Finite Group Databasebeta

← Group #13162007

Character table — Group #13162007

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order1222333446666666663333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244121212124448888121212121212242424242424242424661212
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
χ511111111111111111111111-1-1111111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111111111-1-1111111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111-1-1111111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111
χ811111111111111111111111-1-1111111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111-111-1-1
χ92222222-2-22222222222222200222222222222222-2-2-20000-2-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000222222-2000000-2-2000000000000000000
χ102222222-2-22222222222222200222222222222222-2-2-20000-2-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2200000022000000000000000000
χ11222222-12222-1-12-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-122222-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000002200000000-1-1-1-1000020-1-100
χ12222222-12222-1-12-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-122222-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20000000011110000-201100
χ13222222-12222-1-12-12222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-2-2-2-22-1211-2-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000000002200000000-1-1-1-10000-201100
χ14222222-12222-1-12-12222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-2-2-2-22-1211-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000000000-2-2000000001111000020-1-100
χ1522222-12222222-12-12-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-12222222-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12220000-1-1-1-1-1-100000000000000
χ1622222-12222222-12-12-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-12222222-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2000011111100000000000000
χ1722222-12222222-12-12-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-1-1-121111222-2-2-2-2-1-122-1-1-1-1-1-11111-2-2-2-211111111111122-1-1-1-12-2-20000-1-1111100000000000000
χ1822222-12222222-12-12-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-1-1-121111222-2-2-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-21111-222000011-1-1-1-100000000000000
χ1922222-12-2-22222-12-12-1-12-1-1-100-1-122-1-1-1-1-1-1-12-1-1-111-2−i3−i3i3i3-2-2-2000011-2-2111111−i3−i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i322-1-1-1-1-200000011−i3−i3i3i300000000000000
χ2022222-12-2-22222-12-12-1-12-1-1-100-1-122-1-1-1-1-1-1-12-1-1-111-2−i3−i3i3i3-2-2-2000011-2-2111111−i3−i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2-211112000000-1-1i3i3−i3−i300000000000000
χ2122222-12-2-22222-12-12-1-12-1-1-100-1-122-1-1-1-1-1-1-12-1-1-111-2i3i3−i3−i3-2-2-2000011-2-2111111i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i322-1-1-1-1-200000011i3i3−i3−i300000000000000
χ2222222-12-2-22222-12-12-1-12-1-1-100-1-122-1-1-1-1-1-1-12-1-1-111-2i3i3−i3−i3-2-2-2000011-2-2111111i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-211112000000-1-1−i3−i3i3i300000000000000
χ232222-12222-1-122222-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12222222-12-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000000220000000000-1-1-1-10200-1-1
χ242222-12222-1-122222-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12222222-12-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000000-2-2000000000011110-20011
χ252222-12222-1-122222-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1222-2-2-2-2-12-1-2-211-1-1-1-122-1-1-1-111111111-2-21111-2-2111100000000000220000000000-1-1-1-10-20011
χ262222-12222-1-122222-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1222-2-2-2-2-12-1-2-211-1-1-1-122-1-1-1-111111111-2-21111-2-2111100000000000-2-2000000000011110200-1-1
χ272-22-22222-2-2-2-2-222-22-22222200-2-2-2-2-2-2-2-2-2-2222222-2200002-2-200002-22-22-222-2-20000000000000000000000000002i−2i0000002i−2i2i−2i00000000000000
χ282-22-22222-2-2-2-2-222-22-22222200-2-2-2-2-2-2-2-2-2-2222222-2200002-2-200002-22-22-222-2-2000000000000000000000000000−2i2i000000−2i2i−2i2i00000000000000
χ292-22-2222-22-2-2-2-222-22-2222222-2-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2222-22-2-22-22-22-2-2222-22-222-2-22-222-2-22-222-2-2000000000000000000000000000000000
χ302-22-2222-22-2-2-2-222-22-222222-22-2-2-2-2-2-2-2-2-2-222222-22-2-22-22-222-22-22-22-22-22-2-222-22-22-2-222-22-2-222-22-2-222000000000000000000000000000000000
χ312-22-222-1-22-2-2112-1-22-22-1-1-1-12-2-2-2111111112-1-1-1-1-2212-22-2-2-12-112-2-221-11-111-1-12-22-2-1-111-11-1-111-11-1-1110000000000000000000−i3−i3i3i3000000−i3i300
χ322-22-222-1-22-2-2112-1-22-22-1-1-1-12-2-2-2111111112-1-1-1-1-2212-22-2-2-12-112-2-221-11-111-1-12-22-2-1-111-11-1-111-11-1-1110000000000000000000i3i3−i3−i3000000i3−i300
χ332-22-222-1-22-2-2112-1-22-22-1-1-1-1-22-2-2111111112-1-1-1-1-221-22-22-2-121-1-22-221-11-111-1-1-22-2211-1-11-111-1-11-111-1-10000000000000000000−i3−i3i3i3000000i3−i300
χ342-22-222-1-22-2-2112-1-22-22-1-1-1-1-22-2-2111111112-1-1-1-1-221-22-22-2-121-1-22-221-11-111-1-1-22-2211-1-11-111-1-11-111-1-10000000000000000000i3i3−i3−i3000000−i3i300
χ352-22-22-122-2-2-2-2-2-12121-12-1-1-10011-2-2111111-12-1-1-1-112−i3i3i3−i32-2-20000-112-2-11-1-111−i3i3i3−i30000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i30033−3−302i−2i00003−3−ii−ii00000000000000
χ362-22-22-122-2-2-2-2-2-12121-12-1-1-10011-2-2111111-12-1-1-1-112−i3i3i3−i32-2-20000-112-2-11-1-111−i3i3i3−i30000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i300−3−3330−2i2i0000−33i−ii−i00000000000000
χ372-22-22-122-2-2-2-2-2-12121-12-1-1-10011-2-2111111-12-1-1-1-112i3−i3−i3i32-2-20000-112-2-11-1-111i3−i3−i3i30000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i30033−3−30−2i2i00003−3i−ii−i00000000000000
χ382-22-22-122-2-2-2-2-2-12121-12-1-1-10011-2-2111111-12-1-1-1-112i3−i3−i3i32-2-20000-112-2-11-1-111i3−i3−i3i30000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i300−3−33302i−2i0000−33−ii−ii00000000000000
χ392-22-22-12-22-2-2-2-2-12121-12-1-1-12-211-2-2111111-12-1-1-11-1-2-11-11-2222-22-21-1-221-111-1-1-11-1122-2-2-11-1-111-11-1-1110033−3−30000000−333−3−3300000000000000
χ402-22-22-12-22-2-2-2-2-12121-12-1-1-12-211-2-2111111-12-1-1-11-1-2-11-11-2222-22-21-1-221-111-1-1-11-1122-2-2-11-1-111-11-1-11100−3−33300000003−3−333−300000000000000
χ412-22-22-12-22-2-2-2-2-12121-12-1-1-1-2211-2-2111111-12-1-1-11-1-21-11-1-222-22-221-1-221-111-1-11-11-1-2-2221-111-1-11-111-1-10033−3−30000000−33−333−300000000000000
χ422-22-22-12-22-2-2-2-2-12121-12-1-1-1-2211-2-2111111-12-1-1-11-1-21-11-1-222-22-221-1-221-111-1-11-11-1-2-2221-111-1-11-111-1-100−3−33300000003−33−3−3300000000000000
χ432-22-2-122-2211-2-222-2-1-2-1-12-1-12-21111-2-21111-1-12-1-1-22-22-22-212-12-2-111-11-1-2211-1-1-11-11-1-1112-2-1-1112-2-1-11100000000000000000000000−i3−i3i3i30000−i3i3
χ442-22-2-122-2211-2-222-2-1-2-1-12-1-12-21111-2-21111-1-12-1-1-22-22-22-212-12-2-111-11-1-2211-1-1-11-11-1-1112-2-1-1112-2-1-11100000000000000000000000i3i3−i3−i30000i3−i3
χ452-22-2-122-2211-2-222-2-1-2-1-12-1-1-221111-2-21111-1-12-1-1-22-2-22-2212-1-221-11-11-1-2211-1-11-11-111-1-1-2211-1-1-2211-1-100000000000000000000000−i3−i3i3i30000i3−i3
χ462-22-2-122-2211-2-222-2-1-2-1-12-1-1-221111-2-21111-1-12-1-1-22-2-22-2212-1-221-11-11-1-2211-1-11-11-111-1-1-2211-1-1-2211-1-100000000000000000000000i3i3−i3−i30000−i3i3
χ472-2-22222002-22-2-2-2-2-2222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i2i−2i000−i2i22−2000000−i2i2−i2i22−22−2000000
χ482-2-22222002-22-2-2-2-2-2222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i2i−2i000i2−i2−22000000i2−i2i2−i2−22−22000000
χ492-2-22222002-22-2-2-2-2-2222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i−2i2i000−i2i2−22000000−i2i2−i2i2−22−22000000
χ502-2-22222002-22-2-2-2-2-2222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i−2i2i000i2−i22−2000000i2−i2i2−i22−22−2000000
χ51444444-2-4-444-2-24-24444-2-2-2-20044-2-2-2-2-2-2-2-24-2-2-2-2-4-420000-42-40000-4-42222222200000000000000000000000000000000000000000000000000000
χ5244444-2-24444-2-2-2-2-24-2-2-211144-2-2-2-2111111-2-2111-2-2-2-2-2-2-24-24-2-244-2-2-2-2111111-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000
χ5344444-2-24444-2-2-2-2-24-2-2-2111-4-4-2-2-2-2111111-2-2111-2-2-222224-2422-4-4-2-2-2-211111122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ5444444-2-2-4-444-2-2-2-2-24-2-2-211100-2-2-2-2111111-2-2111222−2i3−2i32i32i3-42-400002222-1-1-1-1-1-1−2i3−2i32i32i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000000000000000000000000000000000
χ5544444-2-2-4-444-2-2-2-2-24-2-2-211100-2-2-2-2111111-2-21112222i32i3−2i3−2i3-42-400002222-1-1-1-1-1-12i32i3−2i3−2i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000000000000000000000000000000000
χ564444-244-4-4-2-244444-24-2-24-2-200-2-2-2-244-2-2-2-2-2-24-2-2-4-4-400002-4200002222-4-4222200000000000000000000000000000000000000000000000000000
χ574444-24-244-2-2-2-24-24-24-21-21144-2-211-2-21111-21-21144-24444-2-2-2-2-2-2-2-2-211-2-21111-2-2-2-21111-2-21111-2-21111000000000000000000000000000000000
χ584444-24-244-2-2-2-24-24-24-21-211-4-4-2-211-2-21111-21-21144-2-4-4-4-4-2-2-22222-2-211-2-211112222-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ594444-24-2-4-4-2-2-2-24-24-24-21-21100-2-211-2-21111-21-211-4-420000222000022-1-122-1-1-1-100003-33-3003-33-3003-33-3000000000000000000000000000000000
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χ634444-2-24-4-4-2-244-24-2-2-21-2-2110011-2-2-2-211111-2-21122-4−2i3−2i32i32i32-420000-1-12222-1-1-1-1i3i3−i3−i30000−2i3−2i3i3i3i3i32i32i3−i3−i3−i3−i3000000000000000000000000000000000
χ644444-2-24-4-4-2-244-24-2-2-21-2-2110011-2-2-2-211111-2-21122-42i32i3−2i3−2i32-420000-1-12222-1-1-1-1−i3−i3i3i300002i32i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3000000000000000000000000000000000
χ654444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111111−1−3i32−1+3i32−1−3i32−1+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+3i321111111111−1−3i32−1+3i32−1−3i32−1+3i3211−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000
χ664444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-22222-2-2-22222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111111−1+3i32−1−3i32−1+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+3i32−1−3i321111111111−1+3i32−1−3i32−1+3i32−1−3i3211−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-22222-2-2-22222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
χ694444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222−2i3−2i32i32i32220000-1-1-1-1-1-11+3i321−3i321+3i321−3i32i3i3−i3−i33-33-3i3i3−3−i323−i32−3−i323−i32−i3−i3−3+i323+i32−3+i323+i32000000000000000000000000000000000
χ704444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222i32i3−2i3−2i32220000-1-1-1-1-1-11+3i321−3i321+3i321−3i32−i3−i3i3i3-33-33−i3−i33+i32−3+i323+i32−3+i32i3i33−i32−3−i323−i32−3−i32000000000000000000000000000000000
χ714444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222−2i3−2i32i32i32220000-1-1-1-1-1-11−3i321+3i321−3i321+3i32i3i3−i3−i3-33-33i3i33−i32−3−i323−i32−3−i32−i3−i33+i32−3+i323+i32−3+i32000000000000000000000000000000000
χ724444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222i32i3−2i3−2i32220000-1-1-1-1-1-11−3i321+3i321−3i321+3i32−i3−i3i3i33-33-3−i3−i3−3+i323+i32−3+i323+i32i3i3−3−i323−i32−3−i323−i32000000000000000000000000000000000
χ7344-4-444400-44-44-4-44-4-44444400-44-44-44-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ7444-4-444-200-442-2-424-4-44-2-2-2-200-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000000006−6−660000000000
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χ7744-4-44-2400-44-442-4-2-42-24-2-2-2002-2-442-222-2-22-422200000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000
χ7844-4-4-244002-2-44-4-442-4-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000000000000000000i6−i6−i6i6000000
χ7944-4-4-244002-2-44-4-442-4-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000000000000000000−i6i6i6−i6000000
χ804-44-444-24-4-4-4224-2-44-44-2-2-2-200-4-4222222224-2-2-2-24-4-2000042-400004-4-22-22-2-22200000000000000000000000000000000000000000000000000000
χ814-44-44-2-24-4-4-422-2-2242-2-2111002222-1-1-1-1-1-1-2-2111-22-2−2i32i32i3−2i342-40000-22-221-111-1-1−2i32i32i3−2i30000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i3000000000000000000000000000000000
χ824-44-44-2-24-4-4-422-2-2242-2-2111002222-1-1-1-1-1-1-2-2111-22-22i3−2i3−2i32i342-40000-22-221-111-1-12i3−2i3−2i32i30000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i3000000000000000000000000000000000
χ834-44-44-2-2-44-4-422-2-2242-2-21114-42222-1-1-1-1-1-1-2-21112-22-22-22-4-24-224-42-22-2-11-1-111-22-22-2-2221-111-1-11-111-1-1000000000000000000000000000000000
χ844-44-44-2-2-44-4-422-2-2242-2-2111-442222-1-1-1-1-1-1-2-21112-222-22-2-4-242-2-442-22-2-11-1-1112-22-222-2-2-11-1-111-11-1-111000000000000000000000000000000000
χ854-44-4-2444-422-4-444-4-2-4-2-24-2-2002222-4-42222-2-24-2-24-440000-2-420000-22-224-4-2-22200000000000000000000000000000000000000000000000000000
χ864-44-4-24-24-422224-2-4-2-4-21-2110022-1-122-1-1-1-1-21-2114-4-20000-2220000-221-1-2211-1-100003-3-33003-3-33003-3-33000000000000000000000000000000000
χ874-44-4-24-24-422224-2-4-2-4-21-2110022-1-122-1-1-1-1-21-2114-4-20000-2220000-221-1-2211-1-10000-333-300-333-300-333-3000000000000000000000000000000000
χ884-44-4-24-2-4422224-2-4-2-4-21-2114-422-1-122-1-1-1-1-21-211-4424-44-42-2-2-22-222-2-112-2-1-111-22-2211-1-1-2211-1-1-2211-1-1000000000000000000000000000000000
χ894-44-4-24-2-4422224-2-4-2-4-21-211-4422-1-122-1-1-1-1-21-211-442-44-442-2-22-22-22-2-112-2-1-1112-22-2-1-1112-2-1-1112-2-1-111000000000000000000000000000000000
χ904-44-4-2-244-422-4-4-242-221-2-21100-1-12222-1-1-1-11-2-211-224−2i32i32i3−2i3-2-4200001-1-22-2211-1-1i3−i3−i3i30000−2i32i3i3i3−i3−i32i3−2i3−i3−i3i3i3000000000000000000000000000000000
χ914-44-4-2-244-422-4-4-242-221-2-21100-1-12222-1-1-1-11-2-211-2242i3−2i3−2i32i3-2-4200001-1-22-2211-1-1−i3i3i3−i300002i3−2i3−i3−i3i3i3−2i32i3i3i3−i3−i3000000000000000000000000000000000
χ924-44-4-2-24-4422-4-4-242-221-2-2114-4-1-12222-1-1-1-11-2-2112-2-4-22-2224-24-4-22-112-22-2-1-1111-11-1-2-222-2211-1-1-2211-1-1000000000000000000000000000000000
χ934-44-4-2-24-4422-4-4-242-221-2-211-44-1-12222-1-1-1-11-2-2112-2-42-22-224-2-442-2-112-22-2-1-111-11-1122-2-22-2-1-1112-2-1-111000000000000000000000000000000000
χ944-44-4-2-2-24-42222-2-22-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-2−2i32i32i3−2i3-22200001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3−i3i33-3-33i3−i3−3−i323−i323+i32−3+i32−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000
χ954-44-4-2-2-24-42222-2-22-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22i3−2i3−2i32i3-22200001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3i3−i3-333-3−i3i33+i32−3+i32−3−i323−i32i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000
χ964-44-4-2-2-24-42222-2-22-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-2−2i32i32i3−2i3-22200001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3−i3i3-333-3i3−i33−i32−3−i32−3+i323+i32−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000
χ974-44-4-2-2-24-42222-2-22-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22i3−2i3−2i32i3-22200001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3i3−i33-3-33−i3i3−3+i323+i323−i32−3−i32i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000
χ984-44-4-2-2-2-442222-2-22-22111−1−3i32−1+3i324-4-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-222-2-2-22-22-11-11-111+3i321−3i32−1−3i32−1+3i321-11-111-1-11-1−1−3i32−1+3i321+3i321−3i321-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ994-44-4-2-2-2-442222-2-22-22111−1−3i32−1+3i32-44-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-222-22-22-2-22-22-2-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-1-111-111+3i321−3i32−1−3i32−1+3i32-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ1004-44-4-2-2-2-442222-2-22-22111−1+3i32−1−3i324-4-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-222-2-2-22-22-11-11-111−3i321+3i32−1+3i32−1−3i321-11-111-1-11-1−1+3i32−1−3i321−3i321+3i321-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ1014-44-4-2-2-2-442222-2-22-22111−1+3i32−1−3i32-44-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-222-22-22-2-22-22-2-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-1-111-111−3i321+3i32−1+3i32−1−3i32-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ1024-4-4444-2004-4-22-42-4-444-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000000000000−2i22i200000000i2−i2i2−i20000000000
χ1034-4-4444-2004-4-22-42-4-444-2-2-2-2004-4-22-22-2-222-42222000000000000000000000000000000000000000000000000000002i2−2i200000000−i2i2−i2i20000000000
χ1044-4-444-24004-44-42-42-4-2-24-2-2-200-224-4-22-2-2222-4222000000000000000000000000000000000000000000004i−4i−2i2i−2i2i000000000000000000000000000
χ1054-4-444-24004-44-42-42-4-2-24-2-2-200-224-4-22-2-2222-422200000000000000000000000000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000000
χ1064-4-44-24400-224-4-4-4-424-2-24-2-200-22-224-4-2-22222-422000000000000000000000000000000000000000000000000000000022−220000000000−22−22000000
χ1074-4-44-24400-224-4-4-4-424-2-24-2-200-22-224-4-2-22222-4220000000000000000000000000000000000000000000000000000000−222200000000002−22−2000000
χ10888-8-88-4-400-884-444-4-84-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-48-4004-44-4-8484-8-42-422004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-48004-4-884-8-4442-4-42200-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4004-44-444-444222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-4004-44-444-444222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-4008-8-44444-8-4-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-400-44-44-84-848-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4800-448-84-844-42-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400-44-444444-4222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400-44-444444-4222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).