Finite Group Databasebeta

← Group #13172115

Character table — Group #13172115

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order12222233366666666633366666666666666666664412121212366666666666244441212121212121212121212121212121212122222446666121212121212121212122246666661212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-11-1-1111111-1-111111111-1-1-1-1-1-111111-1-1111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111-1
χ31111111111111111111111111111111111111111111111111111111111-1111-111111111111111111111-1-111-1-1-1-1-111-1-1-11111-1-1-111-1-1-1-111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-11-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-11-1-1-1-1-1-1-1-111111
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
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1-1-1-111-1-1-1-11-1-111-1-11111-11-1
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-11-1-11-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-111-11111-1-111-1-1-1-1-111
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-111111-1-111-1-1-1-1-11111-1-11-11
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-11111-1-1111-1-11111-1-1-1-1111-1-1
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111111111-1-11111-11-1-1-1-111-1-11-1-11111-1-1-1-1-1-11-11
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-11111-1-1-1-1-11111111-1-1
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-111111-1-1-11111-1-111-1-111-11-1
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-11-11111-1-111-1-11-1-111-1-111-1-1-111
χ1722222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1220222200000022000000000022002-1-1-1-1-1-12-1-1-1-1-1-102000-1-1-1-10000000
χ1822222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-12-20-22-2-2000000-2-20000000000-2-2002-1-1-1-1112-1-111110-200011110000000
χ1922222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-2202-222000000220000000000-2-200-21111-1-1-211-1-1-1-10-200011110000000
χ2022222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2000000-2-200000000002200-2111111-211111102000-1-1-1-10000000
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χ222222222-12-12222-122-1-12-122-1-122-1-12-1-1-1-1-1-122-1-1222222-122-1-1-1-1-1-1-1-1-1-2020-200-1-1-1-12200-1-1-1-1-1-1-1-10000001-211-2001110000-20-20000000000110
χ232222222-12-12222-122-1-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-120-202001111-2-20011111111000000-12-1-1200-1-1-10000-20-20000000000110
χ242222222-12-12222-122-1-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-20-20-2001111-2-200111111110000001-211-20011100002020000000000-1-10
χ25222222-1222-12222-1-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-122-1-1-1-1-1-1-102220-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200220000022000-1-1-1-1000-1-10000-1-100000
χ26222222-1222-12222-1-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-122-1-1-1-1-1-1-10-22-20112222-1-111-1-1-1-1-1-1-1-1-2-200-2-200000-2-200011110001100001100000
χ27222222-1222-12222-1-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-21111-1-1-122-1-1-1-1-1-1-102-220-1-1-2-2-2-211-1-111111111-2-200-2-20000022000-1-1-1-10001100001100000
χ28222222-1222-12222-1-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-21111-1-1-122-1-1-1-1-1-1-10-2-2-2011-2-2-2-211111111111122002200000-2-20001111000-1-10000-1-100000
χ292222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111220-2-222000000-2-2000000000022002-1-1-11-11-211-1-1110-2000-1-1110000000
χ302222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-111112-202-2-2-2000000220000000000-2-2002-1-1-111-1-21111-1-10200011-1-10000000
χ312222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111-220-2222000000-2-20000000000-2-200-2111-1-112-1-1-1-1110200011-1-10000000
χ322222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111-2-2022-2-20000002200000000002200-2111-11-12-1-111-1-10-2000-1-1110000000
χ332222-2-22-12-12222-122-1-12-1-2-211-2-2-1-121111-1-122-1-1222222-1-2-211-1-1-1111120-20-200-1-111-2-200-1-1-1-11111000000-12-1-1-2001110000-20200000000001-10
χ342222-2-22-12-12222-122-1-12-1-2-211-2-2-1-121111-1-122-1-1222222-1-2-211-1-1-11111-20-20200-1-111-2-200-1-1-1-111110000001-211200-1-1-1000020-20000000000-110
χ352222-2-22-12-12222-122-1-12-1-2-211-2-2-1-121111-1-122-1-1-2-2-2-2-2-2-1-2-211-1-1-111112020-20011-1-122001111-1-1-1-1000000-12-1-1-200111000020-20000000000-110
χ362222-2-22-12-12222-122-1-12-1-2-211-2-2-1-121111-1-122-1-1-2-2-2-2-2-2-1-2-211-1-1-11111-202020011-1-122001111-1-1-1-10000001-211200-1-1-10000-20200000000001-10
χ372222-2-2-1222-12222-1-12-1-1211-2-2-2-2-1-1-1111122-1-12-122-1-1-1-1-111-2-2-1-1-1111102-2-20-1-122-2-21111-1-1-1-11111-2-20022000002-2000-1-111000110000-1-100000
χ382222-2-2-1222-12222-1-12-1-1211-2-2-2-2-1-1-1111122-1-12-122-1-1-1-1-111-2-2-1-1-111110-2-2201122-2-211-1-1-1-1-1-111112200-2-200000-2200011-1-1000-1-100001100000
χ392222-2-2-1222-12222-1-12-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-21111-111-2-2-1-1-11111022-20-1-1-2-222-1-1111111-1-1-1-12200-2-2000002-2000-1-111000-1-100001100000
χ402222-2-2-1222-12222-1-12-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-21111-111-2-2-1-1-111110-222011-2-222-1-1-1-11111-1-1-1-1-2-2002200000-2200011-1-1000110000-1-100000
χ4122-2-200222222-2-2-2-2-2-22220000002-2-200002-22-2-2-22i−2i2i2i−2i−2i200002-2-2000000000002i−2i0000002i2i−2i−2i0000002-20000000000000000000002-200002i−2i000
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χ4322-2-200222222-2-2-2-2-2-22220000002-2-200002-22-2-2-2−2i2i−2i−2i2i2i200002-2-200000000000−2i2i000000−2i−2i2i2i0000002-20000000000000000000002-20000−2i2i000
χ4422-2-200222222-2-2-2-2-2-22220000002-2-200002-22-2-2-2−2i2i−2i−2i2i2i200002-2-200000000000−2i2i000000−2i−2i2i2i000000-22000000000000000000000-2200002i−2i000
χ452-2-222-2222-2-2-22-2-22-222222-22-22-2-22222-2-2-2-2-2-22-200000022-22-2-22-222-2-2000000000000000000000002-2002-2000000000000000002-200002-200000
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χ482-2-222-2-122-21-22-2-2-112-1-12-112-22-21-1-1-1-111-2-21121003−33−3-1-112-21-11-1-11100000−3300003−3−333−33−333−3−3-2200-220000000000−33−330001-100001-100000
χ492-2-222-2-122-21-22-2-2-112-1-12-112-22-21-1-1-1-111-2-2112100−33−33-1-112-21-11-1-111000003−30000−333−3−33−33−3−333-2200-2200000000003−33−30001-100001-100000
χ502-2-222-2-122-21-22-2-2-112-1-12-112-22-21-1-1-1-111-2-2112100−33−33-1-112-21-11-1-11100000−330000−33−33−33−33−3−3332-2002-20000000000−33−33000-110000-1100000
χ512-2-22-22222-2-2-22-2-22-22222-22-22-22-222-2-222-2-2-2-22-20000002-22-22-22-2-2-222000000000000000000000002-200-22000000000000000002-20000-2200000
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χ574444444-2-2-24-2-2-2-244-2-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-20000001-2-211111111140004000000000000000000000000-2-211-200-21100000000000000000000
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χ1078888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222-2-2-2-2222222000000-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000
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χ1148-88-800-4-4-44444-4-44-44222000000-2-2-26-6-66-22-22-22000000-1000011-1-333-300000000000000000000000000000000000000000000000000000000000
χ1158-88-800-4-4-44444-4-44-44222000000-2-2-2-666-6-22-22-22000000-1000011-13-3-3300000000000000000000000000000000000000000000000000000000000
χ1168-8-888-8-4-4-4444-444-44-4222-44-44-44-22222-2-2-2-2-2-22-2000000-12-22-21-11-1-11100000000000000000000000000000000000000000000000000000000000
χ1178-8-88-88-4-4-4444-444-44-42224-44-44-4-222-2-222-2-2-2-22-2000000-1-22-221-1111-1-100000000000000000000000000000000000000000000000000000000000

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