Finite Group Databasebeta

← Group #13172036

Character table — Group #13172036

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order12223336666666662333666666666666666662244666636666666666662444666666666666661212121212121212441212121212121212121212122244466121212126121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111-1-1111-1-1-11111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111-111111111111111-1-1-1-1-1-111-1-1-1111-1-1-1-111111-1-1-11-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-1111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111
χ51111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-111-1-111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-11-1-1-11-1-1-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11-1-1-11111-1-1-111
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
χ91111111111111111-1111-1-1-1-111111-1-1-1-11111111111111-1-1-1-1-1111-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1111111-11-1-111-1-111-1-1-11-1-111111-1-1-11-11-1
χ101111111111111111-1111-1-1-1-111111-1-1-1-11111111111111-1-1-1-1-1111-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1111-11-1-1-1-111-1-11-11-11
χ111111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-111111-1-1-1-1-1111-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-111-111-11
χ121111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-111-1-111-1-11111-11-111-1-1111-1-11-1
χ131111111111111111-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-11111-1-1-11-1-111-1-111-1-111-11-111-1-1111-1-1-11
χ141111111111111111-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-11-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-111-1111-1
χ151111111111111111-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1111-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-11-11-1-1-1-111-1-11-111-1
χ161111111111111111-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-11111-1-111-1-1-1-11111-1-111-1-1-1-1111-111-1-111-1-111-11-1-111111-1-1-11-1-11
χ17222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-1-122-1-122002222-1222-1-1-1-1-1-1-1-1-1222022-1-1-1-1-1-1-1-1-1-1-1-100000022000-12-10000-1-1-1-120002000000-1-1000
χ18222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-1-122-1-122002222-1222-1-1-1-1-1-1-1-1-12-2-2022-1-1-1-1-1-1-1-1-1-1-1-1000000-2-20001-2100001111-2000-200000011000
χ19222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2220-2-211111111111100000022000-12-10000-1-1-1-1-2000-200000011000
χ20222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-2-20-2-2111111111111000000-2-20001-210000111120002000000-1-1000
χ21222222-1222-1-1-1222-22-1-1-2-2112-1-1-1-1111122-1-122002222-1-2-2-211-1-1-11111-22-20-2-2-1-111-1-1-1-1111100000022000-1-210000-1-111-200020000001-1000
χ22222222-1222-1-1-1222-22-1-1-2-2112-1-1-1-1111122-1-122002222-1-2-2-211-1-1-11111-2-220-2-2-1-111-1-1-1-11111000000-2-200012-1000011-1-12000-2000000-11000
χ23222222-1222-1-1-1222-22-1-1-2-2112-1-1-1-1111122-1-1-2-200-2-2-2-2-1-2-2-211-1-1-1111122-202211-1-11111-1-1-1-100000022000-1-210000-1-1112000-2000000-11000
χ24222222-1222-1-1-1222-22-1-1-2-2112-1-1-1-1111122-1-1-2-200-2-2-2-2-1-2-2-211-1-1-111112-2202211-1-11111-1-1-1-1000000-2-200012-1000011-1-1-200020000001-1000
χ2522222-122-1-122222-12-1-122222-1-12222222-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-10222000000000000002222-1-1-1-100-12-12-1-1-1-1-1-1-1-102200-1-1000000-100
χ2622222-122-1-122222-12-1-122222-1-12222222-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-22000000000000002222-1-11100-1-21-2-1-1-1-111110-2-20011000000100
χ2722222-122-1-122222-12-1-122222-1-12222222-1-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1022-200000000000000-2-2-2-211-1-10012-121111-1-1-1-10-2-20011000000100
χ2822222-122-1-122222-12-1-122222-1-12222222-1-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-200000000000000-2-2-2-21111001-21-21111111102200-1-1000000-100
χ2922222-122-1-122222-1-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-100220000-111111-1-1-1111102-2-20000000000000022-2-2-1-1-1-100121-2-1-111-1-11102-200-1-1000000100
χ3022222-122-1-122222-1-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-100220000-111111-1-1-111110-22-20000000000000022-2-2-1-111001-2-12-1-11111-1-10-220011000000-100
χ3122222-122-1-122222-1-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-100-2-20000-111111-1-1-1111102-2200000000000000-2-22211-1-100-121-211-1-1-1-1110-220011000000-100
χ3222222-122-1-122222-1-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-100-2-20000-111111-1-1-111110-22200000000000000-2-222111100-1-2-1211-1-111-1-102-200-1-1000000100
χ332222-122-122222-1-122-12-1-1-122-12-1-1-1-1-1-1-1-1-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-12002-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200222000-1-1-1-100000002000-1-1-1-100000
χ342222-122-122222-1-122-12-1-1-122-12-1-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-1200-2-1-12222-1-1-1-1-1-1-1-11111-2-200-2-2-200011110000000-2000111100000
χ352222-122-122222-1-122-12-1-1-122-12-1-1-1-1-1-1-1-1-122-2-2221111-12-1-122-1-1-1-1-1-1-1-200211-2-2-2-211111111-1-1-1-12200-2-22000-1-1-1-10000000-2000111100000
χ362222-122-122222-1-122-12-1-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-21111-12-1-122-1-1-1-1-1-1-1-200-211-2-2-2-2111111111111-2-20022-2000111100000002000-1-1-1-100000
χ372222-122-122222-1-12-2-12-111-2-2-12-1-1-11111-1-1222222-1-1-1-1-1-211-2-2-1-1-11111-200-21122-2-2-1-1-1-11111-1-111220022-2000-1-1110000000-2000-1-11100000
χ382222-122-122222-1-12-2-12-111-2-2-12-1-1-11111-1-12222-2-2-1-1-1-1-1-211-2-2-1-1-11111-20021122-2-2-1-1-1-1111111-1-1-2-200-2-2200011-1-10000000200011-1-100000
χ392222-122-122222-1-12-2-12-111-2-2-12-1-1-11111-1-122-2-2221111-1-211-2-2-1-1-11111200-2-1-1-2-2221111-1-1-1-1-1-1112200-2-2-2000-1-1110000000200011-1-100000
χ402222-122-122222-1-12-2-12-111-2-2-12-1-1-11111-1-122-2-2-2-21111-1-211-2-2-1-1-111112002-1-1-2-2221111-1-1-1-111-1-1-2-20022200011-1-10000000-2000-1-11100000
χ412-22-222222-22-2-2-2-2-2022200002-22-2-20000-2-22-22-22i−2i22-2-22000002-2-200000000002-20022-2-200002i−2i002i−2i002i−2i00002i−2i00000000000002i−2i0000000
χ422-22-222222-22-2-2-2-2-2022200002-22-2-20000-2-22-22-2−2i2i22-2-22000002-2-200000000002-20022-2-20000−2i2i00−2i2i00−2i2i0000−2i2i0000000000000−2i2i0000000
χ432-22-222222-22-2-2-2-2-2022200002-22-2-20000-2-22-2-222i−2i-2-2222000002-2-20000000000-2200-2-22200002i−2i002i−2i00−2i2i00002i−2i0000000000000−2i2i0000000
χ442-22-222222-22-2-2-2-2-2022200002-22-2-20000-2-22-2-22−2i2i-2-2222000002-2-20000000000-2200-2-2220000−2i2i00−2i2i002i−2i0000−2i2i00000000000002i−2i0000000
χ452-22-2-122-12-22-2-211-20-12-1−i3i300-1-2-111−i3−i3i3i3112-22-22i−2i-1-111-10−i3i300-111−i3−i3i3i30000−i3i32-200-1-111−i3−i3i3i3−ii3−32i−2i002i−2i0000−ii3−300000000000−ii3−300000
χ462-22-2-122-12-22-2-211-20-12-1−i3i300-1-2-111−i3−i3i3i3112-22-2−2i2i-1-111-10−i3i300-111−i3−i3i3i30000−i3i32-200-1-111−i3−i3i3i3i−i−33−2i2i00−2i2i0000i−i−3300000000000i−i−3300000
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χ482-22-2-122-12-22-2-211-20-12-1−i3i300-1-2-111−i3−i3i3i3112-2-22−2i2i11-1-1-10−i3i300-111−i3−i3i3i30000i3−i3-220011-1-1i3i3−i3−i3i−i−33−2i2i002i−2i0000i−i−3300000000000−ii3−300000
χ492-22-2-122-12-22-2-211-20-12-1i3−i300-1-2-111i3i3−i3−i3112-22-22i−2i-1-111-10i3−i300-111i3i3−i3−i30000i3−i32-200-1-111i3i3−i3−i3−ii−332i−2i002i−2i0000−ii−3300000000000−ii−3300000
χ502-22-2-122-12-22-2-211-20-12-1i3−i300-1-2-111i3i3−i3−i3112-22-2−2i2i-1-111-10i3−i300-111i3i3−i3−i30000i3−i32-200-1-111i3i3−i3−i3i−i3−3−2i2i00−2i2i0000i−i3−300000000000i−i3−300000
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χ522-22-2-122-12-22-2-211-20-12-1i3−i300-1-2-111i3i3−i3−i3112-2-22−2i2i11-1-1-10i3−i300-111i3i3−i3−i30000−i3i3-220011-1-1−i3−i3i3i3i−i3−3−2i2i002i−2i0000i−i3−300000000000−ii−3300000
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χ5544444-2-24-2-2-2-2-244-2-4-21-2-4-422-21-2-2-22222-2-211000000001222-1-1111-1-1-1-104-4000000000000000000000-2-2000-222000011-1-10000000000000000
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χ874-44-4-2-24-2-224-4-422201-2-22i3−2i30012-2222i32i3−2i3−2i3-1-1-2200−4i4i000010−i3i3001-1-1−i3−i3i3i30000000000000000002i−2i23−232i−2i00000000−ii−3300000000000000000000
χ884-4-44444-4-44-4-44-44-404440000-44-4-440000-44-4-400000000400000-4-44000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-2-4-4422-2-44-404-2-200−2i32i3-4-222-2−2i32i32i3−2i3-442200000000-2000−2i32i322-2−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ904-4-4444-2-4-4422-2-44-404-2-2002i3−2i3-4-222-22i3−2i3−2i32i3-442200000000-20002i3−2i322-22i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
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χ964-4-444-2-2-42-222-2-4420-21-2002i3−2i32122-22i3−2i3−2i32i32-2-1-1000000001000−i3i3-1-11−i3i3i3−i3000000000000000000000000−232300000000003−33i−3i0000000000000000
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χ984-4-44-2442-44-4-442-2-40-24-200002422-200002-2-4-400002i3−2i3−2i32i3-20000022-2000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ994-4-44-24-22-4422-22-2-40-2-2100−2i32i32-2-1-11i3−i3−i3i32-2220000−2i32i32i3−2i31000−2i32i3-1-11i3−i3−i3i30000000000i3−i3−i3i33-3-3300000000000000000000000000000000000000
χ1004-4-44-24-22-4422-22-2-40-2-2100−2i32i32-2-1-11i3−i3−i3i32-22200002i3−2i3−2i32i31000−2i32i3-1-11i3−i3−i3i30000000000−i3i3i3−i3-333-300000000000000000000000000000000000000
χ1014-4-44-24-22-4422-22-2-40-2-21002i3−2i32-2-1-11−i3i3i3−i32-2220000−2i32i32i3−2i310002i3−2i3-1-11−i3i3i3−i30000000000i3−i3−i3i3-333-300000000000000000000000000000000000000
χ1024-4-44-24-22-4422-22-2-40-2-21002i3−2i32-2-1-11−i3i3i3−i32-22200002i3−2i3−2i32i310002i3−2i3-1-11−i3i3i3−i30000000000−i3i3i3−i33-3-3300000000000000000000000000000000000000
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
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4-8222444422222-2-2-2-2222200000000-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-4-8444-448-8-40-42-400004-24-440000-44-2200000000200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-48444-88-8-44-402-4-40000-244-4400002-24-400000000200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-44444-44-44-402220000-2-2-22-26-66-62-2-2200000000-1000001-11-33-3300000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-44444-44-44-402220000-2-2-22-2-66-662-2-2200000000-1000001-113-33-300000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-48-44-444-8-840-42-40000-4-2-4440000442-2000000002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-4-44-4444440222−4i34i3002-22-2-22i32i3−2i3−2i3-2-22-200000000-102i3−2i300-111−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-4-44-44444402224i3−4i3002-22-2-2−2i3−2i32i32i3-2-22-200000000-10−2i32i300-111i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-4-8-884-4402-4-40000-2-444-40000-224400000000200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444-444-44-44022200−4i34i3-22-2-222i3−2i3−2i32i3-22-2-200000000-10002i3−2i311-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444-444-44-440222004i3−4i3-22-2-22−2i32i32i3−2i3-22-2-200000000-1000−2i32i311-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000

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