Finite Group Databasebeta

← Group #72258913

Character table — Group #72258913

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222233334444444444666666666688888888888888881212121212121212121216161616161616161616161616161616161616161616161648484848484848484848484848484848
order1222222244444422222222244444222244444436666666121212121212121222222444446666666666661212121212121212121212122244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111-1-111-1-1111111-111-1-1-111-1-111-1-111-1-111111-1-1-1-111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111-1-111-1-1111111-111-1-1-111-1-111-1-111-1-111111-1-1-1-111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111-1-111-1-1111111-1-1-111-1-1-11111-1-111-1-111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ8111111-1-111-1-1111111-1-1-111-1-1-11111-1-111-1-111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ91111-1-111-1-1-1-1111111-111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ101111-1-111-1-1-1-1111111-111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ111111-1-111-1-1-1-1111111-1-1-1-1-111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-11-11-1-11-11-11-11
χ121111-1-111-1-1-1-1111111-1-1-1-1-111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-11-111-11-11-11-1
χ131111-1-1-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-11111111-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-111-1-111-1-11
χ141111-1-1-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-11111111-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-111-1-111-1-111-1-111-1
χ151111-1-1-1-1-1-1111111111-1-111-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-111111-1-111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11-1-111-1-11-111-1-111-1
χ161111-1-1-1-1-1-1111111111-1-111-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-111111-1-111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-111-1-111-11-1-111-1-11
χ1722222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222222222222-2-2-2-22-2-2-2-22222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-22-2-2-2-2-1-1-1-111111111-1-1-1-1111111110000000000000000
χ1922222222-2-2-2-2-2-2222220000-200002222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-220000-20000222200000000-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2222220000-200002222-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111120000-20000-1-1-1-1−i3−i3i3i3−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i30000000000000000
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χ22222222-2-222-2-2222222-222-2-2-222-2-222-2-222-2-222-1-1-11111-1-1-1-1-11111-222-2-2-222-2-2-1-111-1-1-1-11111-1-111-1-1-1-111110000000000000000
χ23222222-2-222-2-2222222-2-2-222-2-2-22222-2-222-2-222-1-1-11111-1-1-1-1-11111-2-2-222-2-2-222-1-1111111-1-1-1-1-1-1111111-1-1-1-10000000000000000
χ24222222-2-2-2-222-2-22222-200002000022-2-2-2-222-2-2222-2-2-2-22-2-2-2-22222-200002000022-2-200000000-2-222000000000000000000000000
χ25222222-2-2-2-222-2-22222-200002000022-2-2-2-222-2-2-1-1-11111-11111-1-1-1-1-2000020000-1-111−i3−i3i3i3i3i3−i3−i311-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ26222222-2-2-2-222-2-22222-200002000022-2-2-2-222-2-2-1-1-11111-11111-1-1-1-1-2000020000-1-111i3i3−i3−i3−i3−i3i3i311-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ272222-2-2222222-2-22222-20000-20000-2-2222222-2-22222222222222222-20000-20000-2-2-2-200000000-2-2-2-2000000000000000000000000
χ282222-2-2222222-2-22222-20000-20000-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20000-200001111−i3−i3i3i3−i3−i3i3i31111i3i3−i3−i3i3i3−i3−i30000000000000000
χ292222-2-2222222-2-22222-20000-20000-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20000-200001111i3i3−i3−i3i3i3−i3−i31111−i3−i3i3i3−i3−i3i3i30000000000000000
χ302222-2-222-2-2-2-2222222-222222-2-2-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-111111111-222222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ312222-2-222-2-2-2-2222222-2-2-2-2-222222-2-222-2-2-2-222-1-1-1-1-1-1-1-111111111-2-2-2-2-222222111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ322222-2-2-2-222-2-2-2-222222000020000-2-2-2-222-2-2-2-2222-2-2-2-222222-2-2-2-22000020000-2-22200000000-2-222000000000000000000000000
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χ342222-2-2-2-222-2-2-2-222222000020000-2-2-2-222-2-2-2-2-1-1-11111-1-1-1-1-11111200002000011-1-1i3i3−i3−i3−i3−i3i3i311-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ352222-2-2-2-2-2-222222222222-2-2-2-2-222-2-2-2-2-2-22222-1-1-11111-11111-1-1-1-1222-2-2-2-2-22211-1-1-1-1-1-11111-1-1111111-1-1-1-10000000000000000
χ362222-2-2-2-2-2-2222222222-2-222-222-2-2-2-2-2-2-2-22222-1-1-11111-11111-1-1-1-12-2-222-222-2-211-1-11111-1-1-1-1-1-111-1-1-1-111110000000000000000
χ372-2-222-2002-2002-22-22-20002-20002-22-2002-2002-22-2-20000222-2-200000002-20002-22-20000002-22-22-20000002-22-20000000000000000
χ382-2-222-2002-2002-22-22-20002-20002-22-2002-2002-2-111−i3−i3i3i3-1-1-111−i3−i3i3i30002-20002-2-11−i3i3−i3i3−i3i3-11-11-11−i3i3−i3i3−i3i3-11-110000000000000000
χ392-2-222-2002-2002-22-22-20002-20002-22-2002-2002-2-111i3i3−i3−i3-1-1-111i3i3−i3−i30002-20002-2-11i3−i3i3−i3i3−i3-11-11-11i3−i3i3−i3i3−i3-11-110000000000000000
χ402-2-222-2002-2002-22-22-2000-22000-222-2002-2002-22-2-20000222-2-20000000-22000-222-2000000-22-222-2000000-22-220000000000000000
χ412-2-222-2002-2002-22-22-2000-22000-222-2002-2002-2-111−i3−i3i3i3-1-1-111−i3−i3i3i3000-22000-22-11−i3i3i3−i3i3−i31-11-1-11−i3i3i3−i3i3−i31-11-10000000000000000
χ422-2-222-2002-2002-22-22-2000-22000-222-2002-2002-2-111i3i3−i3−i3-1-1-111i3i3−i3−i3000-22000-22-11i3−i3−i3i3−i3i31-11-1-11i3−i3−i3i3−i3i31-11-10000000000000000
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χ442-2-222-200-2200-222-22-202-20002-2002-200-2200-22-111−i3−i3i3i3-111-1-1i3i3−i3−i302-20002-200-11−i3i3-111-1−i3i3i3−i31-1i3−i3-111-1−i3i3i3−i30000000000000000
χ452-2-222-200-2200-222-22-202-20002-2002-200-2200-22-111i3i3−i3−i3-111-1-1−i3−i3i3i302-20002-200-11i3−i3-111-1i3−i3−i3i31-1−i3i3-111-1i3−i3−i3i30000000000000000
χ462-2-222-200-2200-222-22-20-22000-22002-200-2200-222-2-200002-2-22200000-22000-22002-200-222-20000-2200-222-200000000000000000000
χ472-2-222-200-2200-222-22-20-22000-22002-200-2200-22-111−i3−i3i3i3-111-1-1i3i3−i3−i30-22000-2200-11−i3i31-1-11i3−i3−i3i31-1i3−i31-1-11i3−i3−i3i30000000000000000
χ482-2-222-200-2200-222-22-20-22000-22002-200-2200-22-111i3i3−i3−i3-111-1-1−i3−i3i3i30-22000-2200-11i3−i31-1-11−i3i3i3−i31-1−i3i31-1-11−i3i3i3−i30000000000000000
χ492-2-22-22002-200-222-22-202-2000-2200-22002-200-222-2-20000222-2-2000002-2000-2200-22002-2-220000-2200-222-200000000000000000000
χ502-2-22-22002-200-222-22-202-2000-2200-22002-200-22-111−i3−i3i3i3-1-1-111−i3−i3i3i302-2000-22001-1i3−i3-111-1−i3i3i3−i31-1i3−i31-1-11i3−i3−i3i30000000000000000
χ512-2-22-22002-200-222-22-202-2000-2200-22002-200-22-111i3i3−i3−i3-1-1-111i3i3−i3−i302-2000-22001-1−i3i3-111-1i3−i3−i3i31-1−i3i31-1-11−i3i3i3−i30000000000000000
χ522-2-22-22002-200-222-22-20-220002-200-22002-200-222-2-20000222-2-200000-220002-200-2200-222-20000-22002-2-2200000000000000000000
χ532-2-22-22002-200-222-22-20-220002-200-22002-200-22-111−i3−i3i3i3-1-1-111−i3−i3i3i30-220002-2001-1i3−i31-1-11i3−i3−i3i31-1i3−i3-111-1−i3i3i3−i30000000000000000
χ542-2-22-22002-200-222-22-20-220002-200-22002-200-22-111i3i3−i3−i3-1-1-111i3i3−i3−i30-220002-2001-1−i3i31-1-11−i3i3i3−i31-1−i3i3-111-1i3−i3−i3i30000000000000000
χ552-2-22-2200-22002-22-22-20002-2000-22-2200-22002-22-2-200002-2-22200000002-2000-22-220000002-22-22-2000000-22-220000000000000000
χ562-2-22-2200-22002-22-22-20002-2000-22-2200-22002-2-111−i3−i3i3i3-111-1-1i3i3−i3−i30002-2000-221-1i3−i3−i3i3−i3i3-11-11-11−i3i3i3−i3i3−i31-11-10000000000000000
χ572-2-22-2200-22002-22-22-20002-2000-22-2200-22002-2-111i3i3−i3−i3-111-1-1−i3−i3i3i30002-2000-221-1−i3i3i3−i3i3−i3-11-11-11i3−i3−i3i3−i3i31-11-10000000000000000
χ582-2-22-2200-22002-22-22-2000-220002-2-2200-22002-22-2-200002-2-2220000000-220002-2-22000000-22-222-20000002-22-20000000000000000
χ592-2-22-2200-22002-22-22-2000-220002-2-2200-22002-2-111−i3−i3i3i3-111-1-1i3i3−i3−i3000-220002-21-1i3−i3i3−i3i3−i31-11-1-11−i3i3−i3i3−i3i3-11-110000000000000000
χ602-2-22-2200-22002-22-22-2000-220002-2-2200-22002-2-111i3i3−i3−i3-111-1-1−i3−i3i3i3000-220002-21-1−i3i3−i3i3−i3i31-11-1-11i3−i3i3−i3i3−i3-11-110000000000000000
χ6133333333333333-1-1-1-13333333333-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-10000000000000000000000001111-1-1-1-11111-1-1-1-1
χ6233333333333333-1-1-1-13333333333-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000000000-1-1-1-11111-1-1-1-11111
χ6333333333333333-1-1-1-13-3-3-3-33-3-3-3-3-1-1-1-1-1-1-1-1-1-10000000000000000-11111-111110000000000000000000000001111-1-1-1-1-1-1-1-11111
χ6433333333333333-1-1-1-13-3-3-3-33-3-3-3-3-1-1-1-1-1-1-1-1-1-10000000000000000-11111-11111000000000000000000000000-1-1-1-111111111-1-1-1-1
χ65333333-3-333-3-333-1-1-1-1-333-3-3-333-3-3-1-111-1-111-1-100000000000000001-1-1111-1-11100000000000000000000000011-1-1-1-11111-1-1-1-111
χ66333333-3-333-3-333-1-1-1-1-333-3-3-333-3-3-1-111-1-111-1-100000000000000001-1-1111-1-111000000000000000000000000-1-11111-1-1-1-11111-1-1
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χ733333-3-3-3-3-3-33333-1-1-1-1333-3-3-3-3-333111111-1-1-1-10000000000000000-1-1-111111-1-10000000000000000000000001-1-11-111-11-1-11-111-1
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χ936-6-666-6006-6006-6-22-220006-60006-6-2200-2200-220000000000000000000-22000-220000000000000000000000000000000000000000
χ946-6-666-6006-6006-6-22-22000-66000-66-2200-2200-2200000000000000000002-20002-20000000000000000000000000000000000000000
χ956-6-666-600-6600-66-22-2206-60006-600-22002-2002-200000000000000000-22000-22000000000000000000000000000000000000000000
χ966-6-666-600-6600-66-22-220-66000-6600-22002-2002-2000000000000000002-20002-2000000000000000000000000000000000000000000
χ976-6-66-66006-600-66-22-2206-6000-66002-200-22002-200000000000000000-220002-2000000000000000000000000000000000000000000
χ986-6-66-66006-600-66-22-220-660006-6002-200-22002-2000000000000000002-2000-22000000000000000000000000000000000000000000
χ996-6-66-6600-66006-6-22-220006-6000-662-2002-200-220000000000000000000-220002-20000000000000000000000000000000000000000
χ1006-6-66-6600-66006-6-22-22000-660006-62-2002-200-2200000000000000000002-2000-220000000000000000000000000000000000000000
χ1011212-12-1200000012i−12i004-4-440000000000000000−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12000000−12i12i004-4-4400000000000000004i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ10312-1212-120012-1200000044-4-4000000000000-44000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-1212-1200-121200000044-4-40000000000004-4000000000000000000000000000000000000000000000000000000000000000000000000

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