Finite Group Databasebeta

← Group #13172099

Character table — Group #13172099

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order12222233366666666633366666666666666666664412121212366666666666224446612121212121212121212121212121212224444666666612121212121212444661212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-111-111111111111111111111-1-111-11-111-1-11-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-111-11-1-1111111-1-111111111-1-1-1-1-1-11-11-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-11-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-111-111-1-111-1-1-11111-1-1-1-111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1111-1-1
χ101111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1111-1-1-1-11-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-111-1-1-111-1-111-111-1-111-1-111-1-1-111
χ111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-11-11-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11-11-1-1111-1-111-1-11-1111-1-1-1-111-1-11-11
χ121111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-11-111-1-111-1-111-11-1
χ131111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111111111-1-11111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-111
χ141111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-11-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-111-1-1-111-1-1111-1111-1-1-1-111111-1-1
χ151111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-11-1-1111-1-111-1-1-111-1-111-1-11111-11-1
χ161111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-11
χ1722222222-12-1-122222-1-12-12222-1-1-1-1-1-1-1-122-1-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-120220-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220022020-1-100200-1-100000-1-1-1-1000000000
χ1822222222-12-1-122222-1-12-12222-1-1-1-1-1-1-1-122-1-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-202-20112222-1-111-1-1-1-1-1-1-1-1-2-200-2-20-201100-20011000001111000000000
χ1922222222-12-1-122222-1-12-12222-1-1-1-1-1-1-1-122-1-12-1-1-2-21111-122-1-1-1-1-1-1-1-1-120-220-1-1-2-2-2-211-1-111111111-2-200-2-2020-1-100200-1-1000001111000000000
χ2022222222-12-1-122222-1-12-12222-1-1-1-1-1-1-1-122-1-12-1-1-2-21111-122-1-1-1-1-1-1-1-1-1-20-2-2011-2-2-2-21111111111112200220-201100-2001100000-1-1-1-1000000000
χ212222222-12-122-1222-122-1-122-1-122222222-1-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1220222200000022000000000022002-1-1-1-1-1-1-1-12-1-1-1-10020000-1-1-1-100000
χ222222222-12-122-1222-122-1-122-1-122222222-1-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-12-202-222000000220000000000-2-200-2-11-1-111-11-2-1-11100-20000111100000
χ232222222-12-122-1222-122-1-122-1-122222222-1-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-220-22-2-2000000-2-20000000000-2-20021-111-1-11-1211-1-100-20000111100000
χ242222222-12-122-1222-122-1-122-1-122222222-1-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2000000-2-200000000002200-211111111-211110020000-1-1-1-100000
χ25222222-1222222-1-1-122-1-12-1-12222-1-1-1-1-1-1-1-122-12-1222222-1-1-122-1-1-1-1-1-1-10220200-1-1-1-12200-1-1-1-1-1-1-1-1000000-10200-1-102-100-1-12200000000000-1-10
χ26222222-1222222-1-1-122-1-12-1-12222-1-1-1-1-1-1-1-122-12-1222222-1-1-122-1-1-1-1-1-1-10-220-200-1-1-1-12200-1-1-1-1-1-1-1-100000010-200110-210011-2-200000000000110
χ27222222-1222222-1-1-122-1-12-1-12222-1-1-1-1-1-1-1-122-12-1-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-102-202001111-2-20011111111000000-10200-1-102-100-1-1-2-200000000000110
χ28222222-1222222-1-1-122-1-12-1-12222-1-1-1-1-1-1-1-122-12-1-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-10-2-20-2001111-2-2001111111100000010-200110-2100112200000000000-1-10
χ292222-2-222-12-1-122222-1-12-1-2-2-2-211-1-1111122-1-12-1-122-1-1-1-1-1-2-211-1-1-1111120-2-20-1-122-2-21111-1-1-1-11111-2-20022020-1-100-200110000011-1-1000000000
χ302222-2-222-12-1-122222-1-12-1-2-2-2-211-1-1111122-1-12-1-122-1-1-1-1-1-2-211-1-1-11111-20-2201122-2-211-1-1-1-1-1-111112200-2-20-201100200-1-100000-1-111000000000
χ312222-2-222-12-1-122222-1-12-1-2-2-2-211-1-1111122-1-12-1-1-2-21111-1-2-211-1-1-11111202-20-1-1-2-222-1-1111111-1-1-1-12200-2-2020-1-100-2001100000-1-111000000000
χ322222-2-222-12-1-122222-1-12-1-2-2-2-211-1-1111122-1-12-1-1-2-21111-1-2-211-1-1-11111-2022011-2-222-1-1-1-11111-1-1-1-1-2-200220-201100200-1-10000011-1-1000000000
χ332222-2-22-12-122-1222-122-1-1-2-211-2-222-2-2-2-2-1-1-1-1-1-12000000-11111-1-1-11111220-2-222000000-2-2000000000022002-1-1-1-1-1-111-2111100-20000-1-11100000
χ342222-2-22-12-122-1222-122-1-1-2-211-2-222-2-2-2-2-1-1-1-1-1-12000000-11111-1-1-111112-20-2222000000-2-20000000000-2-200-2-11-1-1111-1211-1-1002000011-1-100000
χ352222-2-22-12-122-1222-122-1-1-2-211-2-222-2-2-2-2-1-1-1-1-1-12000000-11111-1-1-11111-2202-2-2-2000000220000000000-2-20021-111-1-1-11-2-1-111002000011-1-100000
χ362222-2-22-12-122-1222-122-1-1-2-211-2-222-2-2-2-2-1-1-1-1-1-12000000-11111-1-1-11111-2-2022-2-20000002200000000002200-2111111-1-12-1-1-1-100-20000-1-11100000
χ372222-2-2-1222222-1-1-122-1-1211-2-2-2-2-1-11111-1-122-12-1222222-111-2-2-1-1-1111102-20-200-1-111-2-200-1-1-1-11111000000-10200-1-10-2100112-200000000000-110
χ382222-2-2-1222222-1-1-122-1-1211-2-2-2-2-1-11111-1-122-12-1222222-111-2-2-1-1-111110-2-20200-1-111-2-200-1-1-1-1111100000010-2001102-100-1-1-22000000000001-10
χ392222-2-2-1222222-1-1-122-1-1211-2-2-2-2-1-11111-1-122-12-1-2-2-2-2-2-2-111-2-2-1-1-111110220-20011-1-122001111-1-1-1-1000000-10200-1-10-210011-22000000000001-10
χ402222-2-2-1222222-1-1-122-1-1211-2-2-2-2-1-11111-1-122-12-1-2-2-2-2-2-2-111-2-2-1-1-111110-22020011-1-122001111-1-1-1-100000010-2001102-100-1-12-200000000000-110
χ412-22-200222-22-2-22-2-22-22220000002-200002-22-2-2-2-22i−2i2i2i−2i−2i200002-2-2000000000002i−2i0000002i2i−2i−2i0000002-2000000000000000000000002-2002i−2i000
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χ442-22-200222-22-2-22-2-22-22220000002-200002-22-2-2-2-2−2i2i−2i−2i2i2i200002-2-200000000000−2i2i000000−2i−2i2i2i000000-2200000000000000000000000-22002i−2i000
χ452-2-222-2222-2-2-22-22-2-222222-22-22-2-2-222-2-2-2-2-2-222200000022-22-2-22-222-2-2000000000000000000000002-2002-2000000000000000002-22-2000000000
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χ472-2-222-222-1-2112-22-2-2-1-12-12-22-2-1111-1-111-2-2112-1-100−i3i3−i3i3-12-2-111-11-1-11100000−i3i30000−i3i3−i3i3−i3i3−i3i3−i3−i3i3i32-2002-2000−i3i300000−i3i300000-11-11000000000
χ482-2-222-222-1-2112-22-2-2-1-12-12-22-2-1111-1-111-2-2112-1-100−i3i3−i3i3-12-2-111-11-1-11100000i3−i30000−i3i3i3−i3−i3i3−i3i3−i3−i3i3i3-2200-22000i3−i300000i3−i3000001-11-1000000000
χ492-2-222-222-1-2112-22-2-2-1-12-12-22-2-1111-1-111-2-2112-1-100i3−i3i3−i3-12-2-111-11-1-11100000−i3i30000i3−i3−i3i3i3−i3i3−i3i3i3−i3−i3-2200-22000−i3i300000−i3i3000001-11-1000000000
χ502-2-222-222-1-2112-22-2-2-1-12-12-22-2-1111-1-111-2-2112-1-100i3−i3i3−i3-12-2-111-11-1-11100000i3−i30000i3−i3i3−i3i3−i3i3−i3i3i3−i3−i32-2002-2000i3−i300000i3−i300000-11-11000000000
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χ552-2-22-2222-1-2112-22-2-2-1-12-1-22-221-11111-1-1-2-2112-1-100i3−i3i3−i3-1-221-11-1111-1-100000−i3i30000−i3i3i3−i3i3−i3i3−i3−i3−i3i3i32-200-22000−i3i300000i3−i300000-111-1000000000
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χ1158-88-800-4-4-44-444-444-442220000002-2-666-62-22-2-2-2-2000000-10000-1113-3-3300000000000000000000000000000000000000000000000000000000000
χ1168-8-888-8-4-4-4444-44-444-4222-44-44-44-2-222-2-2-2-2-2-2222000000-12-22-21-11-1-11100000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).