Finite Group Databasebeta

← Group #13172857

Character table — Group #13172857

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order12222233366666666633366666666666666666662266663666666666662244466666666666666121212122244446666121212121212121212122446666121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-1-1-111111
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
χ91111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-11-1-1-111-1-11-1111-1-111-1-1-1-11-11
χ101111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-11-1-11-1-111-1-11111-1-1-1-1-1-11111-1-1111111-1-1-11-1-1-1-111-1-11-1-111-1-111111-1-1
χ111111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1111-11111-1-1-11-1-1-11111-1-111-11-1
χ121111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1111-1-11111-111-1-1-1-111-1-1-111
χ131111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-11-111-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-11-1-1-111-1-111-111-1-1-1-11111-11-1
χ141111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1111-1-111-1-1-1-11111-1-1111111-1-11111-1-1-11-1-1-1-111-11-1-1-11111-1-1-1-1-111
χ151111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-111-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1111-11111-1-1-1-11-1-111-1-111-1-11-11
χ161111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-11-1111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1111-1-1111-1111-1-111-1-1111-1-1
χ1722222222-122-1-1-12222-1-122222-1-1-1-1-12222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1022220000000000000022222200002-1-1-12-1-1-1-1-1-1-1-1-1200-1-1-1-1000000000
χ1822222222-122-1-1-12222-1-122222-1-1-1-1-12222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1022-2-200000000000000-2-2-2-2-2-200002-1-1-12-111-1-11111-2001111000000000
χ1922222222-122-1-1-12222-1-122222-1-1-1-1-12222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10-2-222000000000000002222-2-20000-2111-21-1-111-1-1-1-1-2001111000000000
χ2022222222-122-1-1-12222-1-122222-1-1-1-1-12222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200000000000000-2-2-2-2220000-2111-2111111111200-1-1-1-1000000000
χ212222222-122-1222-1-1222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1222222-122-1-1-1-1-1-1-1-1-12220022-1-1-1-1-1-1-1-1-1-1-1-10000000000-12-1-1-1200-1-100000220000000000-1-10
χ222222222-122-1222-1-1222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1222222-122-1-1-1-1-1-1-1-1-12-2-20022-1-1-1-1-1-1-1-1-1-1-1-100000000001-2111-2001100000-2-20000000000110
χ232222222-122-1222-1-1222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-22200-2-21111111111110000000000-12-1-1-1200-1-100000-2-20000000000110
χ242222222-122-1222-1-1222-1-122-1-1222-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-200-2-211111111111100000000001-2111-2001100000220000000000-1-10
χ25222222-122-1222222-1-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-120022-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022220000002200-1-1-1-10000000-1-1-1-100000
χ26222222-122-1222222-1-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1200-2-2-1-12222-1-1-1-1-1-1-1-1111100-2-2-2-2000000-2-20011110000000111100000
χ27222222-122-1222222-1-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-12-2-21111-1-1-122-1-1-1-1-1-1-1-2002211-2-2-2-211111111-1-1-1-100-2-2-2-20000002200-1-1-1-10000000111100000
χ28222222-122-1222222-1-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-12-2-21111-1-1-122-1-1-1-1-1-1-1-200-2-211-2-2-2-2111111111111002222000000-2-20011110000000-1-1-1-100000
χ292222-2-222-122-1-1-12222-1-12-2-2-2-211-1-1-1222-2-2-2-2-1-1-1000000-11111-1-1-1111102-22-20000000000000022-2-2-2-200002-1-1-1-21-1111-1-111200-1-111000000000
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χ312222-2-222-122-1-1-12222-1-12-2-2-2-211-1-1-1222-2-2-2-2-1-1-1000000-11111-1-1-111110-222-20000000000000022-2-2220000-21112-1-11-1-1-1-111-20011-1-1000000000
χ322222-2-222-122-1-1-12222-1-12-2-2-2-211-1-1-1222-2-2-2-2-1-1-1000000-11111-1-1-111110-22-2200000000000000-2-222-2-20000-21112-11-1-1-111-1-1200-1-111000000000
χ332222-2-22-122-1222-1-1222-1-1-2-211-2-22-1-1-1-1-1111122-1222222-1-2-211-1-1-11111-22-200-2-2-1-111-1-1-1-111110000000000-12-1-11-2001100000-220000000000-110
χ342222-2-22-122-1222-1-1222-1-1-2-211-2-22-1-1-1-1-1111122-1222222-1-2-211-1-1-11111-2-2200-2-2-1-111-1-1-1-1111100000000001-211-1200-1-1000002-200000000001-10
χ352222-2-22-122-1222-1-1222-1-1-2-211-2-22-1-1-1-1-1111122-1-2-2-2-2-2-2-1-2-211-1-1-1111122-2002211-1-11111-1-1-1-10000000000-12-1-11-20011000002-200000000001-10
χ362222-2-22-122-1222-1-1222-1-1-2-211-2-22-1-1-1-1-1111122-1-2-2-2-2-2-2-1-2-211-1-1-111112-22002211-1-11111-1-1-1-100000000001-211-1200-1-100000-220000000000-110
χ372222-2-2-122-1222222-1-1-12-111-2-2-2-2-122-1-1-11111-1-1222-1-1-1-1-111-2-2-1-1-11111-2002-21122-2-2-1-1-1-11111-1-1110022-2-20000002-200-1-1110000000-1-11100000
χ382222-2-2-122-1222222-1-1-12-111-2-2-2-2-122-1-1-11111-1-1222-1-1-1-1-111-2-2-1-1-11111-200-221122-2-2-1-1-1-1111111-1-100-2-222000000-220011-1-1000000011-1-100000
χ392222-2-2-122-1222222-1-1-12-111-2-2-2-2-122-1-1-11111-1-12-2-21111-111-2-2-1-1-111112002-2-1-1-2-2221111-1-1-1-1-1-11100-2-2220000002-200-1-111000000011-1-100000
χ402222-2-2-122-1222222-1-1-12-111-2-2-2-2-122-1-1-11111-1-12-2-21111-111-2-2-1-1-11111200-22-1-1-2-2221111-1-1-1-111-1-10022-2-2000000-220011-1-10000000-1-11100000
χ4122-2-22-2222222-2-2-2-2-2-22222-22-22-22-2-22-2-222-2-2-2-2200000022-22-22-2-222-2-200000000000000000000000002i−2i2i−2i0000000000000000000002i−2i2i−2i00000
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χ4422-2-22-2-122-122-2-2-2-211-12-1-112-22-2-1-2-2-111-1-11111200−i3−i3i3i3-1-112-2-111-1-11100000−i3i30000−i3−i3i3i3−i3−i3i3i3−33−3300−2i2i−2i2i0000000000−33−330000000i−ii−i00000
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χ4722-2-2-22222222-2-2-2-2-2-2222-22-22-222-2-22-2-2-2-222-2-220000002-22-222-2-2-2-22200000000000000000000000002i−2i−2i2i0000000000000000000002i−2i−2i2i00000
χ4822-2-2-22222222-2-2-2-2-2-2222-22-22-222-2-22-2-2-2-222-2-220000002-22-222-2-2-2-2220000000000000000000000000−2i2i2i−2i000000000000000000000−2i2i2i−2i00000
χ4922-2-2-22-122-122-2-2-2-211-12-11-1-22-22-1-2-2-11111-1-111200−i3−i3i3i3-11-1-22-11111-1-100000i3−i30000−i3−i3i3i3i3i3−i3−i33−3−33002i−2i−2i2i00000000003−3−330000000−iii−i00000
χ5022-2-2-22-122-122-2-2-2-211-12-11-1-22-22-1-2-2-11111-1-111200−i3−i3i3i3-11-1-22-11111-1-100000i3−i30000−i3−i3i3i3i3i3−i3−i3−333−300−2i2i2i−2i0000000000−333−30000000i−i−ii00000
χ5122-2-2-22-122-122-2-2-2-211-12-11-1-22-22-1-2-2-11111-1-111200i3i3−i3−i3-11-1-22-11111-1-100000−i3i30000i3i3−i3−i3−i3−i3i3i33−3−3300−2i2i2i−2i00000000003−3−330000000i−i−ii00000
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χ552-2-2200222-2-2-22-22-22-2222000000-22-2-22-200002-2-2-22-22-2220000-22-200000000000-2200-22-22000000002-2000000000000000000000002-20000-22000
χ562-2-2200222-2-2-22-22-22-2222000000-22-2-22-200002-2-2-22-22-2220000-22-200000000000-2200-22-2200000000-2200000000000000000000000-2200002-2000
χ574444444-2-24-2-2-2-2-2-244-21-244-2-2-2-2-211-2-2-2-2-2-2-2-2-210000001-2-211111111104400000000000000000000000000-2-211-2-2001100000000000000000000
χ584444444-2-24-2-2-2-2-2-244-21-244-2-2-2-2-211-2-2-2-2-2-2-2-2-210000001-2-21111111110-4-40000000000000000000000000022-1-12200-1-100000000000000000000
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χ60444444-24-2-24-2-2-244-2-21-2-2-2-244-2-21-2-2-2-2-2-2-2-2-211-2000000111-2-21111111000-4-40000000000000022220000000000002200-1-1-1-10000000000000000
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χ7644-4-44-4-2-24-2-24-4-42222-2-21-22-224-4-2221-1-111-1-122-2002i32i3−2i3−2i31-22-221-1-111-1-1000002i3−2i30000−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000
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χ1024-4-4400-2-2422-44-4-22-22-2-210000002-22-11-13-3-33-2224-4-22-2210000-11-13-3-330000000-22001-11-1-333-30000000000000000000000000000000000000000
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χ1054-4-4400-2-2422-44-4-22-22-2-210000002-22-11-1-333-3-222-442-22-210000-11-1-333-300000002-200-11-11-333-30000000000000000000000000000000000000000
χ106888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-42222222222222000000-12222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1078888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222222-2-2-2-2222000000-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000
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χ10988-8-8-88-4-4-4-4-4-44444442224-44-44-42-2-22-2-2-2-222-2-22000000-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000000
χ1108-88-8008-4-4-8444-44-4-88-42-40000004-2244-400004-4-200000020000-2-22000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-48-44-844-4-884-42-4-4000000-24-444-40000-22400000020000-2-22000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-4-4-44444-44-44-4222000000-2-22-2-226-66-6-22-2000000-1000011-1-33-3300000000000000000000000000000000000000000000000000000000000
χ1138-88-800-4-4-44444-44-44-4222000000-2-22-2-22-66-66-22-2000000-1000011-13-33-300000000000000000000000000000000000000000000000000000000000
χ1148-8-88008-4-4-844-44-448-8-42-400000042-24-440000-44-200000020000-22-2000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8800-48-44-84-448-8-442-4-4000000-2-444-4400002-2400000020000-22-2000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8800-4-4-4444-44-44-44222000000-22-2-22-26-6-662-2-2000000-100001-11-333-300000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-4-4-4444-44-44-44222000000-22-2-22-2-666-62-2-2000000-100001-113-3-3300000000000000000000000000000000000000000000000000000000000

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