Finite Group Databasebeta

← Group #13171950

Character table — Group #13171950

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666662333666666666444436666666666666666244466121212121212121212124444666121212121212121212121212121212224412121212121244446612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-1-1-111111111-1-1-1-1-1-1-1-1-11-111111111111-1-11-11-1-1-1-1-111-1-1-1-11-1-1
χ31111111111111111111111111111111-1-11111111111111111111-111111-1-1-1-1111111-1-1111111-1-11111-1-1-1-111-11-1-1-1-111-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111-1-111111111111111111-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-11-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11
χ511111111111111111111111111111-1-111111111111111111111-11111-1-11111-1-111-1-111111-11-111-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-1-1-1-111-1-11111-11-1
χ711111111111111111111111111111-1-1-1-1111111111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-11111111-1-1
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111111111-1-111-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-11111111111-1-111-1-1-1-11-1-1-111-1-111-1-111-111-111-1-111-1-111-11-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-11111-1-1-1-111-1-11111111-1-1-11111-1-1-1-111-1-11-1-1-11111-1-1-1-1111-1-1
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-11-1-1-1-1-1-111-1-1111
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-111-11-1-1-1-1-1-1-1-111111
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-1-1-11111-1-1111111-1-1-1111-1-1-1-11111-1-1111-1-1-11111-1-111-1-11-1-1
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-111-111-1-11111-1-1-11-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-111-1-11111-1-111-1-11111-1-111-1-11
χ17222222-1-1222-12-12222-1-12-1-1-122-1-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-12202-1-1220000-1-12222002-1-1-1-1200-1-1-1-10000-1-1020000-1-10000000-10
χ18222222-1-1222-12-12222-1-12-1-1-122-1-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-1-220-211220000-1-1-2-2-2-200-211-11200-1-1-1-10000110-2000011000000010
χ19222222-1-1222-12-12222-1-12-1-1-122-1-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-12-202-1-1-2-200001122-2-2002-1-11-1-20011110000-1-10-2000011000000010
χ20222222-1-1222-12-12222-1-12-1-1-122-1-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-1-2-20-211-2-2000011-2-22200-21111-2001111000011020000-1-10000000-10
χ21222222-1-1222-12-122-22-1-12-1-1-122-1-1-12200-1-2-21-2-21111-1-1-111112-20-2-1-1220000-1-1-2-222002-1-111-200-1-1110000110-20000-1-1000000010
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χ23222222-1-1222-12-122-22-1-12-1-1-122-1-1-1-2-200-1-2-21-2-21111-1-1-11111220-2-1-1-2-2000011-2-2-2-2002-1-1-1120011-1-1000011020000110000000-10
χ24222222-1-1222-12-122-22-1-12-1-1-122-1-1-1-2-200-1-2-21-2-21111-1-1-11111-220211-2-2000011222200-211-1-120011-1-10000-1-10-20000-1-1000000010
χ2522222-1222-1-12222-12-1-12-1-122-1-1-1-122222-12-12-1-1-1-122-1-1-1-1-1-1-1022000-1-122-1-12200000000020-12-1-1-1-1-1-1-1-1-10020200000-1-10000-100
χ2622222-1222-1-12222-12-1-12-1-122-1-1-1-1222-2-2-12-12-1-1-1-122-1-1-1-1-1-1-102-2000-1-1-2-2112200000000020-1-21-1-1-1-1111100-20-200000110000100
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χ2822222-1222-1-12222-12-1-12-1-122-1-1-1-12-2-2-2-2-12-12-1-1-1-122-1-1-1-1-1-1-10-2-200011-2-211-2-2000000000-201-21111111110020200000-1-10000-100
χ2922222-1222-1-12222-1-2-1-12-1-122-1-1-1-122222-1-21-21111-2-2-1-1-111110-2-2000-1-122-1-122000000000-201-21-1-111-1-11100-20200000-1-10000100
χ3022222-1222-1-12222-1-2-1-12-1-122-1-1-1-1222-2-2-1-21-21111-2-2-1-1-111110-22000-1-1-2-21122000000000-2012-1-1-11111-1-10020-200000110000-100
χ3122222-1222-1-12222-1-2-1-12-1-122-1-1-1-12-2-222-1-21-21111-2-2-1-1-1111102-20001122-1-1-2-200000000020-1-2111-1-1-1-1110020-200000110000-100
χ3222222-1222-1-12222-1-2-1-12-1-122-1-1-1-12-2-2-2-2-1-21-21111-2-2-1-1-1111102200011-2-211-2-200000000020-12-111-1-111-1-100-20200000-1-10000100
χ332222-1222-1222-12-122-12-1-12-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-1-1-1-120222200-1-12200-1-10022-1-1-1020-120000-1-1-1-1-1-10002-1-10000000000-1
χ342222-1222-1222-12-122-12-1-12-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-1-1-1-1-202-2-2-200-1-122001100-2-21110-20-120000-1-1-1-111000-21100000000001
χ352222-1222-1222-12-122-12-1-12-1-1-1-122-100-2-2-1-122-1-122-1-1-1-1-1-1-1-1-120-22220011-2-200-1-100-2-2-1-1-10201-200001111-1-1000-21100000000001
χ362222-1222-1222-12-122-12-1-12-1-1-1-122-100-2-2-1-122-1-122-1-1-1-1-1-1-1-1-1-20-2-2-2-20011-2-2001100221110-201-200001111110002-1-10000000000-1
χ372222-1222-1222-12-12-2-12-1-12-1-1-1-122-10022-11-2-211-2-211-1-1-1111120-2-22200-1-122001100-2-2-1-1-10-201-20000-1-111110002110000000000-1
χ382222-1222-1222-12-12-2-12-1-12-1-1-1-122-10022-11-2-211-2-211-1-1-11111-20-22-2-200-1-12200-1-100221110201-20000-1-111-1-1000-2-1-100000000001
χ392222-1222-1222-12-12-2-12-1-12-1-1-1-122-100-2-2-11-2-211-2-211-1-1-11111202-2220011-2-200110022-1-1-10-20-12000011-1-111000-2-1-100000000001
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χ4122-2-2222-2-22-2-222-2-202222-22-2-2-22-2-2002i−2i20000000002-2-20000000000002i−2i2i−2i00002-2000000000000002i−2i00000000002-2002i−2i00000
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χ452-2-2222222-22-2-2-2-2-20222-22-222-2-2-2-22i−2i002000000000-22-200000000002i−2i00002i−2i00002i−2i000000002i−2i0000000000002i−2i0000002-2000
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χ4944444-2-2-24-2-2-24-24-24-21-2-21-2-2-2-211-2440014-2-2-2-211-2-21111111040000-2-20000-2-2000000000-20-200111100000000000000000000000
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χ1018-88-8-4-4-44444-444-4-40222-2-2-2-2-22-2220000-10000000-6611-13-33-30000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4-4-4-884444-80-4-424-4-22-4444-200002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-488-44-4-84-84402-4-4-2-44-42-244400002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-4-44-4444440222-22-222-2-2-2-20000-1000006-6001-11-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-4-44-4444440222-22-222-2-2-2-20000-100000-66001-113-3-330000000000000000000000000000000000000000000000000000000

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