Finite Group Databasebeta

← Group #13169265

Character table — Group #13169265

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order12223336666666663334666666666121212121212121244441212121236661212121212121212124444121212121212121212121212121212121212121212122212121212121212121212121222444666612126121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1111-1-111111111111111111111-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111-1111111-1-1-1-111-1-111111111-1-1111-11111-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-1111111111111111111-1-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1111
χ51111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11-11-1-1-1-111-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-11-1-1-1-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-11-1-1-1-11111-1-1-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-111111111-1-1-1-111-11-1-111-1-111-1-1-111-1-111-1-1111-1-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111111111-1-1-1-1111-11-1-1-11111-1-1-1-1-11111-1-1-1-1-1111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1111-1-1-1-11111-1-11-1-111-1-11-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-111-1-111-1-1111-111-1-1-11111-11-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-11111-1-1-11-1-111-1-111-1-11-111-1-1-11111-11-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-111-1-1-1-11111-1-11-11-1-1-11111-1-111-1-11-1-111-1-11-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111111-1-111-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-111-1-1-11111-1-1-1-1-111-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-1-1-1-1-11111111-111-1-111-1-111-111-1-111-1-1111-1-11-1
χ17222222-1-12-122-12222-1-122-1-1-12-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-12002-1-10022-1-1-1-12222-1-1-1-1-1-1-1-12200020000-1-1-1-120000-1-1-1-10000000
χ18222222-1-12-122-12222-1-122-1-1-12-1-12-1-1-122-1-1-1-122-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-1200-2-1-10022111122-2-2-1-1-1-1-1-1-1-1-2-2000-200001111-2000011110000000
χ19222222-1-12-122-12222-1-122-1-1-12-1-12-1-1-122-1-1-1-1-2-2221111-1-1-1-12-1-122-1-1-1-1-20021100-2-2-1-1-1-1-2-22211111111-2-200020000-1-1-1-1-2000011110000000
χ20222222-1-12-122-12222-1-122-1-1-12-1-12-1-1-122-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-200-21100-2-21111-2-2-2-21111111122000-20000111120000-1-1-1-10000000
χ21222222-1-12-122-12222-1-1-22-1-1-12-1-12-111-2-211112222-1-1-1-1-1-1-1-1-211-2-21111-200-21100-2-2-1-1112222-1-1-1-1111122000-20000-1-111-20000-1-1110000000
χ22222222-1-12-122-12222-1-1-22-1-1-12-1-12-111-2-2111122-2-2-1-1-1-1-1-1-1-1-211-2-21111-20021100-2-211-1-122-2-2-1-1-1-11111-2-20002000011-1-12000011-1-10000000
χ23222222-1-12-122-12222-1-1-22-1-1-12-1-12-111-2-21111-2-2221111-1-1-1-1-211-2-21111200-2-1-10022-1-111-2-2221111-1-1-1-1-2-2000-20000-1-1112000011-1-10000000
χ24222222-1-12-122-12222-1-1-22-1-1-12-1-12-111-2-21111-2-2-2-21111-1-1-1-1-211-2-211112002-1-1002211-1-1-2-2-2-21111-1-1-1-1220002000011-1-1-20000-1-1110000000
χ2522222-12222-1-12-122-12-12-122-1-1-1-1-1222-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-122202222-1-10000-1-100-1-1-1-1-1-1-1-100-1-120-1-1-1-1000002020000000-1-1000
χ2622222-12222-1-12-122-12-12-122-1-1-1-1-1222-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-12-2-2022-2-2-1-10000-1-100-1-1-1-1-1-1-1-10011-20111100000-20-2000000011000
χ2722222-12222-1-12-122-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2220-2-22211000011001111111100-1-120-1-1-1-100000-20-2000000011000
χ2822222-12222-1-12-122-12-12-122-1-1-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-2-20-2-2-2-21100001100111111110011-201111000002020000000-1-1000
χ2922222-12222-1-12-122-12-1-2-122-1-1-1-1-12-2-211111122002222-1-1-1-1-2-2-2111111-22-20-2-222110000-1-100-1-1-1-11111001-1-20-1-1110000020-20000000-11000
χ3022222-12222-1-12-122-12-1-2-122-1-1-1-1-12-2-211111122002222-1-1-1-1-2-2-2111111-2-220-2-2-2-2110000-1-100-1-1-1-1111100-112011-1-100000-20200000001-1000
χ3122222-12222-1-12-122-12-1-2-122-1-1-1-1-12-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-211111122-202222-1-1000011001111-1-1-1-1001-1-20-1-11100000-20200000001-1000
χ3222222-12222-1-12-122-12-1-2-122-1-1-1-1-12-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-21111112-22022-2-2-1-1000011001111-1-1-1-100-112011-1-10000020-20000000-11000
χ332222-1222-122222-1-1-1-122-1-1-12-122-1-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1022200-1-100222200-1-1000000000022-1-1-1-1-1-1-1-1-1-1002020000-1-100-100
χ342222-1222-122222-1-1-1-122-1-1-12-122-1-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-22001100222200-1-10000000000-2-21-11111-1-1-1-100-20-200001100100
χ352222-1222-122222-1-1-1-122-1-1-12-122-1-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1022-200-1-100-2-2-2-20011000000000022-11-1-1-1-1111100-20-200001100100
χ362222-1222-122222-1-1-1-122-1-1-12-122-1-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2001100-2-2-2-200110000000000-2-21111111111002020000-1-100-100
χ372222-1222-122222-1-1-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200220000-1-1-1-111111111102-2-200-1-10022-2-200-1-10000000000-2211-1-111-1-1110020-20000-1-100100
χ382222-1222-122222-1-1-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200220000-1-1-1-11111111110-22-200110022-2-200-1-100000000002-2-1111-1-1-1-11100-20200001100-100
χ392222-1222-122222-1-1-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-111111111102-2200-1-100-2-22200110000000000-221-1-1-11111-1-100-20200001100-100
χ402222-1222-122222-1-1-1-12-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-11111111110-222001100-2-222001100000000002-2-1-111-1-111-1-10020-20000-1-100100
χ412-22-22222-2-22-2-2-22-22220-2-222-2-2-22-2000000002i−2i2i−2i2i2i−2i−2i2-2-2200000000000000000002i−2i002i−2i2i−2i2i2i−2i−2i00002-2000000002i−2i00000002-2000000000
χ422-22-22222-2-22-2-2-22-22220-2-222-2-2-22-2000000002i−2i−2i2i2i2i−2i−2i2-2-220000000000000000000−2i2i002i−2i−2i2i2i2i−2i−2i0000-2200000000−2i2i0000000-22000000000
χ432-22-22222-2-22-2-2-22-22220-2-222-2-2-22-200000000−2i2i2i−2i−2i−2i2i2i2-2-2200000000000000000002i−2i00−2i2i2i−2i−2i−2i2i2i0000-22000000002i−2i0000000-22000000000
χ442-22-22222-2-22-2-2-22-22220-2-222-2-2-22-200000000−2i2i−2i2i−2i−2i2i2i2-2-220000000000000000000−2i2i00−2i2i−2i2i−2i−2i2i2i00002-200000000−2i2i00000002-2000000000
χ452-22-222-1-1-212-21-22-22-1-10-21-1-1-21121−i3i300−i3−i3i3i32i−2i2i−2i−i−iii-111-10−i3i300−i3−i3i3i300003−30000−ii3−32i−2i2i−2i−i−iii33−3−32-200000000−ii3−300000-11−i3i30000000
χ462-22-222-1-1-212-21-22-22-1-10-21-1-1-21121−i3i300−i3−i3i3i32i−2i−2i2i−i−iii-111-10−i3i300−i3−i3i3i300003−30000i−i−332i−2i−2i2i−i−iii33−3−3-2200000000i−i−33000001-1i3−i30000000
χ472-22-222-1-1-212-21-22-22-1-10-21-1-1-21121−i3i300−i3−i3i3i3−2i2i2i−2iii−i−i-111-10−i3i300−i3−i3i3i30000−330000−ii3−3−2i2i2i−2iii−i−i−3−333-2200000000−ii3−3000001-1i3−i30000000
χ482-22-222-1-1-212-21-22-22-1-10-21-1-1-21121−i3i300−i3−i3i3i3−2i2i−2i2iii−i−i-111-10−i3i300−i3−i3i3i30000−330000i−i−33−2i2i−2i2iii−i−i−3−3332-200000000i−i−3300000-11−i3i30000000
χ492-22-222-1-1-212-21-22-22-1-10-21-1-1-21121i3−i300i3i3−i3−i32i−2i2i−2i−i−iii-111-10i3−i300i3i3−i3−i30000−330000−ii−332i−2i2i−2i−i−iii−3−3332-200000000−ii−3300000-11i3−i30000000
χ502-22-222-1-1-212-21-22-22-1-10-21-1-1-21121i3−i300i3i3−i3−i32i−2i−2i2i−i−iii-111-10i3−i300i3i3−i3−i30000−330000i−i3−32i−2i−2i2i−i−iii−3−333-2200000000i−i3−3000001-1−i3i30000000
χ512-22-222-1-1-212-21-22-22-1-10-21-1-1-21121i3−i300i3i3−i3−i3−2i2i2i−2iii−i−i-111-10i3−i300i3i3−i3−i300003−30000−ii−33−2i2i2i−2iii−i−i33−3−3-2200000000−ii−33000001-1−i3i30000000
χ522-22-222-1-1-212-21-22-22-1-10-21-1-1-21121i3−i300i3i3−i3−i3−2i2i−2i2iii−i−i-111-10i3−i300i3i3−i3−i300003−30000i−i3−3−2i2i−2i2iii−i−i33−3−32-200000000i−i3−300000-11i3−i30000000
χ5344444-2-2-24-2-2-2-2-244-2-214-2-2-21-211-2-2-2-2-2-211114400-2-2-2-211114-2-2-2-211114000-2-200-2-20000-2-20011111111000000000000000000000000000000
χ5444444-2-2-24-2-2-2-2-244-2-214-2-2-21-211-2-2-2-2-2-21111-4-400222211114-2-2-2-21111-400022002200002200-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5544444-2-2-24-2-2-2-2-244-2-21-4-2-2-21-211-2-22222-1-1-1-14400-2-2-2-21111-42222-1-1-1-1-40002200220000-2-2001111-1-1-1-1000000000000000000000000000000
χ5644444-2-2-24-2-2-2-2-244-2-21-4-2-2-21-211-2-22222-1-1-1-1-4-40022221111-42222-1-1-1-14000-2-200-2-200002200-1-1-1-11111000000000000000000000000000000
χ574444-24-2-2-2-244-24-2-2-21-24-211-2-2-2-2-21-2-244-2-2-2-2004400001111-211-2-211110004000000-2-2-2-200-2-20000000000000-2000011110000000000000000
χ584444-24-2-2-2-244-24-2-2-21-24-211-2-2-2-2-21-2-244-2-2-2-200-4-400001111-211-2-21111000-400000022220022000000000000020000-1-1-1-10000000000000000
χ594444-24-2-2-2-244-24-2-2-21-2-4-211-2-2-2-2-2122-4-422220044000011112-1-122-1-1-1-1000-4000000-2-22200-2-200000000000002000011-1-10000000000000000
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χ7544-4-4-244-4-24-44-4-422-2-2402-22-4-24-4220000000000000000-2-2220000000000000002i3−2i30000000000000000000000002i3−2i30000000000000000000000
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χ7744-4-4-2-24-4-242-2-42221-2-20-1-2221-22-120023−2323−2323−230000000011-1-1000−33−33−330000002i3−2i3000000000000000000000000−i3i3−3i3i00000000000000000000
χ7844-4-4-2-24-4-242-2-42221-2-20-1-2221-22-1200−2323−2323−23230000000011-1-10003−33−33−3000000−2i32i3000000000000000000000000i3−i3−3i3i00000000000000000000
χ7944-4-4-2-24-4-242-2-42221-2-20-1-2221-22-1200−2323−2323−23230000000011-1-10003−33−33−30000002i3−2i3000000000000000000000000−i3i33i−3i00000000000000000000
χ804-44-44-244-4-4-22-424-4-24-202-44-2222-2-4000000004i−4i004i4i−4i−4i-222-200000000000000000000000−2i2i00−2i−2i2i2i0000000000000000000000000000000000
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χ864-44-4-24442-44-4-4-4-22-2-24022-242-4-4-2200000000004i−4i0000-222-200000000000000000004i−4i0000−2i2i000000000000000000−2i2i000000000000000000
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χ984-4-444-2-22-4222-2-2-44-2-210-222-12-112-200003i−3i−3i3i00002i3−2i3−2i32i31-11-1000003i−3i−3i3i0000000023−2300000000−i3i3i3−i3−333−3000000000000000000000000000000
χ994-4-444-2-22-4222-2-2-44-2-210-222-12-112-20000−3i3i3i−3i0000−2i32i32i3−2i31-11-100000−3i3i3i−3i0000000023−2300000000i3−i3−i3i3−333−3000000000000000000000000000000
χ1004-4-444-2-22-4222-2-2-44-2-210-222-12-112-20000−3i3i3i−3i00002i3−2i3−2i32i31-11-100000−3i3i3i−3i00000000−232300000000−i3i3i3−i33−3−33000000000000000000000000000000
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χ1098-88-8-4-4-4-444-4444-442220-2-222-2-2-22-2−4i34i3002i32i3−2i3−2i300000000-111-102i3−2i300−i3−i3i3i300000000000000000000000000000000000000000000000000000000
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χ1118-8-88-48-4444-8-8-484-4-42-40-4-2-2444-44200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).