Finite Group Databasebeta

← Group #13168205

Character table — Group #13168205

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212124444441212121236661212121212121212122441212121212121212121212121212121212121212121222446666121212121212121222446666121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1111111111-1-1111111111111-1-111-1-1-1-11-111-1-1111-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-111111111111111-1-1-1-11111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1111-1-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-11-1-1-1-111-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-11-1-1-111-1-11111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1111-1-1-1-1-1-11-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-11-11-11111-1-111-11-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-111-1-1-11-1-1111111-1-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-111-1-1-1-1-111-1-111-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1111111-1-111-1-1-1-1-111-1-1-1-1-1111111-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-11-1-11111-1-1-1-111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111-1-1-1-1-1111-11-11111-1-1-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1111-1-1-1-1111-11-1
χ17222222-1-12-122-12222-1-12-1-12-122-1-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1222220022-1-1-1-100000000000022002-1-1-1-12-1-1-1-1-1-1020000-1-10000-1000
χ18222222-1-12-122-12222-1-12-1-12-122-1-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22220022-1-111000000000000-2-200-2111-1-2-1-111-1-10-200001100001000
χ19222222-1-12-122-12222-1-12-1-12-122-1-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-200-2-211-1-1000000000000-2-2002-1-1-11211-1-1110-200001100001000
χ20222222-1-12-122-12222-1-12-1-12-122-1-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-200-2-211110000000000002200-21111-2111111020000-1-10000-1000
χ21222222-1-12-122-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20022000000-1-1-1-11111111112-2-2-2-20022-1-111000000000000-2-2002-1-1-11-2-1-11111020000110000-1000
χ22222222-1-12-122-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-2-2-20022-1-1-1-10000000000002200-211112-1-1-1-1110-20000-1-100001000
χ23222222-1-12-122-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-222200-2-2111100000000000022002-1-1-1-1-21111-1-10-20000-1-100001000
χ24222222-1-12-122-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-1111111111-2222200-2-211-1-1000000000000-2-200-2111-1211-1-1-1-1020000110000-1000
χ2522222-122-122-1222-1-1-122-12-12-1-1-12-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1002-1-122-1-1220022-1-1-1-1-1-1-1-1-1-10022000020-1-100-1-12000-1-100-1-1000000
χ2622222-122-122-1222-1-1-122-12-12-1-1-12-1-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-100-2112211-2-20022-1-1-1-1-1-1-1-1-1-100-2-20000-20110011-2000110011000000
χ2722222-122-122-1222-1-1-122-12-12-1-1-12-1-1-122-1-1-1-1-2-222-2-21111-1-1-1-1222-1-1-1-1-1-1002-1-1-2-2-1-12200-2-2111111111100-2-2000020-1-100-1-1-2000110011000000
χ2822222-122-122-1222-1-1-122-12-12-1-1-12-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-100-211-2-211-2-200-2-2111111111100220000-201100112000-1-100-1-1000000
χ2922222-122-122-1222-1-1-12-2-12-12-1-1-12-111-2-211112222-2-2-1-1-1-1-1-1-1-1-2-2-211111100-21122-1-12200-2-211-1-1-1-1111100-2-20000-20-1-100112000-1-10011000000
χ3022222-122-122-1222-1-1-12-2-12-12-1-1-12-111-2-2111122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2111111002-1-12211-2-200-2-211-1-1-1-1111100220000201100-1-1-20001100-1-1000000
χ3122222-122-122-1222-1-1-12-2-12-12-1-1-12-111-2-21111-2-222221111-1-1-1-1-2-2-211111100-211-2-2-1-1220022-1-11111-1-1-1-100220000-20-1-10011-20001100-1-1000000
χ3222222-122-122-1222-1-1-12-2-12-12-1-1-12-111-2-21111-2-2-2-2221111-1-1-1-1-2-2-2111111002-1-1-2-211-2-20022-1-11111-1-1-1-100-2-20000201100-1-12000-1-10011000000
χ332222-122222-122-1-12-12-122-1-1-1-1-12-1222-1-1-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-122000-1-1000022-1-122-1-1-1-1-1-1-1-10000-12-1-10-100-1-1000022000000000-1-10
χ342222-122222-122-1-12-12-122-1-1-1-1-12-1222-1-1-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-1-2-2000-1-10000-2-2-1-122-1-1-1-1-1-1-1-100001-2110100110000-2-2000000000110
χ352222-122222-122-1-12-12-122-1-1-1-1-12-1222-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1220001100002211-2-2111111110000-12-1-10-100-1-10000-2-2000000000110
χ362222-122222-122-1-12-12-122-1-1-1-1-12-1222-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-2000110000-2-211-2-21111111100001-211010011000022000000000-1-10
χ372222-122222-122-1-12-12-1-22-1-1-1-1-12-12-2-21111112200-2-22222-1-1-1-1-211-2-211112-2000-1-10000-2-211-2-2-1-1-1-111110000-12-1-10100110000-220000000001-10
χ382222-122222-122-1-12-12-1-22-1-1-1-1-12-12-2-21111112200-2-22222-1-1-1-1-211-2-21111-22000-1-100002211-2-2-1-1-1-1111100001-2110-100-1-100002-2000000000-110
χ392222-122222-122-1-12-12-1-22-1-1-1-1-12-12-2-2111111-2-20022-2-2-2-2-1-1-1-1-211-2-211112-2000110000-2-2-1-1221111-1-1-1-10000-12-1-101001100002-2000000000-110
χ402222-122222-122-1-12-12-1-22-1-1-1-1-12-12-2-2111111-2-20022-2-2-2-2-1-1-1-1-211-2-21111-2200011000022-1-1221111-1-1-1-100001-2110-100-1-10000-220000000001-10
χ4122-2-2222-2-2-2222-2-2-22220-2-2-2-22-222-200000000002-22i−2i000022-2-200000000000000002-22-2002i−2i2i−2i00002i2i−2i−2i002i−2i0000002-20000000000002i−2i000000
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χ4422-2-2222-2-2-2222-2-2-22220-2-2-2-22-222-20000000000-22−2i2i000022-2-20000000000000000-22-2200−2i2i−2i2i0000−2i−2i2i2i002i−2i000000-220000000000002i−2i000000
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χ4722-2-22-12-21-22-12-2-21-1-1201-21-2-11-1213−30033−3−300-222i−2i−i3−i3i3i3-1-1110003−333−3−3000−33001-1-22002i−2i−ii−i3−i3i3i3−i−iii00−2i2i0000001-100−330000i3−i300i−i000000
χ4822-2-22-12-21-22-12-2-21-1-1201-21-2-11-1213−30033−3−300-22−2i2ii3i3−i3−i3-1-1110003−333−3−3000−33001-1-2200−2i2ii−ii3i3−i3−i3ii−i−i002i−2i0000001-100−330000−i3i300−ii000000
χ4922-2-22-12-21-22-12-2-21-1-1201-21-2-11-121−3300−3−333002-22i−2ii3i3−i3−i3-1-111000−33−3−333000−3300-112-2002i−2i−iii3i3−i3−i3−i−iii002i−2i000000-1100−330000i3−i300−ii000000
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χ532-22-2222-222-2-2-22-2-22220-2-222-2-2-2-22000000002i−2i00002i−2i2i−2i2-2-22000000000000002i−2i00000000002i−2i2i−2i00002-2000000000000000000002-2002i−2i0000
χ542-22-2222-222-2-2-22-2-22220-2-222-2-2-2-22000000002i−2i00002i−2i2i−2i2-2-22000000000000002i−2i00000000002i−2i2i−2i0000-2200000000000000000000-2200−2i2i0000
χ552-22-2222-222-2-2-22-2-22220-2-222-2-2-2-2200000000−2i2i0000−2i2i−2i2i2-2-2200000000000000−2i2i0000000000−2i2i−2i2i00002-2000000000000000000002-200−2i2i0000
χ562-22-2222-222-2-2-22-2-22220-2-222-2-2-2-2200000000−2i2i0000−2i2i−2i2i2-2-2200000000000000−2i2i0000000000−2i2i−2i2i0000-2200000000000000000000-22002i−2i0000
χ5744444-2-2-2-2-24-2-244-2-21-241-2-2-2-2-21-21-2-244-2-2-2-200440000001111-2-2-2111111004-2-200-2-2-2-20000000000000000000000-201100110000000000000000
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χ5944444-2-2-2-2-24-2-244-2-21-2-41-2-2-2-2-21-2122-4-4222200440000001111222-1-1-1-1-1-100-42200-2-2-2-20000000000000000000000201100-1-10000000000000000
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χ674444-2-244-24-2-24-2-2-21-2-2-4-2-21-211-2-2-22222-1-1-1-14400-4-4-2-2-2-21111-42222-1-1-1-100000-2-200000022221111-1-1-1-100000000000000000000000000000000
χ684444-2-244-24-2-24-2-2-21-2-2-4-2-21-211-2-2-22222-1-1-1-1-4-4004422221111-42222-1-1-1-10000022000000-2-2-2-2-1-1-1-1111100000000000000000000000000000000
χ6944-4-444-22-4244-2-4-4-44-2-2022-424-4-2-2200000000004-4000000-2-22200000000000000004-4-22000000000000000000000000-2200000000000000000000
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χ7344-4-44-2-22224-2-2-4-42-21-20-1222-221-2-1−232300−23−232323004-400000011-1-10003−333−3−3000−232300-22-220000000000000000000000001-1003−30000000000000000
χ7444-4-44-2-22224-2-2-4-42-21-20-1222-221-2-1−232300−23−23232300-4400000011-1-10003−333−3−300023−23002-22-2000000000000000000000000-1100−330000000000000000
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Here i is the imaginary unit (i² = −1).