Finite Group Databasebeta

← Group #13169352

Character table — Group #13169352

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666633346666666661212121212121212444412121212366612121212121212121244441212121212121212121212121212121212121212121244121212121212121212121212244441212121212126121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-1-1-11111111111111111111111-1-11-1-1-1-1-11111-11-1-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-111-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-1-11-1-1-1-1-1-111-111
χ51111111111111111111111111111111111111-1-1111111111111111111111-111111-1-1-1-111-1-11111111111-1-111-111111-1-1-1-11-1-1-11-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-11-1-1-1-1-11111-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-11111-1-1-1-111-11-1-111-1-111-1-11-1-11-11111-1-11-1-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1-1-1111-1-11-1-11111-1-1-1-11-11-1-111-1-1-111-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-111-1-1-11-11111-1-111-11-1-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-11-1-11111-1-1111-1-1-1-1-1-1111-111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-111-1-1-1-111111-1-1-1-1-1-1111-11-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-111-11-11111-1-111-11-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-11111-1-111-1-1-1-111-1-1-1-1111111-111-111-1-1-1-111-1-11-11-1-111-1-1-1111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-111-1-1-1-11111111-111-1-111-1-1111-1-11-11111-1-11-1-1-11
χ17222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-100222222-1-1-1-12-1-122-1-1-1-1220222-1-10000-1-10022-1-1-1-1-1-1-1-100-1-102-1-1-1-1000020002000000-1-1000
χ18222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-100222222-1-1-1-12-1-122-1-1-1-12-20-2-2-2-1-10000-1-10022-1-1-1-1-1-1-1-100110-211110000-2000-200000011000
χ19222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2202221100001100-2-21111111100-1-102-1-1-1-10000-2000-200000011000
χ20222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-20-2-2-21100001100-2-21111111100110-21111000020002000000-1-1000
χ21222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-2111100222222-1-1-1-1-211-2-21111-220-222110000-1-100-2-2-1-1-1-11111001-10-2-1-11100002000-2000000-11000
χ22222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-2111100222222-1-1-1-1-211-2-21111-2-202-2-2110000-1-100-2-2-1-1-1-1111100-110211-1-10000-200020000001-1000
χ23222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-2111100-2-2-2-2-2-2-1-1-1-1-211-2-21111220-222-1-100001100221111-1-1-1-1001-10-2-1-1110000-200020000001-1000
χ24222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-2111100-2-2-2-2-2-2-1-1-1-1-211-2-211112-202-2-2-1-100001100221111-1-1-1-100-110211-1-100002000-2000000-11000
χ2522222-122-1222-12-12-12-12-1-1-1222-1-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-10222-1-100222200-1-100000000000022-1-1-1-1-1-1-1-1-1-100220-1-1000000-100
χ2622222-122-1222-12-12-12-12-1-1-1222-1-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-10-22-21100222200-1-1000000000000-2-2-111111-1-1-1-100-2-2011000000100
χ2722222-122-1222-12-12-12-12-1-1-1222-1-1-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-102-22-1-100-2-2-2-20011000000000000221-1-1-1-1-1111100-2-2011000000100
χ2822222-122-1222-12-12-12-12-1-1-1222-1-1-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-21100-2-2-2-20011000000000000-2-2111111111100220-1-1000000-100
χ2922222-122-1222-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-222000000-1-1-1-111111111102-2-2-1-10022-2-200-1-1000000000000-2211-1-111-1-11100-220-1-1000000100
χ3022222-122-1222-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-222000000-1-1-1-11111111110-2-22110022-2-200-1-10000000000002-21-111-1-1-1-111002-2011000000-100
χ3122222-122-1222-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1111111111022-2-1-100-2-2220011000000000000-22-11-1-11111-1-1002-2011000000-100
χ3222222-122-1222-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-11111111110-2221100-2-22200110000000000002-2-1-111-1-111-1-100-220-1-1000000100
χ332222-122-1222-1222-1-1-122-1-12-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120200022-1-1-1-12222-1-1-1-1-1-1-1-1-1-12200200000-1-1-1-10200000-1-1-1-100000
χ342222-122-1222-1222-1-1-122-1-12-1-1-122-122-1-1-1-1-1-122-2-21111-1-1-1-1222-1-1-1-1-1-1-202000-2-2-1-1-1-1-2-2221111111111-2-200200000-1-1-1-10-200000111100000
χ352222-122-1222-1222-1-1-122-1-12-1-1-122-122-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120-200022111122-2-2-1-1-1-1-1-1-1-1-1-1-2-200-20000011110-200000111100000
χ362222-122-1222-1222-1-1-122-1-12-1-1-122-122-1-1-1-1-1-1-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-20-2000-2-21111-2-2-2-211111111112200-20000011110200000-1-1-1-100000
χ372222-122-1222-1222-1-1-12-2-1-12-1-1-122-1-2-21111112222-1-1-1-1-1-1-1-1-2-2-2111111-20-2000-2-2-1-111222211-1-1-1-111112200-200000-1-1110-200000-1-11100000
χ382222-122-1222-1222-1-1-12-2-1-12-1-1-122-1-2-211111122-2-21111-1-1-1-1-2-2-211111120-200022-1-111-2-222-1-11111-1-1-1-1-2-200-200000-1-111020000011-1-100000
χ392222-122-1222-1222-1-1-12-2-1-12-1-1-122-1-2-2111111-2-222-1-1-1-1-1-1-1-1-2-2-2111111-202000-2-211-1-122-2-211-1-1-1-11111-2-20020000011-1-1020000011-1-100000
χ402222-122-1222-1222-1-1-12-2-1-12-1-1-122-1-2-2111111-2-2-2-21111-1-1-1-1-2-2-21111112020002211-1-1-2-2-2-2-1-11111-1-1-1-1220020000011-1-10-200000-1-11100000
χ412-22-2222-2-22-22-2-22-22220-2-2-22-2-2-222000000002-22i−2i2i2i−2i−2i2-2-22000000000000000002-2002i−2i2-2002i2i−2i−2i00002i−2i000000002-20000000002i−2i0000000
χ422-22-2222-2-22-22-2-22-22220-2-2-22-2-2-222000000002-2−2i2i−2i−2i2i2i2-2-22000000000000000002-200−2i2i2-200−2i−2i2i2i0000−2i2i000000002-2000000000−2i2i0000000
χ432-22-2222-2-22-22-2-22-22220-2-2-22-2-2-22200000000-222i−2i2i2i−2i−2i2-2-2200000000000000000-22002i−2i-22002i2i−2i−2i0000−2i2i00000000-22000000000−2i2i0000000
χ442-22-2222-2-22-22-2-22-22220-2-2-22-2-2-22200000000-22−2i2i−2i−2i2i2i2-2-2200000000000000000-2200−2i2i-2200−2i−2i2i2i00002i−2i00000000-220000000002i−2i0000000
χ452-22-2-1221-22-2-1-2-221-1-12011-2-111-22-100−i3i3−i3−i3i3i32-22i−2i−i−iii-111-1000−i3i3−i3−i3i3i300000000-11−i3i32i−2i2-23−3−i−iii33−3−32i−2i00000000-11−i3i30000000−ii3−300000
χ462-22-2-1221-22-2-1-2-221-1-12011-2-111-22-100−i3i3−i3−i3i3i32-2−2i2iii−i−i-111-1000−i3i3−i3−i3i3i300000000-11−i3i3−2i2i2-2−33ii−i−i−3−333−2i2i00000000-11−i3i30000000i−i−3300000
χ472-22-2-1221-22-2-1-2-221-1-12011-2-111-22-100−i3i3−i3−i3i3i3-222i−2i−i−iii-111-1000−i3i3−i3−i3i3i3000000001-1i3−i32i−2i-223−3−i−iii33−3−3−2i2i000000001-1i3−i30000000i−i−3300000
χ482-22-2-1221-22-2-1-2-221-1-12011-2-111-22-100−i3i3−i3−i3i3i3-22−2i2iii−i−i-111-1000−i3i3−i3−i3i3i3000000001-1i3−i3−2i2i-22−33ii−i−i−3−3332i−2i000000001-1i3−i30000000−ii3−300000
χ492-22-2-1221-22-2-1-2-221-1-12011-2-111-22-100i3−i3i3i3−i3−i32-22i−2i−i−iii-111-1000i3−i3i3i3−i3−i300000000-11i3−i32i−2i2-2−33−i−iii−3−3332i−2i00000000-11i3−i30000000−ii−3300000
χ502-22-2-1221-22-2-1-2-221-1-12011-2-111-22-100i3−i3i3i3−i3−i32-2−2i2iii−i−i-111-1000i3−i3i3i3−i3−i300000000-11i3−i3−2i2i2-23−3ii−i−i33−3−3−2i2i00000000-11i3−i30000000i−i3−300000
χ512-22-2-1221-22-2-1-2-221-1-12011-2-111-22-100i3−i3i3i3−i3−i3-222i−2i−i−iii-111-1000i3−i3i3i3−i3−i3000000001-1−i3i32i−2i-22−33−i−iii−3−333−2i2i000000001-1−i3i30000000i−i3−300000
χ522-22-2-1221-22-2-1-2-221-1-12011-2-111-22-100i3−i3i3i3−i3−i3-22−2i2iii−i−i-111-1000i3−i3i3i3−i3−i3000000001-1−i3i3−2i2i-223−3ii−i−i33−3−32i−2i000000001-1−i3i30000000−ii−3300000
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χ5544444-2-24-2-2-24-2-2-24-2-21-4-2-21-2-2-211-222-4-422220000000011112-1-122-1-1-1-1040-4-2-200000000000000000000002-20211-1-100000000000000000000
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χ574444-24-2-24-2-2-24-24-2-21-24-2-2-2111-2-2-2-2-2-2-211110044-2-2-2-211114-2-2-2-21111400000-2-20000-2-200-2-211111111000000000000000000000000000000
χ584444-24-2-24-2-2-24-24-2-21-24-2-2-2111-2-2-2-2-2-2-2111100-4-4222211114-2-2-2-21111-400000220000220022-1-1-1-1-1-1-1-1000000000000000000000000000000
χ594444-24-2-24-2-2-24-24-2-21-2-4-2-2-2111-2-2-22222-1-1-1-10044-2-2-2-21111-42222-1-1-1-1-400000220000-2-200221111-1-1-1-1000000000000000000000000000000
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χ7744-4-4-24-2242-22-42-4-2-21-20-222-11-1-22223−2300−33−330000−2323−232311-1-1023−2300−33−330000000000000000003−33−3-33-33000000000000000000000000000000
χ7844-4-4-24-2242-22-42-4-2-21-20-222-11-1-222−2323003−33−3000023−2323−2311-1-10−2323003−33−3000000000000000000−33−33-33-33000000000000000000000000000000
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χ804-44-444-2-4-4-224-424-44-2-20-4-42-2222-2400000000004i−4i4i4i−4i−4i-222-2000000000000000000000−2i2i0000−2i−2i2i2i0000000000000000000000000000000000
χ814-44-444-2-4-4-224-424-44-2-20-4-42-2222-240000000000−4i4i−4i−4i4i4i-222-20000000000000000000002i−2i00002i2i−2i−2i0000000000000000000000000000000000
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χ864-44-4-24-22-4-22-2-4242-21-202221-1-12-2-2002i3−2i3−i3−i3i3i3004i−4i−2i−2i2i2i1-1-110002i3−2i3−i3−i3i3i3000000000000−2i2i00−2323ii−i−i33−3−3000000000000000000000000000000
χ874-44-4-24-22-4-22-2-4242-21-202221-1-12-2-2002i3−2i3−i3−i3i3i300−4i4i2i2i−2i−2i1-1-110002i3−2i3−i3−i3i3i30000000000002i−2i0023−23−i−iii−3−333000000000000000000000000000000
χ884-44-4-2-24224-4-22-4-221-2-20-1-12-2222-2100−2i32i3−2i3−2i32i32i34-40000001-1-11000i3−i3i3i3−i3−i300000000-22−2i32i300-22000000000000000000001-1i3−i30000000000000000
χ894-44-4-2-24224-4-22-4-221-2-20-1-12-2222-2100−2i32i3−2i3−2i32i32i3-440000001-1-11000i3−i3i3i3−i3−i3000000002-22i3−2i3002-200000000000000000000-11−i3i30000000000000000
χ904-44-4-2-24224-4-22-4-221-2-20-1-12-2222-21002i3−2i32i32i3−2i3−2i34-40000001-1-11000−i3i3−i3−i3i3i300000000-222i3−2i300-22000000000000000000001-1−i3i30000000000000000
χ914-44-4-2-24224-4-22-4-221-2-20-1-12-2222-21002i3−2i32i32i3−2i3−2i3-440000001-1-11000−i3i3−i3−i3i3i3000000002-2−2i32i3002-200000000000000000000-11i3−i30000000000000000
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χ934-4-4444-24-422-44-2-4-44-2-20-44-222-222-40000000000000000-22-2200000000000000023−230000000000000023−23−2323000000000000000000000000000000
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χ964-4-444-2442-4-4-4-242-4-24-202-2-2-4-442220000000000000000-22-220000000000000000000000000000000000000000000000000000002i3−2i3000000000
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χ984-4-44-244-2-4-4-4244-42-2-2402-2422-2-4-420000000000002i3−2i3−2i32i3-22-220000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ994-4-44-24-2-2-42224-2-42-21-202-2-2-1-1122200003i−3i−3i3i0000−2i32i32i3−2i31-11-1000003i−3i−3i3i000000−23230000000000i3−i3−i3i33−3−33000000000000000000000000000000
χ1004-4-44-24-2-2-42224-2-42-21-202-2-2-1-1122200003i−3i−3i3i00002i3−2i3−2i32i31-11-1000003i−3i−3i3i00000023−230000000000−i3i3i3−i3−333−3000000000000000000000000000000
χ1014-4-44-24-2-2-42224-2-42-21-202-2-2-1-112220000−3i3i3i−3i0000−2i32i32i3−2i31-11-100000−3i3i3i−3i00000023−230000000000i3−i3−i3i3−333−3000000000000000000000000000000
χ1024-4-44-24-2-2-42224-2-42-21-202-2-2-1-112220000−3i3i3i−3i00002i3−2i3−2i32i31-11-100000−3i3i3i−3i000000−23230000000000−i3i3i3−i33−3−33000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-484-4-8844-84-42-4-402-244-44-44-2000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-44-44444-422202-2-2-22-22-2-243−4300−2323−232300000000-1-1110−2323003−33−300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-44-44-44444-422202-2-2-22-22-2-2−43430023−2323−2300000000-1-111023−2300−33−3300000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4-84-44844-4-8-4-42044-2-444-22-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-444-44-444-442220-2-2-22-2-2-22200−4i34i32i32i3−2i3−2i300000000-111-10002i3−2i3−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-444-44-444-442220-2-2-22-2-2-222004i3−4i3−2i3−2i32i32i300000000-111-1000−2i32i3i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-48444-8-4-44-8-4-4204-4244-4-2-2400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48-44-8-84-48442-4-40-22-444-444-200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-44444-4-4442220-222-2-22-2-2-200006i−6i−6i6i00000000-11-1100000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-44444-4-4442220-222-2-22-2-2-20000−6i6i6i−6i00000000-11-11000003i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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