Finite Group Databasebeta

← Group #13168757

Character table — Group #13168757

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666633346666666661212121212121212224466663666121212121212121212244466666612121212121212121212121212121212446666121212121212121224444661212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-111-11111111111-1-1111111111111-1-1-1-1-11-1-11111-1-1-1-11-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-1111111111-1-11111-1-1-1-11111-1-111111-111-1-1-1-1-11-11-1-1-1-1-1-1-11-11-1-1
χ4111111111111111111111111111111111111111-1-111111111111111111-11-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-11-111
χ51111111111111111111111111111111111111-1-111-1-1-1-111111111111111-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111111111111-11-1-111-1-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-11-11-1-1-1-1-1-1-11-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1-1-1-11-1-11111-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-111-1-1-111-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-11111-1-111-1-1-11111-1-11-1-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-1-1-1111-1-11111-1-111-1-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-111-11-1-1-1-11111-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-111-1-1-111-11-1-1-1-11111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11-11111-1-11-1-11111-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111-1-1111111111111-11-1-1-1-11111-1-1-11111-1-11-1-1-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-11111-1-111-1-111-1-1-111-1-1-1111-1
χ17222222-12-1222-1-122-12-12-122-1-1-1-12-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1202200000000-1-1-1-10022220000002-1-1-12-1-1-1-1-1-1-120200-1-100000-1000
χ18222222-12-1222-1-122-12-12-122-1-1-1-12-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1-202-200000000-1-111002222000000-2111-2-111-1-1-1-1-20-20011000001000
χ19222222-12-1222-1-122-12-12-122-1-1-1-12-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-120-220000000011-1-100-2-2-2-20000002-1-1-121-1-11111-20-20011000001000
χ20222222-12-1222-1-122-12-12-122-1-1-1-12-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-200000000111100-2-2-2-2000000-2111-2111111120200-1-100000-1000
χ21222222-12-1222-1-122-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-200220000-1-1-1-111111111120-2-200000000-1-1110022-2-20000002-1-1-1-2111-1-111-202001100000-1000
χ22222222-12-1222-1-122-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-200220000-1-1-1-1111111111-20-2200000000-1-1-1-10022-2-2000000-211121-1-1-1-11120-200-1-1000001000
χ23222222-12-1222-1-122-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-1111111111202-200000000111100-2-2220000002-1-1-1-2-11111-1-120-200-1-1000001000
χ24222222-12-1222-1-122-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-1111111111-20220000000011-1-100-2-222000000-21112-1-1-111-1-1-202001100000-1000
χ2522222-1222-12-122-122-1-122-1-1-12-1-1-1222-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-12202-1-1-1-1-1-1220022-1-10000-1-1-1-100-12-1-1-10-1-1000002020000000-10-100
χ2622222-1222-12-122-122-1-122-1-1-12-1-1-1222-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-1-220-2-1-1-1-1-1-12200-2-2-1-10000-1-1-1-1001-211101100000-20-2000000010100
χ2722222-1222-12-122-122-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-12-202111111-2-20022110000111100-12-1-1-10-1-100000-20-2000000010100
χ2822222-1222-12-122-122-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-20-2111111-2-200-2-21100001111001-2111011000002020000000-10-100
χ2922222-1222-12-122-122-1-1-22-1-1-12-1-1-12-2-211111122002222-1-1-1-1-2-2-21111112-20-2-1-1-1-1-1-1-2-200-2-2110000111100-12-1-1101100000-202000000010-100
χ3022222-1222-12-122-122-1-1-22-1-1-12-1-1-12-2-211111122002222-1-1-1-1-2-2-2111111-2-202-1-1-1-1-1-1-2-200221100001111001-211-10-1-10000020-20000000-10100
χ3122222-1222-12-122-122-1-1-22-1-1-12-1-1-12-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-2111111220-21111112200-2-2-1-10000-1-1-1-100-12-1-110110000020-20000000-10100
χ3222222-1222-12-122-122-1-1-22-1-1-12-1-1-12-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-2111111-2202111111220022-1-10000-1-1-1-1001-211-10-1-100000-202000000010-100
χ332222-122-122-12222-1-1-122-1-1-12-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1022022-1-1-1-1-1-1220022-1-1-1-1-1-1-1-12200000200-1-1-1-10000200-1-1-1-100000
χ342222-122-122-12222-1-1-122-1-1-12-122-1-1-1-122-1-1-1-122-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-102-2022-1-1-1-1-1-1-2-200221111-1-1-1-1-2-200000-20011110000-200111100000
χ352222-122-122-12222-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1-2-2221111-1-1-1-12-1-122-1-1-1-10-220-2-21111112200-2-2-1-1-1-11111-2-200000200-1-1-1-10000-200111100000
χ362222-122-122-12222-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-2-20-2-2111111-2-200-2-2111111112200000-20011110000200-1-1-1-100000
χ372222-122-122-12222-1-1-12-2-1-1-12-122-1-111-2-211112222-1-1-1-1-1-1-1-1-211-2-211110-2-2022-1-1-1-1112200-2-2-1-11111112200000-200-1-1110000-200-1-11100000
χ382222-122-122-12222-1-1-12-2-1-1-12-122-1-111-2-2111122-2-2-1-1-1-1-1-1-1-1-211-2-211110-22022-1-1-1-111-2-200-2-211-1-11111-2-20000020011-1-1000020011-1-100000
χ392222-122-122-12222-1-1-12-2-1-1-12-122-1-111-2-21111-2-2221111-1-1-1-1-211-2-2111102-20-2-21111-1-1220022-1-111-1-1-1-1-2-200000-200-1-111000020011-1-100000
χ402222-122-122-12222-1-1-12-2-1-1-12-122-1-111-2-21111-2-2-2-21111-1-1-1-1-211-2-211110220-2-21111-1-1-2-2002211-1-1-1-1-1-1220000020011-1-10000-200-1-11100000
χ412-22-2222-22-22-2-2-22-22220-2-2-2-222-22-2000000002-22i−2i22-2-22-2-2200000000000002-222-2-2002i−2i00002i−2i0000002i−2i000000002i−2i0000000002i−2i0000000
χ422-22-2222-22-22-2-2-22-22220-2-2-2-222-22-2000000002-2−2i2i22-2-22-2-2200000000000002-222-2-200−2i2i0000−2i2i000000−2i2i00000000−2i2i000000000−2i2i0000000
χ432-22-2222-22-22-2-2-22-22220-2-2-2-222-22-200000000-222i−2i-2-2222-2-220000000000000-22-2-222002i−2i00002i−2i000000−2i2i000000002i−2i000000000−2i2i0000000
χ442-22-2222-22-22-2-2-22-22220-2-2-2-222-22-200000000-22−2i2i-2-2222-2-220000000000000-22-2-22200−2i2i0000−2i2i0000002i−2i00000000−2i2i0000000002i−2i0000000
χ452-22-2-12212-2-1-2-2-221-1-120111-2-12-2-11−i3i300−i3−i3i3i32-22i−2i-1-111-111-10−i3i300−i3−i3i3i300002-2-1-111−i3i32i−2i0000−ii3−3−i3−i3i3i32i−2i00000000−ii3−30000000−ii3−300000
χ462-22-2-12212-2-1-2-2-221-1-120111-2-12-2-11−i3i300−i3−i3i3i32-2−2i2i-1-111-111-10−i3i300−i3−i3i3i300002-2-1-111−i3i3−2i2i0000i−i−33−i3−i3i3i3−2i2i00000000i−i−330000000i−i−3300000
χ472-22-2-12212-2-1-2-2-221-1-120111-2-12-2-11−i3i300−i3−i3i3i3-222i−2i11-1-1-111-10−i3i300−i3−i3i3i30000-2211-1-1i3−i32i−2i0000−ii3−3i3i3−i3−i3−2i2i00000000−ii3−30000000i−i−3300000
χ482-22-2-12212-2-1-2-2-221-1-120111-2-12-2-11−i3i300−i3−i3i3i3-22−2i2i11-1-1-111-10−i3i300−i3−i3i3i30000-2211-1-1i3−i3−2i2i0000i−i−33i3i3−i3−i32i−2i00000000i−i−330000000−ii3−300000
χ492-22-2-12212-2-1-2-2-221-1-120111-2-12-2-11i3−i300i3i3−i3−i32-22i−2i-1-111-111-10i3−i300i3i3−i3−i300002-2-1-111i3−i32i−2i0000−ii−33i3i3−i3−i32i−2i00000000−ii−330000000−ii−3300000
χ502-22-2-12212-2-1-2-2-221-1-120111-2-12-2-11i3−i300i3i3−i3−i32-2−2i2i-1-111-111-10i3−i300i3i3−i3−i300002-2-1-111i3−i3−2i2i0000i−i3−3i3i3−i3−i3−2i2i00000000i−i3−30000000i−i3−300000
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χ522-22-2-12212-2-1-2-2-221-1-120111-2-12-2-11i3−i300i3i3−i3−i3-22−2i2i11-1-1-111-10i3−i300i3i3−i3−i30000-2211-1-1−i3i3−2i2i0000i−i3−3−i3−i3i3i32i−2i00000000i−i3−30000000−ii−3300000
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χ804-44-444-2-4-2-44-4224-4-24-202-4-42-2-224200000000004i−4i0000-222-2000000000000000000000−2i2i00004i−4i0000000000000000−2i2i000000000000000000
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χ894-44-4-2-24242-22-4-4-22-21-202-1-12-2-2212−2i32i300i3i3−i3−i3-440022-2-21-1-110−2i32i300i3i3−i3−i300002-2-1-1112i3−2i30000000000−i3−i3i3i3000000000000000000000000000000
χ904-44-4-2-24242-22-4-4-22-21-202-1-12-2-22122i3−2i300−i3−i3i3i34-400-2-2221-1-1102i3−2i300−i3−i3i3i30000-2211-1-12i3−2i30000000000−i3−i3i3i3000000000000000000000000000000
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χ984-4-44-2442-442-4-44-4-2-2-24022-2-42-442-20000000000002i3−2i3−2i32i3-22-220000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ994-4-44-2-242-4-222-442-2-21-202-11222-2-1-200003i−3i−3i3i0000−2i32i32i3−2i31-11-1000003i−3i−3i3i000000i3−i3−i3i300000023−230000−333−3000000000000000000000000000000
χ1004-4-44-2-242-4-222-442-2-21-202-11222-2-1-200003i−3i−3i3i00002i3−2i3−2i32i31-11-1000003i−3i−3i3i000000−i3i3i3−i3000000−232300003−3−33000000000000000000000000000000
χ1014-4-44-2-242-4-222-442-2-21-202-11222-2-1-20000−3i3i3i−3i0000−2i32i32i3−2i31-11-100000−3i3i3i−3i000000i3−i3−i3i3000000−232300003−3−33000000000000000000000000000000
χ1024-4-44-2-242-4-222-442-2-21-202-11222-2-1-20000−3i3i3i−3i00002i3−2i3−2i32i31-11-100000−3i3i3i−3i000000−i3i3i3−i300000023−230000−333−3000000000000000000000000000000
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χ10788-8-8-4-4-4-4444-4-4444222022-22-2-2-2-2-200−434323−2323−2300000000-1-11100023−23−33−3300000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4-8-448444-4-8-4-420444-2-42-2-4400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-44-44-4444-442220-2-2-2-222-22-2−4i34i3002i32i3−2i3−2i300000000-111-102i3−2i300−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44-44-4444-442220-2-2-2-222-22-24i3−4i300−2i3−2i32i32i300000000-111-10−2i32i300i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-4-84-4-844-448-4-42044-4-24-224-400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-44484-84-4-8-42-4-40-24-44-24-44200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444-4444-44-42220-2-22-2-2-22-2200006i−6i−6i6i00000000-11-1100000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444-4444-44-42220-2-22-2-2-22-220000−6i6i6i−6i00000000-11-11000003i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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