Finite Group Databasebeta

← Group #13168411

Character table — Group #13168411

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212222244666636661212121212121212122446666666666121212121212121212121212444466666612121212121224446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111111111111111-1-11111-1-111-1-111-1-11-111-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1111111-1-111111111-1-1-1-111-1-111-11-1-111-11-11-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111111111-1-11-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-11-11-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-11-1-1111-1-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-1-1111-1-1111-1-111111-1-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111-111-1-1-11-1-1-1-1111111-11-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-1111111111111-1-111-1-1-11-1-111-11-1-1-1-11111-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1111-111-1-11-1-1111-1-111-1-11-1-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-111-1
χ17222222-1-1222-12-1222-1-122-1-1-12-12-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10022222-1-1-1-1-1-1-1-1-1-12200-1-1-1-1002200-1-10020-1-1002000-1-1-1-100000000
χ18222222-1-1222-12-1222-1-122-1-1-12-12-1-1-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-100-222-2-211-1-1-1-1-1-1112200-1-1-1-100-2-2001100-201100-2000111100000000
χ19222222-1-1222-12-1222-1-122-1-1-12-12-1-1-1-122-1-1-1-1-2-222-2-21111-1-1-1-1222-1-1-1-1-1-1002-2-222-1-1111111-1-1-2-200111100-2-200-1-10020-1-100-2000111100000000
χ20222222-1-1222-12-1222-1-122-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-100-2-2-2-2-21111111111-2-20011110022001100-2011002000-1-1-1-100000000
χ21222222-1-1222-12-1222-1-1-22-1-1-12-12-1-111-2-211112222-2-2-1-1-1-1-1-1-1-1-2-2-211111100-22222-1-1-1-1-1-11111-2-200111100-2-200-1-100-2011002000-1-11100000000
χ22222222-1-1222-12-1222-1-1-22-1-1-12-12-1-111-2-2111122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-211111100222-2-211-1-1-1-111-1-1-2-2001111002200110020-1-100-200011-1-100000000
χ23222222-1-1222-12-1222-1-1-22-1-1-12-12-1-111-2-21111-2-222221111-1-1-1-1-2-2-211111100-2-2-222-1-11111-1-1112200-1-1-1-1002200-1-100-201100-200011-1-100000000
χ24222222-1-1222-12-1222-1-1-22-1-1-12-12-1-111-2-21111-2-2-2-2221111-1-1-1-1-2-2-2111111002-2-2-2-2111111-1-1-1-12200-1-1-1-100-2-200110020-1-1002000-1-11100000000
χ2522222-12222-12-12-12-12-12-12-1-1-12-12-122-1-1-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-1220-1-10000-1-1-1-12200-1-122-1-1-1-100002-100-1-10-100-1-1020200000000-1-100
χ2622222-12222-12-12-12-12-12-12-1-1-12-12-122-1-1-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-1-2-20-1-10000-1-1-1-12200-1-1-2-2-1-1-1-10000-2100110100110-20-2000000001100
χ2722222-12222-12-12-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-12201100001111-2-2001122111100002-100-1-10-100-1-10-20-2000000001100
χ2822222-12222-12-12-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-201100001111-2-20011-2-211110000-210011010011020200000000-1-100
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χ3222222-12222-12-12-12-12-1-2-12-1-1-12-12-1-2-2111111-2-20022-2-2-2-2-1-1-1-1-211-2-21111-22011000011112200-1-122-1-1-1-10000-2100110-100-1-1020-2000000001-100
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χ352222-1222-1-122222-1-1-122-1-122-1-1-1-122222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-122-20011-2-2000000-2-200-1-10000-2-200-1211-1-11211-1-100-20000011000010
χ362222-1222-1-122222-1-1-122-1-122-1-1-1-122222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011-2-2000000-2-20011000022001-211111-2111100200000-1-10000-10
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χ382222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-200-1-122000000-2-200-1-1000022001-2-1-1111211-1-100-200000-1-1000010
χ392222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-220011-2-200000022001100002200-1211-1-1-1-2-1-11100-200000-1-1000010
χ402222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200-2-2000000-1-1-1-1111111111-2220011-2-20000002200-1-10000-2-2001-21111-12-1-1-1-100200000110000-10
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χ5744444-2-2-244-2-2-2-2-24-2-214-2-211-2-2-2-21-2-2-2-21111440044-2-2-2-211114-2-2-2-21111000-2-200001111-2-200-2-200111100000000000000000000000000000000
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χ874-44-4-24-2-22242-42-4-2-21-2021-222-1-2-1223−23002323−23−23004-400000011-1-1000−33−3−33300000-22-2200000023−23000000000000001-10000−33000000000000000000
χ884-44-4-24-2-22242-42-4-2-21-2021-222-1-2-1223−23002323−23−2300-4400000011-1-1000−33−3−333000002-22-2000000−232300000000000000-1100003−3000000000000000000
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χ904-44-4-24-2-22242-42-4-2-21-2021-222-1-2-12−232300−23−23232300-4400000011-1-10003−333−3−3000002-22-200000023−2300000000000000-110000−33000000000000000000
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χ944-4-444-24-4-442-4-242-4-24-20-2-42-22-42420023−2323−23−23230000000000-22-22023−230023−23−2323000000000000000000000000000000000000000000000000000000000
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χ974-4-444-2-22-4422-2-22-4-2-210-22-11222-2-10023−23−333−30000002i3−2i3−2i32i31-11-1023−2300−333−3000000000−i3i3i3−i3000000003i−3i−3i3i00000000000000000000000000000000
χ984-4-444-2-22-4422-2-22-4-2-210-22-11222-2-100−23233−3−33000000−2i32i32i3−2i31-11-10−2323003−3−33000000000i3−i3−i3i3000000003i−3i−3i3i00000000000000000000000000000000
χ994-4-444-2-22-4422-2-22-4-2-210-22-11222-2-100−23233−3−330000002i3−2i3−2i32i31-11-10−2323003−3−33000000000−i3i3i3−i300000000−3i3i3i−3i00000000000000000000000000000000
χ1004-4-44-244-42-2-4-444-42-2-240-22-44222-2-4000000000000000000-22-22000000000000000000000000000023−2300000000000000000023−230000000000000000
χ1014-4-44-244-42-2-4-444-42-2-240-22-44222-2-4000000000000000000-22-220000000000000000000000000000−2323000000000000000000−23230000000000000000
χ1024-4-44-2-24-42-22-4-24221-2-20122-2-12-1-220023−2323−23−232300000000001-11-10−3300−333−3000000000000000000023−230000000000003-30000−330000000000000000
χ1034-4-44-2-24-42-22-4-24221-2-20122-2-12-1-220023−2323−23−232300000000001-11-10−3300−333−30000000000000000000−2323000000000000-3300003−30000000000000000
χ1044-4-44-2-24-42-22-4-24221-2-20122-2-12-1-2200−2323−232323−2300000000001-11-103−3003−3−33000000000000000000023−23000000000000-330000−330000000000000000
χ1054-4-44-2-24-42-22-4-24221-2-20122-2-12-1-2200−2323−232323−2300000000001-11-103−3003−3−330000000000000000000−23230000000000003-300003−30000000000000000
χ1068888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ10888-8-8-48-44-44-8-4-8484-42-404-244-424-2-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-48-8-44484-8-442-4-40-24442-4-24-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-44-444-444-442220-2-2-2-222-2-2200006-66-60000000000-111-100000-33-33000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-44-444-444-442220-2-2-2-222-2-220000-66-660000000000-111-1000003-33-3000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-48844-4-84-84-42-4-40-2-4-44-2424400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4-444-44444-42220-222-2-2-22-2-243−4300−23−2323230000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4-444-44444-42220-222-2-2-22-2-2−4343002323−23−230000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-444-4-848-4-84-42-40-4-24-44-24240000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-444-444-4-44422202-2-22-2-2-22-20043−43−232323−230000000000-11-110−2323003−3−33000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-444-444-4-44422202-2-22-2-2-22-200−434323−23−23230000000000-11-11023−2300−333−3000000000000000000000000000000000000000000000000000000000

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