Finite Group Databasebeta

← Group #13169351

Character table — Group #13169351

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order12223336666666663334666666666121212121212121244441212121236661212121212121212122444666666661212121212121212121212121212441212121212121212121212124444412121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-111111111-1-111111111111111-1-11-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-111-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-11-1-11-1-1-1-1-1-11-1111
χ51111111111111111111111111111111111111-1-1111111111111111111111-111111111111-1-1-1-1-1-1111111-1-111-111111-1-1-1-1-11-1-11-1-1-1-1-1-11-11-1-1
χ61111111111111111111111111111111111111-1-111111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-11-1-1-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111111-1-1-111-1-111-1-1-11-11-11111-1-11-1-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-11-1-11111-1-1-1-11-11-1-111-1-1-1111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111111111-1-111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11-1-11111-1-111-1-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1111-1-1-1-1-1-11111-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-11-11-111-1-1-1-111111-1-1-1-1-1-11111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1111-1-111-1-1111-1-11111-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-11111111111-1-111-1-1-1-1-1-1-1-1111-11-111-1-1-1-111-1-11-11-1-111-1-1-111-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-111-1-111-11-11-11111-1-11-1-11-1
χ17222222-122-1-12222-12-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1202022-1-1-1-1-1-100-1-1-1-12222-1-1-1-12200200000-1-1-1-12000000-1-1-1-100000
χ18222222-122-1-12222-12-1-122-1-1-1-122-1-1-1-122-1-1-1-122-2-21111-1-1-1-12-1-122-1-1-1-1-2020-2-211111100-1-1-1-122-2-21111-2-200200000-1-1-1-1-2000000111100000
χ19222222-122-1-12222-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-120-2022-1-1-1-1-1-1001111-2-222-1-1-1-1-2-200-2000001111-2000000111100000
χ20222222-122-1-12222-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20-20-2-2111111001111-2-2-2-211112200-20000011112000000-1-1-1-100000
χ21222222-122-1-12222-12-1-1-22-1-1-1-122-1-111-2-211112222-1-1-1-1-1-1-1-1-211-2-21111-20-20-2-211111100-1-1112222-1-1-1-12200-200000-1-111-2000000-1-11100000
χ22222222-122-1-12222-12-1-1-22-1-1-1-122-1-111-2-2111122-2-21111-1-1-1-1-211-2-2111120-2022-1-1-1-1-1-100-1-11122-2-21111-2-200-200000-1-111200000011-1-100000
χ23222222-122-1-12222-12-1-1-22-1-1-1-122-1-111-2-21111-2-222-1-1-1-1-1-1-1-1-211-2-21111-2020-2-21111110011-1-1-2-222-1-1-1-1-2-20020000011-1-1200000011-1-100000
χ24222222-122-1-12222-12-1-1-22-1-1-1-122-1-111-2-21111-2-2-2-21111-1-1-1-1-211-2-21111202022-1-1-1-1-1-10011-1-1-2-2-2-21111220020000011-1-1-2000000-1-11100000
χ2522222-12-1222-122-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-12202-1-122-1-1-1-122000000-1-1-1-1-1-100-120-1-1-1-1-1000002002000000-10-100
χ2622222-12-1222-122-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-12-20-2-1-122-1-1-1-1-2-2000000-1-1-1-1-1-1001-201111100000-200-200000010100
χ2722222-12-1222-122-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-220211-2-211112200000011111100-120-1-1-1-1-100000-200-200000010100
χ2822222-12-1222-122-12-12-12-12-1-12-1-1-1222-1-1-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-20-211-2-21111-2-2000000111111001-2011111000002002000000-10-100
χ2922222-12-1222-122-12-12-1-2-12-1-12-1-1-12-2-211111100222222-1-1-1-1-2-2-2111111-220-211-2-2111122000000-1-1-1-1-1-100-1-201-1-11100000200-2000000-10100
χ3022222-12-1222-122-12-12-1-2-12-1-12-1-1-12-2-211111100222222-1-1-1-1-2-2-2111111-2-20211-2-21111-2-2000000-1-1-1-1-1-100120-111-1-100000-200200000010-100
χ3122222-12-1222-122-12-12-1-2-12-1-12-1-1-12-2-211111100-2-2-2-2-2-2-1-1-1-1-2-2-2111111220-2-1-122-1-1-1-12200000011111100-1-201-1-11100000-200200000010-100
χ3222222-12-1222-122-12-12-1-2-12-1-12-1-1-12-2-211111100-2-2-2-2-2-2-1-1-1-1-2-2-21111112-202-1-122-1-1-1-1-2-200000011111100120-111-1-100000200-2000000-10100
χ332222-1222-1222-1-122-1-122-1-122-1-1-12-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1022200000000-1-12222-1-1000000002-1-12-1-1-1-1-1-1-1-100220-1-100000-1000
χ342222-1222-1222-1-122-1-122-1-122-1-1-12-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-10-22-200000000112222-1-100000000-21-1-21111-1-1-1-100-2-2011000001000
χ352222-1222-1222-1-122-1-122-1-122-1-1-12-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-102-2200000000-1-1-2-2-2-211000000002-112-1-1-1-1111100-2-2011000001000
χ362222-1222-1222-1-122-1-122-1-122-1-1-12-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-20000000011-2-2-2-21100000000-211-21111111100220-1-100000-1000
χ372222-1222-1222-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-222000000-1-1-1-111111111102-2-200000000-1-122-2-2-1-100000000211-2-1-111-1-11100-220-1-1000001000
χ382222-1222-1222-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-222000000-1-1-1-11111111110-2-22000000001122-2-2-1-100000000-2-11211-1-1-1-111002-201100000-1000
χ392222-1222-1222-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1111111111022-200000000-1-1-2-222110000000021-1-2-1-11111-1-1002-201100000-1000
χ402222-1222-1222-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-11111111110-2220000000011-2-2221100000000-2-1-1211-1-111-1-100-220-1-1000001000
χ412-2-22222-2-22-2-22-22-22220-2-2-2-22-222-2000000002i−2i2-222-2-22-2-22000000000000000000000002i−2i002i−2i2-222-2-22i−2i000000002i−2i0000000002i−2i0000000
χ422-2-22222-2-22-2-22-22-22220-2-2-2-22-222-2000000002i−2i-22-2-2222-2-22000000000000000000000002i−2i002i−2i-22-2-222−2i2i000000002i−2i000000000−2i2i0000000
χ432-2-22222-2-22-2-22-22-22220-2-2-2-22-222-200000000−2i2i2-222-2-22-2-2200000000000000000000000−2i2i00−2i2i2-222-2-2−2i2i00000000−2i2i000000000−2i2i0000000
χ442-2-22222-2-22-2-22-22-22220-2-2-2-22-222-200000000−2i2i-22-2-2222-2-2200000000000000000000000−2i2i00−2i2i-22-2-2222i−2i00000000−2i2i0000000002i−2i0000000
χ452-2-2222-1-2-2-11-22-2212-1-10-2111-1-22-11−i3i300−i3−i3i3i32i−2i2-2-1-111-111-10−i3i300−i3−i3i3i3000000−i3i3−i3−i3i3i300−ii3−32i−2i2-2-1-1112i−2i00000000−ii3−30000000−ii3−300000
χ462-2-2222-1-2-2-11-22-2212-1-10-2111-1-22-11−i3i300−i3−i3i3i32i−2i-2211-1-1-111-10−i3i300−i3−i3i3i3000000i3−i3i3i3−i3−i300−ii3−32i−2i-2211-1-1−2i2i00000000−ii3−30000000i−i−3300000
χ472-2-2222-1-2-2-11-22-2212-1-10-2111-1-22-11−i3i300−i3−i3i3i3−2i2i2-2-1-111-111-10−i3i300−i3−i3i3i3000000−i3i3−i3−i3i3i300i−i−33−2i2i2-2-1-111−2i2i00000000i−i−330000000i−i−3300000
χ482-2-2222-1-2-2-11-22-2212-1-10-2111-1-22-11−i3i300−i3−i3i3i3−2i2i-2211-1-1-111-10−i3i300−i3−i3i3i3000000i3−i3i3i3−i3−i300i−i−33−2i2i-2211-1-12i−2i00000000i−i−330000000−ii3−300000
χ492-2-2222-1-2-2-11-22-2212-1-10-2111-1-22-11i3−i300i3i3−i3−i32i−2i2-2-1-111-111-10i3−i300i3i3−i3−i3000000i3−i3i3i3−i3−i300−ii−332i−2i2-2-1-1112i−2i00000000−ii−330000000−ii−3300000
χ502-2-2222-1-2-2-11-22-2212-1-10-2111-1-22-11i3−i300i3i3−i3−i32i−2i-2211-1-1-111-10i3−i300i3i3−i3−i3000000−i3i3−i3−i3i3i300−ii−332i−2i-2211-1-1−2i2i00000000−ii−330000000i−i3−300000
χ512-2-2222-1-2-2-11-22-2212-1-10-2111-1-22-11i3−i300i3i3−i3−i3−2i2i2-2-1-111-111-10i3−i300i3i3−i3−i3000000i3−i3i3i3−i3−i300i−i3−3−2i2i2-2-1-111−2i2i00000000i−i3−30000000i−i3−300000
χ522-2-2222-1-2-2-11-22-2212-1-10-2111-1-22-11i3−i300i3i3−i3−i3−2i2i-2211-1-1-111-10i3−i300i3i3−i3−i3000000−i3i3−i3−i3i3i300i−i3−3−2i2i-2211-1-12i−2i00000000i−i3−30000000−ii−3300000
χ5344444-2-2-24-2-2-244-2-2-2-214-2-211-2-2-21-2-2-2-2-211110044-2-2-2-211114-2-2-2-211114000-2-2-2-2111100000000-2-21111000000000000000000000000000000
χ5444444-2-2-24-2-2-244-2-2-2-214-2-211-2-2-21-2-2-2-2-2111100-4-4222211114-2-2-2-21111-40002222-1-1-1-10000000022-1-1-1-1000000000000000000000000000000
χ5544444-2-2-24-2-2-244-2-2-2-21-4-2-211-2-2-21-22222-1-1-1-10044-2-2-2-21111-42222-1-1-1-1-40002222-1-1-1-100000000-2-21111000000000000000000000000000000
χ5644444-2-2-24-2-2-244-2-2-2-21-4-2-211-2-2-21-22222-1-1-1-100-4-422221111-42222-1-1-1-14000-2-2-2-211110000000022-1-1-1-1000000000000000000000000000000
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χ584444-24-24-2-2-24-2-24-2-21-24-21-2-21-2-2-21-2-244-2-2-2-2-4-40000001111-211-2-2111100-4000000000002222220000000000200000-1-1-1-10000000000000000
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χ7744-4-4-2-242-2-4-4-222241-2-20-1-2-2221-1220023−2323−2323−230000000011-1-1000−33−33−330000000000002i3−2i3000000000000000000−i3i3−3i3i00000000000000000000
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χ934-4-444-2-22-4-2224-4-22-2-21022-1-1-22-212−2i32i300i3i3−i3−i3004-4-2-2221-1-110−2i32i300i3i3−i3−i3000000−2i32i3i3i3−i3−i300000000-2211-1-1000000000000000000000000000000
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χ954-4-444-2-22-4-2224-4-22-2-21022-1-1-22-2122i3−2i300−i3−i3i3i3004-4-2-2221-1-1102i3−2i300−i3−i3i3i30000002i3−2i3−i3−i3i3i300000000-2211-1-1000000000000000000000000000000
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χ994-4-44-24-2-42-22-4-2242-21-202-12212-2-2-1−2i32i300−2i3−2i32i32i34i−4i0000001-1-110i3−i300i3i3−i3−i300000000000000−2i2i23−23−2i2i0000000000000000i−i−330000000000000000
χ1004-4-44-24-2-42-22-4-2242-21-202-12212-2-2-1−2i32i300−2i3−2i32i32i3−4i4i0000001-1-110i3−i300i3i3−i3−i3000000000000002i−2i−23232i−2i0000000000000000−ii3−30000000000000000
χ1014-4-44-24-2-42-22-4-2242-21-202-12212-2-2-12i3−2i3002i32i3−2i3−2i34i−4i0000001-1-110−i3i300−i3−i3i3i300000000000000−2i2i−2323−2i2i0000000000000000i−i3−30000000000000000
χ1024-4-44-24-2-42-22-4-2242-21-202-12212-2-2-12i3−2i3002i32i3−2i3−2i3−4i4i0000001-1-110−i3i300−i3−i3i3i3000000000000002i−2i23−232i−2i0000000000000000−ii−330000000000000000
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χ10588-8-8-48-4-8-444844-8-4-42-4042-44-2-444-2000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-444-4444-42220-222-2-22-2-2-20043−43−2323−232300000000-1-111000−23233−33−300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-44-444-4444-42220-222-2-22-2-2-200−434323−2323−2300000000-1-11100023−23−33−3300000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-4844-4-84-4-84-42-40-4-24-4-2444200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48-44-8844-44-82-4-40244-44-2-24-400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-444-444-44422202-2-22-2-2-2-2200006i−6i−6i6i00000000-11-1100000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-444-444-44422202-2-22-2-2-2-220000−6i6i6i−6i00000000-11-11000003i−3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48448-84-44-4-82-4-40-2444-4-22-4400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444-444-44-442220-2-2-2-22-222-2−4i34i3002i32i3−2i3−2i300000000-111-102i3−2i300−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444-444-44-442220-2-2-2-22-222-24i3−4i300−2i3−2i32i32i300000000-111-10−2i32i300i3i3−i3−i300000000000000000000000000000000000000000000000000000000

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