Finite Group Databasebeta

← Group #13172251

Character table — Group #13172251

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666662333666666666444436666666666666666444412121212121212121212121244441212121212121212121212121212121212122224661212121244446612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-11
χ31111111111111111111111111111111-1-1111111111111111111-11111-1-1111111-1-111-1-11-11-1111111-1-1-1-11111-11-1-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-1111111111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1111-11-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-11-1
χ511111111111111111111111111111-1-11111111111111111111-1111-1-1111111-1-111-1-111-11-1111-1-1-1-111111111-1-11-1-1-1-1-111-1-1-1-1-11-1
χ611111111111111111111111111111-1-11111111111111111111-11-1-1-1-111-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-11
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
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1111111-1-1111111-1-1-1-1-1-11-111-1-111-1-111-1-11-11-11111-1-111-1-1-11-1
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111-1-1111111-1-111-1-1-1-1-1111-1-111-1-1-1-11111-1-111-1-111-1-1111-1-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-111-1-111-1-111-1-11111-11-111-111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-11
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-11-11-1111-1-1-1-111-1-111-1111-1-1-1-1-1-111-1-1111
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1-11111-1-1-1-111-1-1-1-11-11-11-1-1-11111-1-111-1-1-1111-1-1-1-1-1-1-1-111111
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1-111-1-111-1-11111111-11-1-11-1-11111-1-1-1-111-1-1-11-1-1111111-1-1-1-11
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-111-1-111-1-11111-1-11-1-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-111-1-111-1-1111-11-11111-1-1-1-111-11-1
χ17222222-12222-1-122-122-1-12-1-122-1-1-1-10022-122-122-1-1-1-1-1-1-1-1-1-1-1022200-1-122-1-100220022020-1-120000-1-1-1-1-1-1-1-100200000-1-100000-10
χ18222222-12222-1-122-122-1-12-1-122-1-1-1-10022-122-122-1-1-1-1-1-1-1-1-1-1-102-2-200-1-1-2-211002200-2-2020-11-20000-1-1-1-1111100-200000110000010
χ19222222-12222-1-122-122-1-12-1-122-1-1-1-100-2-2-122-122-1-1-1-1-1-1-1-1-1-1-10-222001122-1-100-2-200-2-20-201-1200001111-1-1-1-100-200000110000010
χ20222222-12222-1-122-122-1-12-1-122-1-1-1-100-2-2-122-122-1-1-1-1-1-1-1-1-1-1-10-2-2-20011-2-21100-2-200220-2011-200001111111100200000-1-100000-10
χ21222222-12222-1-122-1-22-1-12-1-122-1-1-1-10022-1-2-21-2-21111-1-1-111110-22-200-1-12211002200-2-20-201-1-20000-1-111-1-111002000001100000-10
χ22222222-12222-1-122-1-22-1-12-1-122-1-1-1-10022-1-2-21-2-21111-1-1-111110-2-2200-1-1-2-2-1-1002200220-201120000-1-11111-1-100-200000-1-10000010
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χ24222222-12222-1-122-1-22-1-12-1-122-1-1-1-100-2-2-1-2-21-2-21111-1-1-1111102-220011-2-2-1-100-2-200-2-2020-112000011-1-111-1-1002000001100000-10
χ2522222-1222-1-1222-122-12-1-12-1-1-122-1-12200-12-12-1-122-1-1-1-1-1-1-1-1-12022-1-100-1-1222200220020-102-1-1-1-1-10000-1-1-1-1020000-1-1000000-100
χ2622222-1222-1-1222-122-12-1-12-1-1-122-1-12200-12-12-1-122-1-1-1-1-1-1-1-1-120-2-2-1-10011-2-22200-2-20020-10-21-1-1-1-1000011110-2000011000000100
χ2722222-1222-1-1222-122-12-1-12-1-1-122-1-1-2-200-12-12-1-122-1-1-1-1-1-1-1-1-1-20221100-1-122-2-200-2-200-20102-111110000-1-1-1-10-2000011000000100
χ2822222-1222-1-1222-122-12-1-12-1-1-122-1-1-2-200-12-12-1-122-1-1-1-1-1-1-1-1-1-20-2-2110011-2-2-2-2002200-2010-21111100001111020000-1-1000000-100
χ2922222-1222-1-1222-12-2-12-1-12-1-1-122-1-12200-1-21-211-2-211-1-1-11111-202-2-1-100-1-1-2-222002200-201021-1-1110000-1-1110-20000-1-1000000100
χ3022222-1222-1-1222-12-2-12-1-12-1-1-122-1-12200-1-21-211-2-211-1-1-11111-20-22-1-10011222200-2-200-2010-2-1-1-111000011-1-102000011000000-100
χ3122222-1222-1-1222-12-2-12-1-12-1-1-122-1-1-2-200-1-21-211-2-211-1-1-11111202-21100-1-1-2-2-2-200-2-20020-102111-1-10000-1-11102000011000000-100
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χ332222-122-1-12222-1222-1-12-1-12-1-1-1-1222222-1-122-1-1-1-122-1-1-1-1-1-1-1220022220000-1-1-1-10000-1-12200-1-1-1-1-1-1-1-100002002-1-10000000000-1
χ342222-122-1-12222-1222-1-12-1-12-1-1-1-12222-2-2-1-122-1-1-1-122-1-1-1-1-1-1-12-20022-2-20000-1-1110000-112-200-1-1-1-111110000-200-21100000000001
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χ362222-122-1-12222-1222-1-12-1-12-1-1-1-122-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-2-200-2-2-2-200001111000011-2-2001111111100002002-1-10000000000-1
χ372222-122-1-12222-122-2-1-12-1-12-1-1-1-1222222-11-2-21111-2-2-1-1-11111-2-20022220000-1-1-1-1000011-2-200-1-111-1-1110000200-2-1-100000000001
χ382222-122-1-12222-122-2-1-12-1-12-1-1-1-12222-2-2-11-2-21111-2-2-1-1-11111-220022-2-20000-1-11100001-1-2200-1-11111-1-10000-2002110000000000-1
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χ4122-2-22222-22-2-2-2-2-2202222-2-2-2-22-22-22i−2i0020000000002-2-2000000002i−2i0000002i−2i00002-20000002i−2i0000000000000000002-2002i−2i000
χ4222-2-22222-22-2-2-2-2-2202222-2-2-2-22-22-22i−2i0020000000002-2-2000000002i−2i0000002i−2i0000-220000002i−2i000000000000000000-2200−2i2i000
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χ1038-8-88-4-48444-4-88-44-802-4-4-24-4-224-44400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444-44-4-4440222-2-22-22-22-2-20000-100000006-611-1-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444-44-4-4440222-2-22-22-22-2-20000-10000000-6611-13-3-330000000000000000000000000000000000000000000000000000000

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