Finite Group Databasebeta

← Group #13171903

Character table — Group #13171903

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666623336666666666666666644444412121212366666666666622466661212121212121212121212121212121212124444666666121212121212244412121212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-11-111-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-111-1-111-1-11111-1-11111111111-1-1-1-1-11-1-11111-1-1111-11-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-11111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11-11-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-111-11-1-111-1-11111-1-1-11
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
χ91111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-111-1-11111-1-1111-1-1-1
χ101111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111-1-1-1-1-1-1-1111
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11-1-1-1-111-1-11-111
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-111-1-11-1-1-1111111-11-1-1
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-1-11111-1-1111111-1-1-1-111111111-11-1-111-1-111-1-1-1-11-1-1-11111-1-1-11-11
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-111111-11-1
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-111-111-1
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111-111-1-111-1-11111-1-11111-1-1-1-11-1-11
χ17222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-12222002222-1222-1-1-1-1-1-1-1-1-1022002200-1-1-1-10022-1-1-1-1-1-1-1-100000-100-1-12-100-1-1202000000000-1-100
χ18222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-12222002222-1222-1-1-1-1-1-1-1-1-10-2-200-2-200-1-1-1-10022-1-1-1-1-1-1-1-10000010011-210011-20-20000000001100
χ19222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1022002200111100-2-21111111100000-100-1-12-100-1-1-20-20000000001100
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χ23222222-12-12-1222-12-2-12-1-2-211-1-1111122-1-12-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-1111102-200220011-1-100221111-1-1-1-100000-100-1-1-210011-2020000000001-100
χ24222222-12-12-1222-12-2-12-1-2-211-1-1111122-1-12-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-111110-2200-2-20011-1-100221111-1-1-1-100000100112-100-1-120-2000000000-1100
χ2522222-12-12222-1-12222-1-12222222222-1-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1220000-1-100000000000022-12-1-1-1-1-12-1-1-1-1000200-1-1000000-10
χ2622222-12-12222-1-12222-1-12222222222-1-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-22211220000-1-1000000000000-2-2-1-2-1-1111-2-1-111000-2001100000010
χ2722222-12-12222-1-12222-1-12222222222-1-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-1-1-2-2000011000000000000-2-21211-1-1-1211-1-1000-2001100000010
χ2822222-12-12222-1-12222-1-12222222222-1-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-2000011000000000000221-211111-21111000200-1-1000000-10
χ2922222-12-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-120000220000-111111-1-1-11111-22-2-2-2-1-1220000-1-1000000000000221211-1-11-2-1-111000-200-1-100000010
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χ3222222-12-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-120000-2-20000-111111-1-1-111112-222211-2-200001100000000000022-1-2-1-111-1211-1-1000-200-1-100000010
χ332222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1200-1-100-1-1222222-1-1-1-1-1-1-1-1-1-1220020-1-10000-1-1000200-1-100-1-1000000
χ342222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-12222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-1-2001100112222-2-2-1-1-1-1-1-1-1-1-1-1-2-200-2011000011000-200110011000000
χ352222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-2221111-12-1-122-1-1-1-1-1-1-1200-1-100-1-1-2-2-2-2221111111111-2-20020-1-10000-1-1000-200110011000000
χ362222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-1-200110011-2-2-2-2-2-211111111112200-2011000011000200-1-100-1-1000000
χ372222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-122-2-222-1-1-1-1-1-211-2-2-1-1-11111-2001100-1-122-2-22211-1-1-1-11111-2-200-20110000-1-1000200-1-10011000000
χ382222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-122-2-2-2-2-1-1-1-1-1-211-2-2-1-1-11111200-1-1001122-2-2-2-211-1-1-1-11111220020-1-1000011000-2001100-1-1000000
χ392222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-222221111-1-211-2-2-1-1-11111-2001100-1-1-2-22222-1-11111-1-1-1-12200-20110000-1-1000-2001100-1-1000000
χ402222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-222-2-21111-1-211-2-2-1-1-11111200-1-10011-2-222-2-2-1-11111-1-1-1-1-2-20020-1-1000011000200-1-10011000000
χ4122-2-22222-2-22-2-2-2-2202220000-2-200002-22-2-2-222-2000022-2-22000002-2-200000000000002-200000022-2-20000002i−2i0000000000000000002i−2i002i−2i0000
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χ482-22-2222-222-2-22-2-2-2022200002-20000-2-2-222-2-200−2i2i-220000200000-22-200000000000-2200−2i2i-22−2i2i0000−2i−2i2i2i2i−2i0000000000-2200000000002i−2i000000
χ492-22-2-122-22-1-212-2-210-1-12−i3i300-11−i3−i3i3i311-22-1-21002i−2i2-23−33−3-10−i3i3001-11−i3−i3i3i3000−i3i300-11002i−2i2-2−ii3−33−3−i−iii2i−2i0000−i3i30000-110000003−300−ii000000
χ502-22-2-122-22-1-212-2-210-1-12−i3i300-11−i3−i3i3i311-22-1-21002i−2i-223−33−3-10−i3i3001-11−i3−i3i3i3000i3−i3001-1002i−2i-22−ii3−33−3−i−iii−2i2i0000i3−i300001-1000000−3300i−i000000
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χ552-22-2-122-22-1-212-2-210-1-12i3−i300-11i3i3−i3−i311-22-1-2100−2i2i2-23−33−3-10i3−i3001-11i3i3−i3−i3000i3−i300-1100−2i2i2-2i−i3−33−3ii−i−i−2i2i0000i3−i30000-110000003−300i−i000000
χ562-22-2-122-22-1-212-2-210-1-12i3−i300-11i3i3−i3−i311-22-1-2100−2i2i-223−33−3-10i3−i3001-11i3i3−i3−i3000−i3i3001-100−2i2i-22i−i3−33−3ii−i−i2i−2i0000−i3i300001-1000000−3300−ii000000
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Here i is the imaginary unit (i² = −1).