Finite Group Databasebeta

← Group #13161970

Character table — Group #13161970

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order12223334466666666622333336666666666666666666121212121212666666666666666666666666121212121212121212124412121212444888812121212121224242424242424244412121212
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
χ5111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111
χ8111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111-111-1-1
χ92222222-2-222222222200222220000222222222222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2222222-2000000-2-2000000000000000000
χ102222222-2-222222222200222220000222222222222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2200000022000000000000000000
χ11222222-1222222-1-122-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12220000-1-1-1-1-1-100000000000000
χ12222222-1222222-1-122-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-21111-2-2-2000011111100000000000000
χ13222222-1222222-1-122-1-2-22-1-1-1-1111122-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1-1-1-1-122-1-1-1-12-2-20000-1-1111100000000000000
χ14222222-1222222-1-122-1-2-22-1-1-1-1111122-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1-2-21111-222000011-1-1-1-100000000000000
χ15222222-1-2-22222-1-122-1002-1-1-1-1−i3−i3i3i322-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-21111111122-1-1-1-1-200000011−i3−i3i3i300000000000000
χ16222222-1-2-22222-1-122-1002-1-1-1-1−i3−i3i3i322-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-211111111-2-211112000000-1-1i3i3−i3−i300000000000000
χ17222222-1-2-22222-1-122-1002-1-1-1-1i3i3−i3−i322-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-21111111122-1-1-1-1-200000011i3i3−i3−i300000000000000
χ18222222-1-2-22222-1-122-1002-1-1-1-1i3i3−i3−i322-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-211111111-2-211112000000-1-1−i3−i3i3i300000000000000
χ1922222-122222-1-1222-1222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1222-12-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000220000000000-1-1-1-10200-1-1
χ2022222-122222-1-1222-1222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1222-12-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000-2-2000000000011110-20011
χ2122222-122222-1-1222-12-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-1222-12-1-2-2111111-2-2111111-2-2111111-1-122-1-1-1-1-1-100000000000220000000000-1-1-1-10-20011
χ2222222-122222-1-1222-12-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-1222-12-1-2-2111111-2-2111111-2-2111111-1-122-1-1-1-1-1-100000000000-2-2000000000011110200-1-1
χ232222-12222-1-12222-12222-1-12-1-12222-1-1-1-122-1-1-1-1-1-12-1-122-12-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000002200000000-1-1-1-1000020-1-100
χ242222-12222-1-12222-12222-1-12-1-12222-1-1-1-122-1-1-1-1-1-12-1-122-12-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000000-2-20000000011110000-201100
χ252222-12222-1-12222-122-2-2-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-122-12-1211-2-2111111-2-2111111-2-21111-1-1-1-122-1-1-1-10000000002200000000-1-1-1-10000-201100
χ262222-12222-1-12222-122-2-2-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-122-12-1211-2-2111111-2-2111111-2-21111-1-1-1-122-1-1-1-1000000000-2-2000000001111000020-1-100
χ272-22-2222002-22-2-2-2-2-22002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-222-2-2000−i2i2−i2i2000000−i2−i2i2i2−i2−i2i2i2000000
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χ292-22-2222002-22-2-2-2-2-22002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-2-222000−i2i2i2−i2000000−i2−i2i2i2i2i2−i2−i2000000
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χ322-2-222222-2-2-2-2-22-222-200222220000-2-2-2-2-2-2-2-2-2-2222222-222-2-20000000000000000000000002-22-22-222-2-20000000−2i2i000000−2i2i−2i2i00000000000000
χ332-2-22222-22-2-2-2-22-222-22-2222222-22-2-2-2-2-2-2-2-2-2-2-222222-22-2-2222-22-222-2-22-22-222-2-22-22-222-2-2-22-22-22-2-222000000000000000000000000000000000
χ342-2-22222-22-2-2-2-22-222-2-2222222-22-22-2-2-2-2-2-2-2-2-2-222222-22-2-222-22-22-2-222-22-22-2-222-22-22-2-222-22-22-22-2-222000000000000000000000000000000000
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χ362-2-2222-12-2-2-2-2-2-11221002-1-1-1-1−i3i3i3−i3-2-2111111112-1-1-1-1-1122-2-200000000−i3i3−i3i3−i3−i3i3i3i3−i3i3−i3i3i3−i3−i32-2-11-11-1-11100−33−330−2i2i0000−33i−ii−i00000000000000
χ372-2-2222-12-2-2-2-2-2-11221002-1-1-1-1i3−i3−i3i3-2-2111111112-1-1-1-1-1122-2-200000000i3−i3i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i32-2-11-11-1-111003−33−30−2i2i00003−3i−ii−i00000000000000
χ382-2-2222-12-2-2-2-2-2-11221002-1-1-1-1i3−i3−i3i3-2-2111111112-1-1-1-1-1122-2-200000000i3−i3i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i32-2-11-11-1-11100−33−3302i−2i0000−33−ii−ii00000000000000
χ392-2-2222-1-22-2-2-2-2-112212-22-1-1-1-1-11-11-2-2111111112-1-1-1-11-1-2-2222-22-222-2-2-11-11-1-111-11-11-1-111-221-11-111-1-1003−33−30000000−333−3−3300000000000000
χ402-2-2222-1-22-2-2-2-2-112212-22-1-1-1-1-11-11-2-2111111112-1-1-1-11-1-2-2222-22-222-2-2-11-11-1-111-11-11-1-111-221-11-111-1-100−33−3300000003−3−333−300000000000000
χ412-2-2222-1-22-2-2-2-2-11221-222-1-1-1-11-11-1-2-2111111112-1-1-1-11-1-2-222-22-22-2-2221-11-111-1-11-11-111-1-1-221-11-111-1-1003−33−30000000−33−333−300000000000000
χ422-2-2222-1-22-2-2-2-2-11221-222-1-1-1-11-11-1-2-2111111112-1-1-1-11-1-2-222-22-22-2-2221-11-111-1-11-11-111-1-1-221-11-111-1-100−33−3300000003−33−3−3300000000000000
χ432-2-222-12-22-2-2112-22-1-22-2-12-1-1-12-22-211-2-2111111-12-1-1-1-22-212-12-2-11-1-1112-2-11-1-1112-2-11-1-1111-1-221-111-1-100000000000000000000000−i3i3−i3i30000−i3i3
χ442-2-222-12-22-2-2112-22-1-22-2-12-1-1-12-22-211-2-2111111-12-1-1-1-22-212-12-2-11-1-1112-2-11-1-1112-2-11-1-1111-1-221-111-1-100000000000000000000000i3−i3i3−i30000i3−i3
χ452-2-222-12-22-2-2112-22-1-2-22-12-1-1-1-22-2211-2-2111111-12-1-1-1-22-212-1-221-111-1-1-221-111-1-1-221-111-1-11-1-221-111-1-100000000000000000000000−i3i3−i3i30000i3−i3
χ462-2-222-12-22-2-2112-22-1-2-22-12-1-1-1-22-2211-2-2111111-12-1-1-1-22-212-1-221-111-1-1-221-111-1-1-221-111-1-11-1-221-111-1-100000000000000000000000i3−i3i3−i30000−i3i3
χ472-2-22-122-2211-2-22-2-12-22-2-1-12-1-12-22-21111-2-21111-1-12-1-1-221-2-12-112-2-1-111-112-2-1-111-112-2-1-1111-11-1-2211-1-10000000000000000000−i3i3−i3i3000000−i3i300
χ482-2-22-122-2211-2-22-2-12-22-2-1-12-1-12-22-21111-2-21111-1-12-1-1-221-2-12-112-2-1-111-112-2-1-111-112-2-1-1111-11-1-2211-1-10000000000000000000i3−i3i3−i3000000i3−i300
χ492-2-22-122-2211-2-22-2-12-2-22-1-12-1-1-22-221111-2-21111-1-12-1-1-221-2-121-1-2211-1-11-1-2211-1-11-1-2211-1-11-11-1-2211-1-10000000000000000000−i3i3−i3i3000000i3−i300
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χ644444-2-24-4-4-2-2-2-244-2-24001-2-211000011-2-2-2-211111-2-211-4-422220000-33-330000-33-330000-33-33-1-12222-1-1-1-1000000000000000000000000000000000
χ654444-2-2-244-2-2-2-2-2-2-2-2-244111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-211111111−1−3i32−1+3i32−1−3i32−1+3i321111−1+3i32−1−3i32−1+3i32−1−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000
χ664444-2-2-244-2-2-2-2-2-2-2-2-244111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-211111111−1+3i32−1−3i32−1+3i32−1−3i321111−1−3i32−1+3i32−1−3i32−1+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1−3i32−1+3i322222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-22222-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-11−3i321+3i321−3i321+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-22222-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-11+3i321−3i321+3i321−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000
χ694444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1−3i32−1+3i32−2i3−2i32i32i3111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222200003-33-3i3i3i3i3−3−i323−i32−3−i323−i32−i3−i3−i3−i3−3+i323+i32−3+i323+i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
χ704444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1−3i32−1+3i322i32i3−2i3−2i3111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222220000-33-33−i3−i3−i3−i33+i32−3+i323+i32−3+i32i3i3i3i33−i32−3−i323−i32−3−i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
χ714444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1+3i32−1−3i32−2i3−2i32i32i3111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222220000-33-33i3i3i3i33−i32−3−i323−i32−3−i32−i3−i3−i3−i33+i32−3+i323+i32−3+i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000
χ724444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1+3i32−1−3i322i32i3−2i3−2i3111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222200003-33-3−i3−i3−i3−i3−3+i323+i32−3+i323+i32i3i3i3i3−3−i323−i32−3−i323−i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000
χ7344-4-444400-44-44-44-4-4-400444440000-44-44-44-4-444-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000
χ7444-4-444-200-44-442-2-4-42004-2-2-2-20000-442-22-222-2-2-4222200000000000000000000000000000000000000000023−23−2323000000000000000000000000000
χ7544-4-444-200-44-442-2-4-42004-2-2-2-20000-442-22-222-2-2-42222000000000000000000000000000000000000000000−232323−23000000000000000000000000000
χ7644-4-44-2400-442-2-44-42-400-24-2-2-200002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000000000006−6−66000000
χ7744-4-44-2400-442-2-44-42-400-24-2-2-200002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000000000000−666−6000000
χ7844-4-4-244002-2-44-442-4-400-2-24-2-200002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000000006−6−660000000000
χ7944-4-4-244002-2-44-442-4-400-2-24-2-200002-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000000000000−666−60000000000
χ804-44-444-2004-44-422-4-4-2004-2-2-2-200004-4-22-22-2-222-4222200000000000000000000000000000000000000004-4-2-222000000000000000000000000000
χ814-44-444-2004-44-422-4-4-2004-2-2-2-200004-4-22-22-2-222-422220000000000000000000000000000000000000000-4422-2-2000000000000000000000000000
χ824-44-44-24004-4-22-4-4-42400-24-2-2-20000-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000000−2i22i20000000000i2i2−i2−i2000000
χ834-44-44-24004-4-22-4-4-42400-24-2-2-20000-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000002i2−2i20000000000−i2−i2i2i2000000
χ844-44-4-24400-224-4-4-42-4400-2-24-2-20000-22-224-4-2-22222-4220000000000000000000000000000000000000000000000000−2i22i200000000i2i2−i2−i20000000000
χ854-44-4-24400-224-4-4-42-4400-2-24-2-20000-22-224-4-2-22222-42200000000000000000000000000000000000000000000000002i2−2i200000000−i2−i2i2i20000000000
χ864-4-444-244-4-4-4224-44-2-400-24-2-2-2000022-4-4222222-24-2-2-24-44-2-42000000000000000000000000-224-4-22-2-222000000000000000000000000000000000
χ874-4-444-2-24-4-4-422-224-2200-2-2111−2i32i32i3−2i32222-1-1-1-1-1-1-2-2111-224-2-4200000000−2i32i3i3−i3i3i3−i3−i32i3−2i3−i3i3−i3−i3i3i3-22-221-111-1-1000000000000000000000000000000000
χ884-4-444-2-24-4-4-422-224-2200-2-21112i3−2i3−2i32i32222-1-1-1-1-1-1-2-2111-224-2-42000000002i3−2i3−i3i3−i3−i3i3i3−2i32i3i3−i3i3i3−i3−i3-22-221-111-1-1000000000000000000000000000000000
χ894-4-444-2-2-44-4-422-224-224-4-2-2111-22-222222-1-1-1-1-1-1-2-21112-2-424-24-4-22-2-222-221-111-1-1-221-111-1-12-22-2-11-1-111000000000000000000000000000000000
χ904-4-444-2-2-44-4-422-224-22-44-2-21112-22-22222-1-1-1-1-1-1-2-21112-2-424-2-442-222-2-22-2-11-1-1112-2-11-1-1112-22-2-11-1-111000000000000000000000000000000000
χ914-4-44-2444-422-4-44-4-24-400-2-24-2-200002222-4-42222-2-24-2-24-4-242-4000000000000000000000000-22-224-4-2-222000000000000000000000000000000000
χ924-4-44-24-24-422-4-4-22-24200-21-211−2i32i32i3−2i322-1-122-1-1-1-1-21-211-22-242-400000000i3−i3−2i32i3i3i3−i3−i3−i3i32i3−2i3−i3−i3i3i3-221-1-2211-1-1000000000000000000000000000000000
χ934-4-44-24-24-422-4-4-22-24200-21-2112i3−2i3−2i32i322-1-122-1-1-1-1-21-211-22-242-400000000−i3i32i3−2i3−i3−i3i3i3i3−i3−2i32i3i3i3−i3−i3-221-1-2211-1-1000000000000000000000000000000000
χ944-4-44-24-2-4422-4-4-22-2424-4-21-211-22-2222-1-122-1-1-1-1-21-2112-22-4-24-224-4-2-2221-1-2211-1-11-1-2211-1-12-2-112-2-1-111000000000000000000000000000000000
χ954-4-44-24-2-4422-4-4-22-242-44-21-2112-22-222-1-122-1-1-1-1-21-2112-22-4-242-2-4422-2-2-112-2-1-111-112-2-1-1112-2-112-2-1-111000000000000000000000000000000000
χ964-4-44-2-244-422224-4-2-2-4001-2-2110000-1-12222-1-1-1-11-2-2114-4-2-22200003-3-3300003-3-3300003-3-331-1-22-2211-1-1000000000000000000000000000000000
χ974-4-44-2-244-422224-4-2-2-4001-2-2110000-1-12222-1-1-1-11-2-2114-4-2-2220000-333-30000-333-30000-333-31-1-22-2211-1-1000000000000000000000000000000000
χ984-4-44-2-24-4422224-4-2-2-44-41-2-2114-44-4-1-12222-1-1-1-11-2-211-4422-2-2-22-2211-1-1-22-2211-1-1-22-2211-1-1-112-22-2-1-111000000000000000000000000000000000
χ994-4-44-2-24-4422224-4-2-2-4-441-2-211-44-44-1-12222-1-1-1-11-2-211-4422-2-22-22-2-1-1112-22-2-1-1112-22-2-1-111-112-22-2-1-111000000000000000000000000000000000
χ1004-4-44-2-2-24-42222-22-2-2200111−1−3i32−1+3i32−2i32i32i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-2-22200003-3-33i3−i3i3−i3−3−i323−i323+i32−3+i32−i3i3−i3i3−3+i323+i323−i32−3−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ1014-4-44-2-2-24-42222-22-2-2200111−1−3i32−1+3i322i3−2i3−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-2-2220000-333-3−i3i3−i3i33+i32−3+i32−3−i323−i32i3−i3i3−i33−i32−3−i32−3+i323+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ1024-4-44-2-2-24-42222-22-2-2200111−1+3i32−1−3i32−2i32i32i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-2-2220000-333-3i3−i3i3−i33−i32−3−i32−3+i323+i32−i3i3−i3i33+i32−3+i32−3−i323−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ1034-4-44-2-2-24-42222-22-2-2200111−1+3i32−1−3i322i3−2i3−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-2-22200003-3-33−i3i3−i3i3−3+i323+i323−i32−3−i32i3−i3i3−i3−3−i323−i323+i32−3+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ1044-4-44-2-2-2-442222-22-2-224-4111−1−3i32−1+3i32-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-222-2-2-22-2211-1-11-11-1−1−3i32−1+3i321+3i321−3i321-11-1−1+3i32−1−3i321−3i321+3i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ1054-4-44-2-2-2-442222-22-2-224-4111−1+3i32−1−3i32-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-222-2-2-22-2211-1-11-11-1−1+3i32−1−3i321−3i321+3i321-11-1−1−3i32−1+3i321+3i321−3i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ1064-4-44-2-2-2-442222-22-2-22-44111−1−3i32−1+3i322-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-222-2-22-22-2-1-111-11-111+3i321−3i32−1−3i32−1+3i32-11-111−3i321+3i32−1+3i32−1−3i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ1074-4-44-2-2-2-442222-22-2-22-44111−1+3i32−1−3i322-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-222-2-22-22-2-1-111-11-111−3i321+3i32−1+3i32−1−3i32-11-111+3i321−3i32−1−3i32−1+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ10888-8-88-4-400-884-44-4-84400-4-422200004-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-48-4004-4-884-44-8400-42-42200004-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-48004-44-4-8844-8002-4-4220000-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4004-44-44-444400222−1−3i3−1+3i30000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-4004-44-44-444400222−1+3i3−1−3i30000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-4-4008-8-4444-84-400-4-42220000-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-48-400-448-8444-8-400-42-4220000-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4800-44-44-8-8448002-4-42200002-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4-400-44-444444-400222−1−3i3−1+3i300002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-400-44-444444-400222−1+3i3−1−3i300002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000

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