Finite Group Databasebeta

← Group #13168191

Character table — Group #13168191

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order122233366666666633346666666661212224436661212121212121212121212122244666666661212121212121212441212121266666666121212121212121244444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111111-1-1111111-1-11111111-11111-1-11-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-11111111-1-11111-1-1-1-111-1-1-1-1-1-1-1111-1-1111111-1-111-111-1-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1-111-1-1-1-111-1111
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-11-1-11111-1-1-111-1-1-1-111-11-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-1-1-111-11-1-1-1-1111-1-1-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1-1111111-1111-1-111-1-1-1-111-1-1-11-11-1-1-1-1-1111-11-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-11-1-11111-1-11-11-1-111-1-1-11-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-1-11-1-1-1-1111-111-1111111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111-11111-1-11-111-1111111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-111111111-1-111111-111-1-1-1-1-1-11-11-1-111-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111-1-1-1-1111111111-1-1-111-1-11111-1-111-11-11-1-1-1-1-1111-1-11
χ17222222-122-122-1-1222-1-122-1-12-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1200222-1-1-1-100-1-1-1-1220022-1-1-1-120-1-1-1-10020-1-1-1-10020000-1-100000000
χ18222222-122-122-1-1222-1-122-1-12-1-12-1-1-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-200222-1-11100-1-111-2-200-2-21111-20-1-1110020-1-11100-200001100000000
χ19222222-122-122-1-1222-1-122-1-12-1-12-1-1-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-1200-2-2-211-1-10011-1-12200-2-211112011-1-100-2011-1-100-200001100000000
χ20222222-122-122-1-1222-1-122-1-12-1-12-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-200-2-2-21111001111-2-20022-1-1-1-1-20111100-2011110020000-1-100000000
χ21222222-122-122-1-1222-1-1-22-1-12-1-12-1-1112222-1-1-1-1-2-2-2-211111111-200-222-1-1110011-1-1220022-1-1-1-1-20-1-11100-2011-1-100-200001100000000
χ22222222-122-122-1-1222-1-1-22-1-12-1-12-1-11122-2-2-1-1-1-1-2-2-2-211111111200-222-1-1-1-1001111-2-200-2-2111120-1-1-1-100-2011110020000-1-100000000
χ23222222-122-122-1-1222-1-1-22-1-12-1-12-1-111-2-222-1-1-1-1-2-2-2-211111111-2002-2-2111100-1-1-1-12200-2-21111-2011110020-1-1-1-10020000-1-100000000
χ24222222-122-122-1-1222-1-1-22-1-12-1-12-1-111-2-2-2-2-1-1-1-1-2-2-2-2111111112002-2-211-1-100-1-111-2-20022-1-1-1-12011-1-10020-1-11100-200001100000000
χ2522222-122-122-1222-1-12-12-12-1-12-1-12-1220022-1-1-1-12-1-1-122-1-1-1-1-1-12220000022-1-10022-1-122000000-1200-1-1-1-10-100-1-1-1-1000220000-1-10-100
χ2622222-122-122-1222-1-12-12-12-1-12-1-12-1220022-1-1-1-12-1-1-122-1-1-1-1-1-12-2-20000022110022-1-1-2-2000000-1-200-1-1110100-1-111000-2-20000110100
χ2722222-122-122-1222-1-12-12-12-1-12-1-12-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-22200000-2-2-1-100-2-21122000000120011-1-10-10011-1-1000-2-20000110100
χ2822222-122-122-1222-1-12-12-12-1-12-1-12-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-200000-2-21100-2-211-2-20000001-200111101001111000220000-1-10-100
χ2922222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-20022-1-1-1-1-2111-2-2111111-22-200000-2-2-1-10022-1-1-2-2000000120011-1-10100-1-1110002-20000-1-10100
χ3022222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-20022-1-1-1-1-2111-2-2111111-2-2200000-2-2110022-1-1220000001-20011110-100-1-1-1-1000-220000110-100
χ3122222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-200-2-2-1-1-1-1-2111-2-211111122-20000022-1-100-2-211-2-2000000-1200-1-1-1-101001111000-220000110-100
χ3222222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-200-2-2-1-1-1-1-2111-2-21111112-2200000221100-2-21122000000-1-200-1-1110-10011-1-10002-20000-1-10100
χ332222-122-122-1222-12-1-122-1-12-1-12-1-12222200-1-1-1-1-12-1-1-1-122-1-1-1-10222-1-1220022220000-1-10000000-1-1-100-1-1-12-1-100-1-10220000-1-100-1000
χ342222-122-122-1222-12-1-122-1-12-1-12-1-12222200-1-1-1-1-12-1-1-1-122-1-1-1-10-2-22-1-12200-2-22200001100000001-1-10011-1-2-1-100110-2-2000011001000
χ352222-122-122-1222-12-1-122-1-12-1-12-1-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1022-211-2-20022-2-20000-1-10000000-11100-1-1121100-1-10-2-2000011001000
χ362222-122-122-1222-12-1-122-1-12-1-12-1-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10-2-2-211-2-200-2-2-2-2000011000000011100111-21100110220000-1-100-1000
χ372222-122-122-1222-12-1-12-2-1-12-1-12-1-12-2-22200-1-1-1-11-21111-2-2111102-2-2-1-1220022-2-20000110000000-1-1-100-1-11-211001102-200001100-1000
χ382222-122-122-1222-12-1-12-2-1-12-1-12-1-12-2-22200-1-1-1-11-21111-2-211110-22-2-1-12200-2-2-2-20000-1-100000001-1-10011121100-1-10-220000-1-1001000
χ392222-122-122-1222-12-1-12-2-1-12-1-12-1-12-2-2-2-200-1-1-1-11-21111-2-2111102-2211-2-20022220000110000000-11100-1-1-1-2-1-100110-220000-1-1001000
χ402222-122-122-1222-12-1-12-2-1-12-1-12-1-12-2-2-2-200-1-1-1-11-21111-2-211110-22211-2-200-2-2220000-1-100000001110011-12-1-100-1-102-200001100-1000
χ412-22-2222-2-2-2-222-22-22220-222-2-2-22-2-2002-22i−2i22-2-200000000000000002-22-20000002i−2i2i−2i002i−2i2i2i−2i−2i002-2000000002i−2i00000000000000000
χ422-22-2222-2-2-2-222-22-22220-222-2-2-22-2-2002-2−2i2i22-2-200000000000000002-22-2000000−2i2i−2i2i00−2i2i−2i−2i2i2i002-200000000−2i2i00000000000000000
χ432-22-2222-2-2-2-222-22-22220-222-2-2-22-2-200-222i−2i22-2-20000000000000000-22-220000002i−2i2i−2i00−2i2i−2i−2i2i2i00-22000000002i−2i00000000000000000
χ442-22-2222-2-2-2-222-22-22220-222-2-2-22-2-200-22−2i2i22-2-20000000000000000-22-22000000−2i2i−2i2i002i−2i2i2i−2i−2i00-2200000000−2i2i00000000000000000
χ452-22-222-1-2-21-22-112-22-1-10-2-1-1-2112113−32-22i−2i-1-11100003−33−333−3−300002-2-11−i3i3003−3−ii2i−2i002i−2i−i−iii00-11−i3i300003−3−ii0000000−i3i300000000
χ462-22-222-1-2-21-22-112-22-1-10-2-1-1-2112113−32-2−2i2i-1-11100003−33−333−3−300002-2-11i3−i3003−3i−i−2i2i00−2i2iii−i−i00-11i3−i300003−3i−i0000000i3−i300000000
χ472-22-222-1-2-21-22-112-22-1-10-2-1-1-2112113−3-222i−2i-1-11100003−33−333−3−30000-221-1−i3i300−33−ii2i−2i00−2i2iii−i−i001-1−i3i30000−33−ii0000000i3−i300000000
χ482-22-222-1-2-21-22-112-22-1-10-2-1-1-2112113−3-22−2i2i-1-11100003−33−333−3−30000-221-1i3−i300−33i−i−2i2i002i−2i−i−iii001-1i3−i30000−33i−i0000000−i3i300000000
χ492-22-222-1-2-21-22-112-22-1-10-2-1-1-211211−332-22i−2i-1-1110000−33−33−3−33300002-2-11i3−i300−33−ii2i−2i002i−2i−i−iii00-11i3−i30000−33−ii0000000i3−i300000000
χ502-22-222-1-2-21-22-112-22-1-10-2-1-1-211211−332-2−2i2i-1-1110000−33−33−3−33300002-2-11−i3i300−33i−i−2i2i00−2i2iii−i−i00-11−i3i30000−33i−i0000000−i3i300000000
χ512-22-222-1-2-21-22-112-22-1-10-2-1-1-211211−33-222i−2i-1-1110000−33−33−3−3330000-221-1i3−i3003−3−ii2i−2i00−2i2iii−i−i001-1i3−i300003−3−ii0000000−i3i300000000
χ522-22-222-1-2-21-22-112-22-1-10-2-1-1-211211−33-22−2i2i-1-1110000−33−33−3−3330000-221-1−i3i3003−3i−i−2i2i002i−2i−i−iii001-1−i3i300003−3i−i0000000i3−i300000000
χ5344444-2-24-2-24-2-2-24-2-2-214-2-21-2-21-2-21-2-2004411114-2-2-2-2-211111140000000-2-20000-2-2-2-200000000-2000110000001100000000000000000
χ5444444-2-24-2-24-2-2-24-2-2-214-2-21-2-21-2-21-2-200-4-411114-2-2-2-2-2111111-400000002200002222000000002000-1-1000000-1-100000000000000000
χ5544444-2-24-2-24-2-2-24-2-2-21-4-2-21-2-21-2-212200441111-422222-1-1-1-1-1-1-40000000220000-2-2-2-2000000002000-1-10000001100000000000000000
χ5644444-2-24-2-24-2-2-24-2-2-21-4-2-21-2-21-2-212200-4-41111-422222-1-1-1-1-1-140000000-2-20000222200000000-200011000000-1-100000000000000000
χ574444-24-2-24-2-24-2-2-24-21-24-21-2-21-2-21-2-2-244001111-24-2-211-2-211110004-2-2-2-20000-2-200000000000000110000-20110000000000000000000
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χ594444-24-2-24-2-24-2-2-24-21-2-4-21-2-21-2-21-222440011112-422-1-122-1-1-1-1000-4-2-2-2-20000220000000000000011000020-1-10000000000000000000
χ604444-24-2-24-2-24-2-2-24-21-2-4-21-2-21-2-21-222-4-40011112-422-1-122-1-1-1-1000422220000-2-200000000000000-1-10000-20110000000000000000000
χ614444-2-24-2-24-2-244-2-21-2-241-2-21-2-21-2-24400001111-2-211-2-2-2-211110440000000-2-2000000-2-20000000-20000110-2000011000000000000000
χ624444-2-24-2-24-2-244-2-21-2-241-2-21-2-21-2-24400001111-2-211-2-2-2-211110-4-400000002200000022000000020000-1-1020000-1-1000000000000000
χ634444-2-24-2-24-2-244-2-21-2-2-41-2-21-2-21-2-2-4-40000111122-1-12222-1-1-1-104-40000000-2-2000000220000000-2000011020000-1-1000000000000000
χ644444-2-24-2-24-2-244-2-21-2-2-41-2-21-2-21-2-2-4-40000111122-1-12222-1-1-1-10-44000000022000000-2-2000000020000-1-10-2000011000000000000000
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χ844-4-44444-4-4-44-4-44-4444404-4-4-4-4-4-4440000004-44-4000000000000000000000000000000000000000000000000000000000000000000000
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χ924-4-44-2-2422-4-22-442-21-2-20122-122-1-2-20000001-11-1003i−3i00003i−3i3i−3i00000000002i3−2i3000000−2323000000000000−i3i30000003−3000000000000000
χ934-4-44-2-2422-4-22-442-21-2-20122-122-1-2-20000001-11-100−3i3i0000−3i3i−3i3i0000000000−2i32i3000000−2323000000000000i3−i30000003−3000000000000000
χ944-4-44-2-2422-4-22-442-21-2-20122-122-1-2-20000001-11-100−3i3i0000−3i3i−3i3i00000000002i3−2i300000023−23000000000000−i3i3000000−33000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-48-4-4-8444-84-4-42044-2-4-4244-20000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-4-48-44-8444-8-42-404-24-42-44-240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-48-4-4844-8-8442-4-40-2442-4-4-2440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-4-4-44444442220-2-2-2222-2-2-2000000-111-100000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-4-44444442220-2-2-2222-2-2-2000000-111-1000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4844-84-48-8-442-4-40-2-4-4-24424400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44444-4-44-442220-222-2-2-22-2-243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44444-4-44-442220-222-2-2-22-2-2−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-844844-4-8-4-4-420-44-244-24-420000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-84-4-84-448-42-40-4-244-2442-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4444-444-44-422202-2-2-2-2-2-222000000-11-11006i−6i0000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4444-444-44-422202-2-2-2-2-2-222000000-11-1100−6i6i00003i−3i3i−3i000000000000000000000000000000000000000000000000000000000

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