Finite Group Databasebeta

← Group #13172350

Character table — Group #13172350

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212121212121212121212121212181818181818181824242424242424242424242436363636363672727272108108
order1222223336666666663336666666666666666666366666666666224444666666666666666612121212121212122222666612121212121212121212121222446666121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-1-11-11-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-11-1111
χ71111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-11-11-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1111-1-1-1-11-11-11-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111111-11-111-1-111-1-11-1-11-1-11-1-111-1
χ101111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1111-1-1-1-11-11-1-111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1111-1-1-1-11111-1-11111-1-1-11
χ111111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1111-1-1-1-11-1-111-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-11
χ121111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1111-1-1-1-11-1-11-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-11-11-1-111-1-111-111-1-1-1-111-11-1
χ131111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-11-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111111-11-111-1-111-1-1-111-1-1-1-111-1-11
χ141111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1111-1
χ151111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1111-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-111-1-1-11111-1-111-1-11111-1-11-1
χ161111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11111-11-11-1-111-1-1111-1-11-1-11-1-11-11
χ1722222222-1-12222-1-122-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000000000000000-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000-1-1000000
χ1822222222-1-12222-1-122-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022-2-20000000000000000-1-1-1-11111-2-2-2-2111122-2-2-1-1-1-11111000011000000
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χ2022222222-1-12222-1-122-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000000000111111112222-1-1-1-1-2-2-2-2111111110000-1-1000000
χ212222222-12222-1-1222-12-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-122002222-1-122-1-1-1-1-1-1-1-1-1-1000022220000000000-1-10000-1-1-1-10202000-10-100
χ222222222-12222-1-1222-12-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-12200-2-222-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000011000011110-20-200010100
χ232222222-12222-1-1222-12-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-2-20022-2-211-2-21111111111000022220000000000-1-10000-1-1-1-10-20-200010100
χ242222222-12222-1-1222-12-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-2-200-2-2-2-211-2-211111111110000-2-2-2-2000000000011000011110202000-10-100
χ25222222-1222-1-12222-12-12-1-1-12222-12-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1222200-1-122-1-122-1-1-1-1-1-1-1-12222000000000000-1-100-1-1-1-10000202000-10-1000
χ26222222-1222-1-12222-12-12-1-1-12222-12-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-122-2-200-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000110011110000-20-2000101000
χ27222222-1222-1-12222-12-12-1-1-12222-12-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-2-2220011-2-211-2-2111111112222000000000000-1-100-1-1-1-10000-20-2000101000
χ28222222-1222-1-12222-12-12-1-1-12222-12-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-2-2-2-20011-2-211-2-211111111-2-2-2-2000000000000110011110000202000-10-1000
χ292222-2-222-1-12222-1-122-1-12-2-2-2-211-1-1222-2-2-2-2-1-1-1-1-11111-1-1-11111002-22-20000000000000000-1-111-1-11122-2-2-1-1-1-12-22-2-1-111-1-111000011000000
χ302222-2-222-1-12222-1-122-1-12-2-2-2-211-1-1222-2-2-2-2-1-1-1-1-11111-1-1-11111002-2-220000000000000000-1-11111-1-1-2-22211112-2-22-1-11111-1-10000-1-1000000
χ312222-2-222-1-12222-1-122-1-12-2-2-2-211-1-1222-2-2-2-2-1-1-1-1-11111-1-1-1111100-222-2000000000000000011-1-1-1-111-2-2221111-222-211-1-1-1-1110000-1-1000000
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χ332222-2-22-12222-1-1222-12-1-1-2-211-2-22-1-1-1-1111122-1-1-1-2-211-1-1-111112-2002-222-1-1-2-211-1-1-1-11111000022-2-20000000000-110000-1-1110-20200010-100
χ342222-2-22-12222-1-1222-12-1-1-2-211-2-22-1-1-1-1111122-1-1-1-2-211-1-1-111112-200-2222-1-1-2-211-1-1-1-111110000-2-22200000000001-1000011-1-1020-2000-10100
χ352222-2-22-12222-1-1222-12-1-1-2-211-2-22-1-1-1-1111122-1-1-1-2-211-1-1-11111-22002-2-2-21122-1-11111-1-1-1-1000022-2-20000000000-110000-1-111020-2000-10100
χ362222-2-22-12222-1-1222-12-1-1-2-211-2-22-1-1-1-1111122-1-1-1-2-211-1-1-11111-2200-22-2-21122-1-11111-1-1-1-10000-2-22200000000001-1000011-1-10-20200010-100
χ372222-2-2-1222-1-12222-12-12-111-2-2-2-2-12-1-1-11111-1-122-111-2-2-1-1-111112-22-200-1-12211-2-2-1-1-1-1111122-2-2000000000000-1100-1-111000020-2000-101000
χ382222-2-2-1222-1-12222-12-12-111-2-2-2-2-12-1-1-11111-1-122-111-2-2-1-1-111112-2-2200-1-12211-2-2-1-1-1-11111-2-2220000000000001-10011-1-10000-20200010-1000
χ392222-2-2-1222-1-12222-12-12-111-2-2-2-2-12-1-1-11111-1-122-111-2-2-1-1-11111-222-20011-2-2-1-1221111-1-1-1-122-2-2000000000000-1100-1-1110000-20200010-1000
χ402222-2-2-1222-1-12222-12-12-111-2-2-2-2-12-1-1-11111-1-122-111-2-2-1-1-11111-22-220011-2-2-1-1221111-1-1-1-1-2-2220000000000001-10011-1-1000020-2000-101000
χ412-2-222-22222-2-2-2-2-2-2222222-22-22-2222-2-222-2-2-2-2-2-222-22-22-2-222-2-20000000000000000000000000000002-22-222-2-200000000000000002-2000000
χ422-2-222-22222-2-2-2-2-2-2222222-22-22-2222-2-222-2-2-2-2-2-222-22-22-2-222-2-2000000000000000000000000000000-22-22-2-2220000000000000000-22000000
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χ462-2-222-222-1-1-2-2-2-21122-1-122-22-2-11-1-12-2-222-2-21111-1-11-11-111-1-1110000000000000000000000−33−33−33−332-22-2-1-1110000−33−33−33−330000-11000000
χ472-2-22-222222-2-2-2-2-2-222222-22-22-22222-2-2-2-222-2-2-2-22-22-222-2-2-2-2220000000000000000000000000000002-2-2222-2-20000000000000000-22000000
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χ492-2-22-2222-1-1-2-2-2-21122-1-12-22-221-1-1-12-2-2-2-2221111-11-11-1-11111-1-100000000000000000000003−3−333−3−332-2-22-1-11100003−3−333−3−3300001-1000000
χ502-2-22-2222-1-1-2-2-2-21122-1-12-22-221-1-1-12-2-2-2-2221111-11-11-1-11111-1-100000000000000000000003−3−33−333−3-222-211-1-100003−3−33−333−30000-11000000
χ512-2-22-2222-1-1-2-2-2-21122-1-12-22-221-1-1-12-2-2-2-2221111-11-11-1-11111-1-10000000000000000000000−333−33−3−33-222-211-1-10000−333−33−3−330000-11000000
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χ534444444-2-2-244-2-2-2-24-2-21-244-2-2-2-2-21-2-2-2-2-2-2-2-2-2111-2-211111111100004400000000000000000000-2-2-2-20000000000-2-200001111000000000000
χ544444444-2-2-244-2-2-2-24-2-21-244-2-2-2-2-21-2-2-2-2-2-2-2-2-2111-2-21111111110000-4-40000000000000000000022220000000000220000-1-1-1-1000000000000
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χ1024-4-44-44-2-2442222-4-4-2-2-2-212-22-2-44-2-21-1-1-1-111222212-22-21-1-1-1-11100000000000000-333-33-3-330000000000000000000000000000000000000000
χ103888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-42222222222222-12222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000
χ1048888-8-8-4-4-4-4-4-4-4-4-4-4-4-422244444422222-2-2-2-22222-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000000
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χ10788-8-800-4-4-44-44-44-4444222000000-2-2-22-26-66-62-22-2-100001-11-33-3300000000000000000000000000000000000000000000000000000000000000
χ10888-8-800-4-4-44-44-44-4444222000000-2-2-22-2-66-662-22-2-100001-113-33-300000000000000000000000000000000000000000000000000000000000000
χ1098-88-8008-4-44-884-44-4-84-42-40000004-244-400004-4-2220000-2-22000000000000000000000000000000000000000000000000000000000000000000
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χ1128-88-800-4-4-444-44-44-444222000000-2-2-2-22-666-6-22-22-1000011-13-3-3300000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).