Finite Group Databasebeta

← Group #13172027

Character table — Group #13172027

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666623336666666666666666622444412121212366666666666624466661212121212121212121212121212121212124444666666121212121212244412121212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-11111111111-1-1111111111111-1-1-1-111-1-11-111-1-1-11-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-11-1-11-1-1-1-1-1-1111-111
χ51111111111111111111111111111111111111-1-11111111111111111111111-11-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-11-1-1111-1-11-1-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-11-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-1-111-11-1-111-1-11111-1-1-11
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
χ91111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111111-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-111-1-111-11
χ101111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111111-1-1-1-1-1111-1-1-1-1-1-111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-11-1-111-11-11-1-1111111-1-11-1
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-11-1-1111-1-1-11111-1-1-1-11-1-11
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1111-111-1-11-1-1-11111-1-1111-1-1-1
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1111
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1111-111-1-1-11-11-1-11111-1-1-1-111
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1111111-1-1
χ17222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-10022222222-1222-1-1-1-1-1-1-1-1-1202000000-1-1-1-12222-1-1-1-1-1-1-1-100002-100-1-10-100-1-1200200000000-10-10
χ18222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-10022222222-1222-1-1-1-1-1-1-1-1-1-20-2000000-1-1-1-1-2-222-1-1-1-1-1-1-1-10000-210011010011-200-2000000001010
χ19222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1202000000111122-2-21111111100002-100-1-10-100-1-1-200-2000000001010
χ20222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-20000001111-2-2-2-2111111110000-210011010011200200000000-10-10
χ21222222-12-12-1222-12-2-12-1-2-211-1-1111122-1-12-1-10022-2-22222-1-2-2-211-1-1-1111120-2000000-1-111-2-2-2-2-1-1-1-1111100002-100-1-1010011200-200000000-1010
χ22222222-12-12-1222-12-2-12-1-2-211-1-1111122-1-12-1-10022-2-22222-1-2-2-211-1-1-11111-202000000-1-11122-2-2-1-1-1-111110000-2100110-100-1-1-20020000000010-10
χ23222222-12-12-1222-12-2-12-1-2-211-1-1111122-1-12-1-100-2-222-2-2-2-2-1-2-2-211-1-1-1111120-200000011-1-1-2-2221111-1-1-1-100002-100-1-1010011-20020000000010-10
χ24222222-12-12-1222-12-2-12-1-2-211-1-1111122-1-12-1-100-2-222-2-2-2-2-1-2-2-211-1-1-11111-20200000011-1-122221111-1-1-1-10000-2100110-100-1-1200-200000000-1010
χ2522222-12-12222-1-12222-1-12222222222-1-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1220000-1-100000000000022-12-1-1-1-1-12-1-1-1-1002000-1-100000-100
χ2622222-12-12222-1-12222-1-12222222222-1-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-222-1-122000011000000000000-2-21-2-1-111-1-2-1-11100-20001100000100
χ2722222-12-12222-1-12222-1-12222222222-1-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-22-2-211-2-20000-1-1000000000000-2-2-1211-1-11211-1-100-20001100000100
χ2822222-12-12222-1-12222-1-12222222222-1-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-2000011000000000000221-211111-21111002000-1-100000-100
χ2922222-12-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-122200000000-111111-1-1-111112-2-222-1-1-2-2000011000000000000-2-2-12-1-1-1-11-211110020001100000-100
χ3022222-12-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-122200000000-111111-1-1-11111-2-2222-1-1-2-20000-1-1000000000000221-2-1-1111211-1-100-2000-1-100000100
χ3122222-12-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-200000000-111111-1-1-1111122-2-2-2112200001100000000000022-1211-1-1-1-2-1-11100-2000-1-100000100
χ3222222-12-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-200000000-111111-1-1-11111-222-2-211220000-1-1000000000000-2-21-21111-12-1-1-1-10020001100000-100
χ332222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1020-1-122-1-1222200-1-1-1-1-1-1-1-1-1-1220000-1-10020-1-1000200-1-100-1-1000000
χ342222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-122-2-2-2-21111-12-1-122-1-1-1-1-1-1-1020-1-122-1-1-2-2-2-2001111111111-2-20000-1-10020-1-1000-200110011000000
χ352222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-22222-1-1-1-1-12-1-122-1-1-1-1-1-1-10-2011-2-211222200-1-1-1-1-1-1-1-1-1-1-2-200001100-2011000-200110011000000
χ362222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-2011-2-211-2-2-2-20011111111112200001100-2011000200-1-100-1-1000000
χ372222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-12222-2-2-1-1-1-1-1-211-2-2-1-1-111110-20-1-1221122-2-20011-1-1-1-11111-2-20000-1-100-20110002001100-1-1000000
χ382222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-122-2-2221111-1-211-2-2-1-1-111110-20-1-12211-2-22200-1-11111-1-1-1-1220000-1-100-2011000-200-1-10011000000
χ392222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-222-2-2-1-1-1-1-1-211-2-2-1-1-1111102011-2-2-1-122-2-20011-1-1-1-11111220000110020-1-1000-200-1-10011000000
χ402222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-2-2-2221111-1-211-2-2-1-1-1111102011-2-2-1-1-2-22200-1-11111-1-1-1-1-2-20000110020-1-10002001100-1-1000000
χ4122-2-22222-2-22-2-2-2-2202220000-2-200002-22-2-2-22002-20022-2-22000002-2-200000000000002-200000022-2-20000002i−2i0000000000000000002i−2i002i−2i0000
χ4222-2-22222-2-22-2-2-2-2202220000-2-200002-22-2-2-22002-20022-2-22000002-2-200000000000002-200000022-2-2000000−2i2i000000000000000000−2i2i00−2i2i0000
χ4322-2-22222-2-22-2-2-2-2202220000-2-200002-22-2-2-2200-2200-2-2222000002-2-20000000000000-22000000-2-2220000002i−2i0000000000000000002i−2i00−2i2i0000
χ4422-2-22222-2-22-2-2-2-2202220000-2-200002-22-2-2-2200-2200-2-2222000002-2-20000000000000-22000000-2-222000000−2i2i000000000000000000−2i2i002i−2i0000
χ452-22-2222-222-2-22-2-2-2022200002-20000-2-2-222-2-22-2002i−2i0000200000-22-200000002-22-200002i−2i002i−2i00002i2i−2i−2i2i−2i00002-20000000000002i−2i0000000000
χ462-22-2222-222-2-22-2-2-2022200002-20000-2-2-222-2-22-200−2i2i0000200000-22-200000002-22-20000−2i2i00−2i2i0000−2i−2i2i2i−2i2i00002-2000000000000−2i2i0000000000
χ472-22-2222-222-2-22-2-2-2022200002-20000-2-2-222-2-2-22002i−2i0000200000-22-20000000-22-2200002i−2i002i−2i00002i2i−2i−2i−2i2i0000-22000000000000−2i2i0000000000
χ482-22-2222-222-2-22-2-2-2022200002-20000-2-2-222-2-2-2200−2i2i0000200000-22-20000000-22-220000−2i2i00−2i2i0000−2i−2i2i2i2i−2i0000-220000000000002i−2i0000000000
χ492-22-2-122-22-1-212-2-210-1-12−i3i300-11−i3−i3i3i311-22-1-212-2002i−2i3−33−3-10−i3i3001-11−i3−i3i3i3000-112-2−i3i3002i−2i00−ii3−33−3−i−iii2i−2i0000-110000−i3i3000000−ii003−3000000
χ502-22-2-122-22-1-212-2-210-1-12−i3i300-11−i3−i3i3i311-22-1-212-200−2i2i−33−33-10−i3i3001-11−i3−i3i3i3000-112-2−i3i300−2i2i00i−i−33−33ii−i−i−2i2i0000-110000−i3i3000000i−i00−33000000
χ512-22-2-122-22-1-212-2-210-1-12−i3i300-11−i3−i3i3i311-22-1-21-22002i−2i3−33−3-10−i3i3001-11−i3−i3i3i30001-1-22i3−i3002i−2i00−ii3−33−3−i−iii−2i2i00001-10000i3−i3000000i−i00−33000000
χ522-22-2-122-22-1-212-2-210-1-12−i3i300-11−i3−i3i3i311-22-1-21-2200−2i2i−33−33-10−i3i3001-11−i3−i3i3i30001-1-22i3−i300−2i2i00i−i−33−33ii−i−i2i−2i00001-10000i3−i3000000−ii003−3000000
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χ542-22-2-122-22-1-212-2-210-1-12i3−i300-11i3i3−i3−i311-22-1-212-200−2i2i3−33−3-10i3−i3001-11i3i3−i3−i3000-112-2i3−i300−2i2i00i−i3−33−3ii−i−i−2i2i0000-110000i3−i3000000i−i003−3000000
χ552-22-2-122-22-1-212-2-210-1-12i3−i300-11i3i3−i3−i311-22-1-21-22002i−2i−33−33-10i3−i3001-11i3i3−i3−i30001-1-22−i3i3002i−2i00−ii−33−33−i−iii−2i2i00001-10000−i3i3000000i−i003−3000000
χ562-22-2-122-22-1-212-2-210-1-12i3−i300-11i3i3−i3−i311-22-1-21-2200−2i2i3−33−3-10i3−i3001-11i3i3−i3−i30001-1-22−i3i300−2i2i00i−i3−33−3ii−i−i2i−2i00001-10000−i3i3000000−ii00−33000000
χ5744444-2-2-2-24-24-2-2-244-2-2144-2-2-2-2-2-2-2-2-2-211-21-200000000001-2-2-21111111114040000000000-2-200000000000000-2-200110-200110000000000000000
χ5844444-2-2-2-24-24-2-2-244-2-2144-2-2-2-2-2-2-2-2-2-211-21-200000000001-2-2-2111111111-40-4000000000022000000000000002200-1-10200-1-10000000000000000
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χ1178-8-88-4-4-44444-44-4-440222004i3−4i3-22−2i32i32i3−2i3-22-2-2-22-20000000000-1000−2i32i311-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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