Finite Group Databasebeta

← Group #13172064

Character table — Group #13172064

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666444444121212123666666666666244661212121212121212121212121212121212121212444466612121212121212121222441212121212124466124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1-1-11111111111111111111111-1-1-1-1-11-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-11-11-1-1-1-1-1-111-1111
χ51111111111111111111111111111111111111-1-11111111111111111111111-1111111111-1-1-1-1-1-111111111-1-1-1-1111-111-1-1-1-111-11-11-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-1-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-11-11111-1-111-1-1-11
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
χ91111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-111111-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-11111-1-11-1
χ101111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-111111-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-1-1-111-11
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-111111111-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-11-1-1-1-11111-1-1-11-11
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1-11-1-111-1-1111-11-1
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-111111-1-1-1-1-1111-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-11-1-11-1-111-1-1-1-11-111
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1111-1-11111-11-1-1-1-1111111-11-1-1
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-111-1-1-1-11111-1-1
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1111-1-11111-1-11111-1-111-1-1-1-111
χ17222222-12-122-1222-122-1-1222222-12222-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-100000022-1-1220000000000222-1-1-1-12-1-1-1-1-1-120000000-1-100-1000
χ18222222-12-122-1222-122-1-1222222-12222-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-21100000022-1-1220000000000-2-2-211-11-2-1-1-1-111-2000000011001000
χ19222222-12-122-1222-122-1-1222222-12222-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-22-1-1000000-2-211-2-20000000000-2-22-1-11-121111-1-1-2000000011001000
χ20222222-12-122-1222-122-1-1222222-12222-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211000000-2-211-2-2000000000022-21111-211111120000000-1-100-1000
χ21222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-122200000000-111111-1-1-111112-2-2-1-100000022-1-1-2-20000000000222-1-111-2-1-11111-20000000-1-1001000
χ22222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-122200000000-111111-1-1-11111-2-221100000022-1-1-2-20000000000-2-2-2111-12-1-111-1-1200000001100-1000
χ23222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-200000000-111111-1-1-1111122-2-1-1000000-2-211220000000000-2-22-1-1-11-211-1-111200000001100-1000
χ24222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-200000000-111111-1-1-11111-22211000000-2-21122000000000022-211-1-1211-1-1-1-1-20000000-1-1001000
χ2522222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-10022222222-1222-1-1-1-1-1-1-1-1-120222-1-122-1-1000000-1-1-1-1-1-1-1-10000-1-1-102-10000-1-10202000000000-1-10
χ2622222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-10022222222-1222-1-1-1-1-1-1-1-1-1-20-2-2-2-1-122-1-1000000-1-1-1-1-1-1-1-100001110-210000110-20-2000000000110
χ2722222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-12022211-2-211000000111111110000-1-1-102-10000-1-10-20-2000000000110
χ2822222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-2-2-211-2-2110000001111111100001110-210000110202000000000-1-10
χ2922222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-10022-2-22222-1-2-2-211-1-1-1111120-222-1-1-2-211000000-1-1-1-111110000-1-1-10-210000110-2020000000001-10
χ3022222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-10022-2-22222-1-2-2-211-1-1-11111-202-2-2-1-1-2-211000000-1-1-1-11111000011102-10000-1-1020-2000000000-110
χ3122222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-100-2-222-2-2-2-2-1-2-2-211-1-1-1111120-2221122-1-10000001111-1-1-1-10000-1-1-10-21000011020-2000000000-110
χ3222222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-100-2-222-2-2-2-2-1-2-2-211-1-1-11111-202-2-21122-1-10000001111-1-1-1-1000011102-10000-1-10-2020000000001-10
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-10200022-1-122-1-122-1-1-1-1-1-1-1-1-1-12200000200-1-1-1-1000020-1-1-1-100000000
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-122-2-2-2-21111-12-1-122-1-1-1-1-1-1-102000-2-211-2-2-1-122-1-111111111-2-200000200-1-1-1-10000-20111100000000
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-22222-1-1-1-1-12-1-122-1-1-1-1-1-1-10-200022-1-12211-2-211-1-1-1-1-1-1-1-1-2-200000-20011110000-20111100000000
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-2000-2-211-2-211-2-211111111112200000-2001111000020-1-1-1-100000000
χ372222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-12222-2-2-1-1-1-1-1-211-2-2-1-1-111110-20002211-2-2-1-12211-1-1-1-11111-2-200000-200-1-111000020-1-11100000000
χ382222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-2221111-1-211-2-2-1-1-111110-2000-2-2-1-122-1-122111111-1-1-1-12200000-200-1-1110000-2011-1-100000000
χ392222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222-2-2-1-1-1-1-1-211-2-2-1-1-11111020002211-2-211-2-2-1-1-1-1-1-11111220000020011-1-10000-2011-1-100000000
χ402222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-2-2-2221111-1-211-2-2-1-1-1111102000-2-2-1-12211-2-2-1-11111-1-1-1-1-2-20000020011-1-1000020-1-11100000000
χ4122-2-22222-2-2-2-22-2-22022200002-2-200002-22-2-2-2002i−2i002i2i−2i−2i2000002-2-20000000002i−2i00000000002i2i−2i−2i0000002-2000000000000000000002-22i−2i0000
χ4222-2-22222-2-2-2-22-2-22022200002-2-200002-22-2-2-2002i−2i002i2i−2i−2i2000002-2-20000000002i−2i00000000002i2i−2i−2i000000-2200000000000000000000-22−2i2i0000
χ4322-2-22222-2-2-2-22-2-22022200002-2-200002-22-2-2-200−2i2i00−2i−2i2i2i2000002-2-2000000000−2i2i0000000000−2i−2i2i2i0000002-2000000000000000000002-2−2i2i0000
χ4422-2-22222-2-2-2-22-2-22022200002-2-200002-22-2-2-200−2i2i00−2i−2i2i2i2000002-2-2000000000−2i2i0000000000−2i−2i2i2i000000-2200000000000000000000-222i−2i0000
χ452-22-2222-2222-2-2-2-2-202220000-2-220000-22-2-2-222i−2i002-20000200000-22-2000000000002-22-22i−2i2i−2i00000022-2-22i−2i000000002i−2i00000000002i−2i00000000
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χ482-22-2222-2222-2-2-2-2-202220000-2-220000-22-2-2-22−2i2i00-220000200000-22-200000000000-22-22−2i2i−2i2i000000-2-2222i−2i00000000−2i2i00000000002i−2i00000000
χ492-22-2-122-22-12-211-2-20-1-12−i3i30011-1−i3−i3i3i3-2211-2-12i−2i002-2−i3i3−i3i3-10−i3i3001-11−i3−i3i3i30000000-112-2−ii2i−2i3−3−i3i3−i3i3-1-1112i−2i00000000−ii3−30000003−3−ii00000000
χ502-22-2-122-22-12-211-2-20-1-12−i3i30011-1−i3−i3i3i3-2211-2-12i−2i00-22i3−i3i3−i3-10−i3i3001-11−i3−i3i3i300000001-1-22−ii2i−2i3−3i3−i3i3−i311-1-1−2i2i00000000−ii3−3000000−33i−i00000000
χ512-22-2-122-22-12-211-2-20-1-12−i3i30011-1−i3−i3i3i3-2211-2-1−2i2i002-2−i3i3−i3i3-10−i3i3001-11−i3−i3i3i30000000-112-2i−i−2i2i−33−i3i3−i3i3-1-111−2i2i00000000i−i−33000000−33i−i00000000
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χ542-22-2-122-22-12-211-2-20-1-12i3−i30011-1i3i3−i3−i3-2211-2-12i−2i00-22−i3i3−i3i3-10i3−i3001-11i3i3−i3−i300000001-1-22−ii2i−2i−33−i3i3−i3i311-1-1−2i2i00000000−ii−330000003−3i−i00000000
χ552-22-2-122-22-12-211-2-20-1-12i3−i30011-1i3i3−i3−i3-2211-2-1−2i2i002-2i3−i3i3−i3-10i3−i3001-11i3i3−i3−i30000000-112-2i−i−2i2i3−3i3−i3i3−i3-1-111−2i2i00000000i−i3−30000003−3i−i00000000
χ562-22-2-122-22-12-211-2-20-1-12i3−i30011-1i3i3−i3−i3-2211-2-1−2i2i00-22−i3i3−i3i3-10i3−i3001-11i3i3−i3−i300000001-1-22i−i−2i2i3−3−i3i3−i3i311-1-12i−2i00000000i−i3−3000000−33−ii00000000
χ5744444-2-2-2-24-2-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2-2111111111404-2-2000000000000000000000000-2110-2-20000110000000000000000
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χ7444-4-4-2444-42-4-4-22-440-2-240000-22200004-4-22-4200−4i4i002i2i−2i−2i-200000-222000000000−4i4i00000000002i2i−2i−2i000000000000000000000000000000000000
χ7544-4-4-2-24-2-422-4-222401-2-200001-123-33-3-22-222-1004i−4i00−2i−2i2i2i1000001-1-13-33-300000−2i2i0000000000ii−i−i3i−3i3i−3i00000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).