4-4-2-2-211-2-2-222222200000000000011-1-1-10000000000000000000-221-100444-44-4-4-2-2-211-2-2-222222200000000000011-1-1-10000000000000000000-221-100
χ3944-24-2-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i322222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i311-21100-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i320000000000044-24-2-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i322222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i311-21100-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3200000000000
χ4044-24-2-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-21+i31+i31−i31−i31+i31+i31−i31−i311-2110011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i320000000000044-24-2-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-21+i31+i31−i31−i31+i31+i31−i31−i311-2110011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3200000000000
χ4144-24-2-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i322222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i311-21100-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i320000000000044-24-2-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i322222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i311-21100-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3200000000000
χ4244-24-2-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-21−i31−i31+i31+i31−i31−i31+i31+i311-2110011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i320000000000044-24-2-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-21−i31−i31+i31+i31−i31−i31+i31+i311-2110011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3200000000000
χ4344-2-4-2221−1−3i32−1+3i32-2-21−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i3222-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3112-1-100-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i320000000000044-2-4-2221−1−3i32−1+3i32-2-21−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i3222-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3112-1-100-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3200000000000
χ4444-2-4-2221−1−3i32−1+3i32-2-21−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32-2-2221+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3112-1-10011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i320000000000044-2-4-2221−1−3i32−1+3i32-2-21−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32-2-2221+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3112-1-10011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3200000000000
χ4544-2-4-2221−1+3i32−1−3i32-2-21−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i3222-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3112-1-100-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i320000000000044-2-4-2221−1+3i32−1−3i32-2-21−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i3222-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3112-1-100-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3200000000000
χ4644-2-4-2221−1+3i32−1−3i32-2-21−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32-2-2221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3112-1-10011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i320000000000044-2-4-2221−1+3i32−1−3i32-2-21−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32-2-2221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3112-1-10011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3200000000000
χ474-440-400111-22-1-1-13i−3i3i−3i−3i3i2-22i−2i2-22-22i−2i2i−2i-2200000-11-11-11−ii−ii−ii000000000004-440-400111-22-1-1-13i−3i3i−3i−3i3i2-22i−2i2-22-22i−2i2i−2i-2200000-11-11-11−ii−ii−ii00000000000
χ484-440-400111-22-1-1-13i−3i3i−3i−3i3i-22−2i2i-22-22−2i2i−2i2i-22000001-11-11-1i−ii−ii−i000000000004-440-400111-22-1-1-13i−3i3i−3i−3i3i-22−2i2i-22-22−2i2i−2i2i-22000001-11-11-1i−ii−ii−i00000000000
χ494-440-400111-22-1-1-1−3i3i−3i3i3i−3i2-2−2i2i2-22-2−2i2i−2i2i-2200000-11-11-11i−ii−ii−i000000000004-440-400111-22-1-1-1−3i3i−3i3i3i−3i2-2−2i2i2-22-2−2i2i−2i2i-2200000-11-11-11i−ii−ii−i00000000000
χ504-440-400111-22-1-1-1−3i3i−3i3i3i−3i-222i−2i-22-222i−2i2i−2i-22000001-11-11-1−ii−ii−ii000000000004-440-400111-22-1-1-1−3i3i−3i3i3i−3i-222i−2i-22-222i−2i2i−2i-22000001-11-11-1−ii−ii−ii00000000000
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χ10344-24-2-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-21+i31+i31−i31−i31+i31+i31−i31−i311-2110011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3200000000000-4-42-4222-11+3i321−3i3222-11+3i321−3i32-1-11+3i321−3i321+3i321−3i322222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-12-1-100-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3200000000000
χ10444-24-2-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i322222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i311-21100-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3200000000000-4-42-4222-11−3i321+3i3222-11−3i321+3i32-1-11−3i321+3i321−3i321+3i32-2-2-2-21−i31−i31+i31+i31−i31−i31+i31+i3-1-12-1-10011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3200000000000
χ10544-24-2-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-21−i31−i31+i31+i31−i31−i31+i31+i311-2110011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3200000000000-4-42-4222-11−3i321+3i3222-11−3i321+3i32-1-11−3i321+3i321−3i321+3i322222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-12-1-100-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3200000000000
χ10644-2-4-2221−1−3i32−1+3i32-2-21−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i3222-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3112-1-100-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3200000000000-4-4242-2-2-11+3i321−3i3222-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-2221+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-1-1-2110011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3200000000000
χ10744-2-4-2221−1−3i32−1+3i32-2-21−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32-2-2221+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3112-1-10011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3200000000000-4-4242-2-2-11+3i321−3i3222-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i3222-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-1-1-21100-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3200000000000
χ10844-2-4-2221−1+3i32−1−3i32-2-21−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i3222-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3112-1-100-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3200000000000-4-4242-2-2-11−3i321+3i3222-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-2221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-1-1-2110011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3200000000000
χ10944-2-4-2221−1+3i32−1−3i32-2-21−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32-2-2221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3112-1-10011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3200000000000-4-4242-2-2-11−3i321+3i3222-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i3222-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-1-1-21100-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3200000000000
χ1104-440-400111-22-1-1-13i−3i3i−3i−3i3i2-22i−2i2-22-22i−2i2i−2i-2200000-11-11-11−ii−ii−ii00000000000-44-40400-1-1-12-2111−3i3i−3i3i3i−3i-22−2i2i-22-22−2i2i−2i2i2-2000001-11-11-1i−ii−ii−i00000000000
χ1114-440-400111-22-1-1-13i−3i3i−3i−3i3i-22−2i2i-22-22−2i2i−2i2i-22000001-11-11-1i−ii−ii−i00000000000-44-40400-1-1-12-2111−3i3i−3i3i3i−3i2-22i−2i2-22-22i−2i2i−2i2-200000-11-11-11−ii−ii−ii00000000000
χ1124-440-400111-22-1-1-1−3i3i−3i3i3i−3i2-2−2i2i2-22-2−2i2i−2i2i-2200000-11-11-11i−ii−ii−i00000000000-44-40400-1-1-12-21113i−3i3i−3i−3i3i-222i−2i-22-222i−2i2i−2i2-2000001-11-11-1−ii−ii−ii00000000000
χ1134-440-400111-22-1-1-1−3i3i−3i3i3i−3i-222i−2i-22-222i−2i2i−2i-22000001-11-11-1−ii−ii−ii00000000000-44-40400-1-1-12-21113i−3i3i−3i−3i3i2-2−2i2i2-22-2−2i2i−2i2i2-200000-11-11-11i−ii−ii−i00000000000
χ1144-4-20223−231−1−3i32−1+3i32-22-11+3i321−3i323i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ112-22i−2i−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ71-10−3300-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ700000000000-4420-2−2323-11+3i321−3i322-21−1−3i32−1+3i32−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11-22−2i2i1+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ7-1103−3001-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ700000000000
χ1154-4-20223−231−1−3i32−1+3i32-22-11+3i321−3i323i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11-22−2i2i1+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ71-10−33001-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ700000000000-4420-2−2323-11+3i321−3i322-21−1−3i32−1+3i32−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ112-22i−2i−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ7-1103−300-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ700000000000
χ1164-4-20223−231−1+3i32−1−3i32-22-11−3i321+3i32−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ112-2−2i2i−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ111-10−3300-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ1100000000000-4420-2−2323-11−3i321+3i322-21−1+3i32−1−3i323i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11-222i−2i1−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ11-1103−3001-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ1100000000000
χ1174-4-20223−231−1+3i32−1−3i32-22-11−3i321+3i32−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11-222i−2i1−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ111-10−33001-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ1100000000000-4420-2−2323-11−3i321+3i322-21−1+3i32−1−3i323i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ112-2−2i2i−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ11-1103−300-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ1100000000000
χ1184-4-202−23231−1−3i32−1+3i32-22-11+3i321−3i32−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ112-2−2i2i−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ71-103−300-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ700000000000-4420-223−23-11+3i321−3i322-21−1−3i32−1+3i323i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11-222i−2i1+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ7-110−33001-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ700000000000
χ1194-4-202−23231−1−3i32−1+3i32-22-11+3i321−3i32−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11-222i−2i1+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ71-103−3001-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ700000000000-4420-223−23-11+3i321−3i322-21−1−3i32−1+3i323i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ112-2−2i2i−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ7-110−3300-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ700000000000
χ1204-4-202−23231−1+3i32−1−3i32-22-11−3i321+3i323i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ112-22i−2i−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ111-103−300-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ1100000000000-4420-223−23-11−3i321+3i322-21−1+3i32−1−3i32−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11-22−2i2i1−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ11-110−33001-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ1100000000000
χ1214-4-202−23231−1+3i32−1−3i32-22-11−3i321+3i323i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11-22−2i2i1−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ111-103−3001-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ1100000000000-4420-223−23-11−3i321+3i322-21−1+3i32−1−3i32−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ112-22i−2i−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ11-110−3300-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ1100000000000
χ12288-48-4-4-4-42222-422-4-42222000000000000-1-12-1-10000000000000000000000000-8-84-84444-2-2-2-24-2-244-2-2-2-200000000000011-2110000000000000000000000000
χ12388-4-8-444-42222-42244-2-2-2-2000000000000-1-1-2110000000000000000000000000-8-8484-4-44-2-2-2-24-2-2-4-42222000000000000112-1-10000000000000000000000000
χ1248-880-800-4-4-42-24440000000000000000002-20000000000000000000000000000-88-80800444-22-4-4-4000000000000000000-220000000000000000000000000000
χ1258-8-40443−43-4222-24-2-200−23−232323000000000000-1103−30000000000000000000000000-8840-4−43434-2-2-22-422002323−23−230000000000001-10−330000000000000000000000000
χ1268-8-404−4343-4222-24-2-2002323−23−23000000000000-110−330000000000000000000000000-8840-443−434-2-2-22-42200−23−2323230000000000001-103−30000000000000000000000000

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