Finite Group Databasebeta

← Group #13168451

Character table — Group #13168451

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order1222333666666666333466666666612124444366612121212121212121212121224446612121212121212121212121212124412121212666121212121212121212121212122244466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111111-1-1111111-1-11111111111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-11111-1-11111-1-1-1-111-1-1-1-1-1-1111-11111-1-1-1-11111-1-11-11-1-1-1-1111-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1111-1-111111111-11-11-111-1-1-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1111-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-111
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
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-111-1-1111111-1-1-1-1-111111-1-111-1-1-1-1-111-1-1-1-111-111-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11111111111-1-1-1-11-11111-1-1-1-111-111-1-111-1-1-1-11-1-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-111-1-11111111-1-1-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1111-111-1-1-111-1-1111-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-111-1-111-1-11-111-1-1-111-1-111-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1-111-1-1-1-11111-1-11111111-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-111-1-1-1-11111111111-11-1-1-1-11111-1-1-111-1-111-1-1-1-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-11111111111111-1-1-1-1-111-1-111-1-1-111-1-1-1-111-11-11
χ17222222-12-1-12222-122-1-122-1-12-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12002-1-1-1-1-1-10022-1-1220022-1-1-1-12-1-1200-1-1-1-1-1-100002000000-1-1000000
χ18222222-12-1-12222-122-1-122-1-12-1-1-1-12-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1200-2-1-1-1-111002211-2-200-2-211112-1-1-200-1-111110000-200000011000000
χ19222222-12-1-12222-122-1-122-1-12-1-1-1-12-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-20021111-1-100-2-2-1-12200-2-21111-21120011-1-1-1-10000-200000011000000
χ20222222-12-1-12222-122-1-122-1-12-1-1-1-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-200-211111100-2-211-2-20022-1-1-1-1-211-20011111100002000000-1-1000000
χ21222222-12-1-12222-122-1-1-22-1-12-1-1-1-12112222-1-1-1-1-2-2-2-211111111-200-211-1-1-1-1002211220022-1-1-1-1-211-200-1-1-1-1110000-200000011000000
χ22222222-12-1-12222-122-1-1-22-1-12-1-1-1-121122-2-2-1-1-1-1-2-2-2-211111111-200211-1-1110022-1-1-2-200-2-21111-211200-1-111-1-100002000000-1-1000000
χ23222222-12-1-12222-122-1-1-22-1-12-1-1-1-1211-2-222-1-1-1-1-2-2-2-211111111200-2-1-111-1-100-2-2112200-2-211112-1-1-20011-1-11100002000000-1-1000000
χ24222222-12-1-12222-122-1-1-22-1-12-1-1-1-1211-2-2-2-2-1-1-1-1-2-2-2-2111111112002-1-1111100-2-2-1-1-2-20022-1-1-1-12-1-12001111-1-10000-200000011000000
χ2522222-12-122-12222-1-1-122-1-12-12-12-1-1220022-1-1-1-1-12-1-122-1-1-1-1-1-10222000022220022-1-1-1-1000000000-12-100-1-1-1-1-1-1-1-102020-1-100000-100
χ2622222-12-122-12222-1-1-122-1-12-12-12-1-1220022-1-1-1-1-12-1-122-1-1-1-1-1-10-2-22000022-2-20022-1-111000000000-1-2100-1-1-1-111110-20-201100000100
χ2722222-12-122-12222-1-1-122-1-12-12-12-1-12200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1022-20000-2-22200-2-211-1-100000000012-1001111-1-1-1-10-20-201100000100
χ2822222-12-122-12222-1-1-122-1-12-12-12-1-12200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-10-2-2-20000-2-2-2-200-2-211110000000001-21001111111102020-1-100000-100
χ2922222-12-122-12222-1-1-12-2-1-12-12-12-1-1-2-20022-1-1-1-11-211-2-211111102-2-20000222200-2-2-1-1110000000001-2-100-1-111-1-1110-20201100000-100
χ3022222-12-122-12222-1-1-12-2-1-12-12-12-1-1-2-20022-1-1-1-11-211-2-21111110-22-2000022-2-200-2-2-1-1-1-100000000012100-1-11111-1-1020-20-1-100000100
χ3122222-12-122-12222-1-1-12-2-1-12-12-12-1-1-2-200-2-2-1-1-1-11-211-2-211111102-220000-2-22200221111000000000-1-2-10011-1-1-1-111020-20-1-100000100
χ3222222-12-122-12222-1-1-12-2-1-12-12-12-1-1-2-200-2-2-1-1-1-11-211-2-21111110-2220000-2-2-2-2002211-1-1000000000-1210011-1-111-1-10-20201100000-100
χ332222-1222222-1-1-122-12-12-12-1-1-12-12-1222200-1-1-1-12-1-1-1-1-122-1-1-1-12220222200-1-1-1-1000022000000-1-1-10-12-1-10000-1-1-1-1002020000-1-1-1000
χ342222-1222222-1-1-122-12-12-12-1-1-12-12-1222200-1-1-1-12-1-1-1-1-122-1-1-1-12-2-2022220011-1-10000-2-2000000-1-1-101-2-1-10000111100-20-20000111000
χ352222-1222222-1-1-122-12-12-12-1-1-12-12-122-2-200-1-1-1-12-1-1-1-1-122-1-1-1-1-2220-2-2-2-200-1-1110000220000001110-12110000-1-1-1-100-20-20000111000
χ362222-1222222-1-1-122-12-12-12-1-1-12-12-122-2-200-1-1-1-12-1-1-1-1-122-1-1-1-1-2-2-20-2-2-2-20011110000-2-200000011101-21100001111002020000-1-1-1000
χ372222-1222222-1-1-122-12-1-2-12-1-1-12-12-1-2-22200-1-1-1-1-211111-2-21111-22-20-2-22200-1-1-1-10000-2-2000000111012-1-10000-1-11100-2020000-1-11000
χ382222-1222222-1-1-122-12-1-2-12-1-1-12-12-1-2-22200-1-1-1-1-211111-2-21111-2-220-2-2220011-1-10000220000001110-1-2-1-1000011-1-10020-2000011-1000
χ392222-1222222-1-1-122-12-1-2-12-1-1-12-12-1-2-2-2-200-1-1-1-1-211111-2-2111122-2022-2-200-1-1110000-2-2000000-1-1-1012110000-1-1110020-2000011-1000
χ402222-1222222-1-1-122-12-1-2-12-1-1-12-12-1-2-2-2-200-1-1-1-1-211111-2-211112-22022-2-2001111000022000000-1-1-10-1-211000011-1-100-2020000-1-11000
χ412-22-2222-22-2-22-2-2-222220-2-22-2-22-2-22002i−2i2-222-2-20000000000000000002i−2i2-2002i−2i002-2002i−2i2i2i−2i−2i0000002i−2i2-2000000000000000000000
χ422-22-2222-22-2-22-2-2-222220-2-22-2-22-2-22002i−2i-2222-2-20000000000000000002i−2i-22002i−2i00-2200−2i2i−2i−2i2i2i0000002i−2i-22000000000000000000000
χ432-22-2222-22-2-22-2-2-222220-2-22-2-22-2-2200−2i2i2-222-2-2000000000000000000−2i2i2-200−2i2i002-200−2i2i−2i−2i2i2i000000−2i2i2-2000000000000000000000
χ442-22-2222-22-2-22-2-2-222220-2-22-2-22-2-2200−2i2i-2222-2-2000000000000000000−2i2i-2200−2i2i00-22002i−2i2i2i−2i−2i000000−2i2i-22000000000000000000000
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χ472-22-222-1-2-11-22-2-2122-1-10-21-1-21-11123−3−2i2i2-2-1-11100003−33−333−3−30000i3−i3i−i-1100−2i2i3−32-200−2i2iii−i−i0i3−i3000i−i-113−300000000000i3−i3000000
χ482-22-222-1-2-11-22-2-2122-1-10-21-1-21-11123−3−2i2i-22-1-11100003−33−333−3−30000i3−i3i−i1-100−2i2i−33-22002i−2i−i−iii0i3−i3000i−i1-1−3300000000000−i3i3000000
χ492-22-222-1-2-11-22-2-2122-1-10-21-1-21-1112−332i−2i2-2-1-1110000−33−33−3−3330000i3−i3−ii-11002i−2i−332-2002i−2i−i−iii0i3−i3000−ii-11−3300000000000i3−i3000000
χ502-22-222-1-2-11-22-2-2122-1-10-21-1-21-1112−332i−2i-22-1-1110000−33−33−3−3330000i3−i3−ii1-1002i−2i3−3-2200−2i2iii−i−i0i3−i3000−ii1-13−300000000000−i3i3000000
χ512-22-222-1-2-11-22-2-2122-1-10-21-1-21-1112−33−2i2i2-2-1-1110000−33−33−3−3330000−i3i3i−i-1100−2i2i−332-200−2i2iii−i−i0−i3i3000i−i-11−3300000000000−i3i3000000
χ522-22-222-1-2-11-22-2-2122-1-10-21-1-21-1112−33−2i2i-22-1-1110000−33−33−3−3330000−i3i3i−i1-100−2i2i3−3-22002i−2i−i−iii0−i3i3000i−i1-13−300000000000i3−i3000000
χ5344444-2-2-2-2-2-2444-2-2-21-24-21-2-2-21-21-2-2-200441111-24-2-2-2-211111100040000-2-20000-2-2-2-200000000000-2000011110000000000000000000
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χ934-4-44-2-242-4-4-22-22421-2-20-1221-222-2-10000001-1-1100-330000-33-33000000000023−23000000−2323000000000000000000−333−3000000000000000
χ944-4-44-2-242-4-4-22-22421-2-20-1221-222-2-10000001-1-1100-330000-33-330000000000−232300000023−230000000000000000003−3−33000000000000000
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
χ9788-8-88-4-4-44-44-8-8844-42-40-42444-2-4-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-484-4-844-44-8-4-420-4-4-24-242440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-48-4-88444-4-842-4-402-44-244-44-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-44-4444-444222022-2-2-2-22-2-2000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-44-4444-444222022-2-2-2-22-2-2000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4848-84-444-8-42-4-40-24-4-24-444200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44-444-4444-42220-2-22-2-22-2-2243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-444-4444-42220-2-22-2-22-2-22−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4444-4-88-8-44-42-404-24-4-4-24240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-4-84484-44-4-8-4-42044-2-424-2-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4444-44-44-442220-2-2-222-2-22-2000000-111-1006-60000-33-33000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4444-44-44-442220-2-2-222-2-22-2000000-111-100-6600003-33-3000000000000000000000000000000000000000000000000000000000

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