Finite Group Databasebeta

← Group #13168089

Character table — Group #13168089

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order122233344666666666333666666666121212121212121212122266663666121212121212121224444666666661212121212121212121222444466612121212121212121212122446666121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-111111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-111-1111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111111111-11-1-1-111-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-11111-1-111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1111-111111-1-1-1-1-1-11-11
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-111-1-1-1-111-1-1-11-1-1-111-1-11111-11-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-11111-1-111-1-11-1-1-1-11111111-1-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-11111-1-111-111-1-111-1-1-1-1-111
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111111-1-1-111-1-1-1-11111-111-1-111-1-111-11-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-111-1-1111111-1-11111111-111-1-1-1-111-1-1-1-11-1-1-1-11111-1-11-11
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-11-1-11111-1-111-11-1-1-111-1-111-1-1-111
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1111-1-11111-1-11-111111-1-1-1-1111-1-1
χ17222222-1222-122-12-1222-1-12-1-1-1-12-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12202022-1-1-1-1-1-1-1-1-1-122-1-1-1-12200222-1-120000-1-1000000000-1-1-1-10000000
χ18222222-1222-122-12-1222-1-12-1-1-1-12-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-220-202211-1-1-1-1-1-11122-1-1-1-1-2-200-2-2-211-200001100000000011110000000
χ19222222-1222-122-12-1222-1-12-1-1-1-12-12-1-1-12222-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-12-2020-2-2-1-1111111-1-1-2-21111-2-200-2-22-1-120000-1-100000000011110000000
χ20222222-1222-122-12-1222-1-12-1-1-1-12-12-1-1-12222-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-1-2-20-20-2-21111111111-2-21111220022-211-2000011000000000-1-1-1-10000000
χ21222222-1-2-22-122-12-1222-1-12-1-1-1-12-12-111-2-2-2-2111122-1-1-1-1-1-1-1-111-2-211112-20-2022-1-1-1-1-1-11111-2-211112200-2-22-1-1-2000011000000000-1-1110000000
χ22222222-1-2-22-122-12-1222-1-12-1-1-1-12-12-111-2-2-2-2111122-1-1-1-1-1-1-1-111-2-21111-2-20202211-1-1-1-111-1-1-2-21111-2-20022-21120000-1-100000000011-1-10000000
χ23222222-1-2-22-122-12-1222-1-12-1-1-1-12-12-111-2-2-2-21111-2-21111-1-1-1-111-2-21111220-20-2-2-1-11111-1-11122-1-1-1-1-2-200222-1-1-200001100000000011-1-10000000
χ24222222-1-2-22-122-12-1222-1-12-1-1-1-12-12-111-2-2-2-21111-2-21111-1-1-1-111-2-21111-22020-2-2111111-1-1-1-122-1-1-1-12200-2-2-21120000-1-1000000000-1-1110000000
χ2522222-122222-1-1222-12-12-1-122-1-1-1-1-1222-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-120222002200000022000000002200-1-1-1-1-12-12-1-1-1-1-1-1200-1-10000-1-100000
χ2622222-122222-1-1222-12-12-1-122-1-1-1-1-1222-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-120-22-200220000002200000000-2-200-1-1-1-11-21-2-1-11111-2001100001100000
χ2722222-122222-1-1222-12-12-1-122-1-1-1-1-1222-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1-202-2200-2-2000000-2-200000000-2-2001111-12-1211-1-1-1-1-2001100001100000
χ2822222-122222-1-1222-12-12-1-122-1-1-1-1-1222-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-200-2-2000000-2-200000000220011111-21-2111111200-1-10000-1-100000
χ2922222-12-2-222-1-1222-12-12-1-122-1-1-1-1-12-2-211-2-2-2-2-2-2000000-1-1-1-111111111202-2-20022000000-2-200000000-2-200-1-1-111-2-121111-1-1200-1-100001100000
χ3022222-12-2-222-1-1222-12-12-1-122-1-1-1-1-12-2-211-2-2-2-2-2-2000000-1-1-1-11111111120-2-220022000000-2-2000000002200-1-1-11-121-211-1-111-200110000-1-100000
χ3122222-12-2-222-1-1222-12-12-1-122-1-1-1-1-12-2-211-2-2-2-2-2-2000000-1-1-1-111111111-2022-200-2-200000022000000002200111-11-2-12-1-111-1-1-200110000-1-100000
χ3222222-12-2-222-1-1222-12-12-1-122-1-1-1-1-12-2-211-2-2-2-2-2-2000000-1-1-1-111111111-20-22200-2-20000002200000000-2-200111-1-121-2-1-1-1-111200-1-100001100000
χ332222-12222-12222-122-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-102202-1-100-1-1-1-12200-1-1-1-1-1-100000000002-12-100-1-1-1-10220000000000-1-10
χ342222-12222-12222-122-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-102-20-2-1-100-1-1-1-12200-1-1-1-1-1-10000000000-21-210011110-2-20000000000110
χ352222-12222-12222-122-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-10-220211001111-2-20011111100000000002-12-100-1-1-1-10-2-20000000000110
χ362222-12222-12222-122-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-10-2-20-211001111-2-2001111110000000000-21-210011110220000000000-1-10
χ372222-122-2-2-12222-122-1-1-12-1-1-122-12-1-1-2-2-2-2111111222222-1-1-1-1-2-21111110-220-2-1-100-1-1-1-1-2-2001111110000000000-212-10011-1-10-220000000000-110
χ382222-122-2-2-12222-122-1-1-12-1-1-122-12-1-1-2-2-2-2111111222222-1-1-1-1-2-21111110-2-202-1-100-1-1-1-1-2-20011111100000000002-1-2100-1-11102-200000000001-10
χ392222-122-2-2-12222-122-1-1-12-1-1-122-12-1-1-2-2-2-2111111-2-2-2-2-2-2-1-1-1-1-2-21111110220-2110011112200-1-1-1-1-1-10000000000-212-10011-1-102-200000000001-10
χ402222-122-2-2-12222-122-1-1-12-1-1-122-12-1-1-2-2-2-2111111-2-2-2-2-2-2-1-1-1-1-2-211111102-202110011112200-1-1-1-1-1-100000000002-1-2100-1-1110-220000000000-110
χ412-22-2222002-22-2-2-22-2-222222-2-2-2-22-2-200000000002-222-2-222-2-200000000000002-20022-2-20000000000002i−2i00000000000000000000000002i−2i2i−2i000
χ422-22-2222002-22-2-2-22-2-222222-2-2-2-22-2-200000000002-222-2-222-2-200000000000002-20022-2-2000000000000−2i2i0000000000000000000000000−2i2i−2i2i000
χ432-22-2222002-22-2-2-22-2-222222-2-2-2-22-2-20000000000-22-2-22222-2-20000000000000-2200-2-2220000000000002i−2i00000000000000000000000002i−2i−2i2i000
χ442-22-2222002-22-2-2-22-2-222222-2-2-2-22-2-20000000000-22-2-22222-2-20000000000000-2200-2-222000000000000−2i2i0000000000000000000000000−2i2i2i−2i000
χ452-2-222222i−2i-22-22-22-2-2-2222-2-222-22-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i0000002-22-22i−2i2i−2i2i2i−2i−2i000000000000000000000002-2002i−2i00000000000000000002-22i−2i0000000
χ462-2-222222i−2i-22-22-22-2-2-2222-2-222-22-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i0000002-22-22i−2i2i−2i2i2i−2i−2i00000000000000000000000-2200−2i2i0000000000000000000-22−2i2i0000000
χ472-2-22222−2i2i-22-22-22-2-2-2222-2-222-22-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i0000002-22-2−2i2i−2i2i−2i−2i2i2i000000000000000000000002-200−2i2i00000000000000000002-2−2i2i0000000
χ482-2-22222−2i2i-22-22-22-2-2-2222-2-222-22-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i0000002-22-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000-22002i−2i0000000000000000000-222i−2i0000000
χ492-2-2222-12i−2i-2-1-22121-2-22-1-1-21-1-1121-21−ii2i−2i2i−2i−i−iii00−i3i3−i3i3-11-11−ii2i−2i−i−iii0000000−i3i3−i3i3−i3i33−33−30033−3−32-2002i−2i0−i3i3000003−3000000000-11−ii0000000
χ502-2-2222-12i−2i-2-1-22121-2-22-1-1-21-1-1121-21−ii2i−2i2i−2i−i−iii00−i3i3−i3i3-11-11−ii2i−2i−i−iii0000000i3−i3−i3i3−i3i33−3−330033−3−3-2200−2i2i0i3−i300000−330000000001-1i−i0000000
χ512-2-2222-12i−2i-2-1-22121-2-22-1-1-21-1-1121-21−ii2i−2i2i−2i−i−iii00i3−i3i3−i3-11-11−ii2i−2i−i−iii0000000−i3i3i3−i3i3−i3−333−300−3−333-2200−2i2i0−i3i3000003−30000000001-1i−i0000000
χ522-2-2222-12i−2i-2-1-22121-2-22-1-1-21-1-1121-21−ii2i−2i2i−2i−i−iii00i3−i3i3−i3-11-11−ii2i−2i−i−iii0000000i3−i3i3−i3i3−i3−33−3300−3−3332-2002i−2i0i3−i300000−33000000000-11−ii0000000
χ532-2-2222-1−2i2i-2-1-22121-2-22-1-1-21-1-1121-21i−i−2i2i−2i2iii−i−i00−i3i3−i3i3-11-11i−i−2i2iii−i−i0000000−i3i3−i3i3−i3i3−33−3300−3−3332-200−2i2i0−i3i300000−33000000000-11i−i0000000
χ542-2-2222-1−2i2i-2-1-22121-2-22-1-1-21-1-1121-21i−i−2i2i−2i2iii−i−i00−i3i3−i3i3-11-11i−i−2i2iii−i−i0000000i3−i3−i3i3−i3i3−333−300−3−333-22002i−2i0i3−i3000003−30000000001-1−ii0000000
χ552-2-2222-1−2i2i-2-1-22121-2-22-1-1-21-1-1121-21i−i−2i2i−2i2iii−i−i00i3−i3i3−i3-11-11i−i−2i2iii−i−i0000000−i3i3i3−i3i3−i33−3−330033−3−3-22002i−2i0−i3i300000−330000000001-1−ii0000000
χ562-2-2222-1−2i2i-2-1-22121-2-22-1-1-21-1-1121-21i−i−2i2i−2i2iii−i−i00i3−i3i3−i3-11-11i−i−2i2iii−i−i0000000i3−i3i3−i3i3−i33−33−30033−3−32-200−2i2i0i3−i3000003−3000000000-11i−i0000000
χ5744444-2-2444-2-2-2-24-2-24-2-21-2-2-211-21-2-2-2-2-2-244-2-2-2-2000000111111-2-211114004000-2-2000000-2-2000000000000-211-200001100000000000000000000
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χ654444-2-2444-24-2-24-24-2-21-2-21-2-2-2-21-21-244-2-2-2-2-2-2-2-20000001111-2-2111111004040000000000000000000000000000-2-2-2-20011110000000000000000
χ664444-2-2444-24-2-24-24-2-21-2-21-2-2-2-21-21-244-2-2-2-2-2-2-2-20000001111-2-211111100-40-40000000000000000000000000000222200-1-1-1-10000000000000000
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χ924-4-444-2-24i−4i-4-22-22422-4-2-2122-21-1-2-122−2i2i−2i2i4i−4i−2i−2i2i2i0000001-11-1i−i−2i2iii−i−i0000000−2i32i300000023−230000000000000i3−i300000−3300000000000000000000
χ934-4-444-2-24i−4i-4-22-22422-4-2-2122-21-1-2-122−2i2i−2i2i4i−4i−2i−2i2i2i0000001-11-1i−i−2i2iii−i−i00000002i3−2i3000000−23230000000000000−i3i3000003−300000000000000000000
χ944-4-444-2-2−4i4i-4-22-22422-4-2-2122-21-1-2-1222i−2i2i−2i−4i4i2i2i−2i−2i0000001-11-1−ii2i−2i−i−iii0000000−2i32i3000000−23230000000000000i3−i3000003−300000000000000000000
χ954-4-444-2-2−4i4i-4-22-22422-4-2-2122-21-1-2-1222i−2i2i−2i−4i4i2i2i−2i−2i0000001-11-1−ii2i−2i−i−iii00000002i3−2i300000023−230000000000000−i3i300000−3300000000000000000000
χ964-4-44-2444i−4i24-44-4-2-4-42-2-2422-24-4-2-4224i−4i4i−4i−2i2i−2i−2i2i2i000000-22-224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000
χ974-4-44-244−4i4i24-44-4-2-4-42-2-2422-24-4-2-422−4i4i−4i4i2i−2i2i2i−2i−2i000000-22-22−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000
χ984-4-44-24-24i−4i2-2-442-22-42-21-22-11-22-222-1−2i2i4i−4i−2i2iii−i−i00−2i32i3−2i32i31-11-1−2i2i−2i2iii−i−i000000000i3−i3i3−i323−230000−3−333000000000000000000000000000000000000
χ994-4-44-24-24i−4i2-2-442-22-42-21-22-11-22-222-1−2i2i4i−4i−2i2iii−i−i002i3−2i32i3−2i31-11-1−2i2i−2i2iii−i−i000000000−i3i3−i3i3−2323000033−3−3000000000000000000000000000000000000
χ1004-4-44-24-2−4i4i2-2-442-22-42-21-22-11-22-222-12i−2i−4i4i2i−2i−i−iii00−2i32i3−2i32i31-11-12i−2i2i−2i−i−iii000000000i3−i3i3−i3−2323000033−3−3000000000000000000000000000000000000
χ1014-4-44-24-2−4i4i2-2-442-22-42-21-22-11-22-222-12i−2i−4i4i2i−2i−i−iii002i3−2i32i3−2i31-11-12i−2i2i−2i−i−iii000000000−i3i3−i3i323−230000−3−333000000000000000000000000000000000000
χ1024-4-44-2-244i−4i242-2-4-2-4221-2-2-12-2-2212-124i−4i−2i2i−2i2i−2i−2i2i2i0000001-11-1−2i2ii−iii−i−i0000000000000000000000000000000000000003-33i−3i0000000000000000
χ1034-4-44-2-244i−4i242-2-4-2-4221-2-2-12-2-2212-124i−4i−2i2i−2i2i−2i−2i2i2i0000001-11-1−2i2ii−iii−i−i000000000000000000000000000000000000000-33−3i3i0000000000000000
χ1044-4-44-2-24−4i4i242-2-4-2-4221-2-2-12-2-2212-12−4i4i2i−2i2i−2i2i2i−2i−2i0000001-11-12i−2i−ii−i−iii0000000000000000000000000000000000000003-3−3i3i0000000000000000
χ1054-4-44-2-24−4i4i242-2-4-2-4221-2-2-12-2-2212-12−4i4i2i−2i2i−2i2i2i−2i−2i0000001-11-12i−2i−ii−i−iii000000000000000000000000000000000000000-333i−3i0000000000000000
χ1068888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-42222000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000
χ10888-8-88-4-400-8444-4-84-48-4-42444-224-2-4-400000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-48004-84484-8-4-42-4-4-2444-4-242-400000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4004444-444-4-4222-2-2-2-22-2-2220000006-66-6000000-111-10000-33-3300000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4004444-444-4-4222-2-2-2-22-2-222000000-66-66000000-111-100003-33-300000000000000000000000000000000000000000000000000000000000
χ1128-88-88-4-40084-444-8-44-8-4-42-4-44-2-24244000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4800-4-8-44-848442-4-42-4444-2-4-24000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-400-44-4444-44422222-2-2-2-22-2-20000006i−6i−6i6i000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-400-44-4444-44422222-2-2-2-22-2-2000000−6i6i6i−6i000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-48i−8i4-44-44-4444222-2-222-22-2-2-2−4i4i−4i4i−4i4i2i2i−2i−2i000000-11-112i−2i2i−2i−i−iii00000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4−8i8i4-44-44-4444222-2-222-22-2-2-24i−4i4i−4i4i−4i−2i−2i2i2i000000-11-11−2i2i−2i2iii−i−i00000000000000000000000000000000000000000000000000000000000

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