Finite Group Databasebeta

← Group #13172041

Character table — Group #13172041

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666222244666636666666666664446666666666666612121212121212124444121212121212121212121212244412121212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-111111111-1-1-1-11-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111111-11-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111-1-1-11-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11111-1-1-1-11-11-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-11-1-1-1-11111-11-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-1-111-1-111-1-111-1-111-1-111111-1-1-1
χ101111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1111-1-1-1-111-111111-1-1-1-1-1-1-1111
χ111111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-11-11-1-1-11111-1-11-1-11-1-111-1-1-1-11-111
χ121111111111111111-1111-1-1-1-111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-11-1-1-1111111-11-1-1
χ131111111111111111-1111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-111-1-111-1-1-1-11111111111-1-111111-1-1-111-1-111-1-1-1-11-1-1-11111-1-1-11-11
χ141111111111111111-1111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-111-1-1-11-1111-1-1-1-1111-1-11-1-111-1-1111-11-1
χ151111111111111111-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11-11-1-1-11111-1-1-111111-1-1-1-111-111-1
χ161111111111111111-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1111-1-111-1-11111-1-111-1-111-1-11-1-11
χ17222222-12-1-12-1222222-1-122-1-12-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-102222-1-1-1-1-1-1-1-1-1-1-1-1220000000000-1-1020000-1-1-1-1202000000000-1-100
χ18222222-12-1-12-1222222-1-122-1-12-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-10-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000110-200001111-20-20000000001100
χ19222222-12-1-12-1222222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1022-2-2111111111111220000000000-1-1020000-1-1-1-1-20-20000000001100
χ20222222-12-1-12-1222222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-10-2-2-2-2111111111111-2-20000000000110-200001111202000000000-1-100
χ21222222-12-1-12-12222-22-1-1-2-2112-1-1-1-1111122-1-122-2-2002222-1-2-2-211-1-1-1111102-2-2-2-1-111-1-1-1-11111220000000000-110-20000-1-11120-2000000000-1100
χ22222222-12-1-12-12222-22-1-1-2-2112-1-1-1-1111122-1-122-2-2002222-1-2-2-211-1-1-111110-22-2-2-1-111-1-1-1-11111-2-200000000001-102000011-1-1-2020000000001-100
χ23222222-12-1-12-12222-22-1-1-2-2112-1-1-1-1111122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-1111102-22211-1-11111-1-1-1-1220000000000-110-20000-1-111-2020000000001-100
χ24222222-12-1-12-12222-22-1-1-2-2112-1-1-1-1111122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-111110-222211-1-11111-1-1-1-1-2-200000000001-102000011-1-120-2000000000-1100
χ2522222-12-1222222-1-12-12-1-1-122-12-1-1-1-1-1-1-1-1-122222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1200-1-12222-1-1-1-1-1-1-1-10022-1-1-1-122000020-1-1-1-100000200-1-1-1-100000000
χ2622222-12-1222222-1-12-12-1-1-122-12-1-1-1-1-1-1-1-1-1222222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-1-200-1-12222-1-1-1-1-1-1-1-100-2-21111-2-20000-20111100000-200111100000000
χ2722222-12-1222222-1-12-12-1-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-2221111-12-1-122-1-1-1-1-1-1-120011-2-2-2-2111111110022-1-1-1-1-2-2000020-1-1-1-100000-200111100000000
χ2822222-12-1222222-1-12-12-1-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-1-20011-2-2-2-21111111100-2-21111220000-20111100000200-1-1-1-100000000
χ2922222-12-1222222-1-1-2-12-111-2-2-12-1-1-11111-1-12222-2-222-1-1-1-1-1-211-2-2-1-1-11111-2001122-2-2-1-1-1-111110022-1-111-2-20000-20-1-11100000200-1-11100000000
χ3022222-12-1222222-1-1-2-12-111-2-2-12-1-1-11111-1-12222-2-2-2-2-1-1-1-1-1-211-2-2-1-1-111112001122-2-2-1-1-1-1111100-2-211-1-12200002011-1-100000-20011-1-100000000
χ3122222-12-1222222-1-1-2-12-111-2-2-12-1-1-11111-1-122-2-222221111-1-211-2-2-1-1-11111-200-1-1-2-2221111-1-1-1-10022-1-111220000-20-1-11100000-20011-1-100000000
χ3222222-12-1222222-1-1-2-12-111-2-2-12-1-1-11111-1-122-2-222-2-21111-1-211-2-2-1-1-11111200-1-1-2-2221111-1-1-1-100-2-211-1-1-2-200002011-1-100000200-1-11100000000
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χ342222-122222-12-1-1222-1-122222-1-12222222-1-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-20000000000000011-1-1222200-2-2-2-2-11-1-1-1-11111000-2000011000010
χ352222-122222-12-1-1222-1-122222-1-12222222-1-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-22200000000000000-1-111-2-2-2-200-2-2221-11111-1-1-1-1000-2000011000010
χ362222-122222-12-1-1222-1-122222-1-12222222-1-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2000000000000001111-2-2-2-20022-2-2111111111100020000-1-10000-10
χ372222-122222-12-1-122-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-10000220000-111111-1-1-11111-22-200000000000000-1-1-1-122-2-200222-211-1-111-1-111000-20000-1-1000010
χ382222-122222-12-1-122-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-10000220000-111111-1-1-11111-2-220000000000000011-1-122-2-200-2-2-221-1-1-11111-1-100020000110000-10
χ392222-122222-12-1-122-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-10000-2-20000-111111-1-1-1111122-200000000000000-1-111-2-22200-2-22-2-1111-1-1-1-11100020000110000-10
χ402222-122222-12-1-122-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-10000-2-20000-111111-1-1-111112-22000000000000001111-2-2220022-22-1-111-1-111-1-1000-20000-1-1000010
χ4122-2-2222-22-22-2-2-22-202220000-2-22-2-200002-22-22-2000022-2-22000002-2-20000000002-20022-2-2000000000000002i−2i000000000000000000002i−2i2i−2i0000
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χ4422-2-2222-22-22-2-2-22-202220000-2-22-2-200002-22-2-220000-2-2222000002-2-2000000000-2200-2-22200000000000000−2i2i00000000000000000000−2i2i2i−2i0000
χ452-22-22222-22-2-22-2-2-2022200002-2-22-20000-2-2-22002-22i−2i0000200000-22-200000002-2002-2000022-2-2002i−2i2i−2i002i−2i0000002i−2i0000000000002i−2i00000000
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χ482-22-22222-22-2-22-2-2-2022200002-2-22-20000-2-2-2200-22−2i2i0000200000-22-20000000-2200-220000-2-22200−2i2i−2i2i002i−2i000000−2i2i0000000000002i−2i00000000
χ492-22-22-12-1-22-2-22-2110-12-1−i3i300-1-21-11−i3−i3i3i311-22002-22i−2i−i3i3−i3i3-10−i3i3001-11−i3−i3i3i3000-11002-2−i3i3−i3i3-1-111002i−2i−ii3−32i−2i000000−ii3−3000000003−3−ii00000000
χ502-22-22-12-1-22-2-22-2110-12-1−i3i300-1-21-11−i3−i3i3i311-22002-2−2i2i−i3i3−i3i3-10−i3i3001-11−i3−i3i3i3000-11002-2−i3i3−i3i3-1-11100−2i2ii−i−33−2i2i000000i−i−3300000000−33i−i00000000
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χ552-22-22-12-1-22-2-22-2110-12-1i3−i300-1-21-11i3i3−i3−i311-2200-222i−2i−i3i3−i3i3-10i3−i3001-11i3i3−i3−i30001-100-22−i3i3−i3i311-1-1002i−2i−ii−33−2i2i000000−ii−33000000003−3i−i00000000
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χ1078888-4-4-4-4-4-4-4-4-4-4-4-4-8222444422222-2-2-2-222220000000000-14-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000
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χ1138-88-8-4-4-4-44-444-44440222−4i34i3002-2-22-22i32i3−2i3−2i3-2-2-220000000000-102i3−2i3001-11−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4-44-444-444402224i3−4i3002-2-22-2−2i3−2i32i32i3-2-2-220000000000-10−2i32i3001-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-484-8-8484-44-402-4-40000-2-444-40000-22440000000000200000-2-220000000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-44444-44-44-40222004i3−4i3-22-2-22−2i32i32i3−2i3-22-2-20000000000-1000−2i32i311-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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