Finite Group Databasebeta

← Group #13172058

Character table — Group #13172058

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666623336666666666666666644441212121236666666666662444121212121212121212121212121212121212121212124466661212121212121212244441212121212126121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-111-1111111111111-1-11111111111-1-1-1-1-111111-1-1-11-1-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-111-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-11-1-1-1-1-1-111-111
χ51111111111111111111111111111111111111-1-1111111111111111111111-11-1-1111111-1-1-1-11111111111-1-111111-1-1-1-1-1111-1-1-11-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111111111111-1-11111111111111111111-11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-11-1-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1111-1-1-1-1111-1-1-1-1111111111111111-1-1-1-1-1111-1-1-1-11-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11-1-11-1-1-111-1-11-11-11
χ101111111111111111-1111-1-1-1-1111-1-1-1-1111111111111111-1-1-1-1-1111-1-1-1-1-1-1-111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11-111-1-111-1-11-111111-1-1-11-11-1
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-11-111-1-1-1-111-1111-1
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-111111-1-111-1-1111-1-1-11
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111111-1-1-1-1-1111-1-1-1-11-11-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111-1-1111-1-111-1-1111-1-11-1
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-11-111-1-1-1-111-111-11
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-1-1-11111111111-11-1-111-1-1-1-11-111111-1-1-11-1-11
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-111111-1-11-1-1-111-1-11-111-1
χ17222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-100222222-1222-1-1-1-1-1-1-1-1-1220200-1-122-1-1000022-1-1-1-1-1-1-1-1002-1-1-1-100000-1-120002000000-1-1000
χ18222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-100222222-1222-1-1-1-1-1-1-1-1-1-220-200-1-122-1-10000-2-2-1-1-1-1-1-1-1-100-211110000011-2000-200000011000
χ19222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-100-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-12-2020011-2-21100002211111111002-1-1-1-100000-1-1-2000-200000011000
χ20222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-100-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-20-20011-2-2110000-2-21111111100-21111000001120002000000-1-1000
χ21222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-100222222-1-2-2-211-1-1-111112-20-200-1-1-2-2110000-2-2-1-1-1-11111002-1-1-1100000112000-2000000-11000
χ22222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-100222222-1-2-2-211-1-1-11111-2-20200-1-1-2-211000022-1-1-1-1111100-2111-100000-1-1-200020000001-1000
χ23222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-100-2-2-2-2-2-2-1-2-2-211-1-1-11111220-2001122-1-10000-2-21111-1-1-1-1002-1-1-110000011-200020000001-1000
χ24222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-100-2-2-2-2-2-2-1-2-2-211-1-1-11111-2202001122-1-10000221111-1-1-1-100-2111-100000-1-12000-2000000-11000
χ2522222-122-122-1222-12-12-12222-1222222-1-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-12022-1-10000002222-1-10000000000-12-1-12-1-1-1-1-1-1-100220-1-1000000-100
χ2622222-122-122-1222-12-12-12222-1222222-1-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-202-2-1-100000022221100000000001-211-2-1-1-1-1-11100-2-2011000000100
χ2722222-122-122-1222-12-12-12222-1222222-1-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-120-2211000000-2-2-2-2-1-10000000000-12-1-1211111-1-100-2-2011000000100
χ2822222-122-122-1222-12-12-12222-1222222-1-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-211000000-2-2-2-21100000000001-211-2111111100220-1-1000000-100
χ2922222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-1222000000-111111-1-1-1111120-2-2-1-100000022-2-2110000000000-12-1-1-21-1-1111100-22011000000-100
χ3022222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-1222000000-111111-1-1-11111-20-22-1-100000022-2-2-1-100000000001-21121-1-111-1-1002-20-1-1000000100
χ3122222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-12-2-2000000-111111-1-1-11111202-211000000-2-222110000000000-12-1-1-2-111-1-111002-20-1-1000000100
χ3222222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-12-2-2000000-111111-1-1-11111-202211000000-2-222-1-100000000001-2112-111-1-1-1-100-22011000000-100
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-12222-1-1-1-1-12-1-122-1-1-1-1-1-1-102202222-1-122-1-1-1-100-1-1-1-1-1-1-1-122000002-1-1-1-1000200000-1-1-1-100000
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-122-2-21111-12-1-122-1-1-1-1-1-1-10-22022-2-211-2-2-1-1-1-10011111111-2-2000002-1-1-1-1000-200000111100000
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-222-1-1-1-1-12-1-122-1-1-1-1-1-1-102-20-2-222-1-122111100-1-1-1-1-1-1-1-1-2-200000-21111000-200000111100000
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-2-20-2-2-2-211-2-2111100111111112200000-21111000200000-1-1-1-100000
χ372222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-12222-1-1-1-1-1-211-2-2-1-1-111110-2-20222211-2-2-1-11100-1-1-1-111112200000-2-1-111000-200000-1-11100000
χ382222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-21111-1-211-2-2-1-1-1111102-2022-2-2-1-122-1-111001111-1-1-1-1-2-200000-2-1-11100020000011-1-100000
χ392222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222-1-1-1-1-1-211-2-2-1-1-111110-220-2-22211-2-211-1-100-1-1-1-11111-2-200000211-1-100020000011-1-100000
χ402222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-2-2-21111-1-211-2-2-1-1-111110220-2-2-2-2-1-12211-1-1001111-1-1-1-12200000211-1-1000-200000-1-11100000
χ412-22-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-222i−2i2-222-2-22000002-2-2000000002i−2i2-200002i−2i000022-2-200002i−2i0000002i−2i000000000002i−2i0000000
χ422-22-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-222i−2i-22-2-2222000002-2-2000000002i−2i-2200002i−2i0000-2-2220000−2i2i0000002i−2i00000000000−2i2i0000000
χ432-22-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-22−2i2i2-222-2-22000002-2-200000000−2i2i2-20000−2i2i000022-2-20000−2i2i000000−2i2i00000000000−2i2i0000000
χ442-22-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-22−2i2i-22-2-2222000002-2-200000000−2i2i-220000−2i2i0000-2-22200002i−2i000000−2i2i000000000002i−2i0000000
χ452-22-2-122-2-2-12211-2-20-1-12−i3i300-111−i3−i3i3i32-211-2-12i−2i2-2-1-111-10−i3i300-111−i3−i3i3i300002i−2i2-2−i3i300−ii3−300-1-111−i3−i3i3i32i−2i000000−ii3−3000000000−ii3−300000
χ462-22-2-122-2-2-12211-2-20-1-12−i3i300-111−i3−i3i3i32-211-2-12i−2i-2211-1-1-10−i3i300-111−i3−i3i3i300002i−2i-22i3−i300−ii3−30011-1-1i3i3−i3−i3−2i2i000000−ii3−3000000000i−i−3300000
χ472-22-2-122-2-2-12211-2-20-1-12−i3i300-111−i3−i3i3i32-211-2-1−2i2i2-2-1-111-10−i3i300-111−i3−i3i3i30000−2i2i2-2−i3i300i−i−3300-1-111−i3−i3i3i3−2i2i000000i−i−33000000000i−i−3300000
χ482-22-2-122-2-2-12211-2-20-1-12−i3i300-111−i3−i3i3i32-211-2-1−2i2i-2211-1-1-10−i3i300-111−i3−i3i3i30000−2i2i-22i3−i300i−i−330011-1-1i3i3−i3−i32i−2i000000i−i−33000000000−ii3−300000
χ492-22-2-122-2-2-12211-2-20-1-12i3−i300-111i3i3−i3−i32-211-2-12i−2i2-2-1-111-10i3−i300-111i3i3−i3−i300002i−2i2-2i3−i300−ii−3300-1-111i3i3−i3−i32i−2i000000−ii−33000000000−ii−3300000
χ502-22-2-122-2-2-12211-2-20-1-12i3−i300-111i3i3−i3−i32-211-2-12i−2i-2211-1-1-10i3−i300-111i3i3−i3−i300002i−2i-22−i3i300−ii−330011-1-1−i3−i3i3i3−2i2i000000−ii−33000000000i−i3−300000
χ512-22-2-122-2-2-12211-2-20-1-12i3−i300-111i3i3−i3−i32-211-2-1−2i2i2-2-1-111-10i3−i300-111i3i3−i3−i30000−2i2i2-2i3−i300i−i3−300-1-111i3i3−i3−i3−2i2i000000i−i3−3000000000i−i3−300000
χ522-22-2-122-2-2-12211-2-20-1-12i3−i300-111i3i3−i3−i32-211-2-1−2i2i-2211-1-1-10i3−i300-111i3i3−i3−i30000−2i2i-22−i3i300i−i3−30011-1-1−i3−i3i3i32i−2i000000i−i3−3000000000−ii−3300000
χ5344444-2-2-2-24-2-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-2000000001-2-2-21111111114004000000000000-2-20000000000-2-211-200000110000000000000000
χ5444444-2-2-2-24-2-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-2000000001-2-2-2111111111-400-400000000000022000000000022-1-1200000-1-10000000000000000
χ5544444-2-2-2-24-2-244-2-2-4-2-21-4-422-2-2-2222211-2-21-2000000001222-1-1111-1-1-1-1400-4000000000000220000000000-2-211200000-1-10000000000000000
χ5644444-2-2-2-24-2-244-2-2-4-2-21-4-422-2-2-2222211-2-21-2000000001222-1-1111-1-1-1-1-4004000000000000-2-2000000000022-1-1-200000110000000000000000
χ574444-24-2-24-2-24-2-2-244-21-2-2-2-2-2-2111111-2-2-2-2-210044-2-2-2-214-2-2-2-21111111040000-2-2-2-2-2-200000011111111000000000000000000000000000000
χ584444-24-2-24-2-24-2-2-244-21-2-2-2-2-2-2111111-2-2-2-2-2100-4-4222214-2-2-2-211111110-40000222222000000-1-1-1-1-1-1-1-1000000000000000000000000000000
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χ794-44-44-24-4244-2-4-4-420-24-20000-2-4-40000-222224−4i4i000000-200000-222000000002i−2i000000−4i4i000000000000000000002i−2i00000000000000000000
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χ904-4-4444-22-4-42-4-44-2404-2-2002i3−2i3-42-22i3−2i3−2i32i322-44-2200000000-20002i3−2i322-22i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ914-4-444-24-42-4-42-444-20-24-200002-440000222-2-2-400000000-20000022-200000000000000000000−2i32i300000000000000000000−2i32i30000000000000000
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χ954-4-444-2-222-422-44-2-20-2-21002i3−2i322-22i3−2i3−2i32i3-1-12-212000000001000−i3i3-1-11−i3i3i3−i30000000000000000−2i32i3000000000000-33000000i3−i30000000000000000
χ964-4-444-2-222-422-44-2-20-2-21002i3−2i322-22i3−2i3−2i32i3-1-12-212000000001000−i3i3-1-11−i3i3i3−i300000000000000002i3−2i30000000000003-3000000−i3i30000000000000000
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χ984-4-44-244-4-42-4-42-2440-2-24000022-20000-4-42-2420000−232323−23-20000022-20000000000000000000000−232323−230000000000000000000000000000000000
χ994-4-44-24-22-422-42-2-240-21-200−2i32i32-11i3−i3−i3i3222-2-2-1000023−23−23231000−2i32i3-1-11i3−i3−i3i3000000000000000000−333−33i−3i−3i3i000000000000000000000000000000
χ1004-4-44-24-22-422-42-2-240-21-200−2i32i32-11i3−i3−i3i3222-2-2-10000−232323−231000−2i32i3-1-11i3−i3−i3i30000000000000000003−3−33−3i3i3i−3i000000000000000000000000000000
χ1014-4-44-24-22-422-42-2-240-21-2002i3−2i32-11−i3i3i3−i3222-2-2-1000023−23−232310002i3−2i3-1-11−i3i3i3−i3000000000000000000−333−3−3i3i3i−3i000000000000000000000000000000
χ1024-4-44-24-22-422-42-2-240-21-2002i3−2i32-11−i3i3i3−i3222-2-2-10000−232323−2310002i3−2i3-1-11−i3i3i3−i30000000000000000003−3−333i−3i−3i3i000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4-4-4222222222222200000000-1-42222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
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χ10788-8-8-4-4-4-4-4444-444402220000-22-26-66-6-222-2-2-200000000-1000001-11-33-3300000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-4-4-4444-444402220000-22-2-66-66-222-2-2-200000000-1000001-113-33-300000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-4448-4-4-8-8440-4-420000-44400002-244-2-4000000002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-444-4-4-444440222−4i34i3002-2-22i32i3−2i3−2i32-2-2-2-2200000000-102i3−2i300-111−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-444-4-4-4444402224i3−4i3002-2-2−2i3−2i32i32i32-2-2-2-2200000000-10−2i32i300-111i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48-844-844-48-402-4-40000-24-4000044-22-4400000000200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444444-4-4-4022200−4i34i3-2-222i3−2i3−2i32i3-2-2-222-200000000-10002i3−2i311-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444444-4-4-40222004i3−4i3-2-22−2i32i32i3−2i3-2-2-222-200000000-1000−2i32i311-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000

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