Finite Group Databasebeta

← Group #13166708

Character table — Group #13166708

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122444444448888181818181818181818181818242424242424242424242424111122444444448888181818181818181818181818242424242424242424242424111122444444448888181818181818181818181818242424242424242424242424
order12224433666666121212124444888888882244666612121212366612123366666612121212121212122424242424242424661212666612121212366612123366666612121212121212122424242424242424661212666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-11111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-11111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1
χ61111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111
χ71111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ9222222222222222222-2-2-2-200000000000000000000222222222222222222-2-2-2-200000000000000000000222222222222222222-2-2-2-200000000000000000000
χ102222-2-222222222-2-2-2-222-2-2000000000000000000002222-2-222222222-2-2-2-222-2-2000000000000000000002222-2-222222222-2-2-2-222-2-200000000000000000000
χ1122-2-22-222-2-2-222-222-2-20000−i2−i2i2i2−i2−i2i2i200000000000022-2-22-222-2-2-222-222-2-20000−i2−i2i2i2−i2−i2i2i200000000000022-2-22-222-2-2-222-222-2-20000−i2−i2i2i2−i2−i2i2i2000000000000
χ1222-2-22-222-2-2-222-222-2-20000i2i2−i2−i2i2i2−i2−i200000000000022-2-22-222-2-2-222-222-2-20000i2i2−i2−i2i2i2−i2−i200000000000022-2-22-222-2-2-222-222-2-20000i2i2−i2−i2i2i2−i2−i2000000000000
χ1322-2-2-2222-2-2-222-2-2-2220000−i2−i2i2i2i2i2−i2−i200000000000022-2-2-2222-2-2-222-2-2-2220000−i2−i2i2i2i2i2−i2−i200000000000022-2-2-2222-2-2-222-2-2-2220000−i2−i2i2i2i2i2−i2−i2000000000000
χ1422-2-2-2222-2-2-222-2-2-2220000i2i2−i2−i2−i2−i2i2i200000000000022-2-2-2222-2-2-222-2-2-2220000i2i2−i2−i2−i2−i2i2i200000000000022-2-2-2222-2-2-222-2-2-2220000i2i2−i2−i2−i2−i2i2i2000000000000
χ152-22-2002222-2-2-2-20000002-200002i−2i2i−2i0000000000002-22-2002222-2-2-2-20000002-200002i−2i2i−2i0000000000002-22-2002222-2-2-2-20000002-200002i−2i2i−2i000000000000
χ162-22-2002222-2-2-2-20000002-20000−2i2i−2i2i0000000000002-22-2002222-2-2-2-20000002-20000−2i2i−2i2i0000000000002-22-2002222-2-2-2-20000002-20000−2i2i−2i2i000000000000
χ172-22-2002222-2-2-2-2000000-222i−2i2i−2i00000000000000002-22-2002222-2-2-2-2000000-222i−2i2i−2i00000000000000002-22-2002222-2-2-2-2000000-222i−2i2i−2i0000000000000000
χ182-22-2002222-2-2-2-2000000-22−2i2i−2i2i00000000000000002-22-2002222-2-2-2-2000000-22−2i2i−2i2i00000000000000002-22-2002222-2-2-2-2000000-22−2i2i−2i2i0000000000000000
χ192-2-220022-2-22-2-2200002-2002−2−222−2−220000000000002-2-220022-2-22-2-2200002-2002−2−222−2−220000000000002-2-220022-2-22-2-2200002-2002−2−222−2−22000000000000
χ202-2-220022-2-22-2-2200002-200−222−2−222−20000000000002-2-220022-2-22-2-2200002-200−222−2−222−20000000000002-2-220022-2-22-2-2200002-200−222−2−222−2000000000000
χ212-2-220022-2-22-2-220000-22002−2−22−222−20000000000002-2-220022-2-22-2-220000-22002−2−22−222−20000000000002-2-220022-2-22-2-220000-22002−2−22−222−2000000000000
χ222-2-220022-2-22-2-220000-2200−222−22−2−220000000000002-2-220022-2-22-2-220000-2200−222−22−2−220000000000002-2-220022-2-22-2-220000-2200−222−22−2−22000000000000
χ234444441-21-2-21-211-21-200000000000000220000-1-1-1-14444441-21-2-21-211-21-200000000000000220000-1-1-1-14444441-21-2-21-211-21-200000000000000220000-1-1-1-1
χ244444441-21-2-21-211-21-200000000000000-2-2000011114444441-21-2-21-211-21-200000000000000-2-2000011114444441-21-2-21-211-21-200000000000000-2-200001111
χ25444444-21-211-21-2-21-210000000000002200-1-1-1-10000444444-21-211-21-2-21-210000000000002200-1-1-1-10000444444-21-211-21-2-21-210000000000002200-1-1-1-10000
χ26444444-21-211-21-2-21-21000000000000-2-20011110000444444-21-211-21-2-21-21000000000000-2-20011110000444444-21-211-21-2-21-21000000000000-2-20011110000
χ274444-4-41-21-2-21-21-12-12000000000000002-20000-1-1114444-4-41-21-2-21-21-12-12000000000000002-20000-1-1114444-4-41-21-2-21-21-12-12000000000000002-20000-1-111
χ284444-4-41-21-2-21-21-12-1200000000000000-22000011-1-14444-4-41-21-2-21-21-12-1200000000000000-22000011-1-14444-4-41-21-2-21-21-12-1200000000000000-22000011-1-1
χ294444-4-4-21-211-21-22-12-10000000000002-200-1-11100004444-4-4-21-211-21-22-12-10000000000002-200-1-11100004444-4-4-21-211-21-22-12-10000000000002-200-1-1110000
χ304444-4-4-21-211-21-22-12-1000000000000-220011-1-100004444-4-4-21-211-21-22-12-1000000000000-220011-1-100004444-4-4-21-211-21-22-12-1000000000000-220011-1-10000
χ3144-4-44-41-2-1221-2-11-2-12000000000000000000003−33−344-4-44-41-2-1221-2-11-2-12000000000000000000003−33−344-4-44-41-2-1221-2-11-2-12000000000000000000003−33−3
χ3244-4-44-41-2-1221-2-11-2-1200000000000000000000−33−3344-4-44-41-2-1221-2-11-2-1200000000000000000000−33−3344-4-44-41-2-1221-2-11-2-1200000000000000000000−33−33
χ3344-4-44-4-212-1-1-212-212-10000000000000000−i3i3−i3i3000044-4-44-4-212-1-1-212-212-10000000000000000−i3i3−i3i3000044-4-44-4-212-1-1-212-212-10000000000000000−i3i3−i3i30000
χ3444-4-44-4-212-1-1-212-212-10000000000000000i3−i3i3−i3000044-4-44-4-212-1-1-212-212-10000000000000000i3−i3i3−i3000044-4-44-4-212-1-1-212-212-10000000000000000i3−i3i3−i30000
χ3544-4-4-441-2-1221-2-1-121-2000000000000000000003−3−3344-4-4-441-2-1221-2-1-121-2000000000000000000003−3−3344-4-4-441-2-1221-2-1-121-2000000000000000000003−3−33
χ3644-4-4-441-2-1221-2-1-121-200000000000000000000−333−344-4-4-441-2-1221-2-1-121-200000000000000000000−333−344-4-4-441-2-1221-2-1-121-200000000000000000000−333−3
χ3744-4-4-44-212-1-1-2122-1-210000000000000000−i3i3i3−i3000044-4-4-44-212-1-1-2122-1-210000000000000000−i3i3i3−i3000044-4-4-44-212-1-1-2122-1-210000000000000000−i3i3i3−i30000
χ3844-4-4-44-212-1-1-2122-1-210000000000000000i3−i3−i3i3000044-4-4-44-212-1-1-2122-1-210000000000000000i3−i3−i3i3000044-4-4-44-212-1-1-2122-1-210000000000000000i3−i3−i3i30000
χ398-88-8002-42-44-24-200000000000000000000000000008-88-8002-42-44-24-200000000000000000000000000008-88-8002-42-44-24-20000000000000000000000000000
χ408-88-800-42-42-24-2400000000000000000000000000008-88-800-42-42-24-2400000000000000000000000000008-88-800-42-42-24-240000000000000000000000000000
χ418-8-88002-4-24-4-24200000000000000000000000000008-8-88002-4-24-4-24200000000000000000000000000008-8-88002-4-24-4-2420000000000000000000000000000
χ428-8-8800-424-224-2-400000000000000000000000000008-8-8800-424-224-2-400000000000000000000000000008-8-8800-424-224-2-40000000000000000000000000000
χ43111111111111111111111111111111111111111111−1+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+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−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−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
χ44111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ451111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ461111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ471111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ481111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ491111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ501111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ51222222222222222222-2-2-2-200000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000000000
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χ1134444-4-4-21-211-21-22-12-10000000000002-200-1-1110000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i3−1−i31+i32−1−i31+i32000000000000−1−i31+i3001+i321+i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i3−1+i31−i32−1+i31−i32000000000000−1+i31−i3001−i321−i32−1+i32−1+i320000
χ1144444-4-4-21-211-21-22-12-1000000000000-220011-1-10000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i3−1−i31+i32−1−i31+i320000000000001+i3−1−i300−1−i32−1−i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i3−1+i31−i32−1+i31−i320000000000001−i3−1+i300−1+i32−1+i321−i321−i320000
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χ11644-4-44-41-2-1221-2-11-2-1200000000000000000000−33−33−2−2i3−2−2i32+2i32+2i3−2−2i32+2i3−1−i321+i31+i32−1−i3−1−i3−1−i321+i31+i32−1−i321+i31+i32−1−i300000000000000000000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2+2i3−2+2i32−2i32−2i3−2+2i32−2i3−1+i321−i31−i32−1+i3−1+i3−1+i321−i31−i32−1+i321−i31−i32−1+i300000000000000000000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22
χ11744-4-44-4-212-1-1-212-212-10000000000000000−i3i3−i3i30000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i3−1−i32−1−i31+i321+i321+i3−1−i32−1−i31+i3−1−i32−1−i31+i320000000000000000−3+i323−i32−3+i323−i320000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i3−1+i32−1+i31−i321−i321−i3−1+i32−1+i31−i3−1+i32−1+i31−i3200000000000000003+i32−3−i323+i32−3−i320000
χ11844-4-44-4-212-1-1-212-212-10000000000000000i3−i3i3−i30000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i3−1−i32−1−i31+i321+i321+i3−1−i32−1−i31+i3−1−i32−1−i31+i3200000000000000003−i32−3+i323−i32−3+i320000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i3−1+i32−1+i31−i321−i321−i3−1+i32−1+i31−i3−1+i32−1+i31−i320000000000000000−3−i323+i32−3−i323+i320000
χ11944-4-4-441-2-1221-2-1-121-2000000000000000000003−3−33−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−1−i321+i31+i32−1−i3−1−i3−1−i321+i31+i321+i32−1−i3−1−i321+i3000000000000000000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−1+i321−i31−i32−1+i3−1+i3−1+i321−i31−i321−i32−1+i3−1+i321−i300000000000000000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22
χ12044-4-4-441-2-1221-2-1-121-200000000000000000000−333−3−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−1−i321+i31+i32−1−i3−1−i3−1−i321+i31+i321+i32−1−i3−1−i321+i300000000000000000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−1+i321−i31−i32−1+i3−1+i3−1+i321−i31−i321−i32−1+i3−1+i321−i300000000000000000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22
χ12144-4-4-44-212-1-1-2122-1-210000000000000000−i3i3i3−i30000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i31+i3−1−i32−1−i31+i321+i321+i3−1−i32−1−i3−1−i31+i321+i3−1−i320000000000000000−3+i323−i323−i32−3+i320000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i31−i3−1+i32−1+i31−i321−i321−i3−1+i32−1+i3−1+i31−i321−i3−1+i3200000000000000003+i32−3−i32−3−i323+i320000
χ12244-4-4-44-212-1-1-2122-1-210000000000000000i3−i3−i3i30000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i31+i3−1−i32−1−i31+i321+i321+i3−1−i32−1−i3−1−i31+i321+i3−1−i3200000000000000003−i32−3+i32−3+i323−i320000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i31−i3−1+i32−1+i31−i321−i321−i3−1+i32−1+i3−1+i31−i321−i3−1+i320000000000000000−3−i323+i323+i32−3−i320000
χ1238-88-8002-42-44-24-20000000000000000000000000000−4−4i34+4i3−4−4i34+4i300−1−i32+2i3−1−i32+2i3−2−2i31+i3−2−2i31+i30000000000000000000000000000−4+4i34−4i3−4+4i34−4i300−1+i32−2i3−1+i32−2i3−2+2i31−i3−2+2i31−i30000000000000000000000000000
χ1248-88-800-42-42-24-240000000000000000000000000000−4−4i34+4i3−4−4i34+4i3002+2i3−1−i32+2i3−1−i31+i3−2−2i31+i3−2−2i30000000000000000000000000000−4+4i34−4i3−4+4i34−4i3002−2i3−1+i32−2i3−1+i31−i3−2+2i31−i3−2+2i30000000000000000000000000000
χ1258-8-88002-4-24-4-2420000000000000000000000000000−4−4i34+4i34+4i3−4−4i300−1−i32+2i31+i3−2−2i32+2i31+i3−2−2i3−1−i30000000000000000000000000000−4+4i34−4i34−4i3−4+4i300−1+i32−2i31−i3−2+2i32−2i31−i3−2+2i3−1+i30000000000000000000000000000
χ1268-8-8800-424-224-2-40000000000000000000000000000−4−4i34+4i34+4i3−4−4i3002+2i3−1−i3−2−2i31+i3−1−i3−2−2i31+i32+2i30000000000000000000000000000−4+4i34−4i34−4i3−4+4i3002−2i3−1+i3−2+2i31−i3−1+i3−2+2i31−i32−2i30000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.