Finite Group Databasebeta

← Group #13162020

Character table — Group #13162020

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order122233344666666666333334466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212124412121212444888812121212121224242424242424244412121212
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
χ511111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111
χ811111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111-111-1-1
χ92222222-2-22222222222222200222222222222222-2-20000-2-2-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000222222-2000000-2-2000000000000000000
χ102222222-2-22222222222222200222222222222222-2-20000-2-2-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2200000022000000000000000000
χ11222222-1222222-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12220000-1-1-1-1-1-100000000000000
χ12222222-1222222-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2000011111100000000000000
χ13222222-1222222-1-122-12-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-1-1-111112222-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-1-1-1-12-2-20000-1-1111100000000000000
χ14222222-1222222-1-122-12-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-1-1-111112222-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-21111-222000011-1-1-1-100000000000000
χ15222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-111−i3−i3i3i3-2-2-2-20000-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i322-1-1-1-1-200000011−i3−i3i3i300000000000000
χ16222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-111−i3−i3i3i3-2-2-2-20000-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-211112000000-1-1i3i3−i3−i300000000000000
χ17222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-111i3i3−i3−i3-2-2-2-20000-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i322-1-1-1-1-200000011i3i3−i3−i300000000000000
χ18222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-111i3i3−i3−i3-2-2-2-20000-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-211112000000-1-1−i3−i3i3i300000000000000
χ1922222-122222-1-1222-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12222222-12-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000220000000000-1-1-1-10200-1-1
χ2022222-122222-1-1222-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12222222-12-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000-2-2000000000011110-20011
χ2122222-122222-1-1222-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2-2-2-22-12-1-2-211-1-122-1-1-1-1-1-11111-2-2111111-2-211111100000000000220000000000-1-1-1-10-20011
χ2222222-122222-1-1222-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2-2-2-22-12-1-2-211-1-122-1-1-1-1-1-11111-2-2111111-2-211111100000000000-2-2000000000011110200-1-1
χ232222-12222-1-12222-122-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1222222-12-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000002200000000-1-1-1-1000020-1-100
χ242222-12222-1-12222-122-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1222222-12-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000-2-20000000011110000-201100
χ252222-12222-1-12222-122-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-122-2-2-2-2-12-1211-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-211110000000002200000000-1-1-1-10000-201100
χ262222-12222-1-12222-122-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-122-2-2-2-2-12-1211-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-21111000000000-2-2000000001111000020-1-100
χ2722-2-2222002-22-2-22-2-2-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-222-2-20002−22−200000022−2−222−2−2000000
χ2822-2-2222002-22-2-22-2-2-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-222-2-2000−22−22000000−2−222−2−222000000
χ2922-2-2222002-22-2-22-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22-2-2220002−2−2200000022−2−2−2−222000000
χ3022-2-2222002-22-2-22-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22-2-222000−222−2000000−2−22222−2−2000000
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χ322-2-222222-2-2-2-2-22-222-22222200-2-2-2-2-2-2-2-2-2-2222222-2000022-2-200002-22-22-222-2-2000000000000000000000000000−2i2i000000−2i2i−2i2i00000000000000
χ332-2-22222-22-2-2-2-22-222-2222222-2-2-2-2-2-2-2-2-2-2-222222-222-22-2-2-2222-22-2-22-22-22-2-22222-2-22-22-222-2-22-22-222-2-2000000000000000000000000000000000
χ342-2-22222-22-2-2-2-22-222-222222-22-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-222-22-22-22-22-22-2-222-2-222-22-22-2-222-22-22-2-222000000000000000000000000000000000
χ352-2-2222-12-2-2-2-2-2-112212-1-1-1-100-2-2111111112-1-1-1-1-11−i3i3i3−i322-2-200002-2-11-11-1-1110000−i3i3−i3i3−i3−i3i3i3i3−i3i3−i3i3i3−i3−i3003−33−302i−2i00003−3−ii−ii00000000000000
χ362-2-2222-12-2-2-2-2-2-112212-1-1-1-100-2-2111111112-1-1-1-1-11−i3i3i3−i322-2-200002-2-11-11-1-1110000−i3i3−i3i3−i3−i3i3i3i3−i3i3−i3i3i3−i3−i300−33−330−2i2i0000−33i−ii−i00000000000000
χ372-2-2222-12-2-2-2-2-2-112212-1-1-1-100-2-2111111112-1-1-1-1-11i3−i3−i3i322-2-200002-2-11-11-1-1110000i3−i3i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i3003−33−30−2i2i00003−3i−ii−i00000000000000
χ382-2-2222-12-2-2-2-2-2-112212-1-1-1-100-2-2111111112-1-1-1-1-11i3−i3−i3i322-2-200002-2-11-11-1-1110000i3−i3i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i300−33−3302i−2i0000−33−ii−ii00000000000000
χ392-2-2222-1-22-2-2-2-2-112212-1-1-1-12-2-2-2111111112-1-1-1-11-1-11-11-2-2222-22-2-221-11-111-1-122-2-2-11-11-1-111-11-11-1-111003−33−30000000−333−3−3300000000000000
χ402-2-2222-1-22-2-2-2-2-112212-1-1-1-12-2-2-2111111112-1-1-1-11-1-11-11-2-2222-22-2-221-11-111-1-122-2-2-11-11-1-111-11-11-1-11100−33−3300000003−3−333−300000000000000
χ412-2-2222-1-22-2-2-2-2-112212-1-1-1-1-22-2-2111111112-1-1-1-11-11-11-1-2-222-22-22-221-11-111-1-1-2-2221-11-111-1-11-11-111-1-1003−33−30000000−33−333−300000000000000
χ422-2-2222-1-22-2-2-2-2-112212-1-1-1-1-22-2-2111111112-1-1-1-11-11-11-1-2-222-22-22-221-11-111-1-1-2-2221-11-111-1-11-11-111-1-100−33−3300000003−33−3−3300000000000000
χ432-2-222-12-22-2-2112-22-1-2-12-1-1-12-211-2-2111111-12-1-1-1-222-22-2-212-12-2-111-1-221-111-1-1-1-1112-2-11-1-1112-2-11-1-11100000000000000000000000−i3i3−i3i30000−i3i3
χ442-2-222-12-22-2-2112-22-1-2-12-1-1-12-211-2-2111111-12-1-1-1-222-22-2-212-12-2-111-1-221-111-1-1-1-1112-2-11-1-1112-2-11-1-11100000000000000000000000i3−i3i3−i30000i3−i3
χ452-2-222-12-22-2-2112-22-1-2-12-1-1-1-2211-2-2111111-12-1-1-1-22-22-22-212-1-221-11-1-221-111-1-111-1-1-221-111-1-1-221-111-1-100000000000000000000000−i3i3−i3i30000i3−i3
χ462-2-222-12-22-2-2112-22-1-2-12-1-1-1-2211-2-2111111-12-1-1-1-22-22-22-212-1-221-11-1-221-111-1-111-1-1-221-111-1-1-221-111-1-100000000000000000000000i3−i3i3−i30000−i3i3
χ472-2-22-122-2211-2-22-2-12-2-1-12-1-12-21111-2-21111-1-12-1-1-222-22-21-2-12-112-21-11-1-2211-1-1-1-111-112-2-1-111-112-2-1-1110000000000000000000−i3i3−i3i3000000−i3i300
χ482-2-22-122-2211-2-22-2-12-2-1-12-1-12-21111-2-21111-1-12-1-1-222-22-21-2-12-112-21-11-1-2211-1-1-1-111-112-2-1-111-112-2-1-1110000000000000000000i3−i3i3−i3000000i3−i300
χ492-2-22-122-2211-2-22-2-12-2-1-12-1-1-221111-2-21111-1-12-1-1-22-22-221-2-121-1-221-11-1-2211-1-111-1-11-1-2211-1-11-1-2211-1-10000000000000000000−i3i3−i3i3000000i3−i300
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χ5144444-24-4-444-2-2444-24-24-2-2-200-2-244-2-2-2-2-2-2-24-2-2-2-4-40000-42-42000022-4-422222200000000000000000000000000000000000000000000000000000
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χ564444-244-4-4-2-24444-244-2-24-2-200-2-2-2-244-2-2-2-2-2-24-2-2-4-400002-42-400002222-4-4222200000000000000000000000000000000000000000000000000000
χ574444-24-244-2-244-2-2-24-2-21-21144-2-211-2-21111-21-211-2-2-2-2-2-2-24-24-2-244-2-211-2-21111-2-2-2-211-2-2111111-2-21111000000000000000000000000000000000
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χ634444-2-24-4-4-2-2-2-244-2-241-2-2110011-2-2-2-211111-2-211-4-4000022220000-1-12222-1-1-1-13-33-300003-33-300003-33-3000000000000000000000000000000000
χ644444-2-24-4-4-2-2-2-244-2-241-2-2110011-2-2-2-211111-2-211-4-4000022220000-1-12222-1-1-1-1-33-330000-33-330000-33-33000000000000000000000000000000000
χ654444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+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+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+3i32-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-22222-2-2-2-22222111111−1−3i32−1+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
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+3i32−1−3i3211111111−1+3i32−1−3i32−1+3i32−1−3i321111−1−3i32−1+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+3i32−1−3i32-2-22222-2-2-2-22222111111−1+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
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+3i3222−2i3−2i32i32i322220000-1-1-1-1-1-11+3i321−3i321+3i321−3i323-33-3i3i3i3i3−3−i323−i32−3−i323−i32−i3−i3−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+3i32222i32i3−2i3−2i322220000-1-1-1-1-1-11+3i321−3i321+3i321−3i32-33-33−i3−i3−i3−i33+i32−3+i323+i32−3+i32i3i3i3i33−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+3i32−1−3i3222−2i3−2i32i32i322220000-1-1-1-1-1-11−3i321+3i321−3i321+3i32-33-33i3i3i3i33−i32−3−i323−i32−3−i32−i3−i3−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+3i32−1−3i32222i32i3−2i3−2i322220000-1-1-1-1-1-11−3i321+3i321−3i321+3i323-33-3−i3−i3−i3−i3−3+i323+i32−3+i323+i32i3i3i3i3−3−i323−i32−3−i323−i32000000000000000000000000000000000
χ7344-4-444-2004-44-42-2-4-424-2-2-2-2004-4-22-22-2-222-42222000000000000000000000000000000000000000000004-4-2-222000000000000000000000000000
χ7444-4-444-2004-44-42-2-4-424-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000-4422-2-2000000000000000000000000000
χ7544-4-44-24004-4-22-44-42-4-24-2-2-200-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000000000022−220000000000−2−222000000
χ7644-4-44-24004-4-22-44-42-4-24-2-2-200-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000000000−2222000000000022−2−2000000
χ7744-4-4-24400-224-4-442-4-4-2-24-2-200-22-224-4-2-22222-4220000000000000000000000000000000000000000000000000000022−2200000000−2−2220000000000
χ7844-4-4-24400-224-4-442-4-4-2-24-2-200-22-224-4-2-22222-42200000000000000000000000000000000000000000000000000000−22220000000022−2−20000000000
χ794-44-444400-44-44-4-4-4-444444400-44-44-44-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ804-44-444-200-44-4422-4-4-24-2-2-2-200-442-22-222-2-2-42222000000000000000000000000000000000000000000000023−23−2323000000000000000000000000000
χ814-44-444-200-44-4422-4-4-24-2-2-2-200-442-22-222-2-2-422220000000000000000000000000000000000000000000000−232323−23000000000000000000000000000
χ824-44-44-2400-442-2-4-4-424-24-2-2-2002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000000000000000i6−i6−i6i6000000
χ834-44-44-2400-442-2-4-4-424-24-2-2-2002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000000000000000−i6i6i6−i6000000
χ844-44-4-244002-2-44-4-42-44-2-24-2-2002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000000000000i6−i6−i6i60000000000
χ854-44-4-244002-2-44-4-42-44-2-24-2-2002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000000000000−i6i6i6−i60000000000
χ864-4-444-244-4-4-4224-44-2-4-24-2-2-20022-4-4222222-24-2-2-24-400004-2-420000-224-4-22-2-22200000000000000000000000000000000000000000000000000000
χ874-4-444-2-24-4-4-422-224-22-2-2111002222-1-1-1-1-1-1-2-2111-22−2i32i32i3−2i34-2-420000-22-221-111-1-10000−2i32i3i3−i3i3i3−i3−i32i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000
χ884-4-444-2-24-4-4-422-224-22-2-2111002222-1-1-1-1-1-1-2-2111-222i3−2i3−2i32i34-2-420000-22-221-111-1-100002i3−2i3−i3i3−i3−i3i3i3−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000
χ894-4-444-2-2-44-4-422-224-22-2-21114-42222-1-1-1-1-1-1-2-21112-2-22-22-424-24-4-222-22-2-11-1-111-2-222-221-111-1-1-221-111-1-1000000000000000000000000000000000
χ904-4-444-2-2-44-4-422-224-22-2-2111-442222-1-1-1-1-1-1-2-21112-22-22-2-424-2-442-22-22-2-11-1-11122-2-22-2-11-1-1112-2-11-1-111000000000000000000000000000000000
χ914-4-44-2444-422-4-44-4-24-4-2-24-2-2002222-4-42222-2-24-2-24-40000-242-40000-22-224-4-2-22200000000000000000000000000000000000000000000000000000
χ924-4-44-24-24-422-4-4-22-242-21-2110022-1-122-1-1-1-1-21-211-22−2i32i32i3−2i3-242-40000-221-1-2211-1-10000i3−i3−2i32i3i3i3−i3−i3−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000
χ934-4-44-24-24-422-4-4-22-242-21-2110022-1-122-1-1-1-1-21-211-222i3−2i3−2i32i3-242-40000-221-1-2211-1-10000−i3i32i3−2i3−i3−i3i3i3i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000
χ944-4-44-24-2-4422-4-4-22-242-21-2114-422-1-122-1-1-1-1-21-2112-2-22-222-4-24-224-42-2-112-2-1-111-2-2221-1-2211-1-11-1-2211-1-1000000000000000000000000000000000
χ954-4-44-24-2-4422-4-4-22-242-21-211-4422-1-122-1-1-1-1-21-2112-22-22-22-4-242-2-442-2-112-2-1-11122-2-2-112-2-1-111-112-2-1-111000000000000000000000000000000000
χ964-4-44-2-244-422224-4-2-2-41-2-21100-1-12222-1-1-1-11-2-2114-40000-2-22200001-1-22-2211-1-13-3-3300003-3-3300003-3-33000000000000000000000000000000000
χ974-4-44-2-244-422224-4-2-2-41-2-21100-1-12222-1-1-1-11-2-2114-40000-2-22200001-1-22-2211-1-1-333-30000-333-30000-333-3000000000000000000000000000000000
χ984-4-44-2-24-4422224-4-2-2-41-2-2114-4-1-12222-1-1-1-11-2-211-444-44-422-2-2-22-22-112-22-2-1-11111-1-1-22-2211-1-1-22-2211-1-1000000000000000000000000000000000
χ994-4-44-2-24-4422224-4-2-2-41-2-211-44-1-12222-1-1-1-11-2-211-44-44-4422-2-22-22-2-112-22-2-1-111-1-1112-22-2-1-1112-22-2-1-111000000000000000000000000000000000
χ1004-4-44-2-2-24-42222-22-2-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22−2i32i32i3−2i3-2-22200001-11-11-1−1−3i32−1+3i321+3i321−3i323-3-33i3−i3i3−i3−3−i323−i323+i32−3+i32−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000
χ1014-4-44-2-2-24-42222-22-2-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-222i3−2i3−2i32i3-2-22200001-11-11-1−1−3i32−1+3i321+3i321−3i32-333-3−i3i3−i3i33+i32−3+i32−3−i323−i32i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000
χ1024-4-44-2-2-24-42222-22-2-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22−2i32i32i3−2i3-2-22200001-11-11-1−1+3i32−1−3i321−3i321+3i32-333-3i3−i3i3−i33−i32−3−i32−3+i323+i32−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000
χ1034-4-44-2-2-24-42222-22-2-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-222i3−2i3−2i32i3-2-22200001-11-11-1−1+3i32−1−3i321−3i321+3i323-3-33−i3i3−i3i3−3+i323+i323−i32−3−i32i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000
χ1044-4-44-2-2-2-442222-22-2-22111−1−3i32−1+3i324-4-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-2-22-2222-2-2-22-22-11-11-111+3i321−3i32−1−3i32−1+3i3211-1-11-11-1−1−3i32−1+3i321+3i321−3i321-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ1054-4-44-2-2-2-442222-22-2-22111−1−3i32−1+3i32-44-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-222-2-22-22-2-11-11-111+3i321−3i32−1−3i32−1+3i32-1-111-11-111+3i321−3i32−1−3i32−1+3i32-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ1064-4-44-2-2-2-442222-22-2-22111−1+3i32−1−3i324-4-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-2-22-2222-2-2-22-22-11-11-111−3i321+3i32−1+3i32−1−3i3211-1-11-11-1−1+3i32−1−3i321−3i321+3i321-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ1074-4-44-2-2-2-442222-22-2-22111−1+3i32−1−3i32-44-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-222-2-22-22-2-11-11-111−3i321+3i32−1+3i32−1−3i32-1-111-11-111−3i321+3i32−1+3i32−1−3i32-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ10888-8-88-4-4008-8-444-4-844-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-48-400-448-84-44-84-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4800-44-44-8844-82-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-400-44-444-4444222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-400-44-444-4444222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-4-400-884-444-84-4-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-48-4004-4-88444-8-4-42-422004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-48004-44-4-8-84482-4-42200-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4-4004-44-44444-4222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-4004-44-44444-4222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000

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