Finite Group Databasebeta

← Group #13172032

Character table — Group #13172032

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order1222333666666666233366666666666666666224466663666666666666244466666666666666121212121212121244121212121212121212121212244441212121212126121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-111111111111111-1-111111111-1-11-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-111111111111111111-1-1-1-1-1-1-1-111-11-1-1-1-111111-11-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-1111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1111
χ51111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-11-11-1-1-1-1-111-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-11-11-1-1-1-1-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-111111-1-1-1-1-111
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
χ91111111111111111-1111-1-1-1-111111-1-1-1-11111111111111-1-1-1-1-1111-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1111-1-1111-1-111-1-11-1-11-111-1-1-1-11-11-11
χ101111111111111111-1111-1-1-1-111111-1-1-1-11111111111111-1-1-1-1-1111-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1111111-1-111-11-1-111-1-1-1-111-111-1-111-1-111-11-11-1
χ111111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-11111-1-111-1-11-1-111111-1-11-1
χ121111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-111-1-1-111-1-111-1-1111-1-111-1-1-111-11
χ131111111111111111-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11-1-1111-1-111-1-1-1-1111-1-111-1-1-1111-1
χ141111111111111111-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1111-1-111-1-1-1-11111111111-1-1-1-1-11-1-111-1-1-1-11111-1-11-1-111111-1-1-11
χ151111111111111111-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1111-111-1-111-1-1-1-11111-1-1-1-1-1-111111-111-1-11111-1-1-111-1-111-1-111-11-1-11
χ161111111111111111-1111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-11111-1-111-1-1-1-1111111-1-1-1-11111-111-1-1-111-1-1111-1-11-111-1-1-1-11-111-1
χ17222222-12-1-12-1222222-1-122-1-12-1-1-1-1-1-1-1-122-1-122002222-1222-1-1-1-1-1-1-1-1-1220222-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1020000-1-1-1-120200000000-1-1000
χ18222222-12-1-12-1222222-1-122-1-12-1-1-1-1-1-1-1-122-1-122002222-1222-1-1-1-1-1-1-1-1-12-20-222-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000110-200001111-20-20000000011000
χ19222222-12-1-12-1222222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2202-2-21111111111112200000000-1-1020000-1-1-1-1-20-20000000011000
χ20222222-12-1-12-1222222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-20-2-2-2111111111111-2-200000000110-20000111120200000000-1-1000
χ21222222-12-1-12-12222-22-1-1-2-2112-1-1-1-1111122-1-122002222-1-2-2-211-1-1-11111-220-2-2-2-1-111-1-1-1-11111-2-200000000-11020000-1-11120-200000000-11000
χ22222222-12-1-12-12222-22-1-1-2-2112-1-1-1-1111122-1-122002222-1-2-2-211-1-1-11111-2-202-2-2-1-111-1-1-1-1111122000000001-10-2000011-1-1-202000000001-1000
χ23222222-12-1-12-12222-22-1-1-2-2112-1-1-1-1111122-1-1-2-200-2-2-2-2-1-2-2-211-1-1-11111220-22211-1-11111-1-1-1-1-2-200000000-11020000-1-111-202000000001-1000
χ24222222-12-1-12-12222-22-1-1-2-2112-1-1-1-1111122-1-1-2-200-2-2-2-2-1-2-2-211-1-1-111112-2022211-1-11111-1-1-1-122000000001-10-2000011-1-120-200000000-11000
χ2522222-12-1222222-1-12-12-1-1-122-12-1-1-1-1-1-1-1-1-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-12020-1-12222-1-1-1-1-1-1-1-10022-1-1-1-1220020-1-1-1-1000000002-1-1-1-10000000
χ2622222-12-1222222-1-12-12-1-1-122-12-1-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-120-20-1-12222-1-1-1-1-1-1-1-100-2-21111-2-200-20111100000000-211110000000
χ2722222-12-1222222-1-12-12-1-1-122-12-1-1-1-1-1-1-1-1-122-2-2221111-12-1-122-1-1-1-1-1-1-1-202011-2-2-2-2111111110022-1-1-1-1-2-20020-1-1-1-100000000-211110000000
χ2822222-12-1222222-1-12-12-1-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-21111-12-1-122-1-1-1-1-1-1-1-20-2011-2-2-2-21111111100-2-211112200-201111000000002-1-1-1-10000000
χ2922222-12-1222222-1-1-2-12-111-2-2-12-1-1-11111-1-1222222-1-1-1-1-1-211-2-2-1-1-11111-20-201122-2-2-1-1-1-111110022-1-1112200-20-1-11100000000-2-1-1110000000
χ3022222-12-1222222-1-1-2-12-111-2-2-12-1-1-11111-1-12222-2-2-1-1-1-1-1-211-2-2-1-1-11111-20201122-2-2-1-1-1-1111100-2-211-1-1-2-2002011-1-100000000211-1-10000000
χ3122222-12-1222222-1-1-2-12-111-2-2-12-1-1-11111-1-122-2-2221111-1-211-2-2-1-1-1111120-20-1-1-2-2221111-1-1-1-10022-1-111-2-200-20-1-11100000000211-1-10000000
χ3222222-12-1222222-1-1-2-12-111-2-2-12-1-1-11111-1-122-2-2-2-21111-1-211-2-2-1-1-111112020-1-1-2-2221111-1-1-1-100-2-211-1-122002011-1-100000000-2-1-1110000000
χ332222-122222-12-1-1222-1-122222-1-12222222-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-1022200000000000000-1-1-1-122220022-1-1-1-1-1-1-1-1-1-1020200000-1-100-100
χ342222-122222-12-1-1222-1-122222-1-12222222-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-10-22-20000000000000011-1-1222200-2-2-11-1-1-1-111110-20-2000001100100
χ352222-122222-12-1-1222-1-122222-1-12222222-1-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-102-2200000000000000-1-111-2-2-2-200221-11111-1-1-1-10-20-2000001100100
χ362222-122222-12-1-1222-1-122222-1-12222222-1-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2000000000000001111-2-2-2-200-2-21111111111020200000-1-100-100
χ372222-122222-12-1-122-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-100220000-111111-1-1-1111102-2-20000000000000011-1-122-2-2002-21-1-1-111-1-1110-202000001100-100
χ382222-122222-12-1-122-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-100220000-111111-1-1-111110-2-2200000000000000-1-1-1-122-2-200-2211-1-11111-1-1020-200000-1-100100
χ392222-122222-12-1-122-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-100-2-20000-111111-1-1-11111022-2000000000000001111-2-222002-2-1-111-1-1-1-111020-200000-1-100100
χ402222-122222-12-1-122-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-100-2-20000-111111-1-1-111110-22200000000000000-1-111-2-22200-22-1111-1-111-1-10-202000001100-100
χ4122-2-222222-2-2-22-2-2-2022200002-22-2-20000-2-22-22-22i−2i22-2-22000002-2-200000000002-20022-2-20000002i−2i2i−2i002i−2i00002i−2i000000000002i−2i000000000
χ4222-2-222222-2-2-22-2-2-2022200002-22-2-20000-2-22-22-2−2i2i22-2-22000002-2-200000000002-20022-2-2000000−2i2i−2i2i00−2i2i0000−2i2i00000000000−2i2i000000000
χ4322-2-222222-2-2-22-2-2-2022200002-22-2-20000-2-22-2-222i−2i-2-2222000002-2-20000000000-2200-2-2220000002i−2i2i−2i00−2i2i00002i−2i00000000000−2i2i000000000
χ4422-2-222222-2-2-22-2-2-2022200002-22-2-20000-2-22-2-22−2i2i-2-2222000002-2-20000000000-2200-2-222000000−2i2i−2i2i002i−2i0000−2i2i000000000002i−2i000000000
χ4522-2-22-12-12-2-2-22-2110-12-1−i3i300-1-2-111−i3−i3i3i3112-22-22i−2i-1-111-10−i3i300-111−i3−i3i3i30000−i3i32-200-1-111−i3−i3i3i3002i−2i−ii3−32i−2i0000−ii3−3000000000−ii3−30000000
χ4622-2-22-12-12-2-2-22-2110-12-1−i3i300-1-2-111−i3−i3i3i3112-22-2−2i2i-1-111-10−i3i300-111−i3−i3i3i30000−i3i32-200-1-111−i3−i3i3i300−2i2ii−i−33−2i2i0000i−i−33000000000i−i−330000000
χ4722-2-22-12-12-2-2-22-2110-12-1−i3i300-1-2-111−i3−i3i3i3112-2-222i−2i11-1-1-10−i3i300-111−i3−i3i3i30000i3−i3-220011-1-1i3i3−i3−i3002i−2i−ii3−3−2i2i0000−ii3−3000000000i−i−330000000
χ4822-2-22-12-12-2-2-22-2110-12-1−i3i300-1-2-111−i3−i3i3i3112-2-22−2i2i11-1-1-10−i3i300-111−i3−i3i3i30000i3−i3-220011-1-1i3i3−i3−i300−2i2ii−i−332i−2i0000i−i−33000000000−ii3−30000000
χ4922-2-22-12-12-2-2-22-2110-12-1i3−i300-1-2-111i3i3−i3−i3112-22-22i−2i-1-111-10i3−i300-111i3i3−i3−i30000i3−i32-200-1-111i3i3−i3−i3002i−2i−ii−332i−2i0000−ii−33000000000−ii−330000000
χ5022-2-22-12-12-2-2-22-2110-12-1i3−i300-1-2-111i3i3−i3−i3112-22-2−2i2i-1-111-10i3−i300-111i3i3−i3−i30000i3−i32-200-1-111i3i3−i3−i300−2i2ii−i3−3−2i2i0000i−i3−3000000000i−i3−30000000
χ5122-2-22-12-12-2-2-22-2110-12-1i3−i300-1-2-111i3i3−i3−i3112-2-222i−2i11-1-1-10i3−i300-111i3i3−i3−i30000−i3i3-220011-1-1−i3−i3i3i3002i−2i−ii−33−2i2i0000−ii−33000000000i−i3−30000000
χ5222-2-22-12-12-2-2-22-2110-12-1i3−i300-1-2-111i3i3−i3−i3112-2-22−2i2i11-1-1-10i3−i300-111i3i3−i3−i30000−i3i3-220011-1-1−i3−i3i3i300−2i2ii−i3−32i−2i0000i−i3−3000000000−ii−330000000
χ5344444-2-2-2-2-24-244-2-24-2-21-2-2-2-2-2-21111111-2-2-2-24400-2-2-2-214-2-2-2-211111114000-2-2-2-2-2-21111111100000000000000000000000000000000000000
χ5444444-2-2-2-2-24-244-2-24-2-21-2-2-2-2-2-21111111-2-2-2-2-4-400222214-2-2-2-21111111-4000222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ5544444-2-2-2-2-24-244-2-2-4-2-212222-2-2111-1-1-1-1-2-2-2-24400-2-2-2-21-42222111-1-1-1-1-400022-2-2221111-1-1-1-100000000000000000000000000000000000000
χ5644444-2-2-2-2-24-244-2-2-4-2-212222-2-2111-1-1-1-1-2-2-2-2-4-40022221-42222111-1-1-1-14000-2-222-2-2-1-1-1-1111100000000000000000000000000000000000000
χ574444-24-24-2-2-2-2-2-2444-21-244-2-2-21-2-2-2-2-2-2-2-2-211000000001-2-2-2111111111040400000000000000-2-200000000-2-20-2000011110000000000000000
χ584444-24-24-2-2-2-2-2-2444-21-244-2-2-21-2-2-2-2-2-2-2-2-211000000001-2-2-21111111110-40-400000000000000220000000022020000-1-1-1-10000000000000000
χ594444-24-24-2-2-2-2-2-244-4-21-2-4-422-21-2-2-22222-2-211000000001222-1-1111-1-1-1-1040-4000000000000002200000000-220-2000011-1-10000000000000000
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χ614444-2-24-244-24-2-2-2-241-2-2-2-2441-2-2-2-2-2-2-2-211-2-2004400001-211-2-2111111100400000000000000000-2-2-2-2-2-20000-20111100000000000000000000
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χ6844-4-44-2-2-2-22-424-4220-2-21−2i32i300-221-1-1i3i3−i3−i322-22-440022-2-210−2i32i3001-1-1i3i3−i3−i300002i3−2i32-200-1-111−i3−i3i3i300000000000000000000000000000000000000
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χ7044-4-44-2-2-2-22-424-4220-2-212i3−2i300-221-1-1−i3−i3i3i322-22-440022-2-2102i3−2i3001-1-1−i3−i3i3i30000−2i32i32-200-1-111i3i3−i3−i300000000000000000000000000000000000000
χ7144-4-4-24444-42-4-22-4-40-2-240000-224-4-4000022-22004i−4i0000-200000-222000000000000000000000000−2i2i4i−4i00000000−2i2i0000000000000000000000
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χ7444-4-4-2-24-24-42-4-222201-2-2−2i32i30012-222−2i3−2i32i32i3-1-1-2200−4i4i000010i3−i3001-1-1i3i3−i3−i3000000000000000000002i−2i2i−2i−2323000000−ii3−300000000000000000000
χ7544-4-4-2-24-24-42-4-222201-2-22i3−2i30012-2222i32i3−2i3−2i3-1-1-22004i−4i000010−i3i3001-1-1−i3−i3i3i300000000000000000000−2i2i−2i2i−2323000000i−i3−300000000000000000000
χ7644-4-4-2-24-24-42-4-222201-2-22i3−2i30012-2222i32i3−2i3−2i3-1-1-2200−4i4i000010−i3i3001-1-1−i3−i3i3i3000000000000000000002i−2i2i−2i23−23000000−ii−3300000000000000000000
χ774-44-4444-4-4-4-44-444-404440000-44-44-400004-4-4-400000000400000-44-4000000000000000000000000000000000000000000000000000000000000
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χ1098-88-8-4-4-44444-44-4-44022200−4i34i3-22-22-22i3−2i32i3−2i32-2-2-200000000-10002i3−2i31-11−i3i3−i3i300000000000000000000000000000000000000000000000000000000
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χ1118-8-88-48-4-84-4-4444-880-42-400004-244-400004-4-2200000000200000-2-22000000000000000000000000000000000000000000000000000000000000
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χ1148-8-88-4-4-444-4-44444-402220000-2-2-2-22-666-6-22-2200000000-10000011-13-3-3300000000000000000000000000000000000000000000000000000000

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