Finite Group Databasebeta

← Group #13172314

Character table — Group #13172314

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order122222333666666666333666666666666666666644121212123666666666662444412121212121212121212121212121212121222444466661212121212121212121224466121212121212226122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-11-1-1111111-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1
χ31111111111111111111111111111111111111111111111111111111111-1111-11111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111
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
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-111
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-11-1-11-1-1-111-1-1-1-1111111-1-1-1-111-1-1111111-11-1-1-1-1-1-111-11-111-1-1-1-11111-11-1
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1111111-1-11-1-1-1-111-1-111111-1-1
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1111-1111-1-111-1-1-1-11-11
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-111-1-11-1111-1-111-1-1111-1-1
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-111-1-1-1-1-1111111-1-1-1-11111-1-111111111-11-1-1-1-1-1-1111-1-1-1-111-1-111-1-11-11
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-1111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11-1111111-1-1-11-111-1-1-1-111-1-1-111
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-111111-1-111-111-1-11111-1-111-11-1
χ1722222222-1-1222-122-122-1-12222-1-12-1-1-1-1-1-1-1-122-1-1222222-122-1-1-1-1-1-1-1-1-12020200-1-1-1-12200-1-1-1-1-1-1-1-10000002-1-1-100-12-1-100002200000000000-1-10
χ1822222222-1-1222-122-122-1-12222-1-12-1-1-1-1-1-1-1-122-1-1222222-122-1-1-1-1-1-1-1-1-1-2020-200-1-1-1-12200-1-1-1-1-1-1-1-1000000-2111001-2110000-2-200000000000110
χ1922222222-1-1222-122-122-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-120-202001111-2-200111111110000002-1-1-100-12-1-10000-2-200000000000110
χ2022222222-1-1222-122-122-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-20-20-2001111-2-20011111111000000-2111001-21100002200000000000-1-10
χ212222222-12222-12-1-122-1-1222-1-122-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-122-1-1-1-1-1-1-102220-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000220000-1-1-1-1000-1-1-1-1000000000
χ222222222-12222-12-1-122-1-1222-1-122-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-122-1-1-1-1-1-1-10-22-20112222-1-111-1-1-1-1-1-1-1-1-2-2-2-2000000-2-2000011110001111000000000
χ232222222-12222-12-1-122-1-1222-1-122-1-1-1-1-1-1-122-1-12-1-2-21111-1-1-122-1-1-1-1-1-1-102-220-1-1-2-2-2-211-1-111111111-2-2-2-2000000220000-1-1-1-10001111000000000
χ242222222-12222-12-1-122-1-1222-1-122-1-1-1-1-1-1-122-1-12-1-2-21111-1-1-122-1-1-1-1-1-1-10-2-2-2011-2-2-2-21111111111112222000000-2-200001111000-1-1-1-1000000000
χ25222222-1222-1-122222-1-12-1-1-12222-1222222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-122022220000002200000000000022-12-1-1-1-12-1-1-1-1-1-1-10020000-1-1-1-100000
χ26222222-1222-1-122222-1-12-1-1-12222-1222222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-12-20-22-2-2000000-2-2000000000000-2-2-12-1-1112-1-1-1111100-20000111100000
χ27222222-1222-1-122222-1-12-1-1-12222-1222222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-2202-22200000022000000000000-2-21-211-1-1-2111-1-1-1-100-20000111100000
χ28222222-1222-1-122222-1-12-1-1-12222-1222222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2000000-2-2000000000000221-21111-211111110020000-1-1-1-100000
χ292222-2-222-1-1222-122-122-1-1-2-2-2-2112-1-11111-1-122-1-1222222-1-2-211-1-1-1111120-20-200-1-111-2-200-1-1-1-111110000002-1-1-1001-2110000-22000000000001-10
χ302222-2-222-1-1222-122-122-1-1-2-2-2-2112-1-11111-1-122-1-1222222-1-2-211-1-1-11111-20-20200-1-111-2-200-1-1-1-11111000000-211100-12-1-100002-200000000000-110
χ312222-2-222-1-1222-122-122-1-1-2-2-2-2112-1-11111-1-122-1-1-2-2-2-2-2-2-1-2-211-1-1-111112020-20011-1-122001111-1-1-1-10000002-1-1-1001-21100002-200000000000-110
χ322222-2-222-1-1222-122-122-1-1-2-2-2-2112-1-11111-1-122-1-1-2-2-2-2-2-2-1-2-211-1-1-11111-202020011-1-122001111-1-1-1-1000000-211100-12-1-10000-22000000000001-10
χ332222-2-22-12222-12-1-122-1-12-2-211-2-2-1-1-1111122-1-12-122-1-1-1-1-111-2-2-1-1-1111102-2-20-1-122-2-21111-1-1-1-11111-2-2220000002-20000-1-11100011-1-1000000000
χ342222-2-22-12222-12-1-122-1-12-2-211-2-2-1-1-1111122-1-12-122-1-1-1-1-111-2-2-1-1-111110-2-2201122-2-211-1-1-1-1-1-1111122-2-2000000-22000011-1-1000-1-111000000000
χ352222-2-22-12222-12-1-122-1-12-2-211-2-2-1-1-1111122-1-12-1-2-21111-111-2-2-1-1-11111022-20-1-1-2-222-1-1111111-1-1-1-122-2-20000002-20000-1-111000-1-111000000000
χ362222-2-22-12222-12-1-122-1-12-2-211-2-2-1-1-1111122-1-12-1-2-21111-111-2-2-1-1-111110-222011-2-222-1-1-1-11111-1-1-1-1-2-222000000-22000011-1-100011-1-1000000000
χ372222-2-2-1222-1-122222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111220-2-222000000-2-2000000000000-2-2-12-1-1-11-2111-1-1110020000-1-11100000
χ382222-2-2-1222-1-122222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-12000000-11111-1-1-111112-202-2-2-20000002200000000000022-12-1-11-1-211111-1-100-2000011-1-100000
χ392222-2-2-1222-1-122222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111-220-2222000000-2-2000000000000221-211-112-1-1-1-1-11100-2000011-1-100000
χ402222-2-2-1222-1-122222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111-2-2022-2-200000022000000000000-2-21-2111-12-1-1-111-1-10020000-1-11100000
χ4122-2-20022222-22-2-2-2-2-2222000000-22-200002-22-2-2-22i−2i2i2i−2i−2i200002-2-2000000000002i−2i0000002i2i−2i−2i000000002i−2i000000000000000000000002i−2i2-2000
χ4222-2-20022222-22-2-2-2-2-2222000000-22-200002-22-2-2-22i−2i2i2i−2i−2i200002-2-2000000000002i−2i0000002i2i−2i−2i00000000−2i2i00000000000000000000000−2i2i-22000
χ4322-2-20022222-22-2-2-2-2-2222000000-22-200002-22-2-2-2−2i2i−2i−2i2i2i200002-2-200000000000−2i2i000000−2i−2i2i2i000000002i−2i000000000000000000000002i−2i-22000
χ4422-2-20022222-22-2-2-2-2-2222000000-22-200002-22-2-2-2−2i2i−2i−2i2i2i200002-2-200000000000−2i2i000000−2i−2i2i2i00000000−2i2i00000000000000000000000−2i2i2-2000
χ452-2-222-2222-2-2-2-2-22-2222222-22-22-22-2222-2-2-2-2-2-22-200000022-22-2-22-222-2-2000000000000000000000002-22-200000000000000000002-22-2000000000
χ462-2-222-2222-2-2-2-2-22-2222222-22-22-22-2222-2-2-2-2-2-22-200000022-22-2-22-222-2-200000000000000000000000-22-220000000000000000000-22-22000000000
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χ482-2-222-22-12-2-2-21-2-1122-1-122-2-112-2-11-1-1-111-2-21121003−33−3-1-112-21-11-1-11100000−3300003−3−333−33−333−3−3-22-22000000000000−33−330001-11-1000000000
χ492-2-222-22-12-2-2-21-2-1122-1-122-2-112-2-11-1-1-111-2-2112100−33−33-1-112-21-11-1-111000003−30000−333−3−33−33−3−333-22-220000000000003−33−30001-11-1000000000
χ502-2-222-22-12-2-2-21-2-1122-1-122-2-112-2-11-1-1-111-2-2112100−33−33-1-112-21-11-1-11100000−330000−33−33−33−33−3−3332-22-2000000000000−33−33000-11-11000000000
χ512-2-22-22222-2-2-2-2-22-222222-22-22-222-22-2-222-2-2-2-22-20000002-22-22-22-2-2-222000000000000000000000002-2-2200000000000000000002-2-22000000000
χ522-2-22-22222-2-2-2-2-22-222222-22-22-222-22-2-222-2-2-2-22-20000002-22-22-22-2-2-22200000000000000000000000-222-20000000000000000000-222-2000000000
χ532-2-22-222-12-2-2-21-2-1122-1-12-221-1-22-11-111-1-1-2-21121003−33−3-11-1-221-1111-1-1000003−30000−33−333−33−3−3−333-222-20000000000003−3−330001-1-11000000000
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χ562-2-22-222-12-2-2-21-2-1122-1-12-221-1-22-11-111-1-1-2-2112100−33−33-11-1-221-1111-1-100000−3300003−33−3−33−3333−3−3-222-2000000000000−333−30001-1-11000000000
χ574444444-2-2-244-2-2-2-2-24-21-244-2-2-2-2-2111111-2-2-2-2-2144-2-2-2-21-2-2-2-211111110040000-2-2-2-2-2-20011111111000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).