Finite Group Databasebeta

← Group #13172211

Character table — Group #13172211

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order1222333666666666233366666666666666666444412121212366666666666644441212121212121212121212121212121212121212121244121212121212121212121212244441212121212126121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-111-1-111111111111111111111-11-1-11111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-11-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1111111111111111111111-11-1-11111-1-1-1-1111111111111-1-11-111-1-1-1-11111-1-11-11-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-11111-11-1-1-11111-1-1-1-1-111
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
χ91111111111111111-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1-11-1-11111-1-111-1-111-1-11111-1-1-1-111-1-1-1111-1-111-1-1-1-111-111-1-111-1-11-11
χ101111111111111111-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-11111-1-1-1-1111-11-111-1-1-1-1111-1-1-1111-1-1-1-111-11-1
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-111-1-1-11-111-1-11111-11-11-1
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-1-11111-1-11-11-111-1-1-1-111111-1-1-1-111-1-11-11-11
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-1-111-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-11-11-1-11111-1-1111-1-1-1-111-1-11-111-1
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-1-111-1-111-11-111-1-11111-11-1-11
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1111-1-1-11111-1-111-1-111-1-1-1-1111111-11-11-1-11111-1-11-1-1-1111-1-1-1-111-1-11
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-1-111-1-111-1-111-1-1-1-1111111111-1-1-111-1-111-1-111-111-1-111-1-111-1
χ17222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-10222-1-1-1-1002222000000000000002-1-12-1-1-1-1-1-1-1-1200200000-1-1-10000
χ18222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-10-22-2-1-11100222200000000000000-2-11-2-1-1-1-11111-200-2000001110000
χ19222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-102-2211-1-100-2-2-2-20000000000000021-121111-1-1-1-1-200-2000001110000
χ20222222-12-1-12222-1222-1-1222222-1-12222-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2111100-2-2-2-200000000000000-211-211111111200200000-1-1-10000
χ21222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1222000000-111111-1-1-1111102-2-2-1-1-1-10022-2-200000000000000-2112-1-111-1-111-200200000-1-110000
χ22222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1222000000-111111-1-1-111110-2-22-1-1110022-2-20000000000000021-1-2-1-11111-1-1200-20000011-10000
χ23222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-12-2-2000000-111111-1-1-11111022-211-1-100-2-22200000000000000-2-11211-1-1-1-111200-20000011-10000
χ24222222-12-1-12222-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-12-2-2000000-111111-1-1-111110-222111100-2-222000000000000002-1-1-211-1-111-1-1-200200000-1-110000
χ2522222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-120202200-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220200-1-1-1-1000002000-1-1-1-10000000
χ2622222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-122-2-21111-1222-1-1-1-1-1-1-1-1-1-2020220011-1-1-1-1-2-2-2-211111111-2-20200-1-1-1-100000-200011110000000
χ2722222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-222-1-1-1-1-1222-1-1-1-1-1-1-1-1-120-20-2-200-1-111112222-1-1-1-1-1-1-1-1-2-20-200111100000-200011110000000
χ2822222-12222-12-1-1222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-20-20-2-200111111-2-2-2-211111111220-2001111000002000-1-1-1-10000000
χ2922222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-12222-1-1-1-1-1-2-2-211-1-1-11111-20-20220011-1-11122-2-2-1-1-1-11111220-200-1-11100000-2000-1-1110000000
χ3022222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-122-2-21111-1-2-2-211-1-1-1111120-202200-1-1-1-111-2-2221111-1-1-1-1-2-20-200-1-11100000200011-1-10000000
χ3122222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-1-2-222-1-1-1-1-1-2-2-211-1-1-11111-2020-2-2001111-1-122-2-2-1-1-1-11111-2-2020011-1-100000200011-1-10000000
χ3222222-12222-12-1-122-2-12-1-2-211-1-12-1111122-1-1-1-2-2-2-21111-1-2-2-211-1-1-111112020-2-200-1-111-1-1-2-2221111-1-1-1-122020011-1-100000-2000-1-1110000000
χ332222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100222222-12-1-122-1-1-1-1-1-1-122020022220000-1-1-1-1-1-1-1-1-1-1-1-100-102-10000-1-1-1-1002020000000-1-100
χ342222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100222222-12-1-122-1-1-1-1-1-1-12-20-200-2-2220000-1-1-1-1-1-1-1-1-1-1-1-10010-210000111100-20-200000001100
χ352222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100-2-2-2-2-2-2-12-1-122-1-1-1-1-1-1-1-22020022-2-2000011111111111100-102-10000-1-1-1-100-20-200000001100
χ362222-122-1222-1222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100-2-2-2-2-2-2-12-1-122-1-1-1-1-1-1-1-2-20-200-2-2-2-200001111111111110010-2100001111002020000000-1-100
χ372222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-100222222-1-211-2-2-1-1-11111-220-20022-2-20000-1-111-1-1-1-111110010-2-10000-1-1110020-200000001-100
χ382222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-100222222-1-211-2-2-1-1-11111-2-20200-2-2-2-20000-1-111-1-1-1-1111100-1021000011-1-100-2020000000-1100
χ392222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-100-2-2-2-2-2-2-1-211-2-2-1-1-11111220-2002222000011-1-11111-1-1-1-10010-2-10000-1-11100-2020000000-1100
χ402222-122-1222-1222-1-2-1-1211-2-2-1-1-121111-1-122-100-2-2-2-2-2-2-1-211-2-2-1-1-111112-20200-2-222000011-1-11111-1-1-1-100-1021000011-1-10020-200000001-100
χ412-22-2222-22-22-2-2-2-2202220000-2-2-2200002-2-2-222i−2i2-222-2-22000002-2-2000000002i−2i00002i−2i002-20022-2-200002i−2i00002i−2i000000000002i−2i000000000
χ422-22-2222-22-22-2-2-2-2202220000-2-2-2200002-2-2-222i−2i-22-2-2222000002-2-2000000002i−2i00002i−2i00-2200-2-2220000−2i2i00002i−2i00000000000−2i2i000000000
χ432-22-2222-22-22-2-2-2-2202220000-2-2-2200002-2-2-22−2i2i2-222-2-22000002-2-200000000−2i2i0000−2i2i002-20022-2-20000−2i2i0000−2i2i00000000000−2i2i000000000
χ442-22-2222-22-22-2-2-2-2202220000-2-2-2200002-2-2-22−2i2i-22-2-2222000002-2-200000000−2i2i0000−2i2i00-2200-2-22200002i−2i0000−2i2i000000000002i−2i000000000
χ452-22-22-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i32-211-12i−2i2-2-1-111-1000−i3i3-111−i3−i3i3i300002i−2i00−i3i3−ii3−32-200-1-111−i3−i3i3i32i−2i0000−ii3−3000000000−ii3−30000000
χ462-22-22-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i32-211-12i−2i-2211-1-1-1000−i3i3-111−i3−i3i3i300002i−2i00i3−i3−ii3−3-220011-1-1i3i3−i3−i3−2i2i0000−ii3−3000000000i−i−330000000
χ472-22-22-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i32-211-1−2i2i2-2-1-111-1000−i3i3-111−i3−i3i3i30000−2i2i00−i3i3i−i−332-200-1-111−i3−i3i3i3−2i2i0000i−i−33000000000i−i−330000000
χ482-22-22-12-22-2-1-211-220-12-100−i3i311-2-1−i3−i3i3i32-211-1−2i2i-2211-1-1-1000−i3i3-111−i3−i3i3i30000−2i2i00i3−i3i−i−33-220011-1-1i3i3−i3−i32i−2i0000i−i−33000000000−ii3−30000000
χ492-22-22-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i32-211-12i−2i2-2-1-111-1000i3−i3-111i3i3−i3−i300002i−2i00i3−i3−ii−332-200-1-111i3i3−i3−i32i−2i0000−ii−33000000000−ii−330000000
χ502-22-22-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i32-211-12i−2i-2211-1-1-1000i3−i3-111i3i3−i3−i300002i−2i00−i3i3−ii−33-220011-1-1−i3−i3i3i3−2i2i0000−ii−33000000000i−i3−30000000
χ512-22-22-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i32-211-1−2i2i2-2-1-111-1000i3−i3-111i3i3−i3−i30000−2i2i00i3−i3i−i3−32-200-1-111i3i3−i3−i3−2i2i0000i−i3−3000000000i−i3−30000000
χ522-22-22-12-22-2-1-211-220-12-100i3−i311-2-1i3i3−i3−i32-211-1−2i2i-2211-1-1-1000i3−i3-111i3i3−i3−i30000−2i2i00−i3i3i−i3−3-220011-1-1−i3−i3i3i32i−2i0000i−i3−3000000000−ii−330000000
χ5344444-2-24-2-2-24-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-2440000001-2-2-21111111110040-2-20000-2-2-2-2000000000000000-200111100000000000000000000
χ5444444-2-24-2-2-24-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-2-4-40000001-2-2-211111111100-402200002222000000000000000200-1-1-1-100000000000000000000
χ5544444-2-24-2-2-24-2-2-24-4-2-21-4-422-2-2-212222-2-211-2440000001222-1-1111-1-1-1-100-40-2-20000-2-22200000000000000020011-1-100000000000000000000
χ5644444-2-24-2-2-24-2-2-24-4-2-21-4-422-2-2-212222-2-211-2-4-40000001222-1-1111-1-1-1-1004022000022-2-2000000000000000-200-1-11100000000000000000000
χ574444-24-2-2-2-24-244-2-24-21-2-2-244-2-21-2-2-2-2-211-2-2-2000000001-211-2-21111111040400-2-200000000000000000000-20-2-2000011110000000000000000
χ584444-24-2-2-2-24-244-2-24-21-2-2-244-2-21-2-2-2-2-211-2-2-2000000001-211-2-211111110-40-400220000000000000000000020220000-1-1-1-10000000000000000
χ594444-24-2-2-2-24-244-2-2-4-21-222-4-4-2-21-2222211-2-2-20000000012-1-122111-1-1-1-1040-400-2-200000000000000000000202-2000011-1-10000000000000000
χ604444-24-2-2-2-24-244-2-2-4-21-222-4-4-2-21-2222211-2-2-20000000012-1-122111-1-1-1-10-404002200000000000000000000-20-220000-1-1110000000000000000
χ614444-2-24-244-2-2-2-24-241-2-2-2-2-2-211-2-21111-2-2-2-210044-2-2-2-214-2-2-2-2111111140000000-2-20000-2-2-2-211111111000000000000000000000000000000
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χ7444-4-4-24-2-22-2-424-4220-21-22i3−2i300-22122i3−2i32i3−2i3-1-1-2220000000010−i3i300-11-1−i3i3−i3i300000023−230000000000000000000000000000−33−3i3i0000000000000000
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χ7644-4-4-2-24-2-4422-22-4201-2-2−2i32i3001-1-22i3−i3i3−i322-22-1000023−2323−2310−2i32i300-11-1i3−i3i3−i3000000000000000000−33−333i−3i3i−3i000000000000000000000000000000
χ7744-4-4-2-24-2-4422-22-4201-2-2−2i32i3001-1-22i3−i3i3−i322-22-10000−2323−232310−2i32i300-11-1i3−i3i3−i30000000000000000003−33−3−3i3i−3i3i000000000000000000000000000000
χ7844-4-4-2-24-2-4422-22-4201-2-22i3−2i3001-1-22−i3i3−i3i322-22-1000023−2323−23102i3−2i300-11-1−i3i3−i3i3000000000000000000−33−33−3i3i−3i3i000000000000000000000000000000
χ7944-4-4-2-24-2-4422-22-4201-2-22i3−2i3001-1-22−i3i3−i3i322-22-10000−2323−2323102i3−2i300-11-1−i3i3−i3i30000000000000000003−33−33i−3i3i−3i000000000000000000000000000000
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χ1088-88-8-48-44-4484-8-84-40-42-4000044-2-400002-244-4000000002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-44-44-44444-4022200−4i34i3-2-2-222i32i3−2i3−2i32-2-2-2200000000-10002i3−2i3-111−i3−i3i3i300000000000000000000000000000000000000000000000000000000
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χ1148-8-88-4-4-44444-44-4-4402220000-22-2-2-666-6-22-22-200000000-10000011-13-3-3300000000000000000000000000000000000000000000000000000000

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