Finite Group Databasebeta

← Group #13161564

Character table — Group #13161564

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order12223334466666666633333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212226666444888812121212121224242424242424244412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ511111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-1-11-1-111
χ811111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111111-111-1-1
χ92222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-20000000000000000000022222200-20000-2-2000000000000000000
χ102222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2002000022000000000000000000
χ11222222-1222-1222-122-12-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-12-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12220000-1-1-1-1-1-100000000000000
χ12222222-1222-1222-122-12-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-12-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2000011111100000000000000
χ13222222-1222-1222-122-12-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-12-1-12111122-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-1-1-1-1-2-220000-1-1111100000000000000
χ14222222-1222-1222-122-12-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-12-1-12111122-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2111122-2000011-1-1-1-100000000000000
χ15222222-1-2-22-1222-122-12-1-1-1-1002-1-1-1-12-1-1-1-12-1-1-1-1-211-2−i3−i3i3i3-2-20000-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i322-1-1-1-100-2000011−i3−i3i3i300000000000000
χ16222222-1-2-22-1222-122-12-1-1-1-1002-1-1-1-12-1-1-1-12-1-1-1-1-211-2−i3−i3i3i3-2-20000-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-211110020000-1-1i3i3−i3−i300000000000000
χ17222222-1-2-22-1222-122-12-1-1-1-1002-1-1-1-12-1-1-1-12-1-1-1-1-211-2i3i3−i3−i3-2-20000-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i322-1-1-1-100-2000011i3i3−i3−i300000000000000
χ18222222-1-2-22-1222-122-12-1-1-1-1002-1-1-1-12-1-1-1-12-1-1-1-1-211-2i3i3−i3−i3-2-20000-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-211110020000-1-1−i3−i3i3i300000000000000
χ1922222-122222-12-12-122-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-1-12222222-1222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000002200000000-1-1-1-1000020-1-100
χ2022222-122222-12-12-122-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-1-12222222-1222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000-2-20000000011110000-201100
χ2122222-122222-12-12-122-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1-1222-2-2-2-2-12-2-211-1-122-1-1-1-1-1-11111-2-2111111-2-21111110000000002200000000-1-1-1-10000-201100
χ2222222-122222-12-12-122-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1-1222-2-2-2-2-12-2-211-1-122-1-1-1-1-1-11111-2-2111111-2-2111111000000000-2-2000000001111000020-1-100
χ232222-12222-122-1222-12-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1222-122222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000220000000000-1-1-1-10200-1-1
χ242222-12222-122-1222-12-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1222-122222-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000-2-2000000000011110-20011
χ252222-12222-122-1222-12-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1222-1-2-2-2-22-111-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-2111100000000000220000000000-1-1-1-10-20011
χ262222-12222-122-1222-12-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1222-1-2-2-2-22-111-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-2111100000000000-2-2000000000011110200-1-1
χ272-22-222200-2-2-222-2-2-222222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000002-222-2-2000−i2i2−i2i2000000−i2−i2i2i2−i2−i2i2i2000000
χ282-22-222200-2-2-222-2-2-222222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000002-222-2-2000i2−i2i2−i2000000i2i2−i2−i2i2i2−i2−i2000000
χ292-22-222200-2-2-222-2-2-222222200-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000-22-2-222000−i2i2i2−i2000000−i2−i2i2i2i2i2−i2−i2000000
χ302-22-222200-2-2-222-2-2-222222200-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000-22-2-222000i2−i2−i2i2000000i2i2−i2−i2−i2−i2i2i2000000
χ312-2-222222-2-2-22-2-22-22-22222200-2-2-2-2-222222-2-2-2-2-222-2-20000-2200002-22-22-222-2-2000000000000000000000000002i−2i00000002i−2i2i−2i00000000000000
χ322-2-222222-2-2-22-2-22-22-22222200-2-2-2-2-222222-2-2-2-2-222-2-20000-2200002-22-22-222-2-200000000000000000000000000−2i2i0000000−2i2i−2i2i00000000000000
χ332-2-22222-22-2-22-2-22-22-2222222i−2i-2-2-2-2-222222-2-2-2-2-2-2-2222i−2i2i−2i2-22i−2i2i−2i-22-22-22-2-2222i2i−2i−2i2i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000
χ342-2-22222-22-2-22-2-22-22-222222−2i2i-2-2-2-2-222222-2-2-2-2-2-2-222−2i2i−2i2i2-2−2i2i−2i2i-22-22-22-2-222−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000
χ352-2-2222-12-2-212-2-2-1-2212-1-1-1-100-211112-1-1-1-1-211112-11-23−3−33-2200002-2-11-11-1-11100003−33−333−3−3−33−33−3−33300−i3i3−i3i32i−2i00000−i3i3−ii−ii00000000000000
χ362-2-2222-12-2-212-2-2-1-2212-1-1-1-100-211112-1-1-1-1-211112-11-23−3−33-2200002-2-11-11-1-11100003−33−333−3−3−33−33−3−33300i3−i3i3−i3−2i2i00000i3−i3i−ii−i00000000000000
χ372-2-2222-12-2-212-2-2-1-2212-1-1-1-100-211112-1-1-1-1-211112-11-2−333−3-2200002-2-11-11-1-1110000−33−33−3−3333−33−333−3−300−i3i3−i3i3−2i2i00000−i3i3i−ii−i00000000000000
χ382-2-2222-12-2-212-2-2-1-2212-1-1-1-100-211112-1-1-1-1-211112-11-2−333−3-2200002-2-11-11-1-1110000−33−33−3−3333−33−333−3−300i3−i3i3−i32i−2i00000i3−i3−ii−ii00000000000000
χ392-2-2222-1-22-212-2-2-1-2212-1-1-1-12i−2i-211112-1-1-1-1-21111-21-12−ii−ii2-22i−2i2i−2i-221-11-111-1-12i2i−2i−2i−ii−ii−i−iii−ii−ii−i−iii00−i3i3−i3i30000000i3−i33−3−3300000000000000
χ402-2-2222-1-22-212-2-2-1-2212-1-1-1-12i−2i-211112-1-1-1-1-21111-21-12−ii−ii2-22i−2i2i−2i-221-11-111-1-12i2i−2i−2i−ii−ii−i−iii−ii−ii−i−iii00i3−i3i3−i30000000−i3i3−333−300000000000000
χ412-2-2222-1-22-212-2-2-1-2212-1-1-1-1−2i2i-211112-1-1-1-1-21111-21-12i−ii−i2-2−2i2i−2i2i-221-11-111-1-1−2i−2i2i2ii−ii−iii−i−ii−ii−iii−i−i00−i3i3−i3i30000000i3−i3−333−300000000000000
χ422-2-2222-1-22-212-2-2-1-2212-1-1-1-1−2i2i-211112-1-1-1-1-21111-21-12i−ii−i2-2−2i2i−2i2i-221-11-111-1-1−2i−2i2i2ii−ii−iii−i−ii−ii−iii−i−i00i3−i3i3−i30000000−i3i33−3−3300000000000000
χ432-2-222-12-22-2-2-1-21212-2-12-1-1-12i−2i1-2111-12-1-1-11-21111-2222i−2i2i−2i-1-22i−2i−ii1-1-221-111-1-1−i−iii2i−2i−ii−i−iii2i−2i−ii−i−iii0000000000000000000−i3i3−i3i30000003−300
χ442-2-222-12-22-2-2-1-21212-2-12-1-1-12i−2i1-2111-12-1-1-11-21111-2222i−2i2i−2i-1-22i−2i−ii1-1-221-111-1-1−i−iii2i−2i−ii−i−iii2i−2i−ii−i−iii0000000000000000000i3−i3i3−i3000000−3300
χ452-2-222-12-22-2-2-1-21212-2-12-1-1-1−2i2i1-2111-12-1-1-11-21111-222−2i2i−2i2i-1-2−2i2ii−i1-1-221-111-1-1ii−i−i−2i2ii−iii−i−i−2i2ii−iii−i−i0000000000000000000−i3i3−i3i3000000−3300
χ462-2-222-12-22-2-2-1-21212-2-12-1-1-1−2i2i1-2111-12-1-1-11-21111-222−2i2i−2i2i-1-2−2i2ii−i1-1-221-111-1-1ii−i−i−2i2ii−iii−i−i−2i2ii−iii−i−i0000000000000000000i3−i3i3−i30000003−300
χ472-2-22-122-221-221-22-2-1-2-1-12-1-12i−2i11-211-1-12-1-111-211-2-22-12i−2i2i−2i21−ii2i−2i1-11-1-2211-1-1−i−iii−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000000000000003−33−30000−i3i3
χ482-2-22-122-221-221-22-2-1-2-1-12-1-12i−2i11-211-1-12-1-111-211-2-22-12i−2i2i−2i21−ii2i−2i1-11-1-2211-1-1−i−iii−ii2i−2i−i−iii−ii2i−2i−i−iii00000000000000000000000−33−330000i3−i3
χ492-2-22-122-221-221-22-2-1-2-1-12-1-1−2i2i11-211-1-12-1-111-211-2-22-1−2i2i−2i2i21i−i−2i2i1-11-1-2211-1-1ii−i−ii−i−2i2iii−i−ii−i−2i2iii−i−i000000000000000000000003−33−30000i3−i3
χ502-2-22-122-221-221-22-2-1-2-1-12-1-1−2i2i11-211-1-12-1-111-211-2-22-1−2i2i−2i2i21i−i−2i2i1-11-1-2211-1-1ii−i−ii−i−2i2iii−i−ii−i−2i2iii−i−i00000000000000000000000−33−330000−i3i3
χ5144444-24-4-444-24-24-244-24-2-2-200-24-2-2-2-24-2-2-2-24-2-2-22-4-4-400002-4000022-4-422222200000000000000000000000000000000000000000000000000000
χ5244444-2-2444-2-24-2-2-24-2-2-211144-2-2111-2-2111-2-2111-2-2-24-2-2-2-2-2444-2-2-2-2-2-2111111-2-2-2-2-2-2111111-2-2111111000000000000000000000000000000000
χ5344444-2-2444-2-24-2-2-24-2-2-2111-4-4-2-2111-2-2111-2-2111-2-2-242222-24-4-422-2-2-2-2111111222222-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000
χ5444444-2-2-4-44-2-24-2-2-24-2-2-211100-2-2111-2-2111-2-2111222-4−2i3−2i32i32i32-400002222-1-1-1-1-1-10000−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i3000000000000000000000000000000000
χ5544444-2-2-4-44-2-24-2-2-24-2-2-211100-2-2111-2-2111-2-2111222-42i32i3−2i3−2i32-400002222-1-1-1-1-1-100002i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i3000000000000000000000000000000000
χ564444-244-4-4-244-2444-24-2-24-2-200-2-24-2-2-2-24-2-2-2-24-2-2-4-4-420000-4200002222-4-4222200000000000000000000000000000000000000000000000000000
χ574444-24-244-2-24-24-24-2-2-21-21144-21-211-21-211-21-2114-2-2-2-2-2-2-24-2-2-244-2-211-2-21111-2-2-2-211-2-2111111-2-21111000000000000000000000000000000000
χ584444-24-244-2-24-24-24-2-2-21-211-4-4-21-211-21-211-21-2114-2-2-222224-222-4-4-2-211-2-211112222-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ594444-24-2-4-4-2-24-24-24-2-2-21-21100-21-211-21-211-21-211-4222−2i3−2i32i32i3-42000022-1-122-1-1-1-10000i3i3−2i3−2i3i3i3i3i3−i3−i32i32i3−i3−i3−i3−i3000000000000000000000000000000000
χ604444-24-2-4-4-2-24-24-24-2-2-21-21100-21-211-21-211-21-211-42222i32i3−2i3−2i3-42000022-1-122-1-1-1-10000−i3−i32i32i3−i3−i3−i3−i3i3i3−2i3−2i3i3i3i3i3000000000000000000000000000000000
χ614444-2-2444-24-2-2-24-2-241-2-211441-2-2111-2-2111-2-211-244-24444-2-2-2-2-2-211-2-2-2-211111111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000
χ624444-2-2444-24-2-2-24-2-241-2-211-4-41-2-2111-2-2111-2-211-244-2-4-4-4-4-2-2222211-2-2-2-21111-1-1-1-12222-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ634444-2-24-4-4-24-2-2-24-2-241-2-211001-2-2111-2-2111-2-2112-4-420000220000-1-12222-1-1-1-13-33-300003-33-300003-33-3000000000000000000000000000000000
χ644444-2-24-4-4-24-2-2-24-2-241-2-211001-2-2111-2-2111-2-2112-4-420000220000-1-12222-1-1-1-1-33-330000-33-330000-33-33000000000000000000000000000000000
χ654444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3211111111−1−3i32−1+3i32−1−3i32−1+3i321111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000
χ664444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-22222-2-22222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000
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χ684444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-22222-2-22222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
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χ724444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i3222222i32i3−2i3−2i3220000-1-1-1-1-1-11−3i321+3i321−3i321+3i323-33-3−i3−i3−i3−i3−3+i323+i32−3+i323+i32i3i3i3i3−3−i323−i32−3−i323−i32000000000000000000000000000000000
χ7344-4-44440044-4-4-4-44-4-4444440044444-4-4-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
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χ7644-4-44-2400442-42-4-2-4-4-24-2-2-200-24-2-2-22-42222-42220000000000000000000000000000000000000000000000000000000000000006−6−660000000000
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χ874-4-444-2-24-4-42-2-42-2242-2-21110022-1-1-1-2-211122-1-1-1-2-22-423−23−2323240000-22-221-111-1-1000023−23−33−3−333−23233−333−3−3000000000000000000000000000000000
χ884-4-444-2-24-4-42-2-42-2242-2-21110022-1-1-1-2-211122-1-1-1-2-22-4−232323−23240000-22-221-111-1-10000−23233−333−3−323−23−33−3−333000000000000000000000000000000000
χ894-4-444-2-2-44-42-2-42-2242-2-21114i−4i22-1-1-1-2-211122-1-1-122-24−2i2i−2i2i-2-44i−4i−2i2i2-22-2-11-1-111−2i−2i2i2i−2i2ii−iii−i−i−2i2ii−iii−i−i000000000000000000000000000000000
χ904-4-444-2-2-44-42-2-42-2242-2-2111−4i4i22-1-1-1-2-211122-1-1-122-242i−2i2i−2i-2-4−4i4i2i−2i2-22-2-11-1-1112i2i−2i−2i2i−2i−ii−i−iii2i−2i−ii−i−iii000000000000000000000000000000000
χ914-4-44-2444-42-442-44-4-2-4-2-24-2-20022-422-2-24-2-222-42244-420000-4-20000-22-224-4-2-22200000000000000000000000000000000000000000000000000000
χ924-4-44-24-24-42242-4-2-4-22-21-211002-12-1-1-21-2112-12-1-14-22223−23−2323-4-20000-221-1-2211-1-10000−3323−23−3−3333−3−232333−3−3000000000000000000000000000000000
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χ944-4-44-24-2-442242-4-2-4-22-21-2114i−4i2-12-1-1-21-2112-12-1-1-42-2-2−2i2i−2i2i42−2i2i4i−4i2-2-112-2-1-111−2i−2i2i2ii−i−2i2iii−i−ii−i−2i2iii−i−i000000000000000000000000000000000
χ954-4-44-24-2-442242-4-2-4-22-21-211−4i4i2-12-1-1-21-2112-12-1-1-42-2-22i−2i2i−2i422i−2i−4i4i2-2-112-2-1-1112i2i−2i−2i−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000000000000000000000000
χ964-4-44-2-244-42-4-22242-2-41-2-21100-122-1-11-2-211-122-1-1-24-4200002-200001-1-22-2211-1-13i−3i−3i3i00003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000
χ974-4-44-2-244-42-4-22242-2-41-2-21100-122-1-11-2-211-122-1-1-24-4200002-200001-1-22-2211-1-1−3i3i3i−3i0000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000
χ984-4-44-2-24-442-4-22242-2-41-2-2114i−4i-122-1-11-2-211-122-1-12-44-24i−4i4i−4i-22−2i2i−2i2i-112-22-2-1-111ii−i−i−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i000000000000000000000000000000000
χ994-4-44-2-24-442-4-22242-2-41-2-211−4i4i-122-1-11-2-211-122-1-12-44-2−4i4i−4i4i-222i−2i2i−2i-112-22-2-1-111−i−iii2i−2i2i−2i−i−iii2i−2i2i−2i−i−iii000000000000000000000000000000000
χ1004-4-44-2-2-24-422-222-22-22111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-2-22223−23−23232-200001-11-11-1−1−3i32−1+3i321+3i321−3i323i−3i−3i3i−33−33ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ223−33−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000000000000
χ1014-4-44-2-2-24-422-222-22-22111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-2-222−232323−232-200001-11-11-1−1−3i32−1+3i321+3i321−3i32−3i3i3i−3i3−33−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−33−33−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000000000000
χ1024-4-44-2-2-24-422-222-22-22111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-2-22223−23−23232-200001-11-11-1−1+3i32−1−3i321−3i321+3i32−3i3i3i−3i−33−33−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ223−33−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000000000000000000000000
χ1034-4-44-2-2-24-422-222-22-22111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-2-222−232323−232-200001-11-11-1−1+3i32−1−3i321−3i321+3i323i−3i−3i3i3−33−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−33−33ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000000000000000000000000
χ1044-4-44-2-2-2-4422-222-22-22111−1−3i32−1+3i324i−4i-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i3222-2-2−2i2i−2i2i-22−2i2i−2i2i-11-11-111+3i321−3i32−1−3i32−1+3i32ii−i−ii−ii−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22i−ii−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22000000000000000000000000000000000
χ1054-4-44-2-2-2-4422-222-22-22111−1−3i32−1+3i32−4i4i-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i3222-2-22i−2i2i−2i-222i−2i2i−2i-11-11-111+3i321−3i32−1−3i32−1+3i32−i−iii−ii−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ22−ii−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ22000000000000000000000000000000000
χ1064-4-44-2-2-2-4422-222-22-22111−1+3i32−1−3i324i−4i-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i3222-2-2−2i2i−2i2i-22−2i2i−2i2i-11-11-111−3i321+3i32−1+3i32−1−3i32ii−i−ii−ii−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22i−ii−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22000000000000000000000000000000000
χ1074-4-44-2-2-2-4422-222-22-22111−1+3i32−1−3i32−4i4i-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i3222-2-22i−2i2i−2i-222i−2i2i−2i-11-11-111−3i321+3i32−1+3i32−1−3i32−i−iii−ii−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ22−ii−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ22000000000000000000000000000000000
χ10888-8-88-4-4008-44-844-4-84-4-422200-4-422244-2-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-48-400-4-4-84-84844-42-42200-42-4224-24-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4800-48444-8-44-82-4-422002-4-422-244-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-400-4-44444-444222−1−3i3−1+3i300222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-400-4-44444-444222−1+3i3−1−3i300222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-4-400-8448-444-8-4-4-42220044-2-2-244-2-2-2-4-422200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-48-40044-8-484-84-4-42-422004-24-2-24-24-2-2-42-42200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-48004-84-4-4-84482-4-42200-244-2-2-244-2-22-4-42200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4-400444-4-4444-4222−1−3i3−1+3i300-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-400444-4-4444-4222−1+3i3−1−3i300-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000

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