Finite Group Databasebeta

← Group #13168058

Character table — Group #13168058

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212222244666636661212121212121212124446666666666121212121212121212121212444466121212121212121212122244661212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-11111111111111111-1-1111111-1-111-1-1-1111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111-11-1-111-1-111111111-1-1111111-1-1-1-1-1-1111-1-1-11111-11-11-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-11-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-11-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-11-11-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-111111-1-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111111-111-1-1-1-1-1-11-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-111-1-11-1-1111-1-11111-11-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-111111-1-111-11-1-1-1-11111111-1-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-111-1-1-1-1-111-1-111-1-111-1-111-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-11111111111111-1-1-1-1-111-1-1-11-1-1-1-11111-1-11-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-111111-1-1111-1-1111-1-111-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-111111-1-1111-111-1-1-1-1111-11-1
χ17222222-12-122-122-122-1-122-1-1-1-12-12-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-10202222-1-1-1-1-1-1-1-122-1-100-1-1-1-12200-1-10002-1-100002000-1-1-1-100000000
χ18222222-12-122-122-122-1-122-1-1-1-12-12-1-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-10-20-2-22211-1-1-1-1-1-1221100-1-1-1-1-2-20011000-2110000-2000111100000000
χ19222222-12-122-122-122-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-222-2-21111-1-1-1-12-1-122-1-1-1-102022-2-2-1-1111111-2-2-1-1001111-2-200-1-10002-1-10000-2000111100000000
χ20222222-12-122-122-122-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-20-2-2-2-211111111-2-211001111220011000-21100002000-1-1-1-100000000
χ21222222-12-122-122-122-1-1-22-1-1-1-12-12-111-2-211112222-2-2-1-1-1-1-1-1-1-1-211-2-211110-202222-1-1-1-1-1-111-2-211001111-2-200-1-1000-21100002000-1-11100000000
χ22222222-12-122-122-122-1-1-22-1-1-1-12-12-111-2-2111122-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111020-2-22211-1-1-1-111-2-2-1-10011112200110002-1-10000-200011-1-100000000
χ23222222-12-122-122-122-1-1-22-1-1-1-12-12-111-2-21111-2-222221111-1-1-1-1-211-2-211110-2022-2-2-1-11111-1-1221100-1-1-1-12200-1-1000-2110000-200011-1-100000000
χ24222222-12-122-122-122-1-1-22-1-1-1-12-12-111-2-21111-2-2-2-2221111-1-1-1-1-211-2-21111020-2-2-2-2111111-1-122-1-100-1-1-1-1-2-200110002-1-100002000-1-11100000000
χ2522222-1222-122-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-120200-1-100-1-1-1-122-1-10022-1-1-1-1000000-12-1000-1-1-1-1020200000000-1-100
χ2622222-1222-122-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-1-20-200-1-100-1-1-1-122-1-100-2-2-1-1-1-10000001-2100011110-20-2000000001100
χ2722222-1222-122-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-12020011001111-2-21100221111000000-12-1000-1-1-1-10-20-2000000001100
χ2822222-1222-122-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-20011001111-2-21100-2-211110000001-210001111020200000000-1-100
χ2922222-1222-122-1-122-12-1-2-12-1-12-12-1-1-2-21111112200-2-22222-1-1-1-1-2-2-211111120-200-1-100-1-1-1-1-2-21100-2-2111100000012-100011-1-1020-200000000-1100
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χ3122222-1222-122-1-122-12-1-2-12-1-12-12-1-1-2-2111111-2-20022-2-2-2-2-1-1-1-1-2-2-211111120-2001100111122-1-100-2-2-1-1-1-100000012-100011-1-10-202000000001-100
χ3222222-1222-122-1-122-12-1-2-12-1-12-12-1-1-2-2111111-2-20022-2-2-2-2-1-1-1-1-2-2-2111111-202001100111122-1-10022-1-1-1-1000000-1-21000-1-111020-200000000-1100
χ332222-122-122-12222-1-1-122-1-122-1-1-1-12222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-100220000000022-1-100000022-1-12-12-1-1-1-1-1-1-100200000-1-10000-10
χ342222-122-122-12222-1-1-122-1-122-1-1-1-12222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-1-10022000000002211000000-2-2-1-1-21-2-1-1-1111100-20000011000010
χ352222-122-122-12222-1-1-122-1-122-1-1-1-122222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-12-221100-2-200000000-2-2-1-1000000-2-2112-12111-1-1-1-100-20000011000010
χ362222-122-122-12222-1-1-122-1-122-1-1-1-122222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21100-2-200000000-2-2110000002211-21-2111111100200000-1-10000-10
χ372222-122-122-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20022000000-1-1-1-11111111112-2-2-1-1002200000000-2-211000000-2-2-1-1-2-1211111-1-100200000110000-10
χ382222-122-122-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-2-22-1-1002200000000-2-2-1-100000022-1-121-2111-1-11100-200000-1-1000010
χ392222-122-122-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200-2-2000000-1-1-1-111111111122-21100-2-20000000022110000002211-2-12-1-1-111-1-100-200000-1-1000010
χ402222-122-122-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200-2-2000000-1-1-1-1111111111-2221100-2-20000000022-1-1000000-2-21121-2-1-1-1-1-11100200000110000-10
χ4122-2-2222-2-2-2222-2-2-22220-2-2-2-22-2-222000000002-2000022-2-22-2-22000000000000002-20022-2-2000000000000002i−2i000000000000000000002i−2i2i−2i0000
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χ452-2-2222222-2-2-2-22-2-22220222-2-2-2-2-2-200000000002-22i−2i000022-2-20000000000002-2002-200002i−2i2i−2i00002i2i−2i−2i2i−2i002-200000000000000002i−2i00000000
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χ492-2-2222-12-1-2-21-221-22-1-102-1-111-21-213−30033−3−3002-22i−2i−i3i3−i3i3-1-11103−30033−3−30002-200-11−i3i3−i3i3−ii2i−2i3−300−i−iii2i−2i00-1100003−300000000−i3i3−ii00000000
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χ864-44-44-2-2-42-2-4222-24-2-21022-112-2-22-100−23233−3−33000000−2i32i32i3−2i31-11-1000−23233−3−33000000000i3−i3−i3i3000000003i−3i−3i3i00000000000000000000000000000000
χ874-44-44-2-2-42-2-4222-24-2-21022-112-2-22-100−23233−3−330000002i3−2i3−2i32i31-11-1000−23233−3−33000000000−i3i3i3−i300000000−3i3i3i−3i00000000000000000000000000000000
χ884-44-4-2442-442-4-4-44-2-2-24022-442-2-22-4000000000000000000-22-220000000000000000000000000000−2i32i30000000000000000−2i32i3000000000000000000
χ894-44-4-2442-442-4-4-44-2-2-24022-442-2-22-4000000000000000000-22-2200000000000000000000000000002i3−2i300000000000000002i3−2i3000000000000000000
χ904-44-4-2-242-4-22-4224-21-2-20-122-221-2-120023−2323−23−232300000000001-11-1000−33−333−30000000000000000000−2i32i30000000000000000i3−i33i−3i0000000000000000
χ914-44-4-2-242-4-22-4224-21-2-20-122-221-2-120023−2323−23−232300000000001-11-1000−33−333−300000000000000000002i3−2i30000000000000000−i3i3−3i3i0000000000000000
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χ934-44-4-2-242-4-22-4224-21-2-20-122-221-2-1200−2323−232323−2300000000001-11-10003−33−3−3300000000000000000002i3−2i30000000000000000−i3i33i−3i0000000000000000
χ944-4-444-24442-4-42-2-4-4-24-20-24-22-42-4220000000000004i−4i0000-2-22200000000000000000000004i−4i−2i2i0000−2i−2i2i2i00000000000000000000000000000000
χ954-4-444-24442-4-42-2-4-4-24-20-24-22-42-422000000000000−4i4i0000-2-2220000000000000000000000−4i4i2i−2i00002i2i−2i−2i00000000000000000000000000000000
χ964-4-444-2-24-22-422-22-4-2-210-2-21-12222-123−2300−3−33300004i−4i−2i32i3−2i32i311-1-1023−2300−3−333000000000i3−i3i3−i3−2i2i−2i2i0000ii−i−i00000000000000000000000000000000
χ974-4-444-2-24-22-422-22-4-2-210-2-21-12222-123−2300−3−3330000−4i4i2i3−2i32i3−2i311-1-1023−2300−3−333000000000−i3i3−i3i32i−2i2i−2i0000−i−iii00000000000000000000000000000000
χ984-4-444-2-24-22-422-22-4-2-210-2-21-12222-1−23230033−3−300004i−4i2i3−2i32i3−2i311-1-10−23230033−3−3000000000−i3i3−i3i3−2i2i−2i2i0000ii−i−i00000000000000000000000000000000
χ994-4-444-2-24-22-422-22-4-2-210-2-21-12222-1−23230033−3−30000−4i4i−2i32i3−2i32i311-1-10−23230033−3−3000000000i3−i3i3−i32i−2i2i−2i0000−i−iii00000000000000000000000000000000
χ1004-4-44-244-24-42-4-44-42-2-240-2-24-42222-400000000004-4000000-2-222000000000000-22004-400000000000000000000-2200000000000000000000000000
χ1014-4-44-244-24-42-4-44-42-2-240-2-24-42222-40000000000-44000000-2-2220000000000002-200-44000000000000000000002-200000000000000000000000000
χ1024-4-44-24-2-2-2-422-4422-21-20-21-22-12-12223−23002323−23−23004-400000011-1-10−3300−3−333000-2200-220000000023−2300000000001-10000−3300000000000000000000
χ1034-4-44-24-2-2-2-422-4422-21-20-21-22-12-12223−23002323−23−2300-4400000011-1-10−3300−3−3330002-2002-200000000−23230000000000-1100003−300000000000000000000
χ1044-4-44-24-2-2-2-422-4422-21-20-21-22-12-122−232300−23−232323004-400000011-1-103−30033−3−3000-2200-2200000000−232300000000001-100003−300000000000000000000
χ1054-4-44-24-2-2-2-422-4422-21-20-21-22-12-122−232300−23−23232300-4400000011-1-103−30033−3−30002-2002-20000000023−230000000000-110000−3300000000000000000000
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
χ10888-8-8-48-444-8-4-48-844-42-404-24424-2-4-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-484-84-48-44-842-4-40-2444-4-242-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4444-4-4-44442220-2-2-2-22-2-22200006-66-60000000000-111-100000-33-33000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4444-4-4-44442220-2-2-2-22-2-2220000-66-660000000000-111-1000003-33-3000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-444844-8-8-4-4-42-404-24-4-2-42440000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-444-44444-4-42220-2-2-22-222-2-20043−43−232323−230000000000-11-11000−23233−3−33000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-444-44444-4-42220-2-2-22-222-2-200−434323−23−23230000000000-11-1100023−23−333−3000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-48-4844-84-4-842-4-402-4-444-24-2400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4-4-44444-4442220222-2-2-2-2-2-243−4300−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-4-44444-4442220222-2-2-2-2-2-2−4343002323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000

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