Finite Group Databasebeta

← Group #13168707

Character table — Group #13168707

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121222224412121212366612121212121212121244466666666666612121212121212121212444466121212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111111111111111-1-1111111-1-111-1-11-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111111111111111111111-111-1-111-1-11111-1-111111111-1-1-1-1-1-111-11-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111-1-111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111111111-1-1-11-1-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-11-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-111-1-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-11-1-111111-1-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-111-1-1-11-1-111-1-111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1-111-1-11111-1-1-1-1111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-11-1-111-1-11111-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1111-11-1-1-11111-1-1-1-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-111111111-1-111111-1-1-1-1-111-1-11-11-1-1-1111111-1-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-11-11-1-1-1-11111-11-1-111-1-1-1-111-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-111111-1-111-11-1-111-1-11111-11-1-1
χ17222222-122-1-122-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-10022222-1-1-1-1-1-1-1-1-1-12200-1-1-1-12200-1-10020-1-100002000-1-1-1-100000000
χ18222222-122-1-122-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-100-222-2-2-1-111-1-1-1-1112200-1-1-1-1-2-2001100-20110000-2000111100000000
χ19222222-122-1-122-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-2-222-2-21111-1-1-1-12-1-122-1-1-1-1002-2-22211-1-11111-1-1-2-2001111-2-200-1-10020-1-10000-2000111100000000
χ20222222-122-1-122-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-100-2-2-2-2-21111111111-2-200111122001100-201100002000-1-1-1-100000000
χ21222222-122-1-122-1222-1-1-222-1-1-1-1-1-12-2-21111112222-2-21111-1-1-1-1-211-2-2111100-22222-1-1-1-1-1-1-1-111-2-20011112200-1-100-20110000-2000-1-11100000000
χ22222222-122-1-122-1222-1-1-222-1-1-1-1-1-12-2-211111122-2-2-2-21111-1-1-1-1-211-2-2111100222-2-2-1-111-1-1-1-1-1-1-2-2001111-2-200110020-1-10000200011-1-100000000
χ23222222-122-1-122-1222-1-1-222-1-1-1-1-1-12-2-2111111-2-22222-1-1-1-1-1-1-1-1-211-2-2111100-2-2-22211-1-11111112200-1-1-1-1-2-200-1-100-20110000200011-1-100000000
χ24222222-122-1-122-1222-1-1-222-1-1-1-1-1-12-2-2111111-2-2-2-222-1-1-1-1-1-1-1-1-211-2-21111002-2-2-2-211111111-1-12200-1-1-1-12200110020-1-10000-2000-1-11100000000
χ2522222-122-1222-12-12-12-12-1-122-1-1-12-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-1002200002200-1-100000022-1-122-1-1-1-1-1-1-1-100020000-1-100-1000
χ2622222-122-1222-12-12-12-12-1-122-1-1-12-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2200-1-100220000220011000000-2-2-1-1-2-2-11-1-11111000-2000011001000
χ2722222-122-1222-12-12-12-12-1-122-1-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-122-2001100-2-20000-2-200-1-1000000-2-211221-111-1-1-1-1000-2000011001000
χ2822222-122-1222-12-12-12-12-1-122-1-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2001100-2-20000-2-200110000002211-2-21111111100020000-1-100-1000
χ2922222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-11111111112-2-200-1-100220000-2-200-1-100000022-1-12-21111-1-111000-20000-1-1001000
χ3022222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-200-1-100220000-2-20011000000-2-2-1-1-221-11111-1-1000200001100-1000
χ3122222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-22001100-2-200002200-1-1000000-2-2112-2-11-1-1-1-111000200001100-1000
χ3222222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-1111111111-222001100-2-200002200110000002211-22-1-1-1-111-1-1000-20000-1-1001000
χ332222-122-1222-1222-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-1220-1-1002200-1-1-1-100-1-122-1-1-1-1000000-1-10200-1-1-1-10220000000000-1-10
χ342222-122-1222-1222-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-1-2-20-1-1002200-1-1-1-100-1-1-2-2-1-1-1-1000000110-20011110-2-20000000000110
χ352222-122-1222-1222-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-12201100-2-20011110011221111000000-1-10200-1-1-1-10-2-20000000000110
χ362222-122-1222-1222-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-201100-2-20011110011-2-21111000000110-20011110220000000000-1-10
χ372222-122-1222-1222-1-1-12-2-1-1-1-1222-1-111-2-211112200-2-2-2-2-2-2-1-1-1-1-2-2-21111112-20-1-1002200-1-1-1-10011221111000000-110-200-1-11102-20000000000-110
χ382222-122-1222-1222-1-1-12-2-1-1-1-1222-1-111-2-211112200-2-2-2-2-2-2-1-1-1-1-2-2-2111111-220-1-1002200-1-1-1-10011-2-211110000001-1020011-1-10-2200000000001-10
χ392222-122-1222-1222-1-1-12-2-1-1-1-1222-1-111-2-21111-2-200222222-1-1-1-1-2-2-21111112-201100-2-200111100-1-122-1-1-1-1000000-110-200-1-1110-2200000000001-10
χ402222-122-1222-1222-1-1-12-2-1-1-1-1222-1-111-2-21111-2-200222222-1-1-1-1-2-2-2111111-2201100-2-200111100-1-1-2-2-1-1-1-10000001-1020011-1-102-20000000000-110
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χ4922-2-222-1221-1-2-21-2-22-1-102-2-11-1111-200−33−3−3332-22-200−3−333-1-1110−3300−3−3330002-22-2-11-11-1-111−330000−3−3332-200-110000−3300000000-11−3300000000
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χ5122-2-222-1221-1-2-21-2-22-1-102-2-11-1111-200−33−3−333-222-20033−3−3-1-1110−3300−3−333000-222-21-1-1111-1-1−33000033−3−3-2200-110000−33000000001-13−300000000
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χ904-44-4-24-22-422-2-4-242-21-2022-1-12-221-22i3−2i300−i3i3−i3i3000000−2i32i32i3−2i31-1-110002i3−2i3−i3i3−i3i300000000000-33-33000000i3−i3−i3i300000000000000000000000000000000
χ914-44-4-24-22-422-2-4-242-21-2022-1-12-221-22i3−2i300−i3i3−i3i30000002i3−2i3−2i32i31-1-110002i3−2i3−i3i3−i3i3000000000003-33-3000000−i3i3i3−i300000000000000000000000000000000
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χ1014-4-44-2442-44-424-4-4-2-2-2402-22-2-4-4422000000000000−4i4i−4i4i−4i4i-22-22000000000000000000000000002i−2i002i−2i2i−2i00000000000000000000000000000000
χ1024-4-44-24-22-4-22242-4-2-21-202-2-1122-2-1200003i−3i−3i3i00004i−4i−2i2i−2i2i1-11-1000003i−3i−3i3i00000000000-333-300−2i2i00i−ii−i00000000000000000000000000000000
χ1034-4-44-24-22-4-22242-4-2-21-202-2-1122-2-1200003i−3i−3i3i0000−4i4i2i−2i2i−2i1-11-1000003i−3i−3i3i000000000003-3-33002i−2i00−ii−ii00000000000000000000000000000000
χ1044-4-44-24-22-4-22242-4-2-21-202-2-1122-2-120000−3i3i3i−3i00004i−4i−2i2i−2i2i1-11-100000−3i3i3i−3i000000000003-3-3300−2i2i00i−ii−i00000000000000000000000000000000
χ1054-4-44-24-22-4-22242-4-2-21-202-2-1122-2-120000−3i3i3i−3i0000−4i4i2i−2i2i−2i1-11-100000−3i3i3i−3i00000000000-333-3002i−2i00−ii−ii00000000000000000000000000000000
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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
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χ10988-8-8-4-4-4-4-44-44444422202-22-22-2-2-2-20043−43−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4-4-44-44444422202-22-22-2-2-2-200−43432323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-4-844484-4-4-8-4-4204444-22-2-4-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-44444-44-4-442220-2-2-2-2-22-222−4i34i3002i3−2i32i3−2i30000000000-111-10002i3−2i3−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-44444-44-4-442220-2-2-2-2-22-2224i3−4i300−2i32i3−2i32i30000000000-111-1000−2i32i3i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1148-8-888-4-4-84-44-8-4448-4-4204-44-4-2-22440000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-444-444-444-42220-22-22-2-22-2-20000−6i6i6i−6i0000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000

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