Finite Group Databasebeta

← Group #13171924

Character table — Group #13171924

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order122222333666666666333666666666666666666622666636666666666622444666666666666661212121244444466661212121212121212121244412121212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111-1-111-1-1-1-1-111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111111111-11-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1111-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-11-1-1-1-1-1-1-1-111111
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
χ91111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-11-1-1-1-111-1-111-111-1-111-1-1-1-11-11
χ101111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-11-1-11-1-111-1-11111-1-1-1-1-1-111-1-111111111-1-11-1-1-1-1-1111-1-1-1-111-1-111111-1-1
χ111111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-111111-1-1-1-1111-1-1-1-11111-11-1
χ121111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11111-1-111-111-1-11111-1-1-1-1-111
χ131111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-11-111-1-111-1-1-1-1111111-1-1-1-1-1-1111111-11-1-1-1-111-1-1-111-1-11111-1-111-11-1
χ141111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1111-1-111-1-1-1-11111-1-1111111-1-11111-1-11-1-1-1-1-111-1-1111-1-1-1-111-1-1-111
χ151111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-111-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-111111-1-11-1-1-1-111-1-111-1-11-11
χ161111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-11-1111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-11111-1-11111-111-1-111-1-1111-1-1
χ1722222222-1222-1-1-12222-1-12222-1-12-1-1-1-1-1-1-1-1-122-1222222-122-1-1-1-1-1-1-1-1-12220022-1-1-1-1-1-1-1-1-1-1-1-100000000002-1-1-1-1002-1-100002020000000000-1-10
χ1822222222-1222-1-1-12222-1-12222-1-12-1-1-1-1-1-1-1-1-122-1222222-122-1-1-1-1-1-1-1-1-12-2-20022-1-1-1-1-1-1-1-1-1-1-1-10000000000-2111100-2110000-20-20000000000110
χ1922222222-1222-1-1-12222-1-12222-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-22200-2-211111111111100000000002-1-1-1-1002-1-10000-20-20000000000110
χ2022222222-1222-1-1-12222-1-12222-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-200-2-21111111111110000000000-2111100-21100002020000000000-1-10
χ212222222-12-122222-1-12-12-122-1-122-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-120022-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200220000022000-1-1-1-1000-1-1-1-1000000000
χ222222222-12-122222-1-12-12-122-1-122-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1200-2-2-1-12222-1-1-1-1-1-1-1-11111-2-200-2-200000-2-200011110001111000000000
χ232222222-12-122222-1-12-12-122-1-122-122-1-1-1-1-1-1-1-1-12-2-21111-1-1-122-1-1-1-1-1-1-1-2002211-2-2-2-211111111-1-1-1-1-2-200-2-20000022000-1-1-1-10001111000000000
χ242222222-12-122222-1-12-12-122-1-122-122-1-1-1-1-1-1-1-1-12-2-21111-1-1-122-1-1-1-1-1-1-1-200-2-211-2-2-2-211111111111122002200000-2-20001111000-1-1-1-1000000000
χ25222222-1222-1-122222-1-1-12-1-12222-1-1-12222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-102222000000000000002222002200-12-1-12-1-1-1-1-1-1-1-1-10200000-1-1-1-100000
χ26222222-1222-1-122222-1-1-12-1-12222-1-1-12222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1022-2-200000000000000-2-2-2-200-2-200-12-1-1211-1-1-111110-200000111100000
χ27222222-1222-1-122222-1-1-12-1-12222-1-1-12222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10-2-22200000000000000222200-2-2001-211-2-1-1111-1-1-1-10-200000111100000
χ28222222-1222-1-122222-1-1-12-1-12222-1-1-12222222-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200000000000000-2-2-2-20022001-211-21111111110200000-1-1-1-100000
χ292222-2-222-1222-1-1-12222-1-1-2-2-2-2112-1-1-1-1-1111122-1222222-1-2-211-1-1-11111-22-200-2-2-1-111-1-1-1-1111100000000002-1-1-1100-211000020-20000000000-110
χ302222-2-222-1222-1-1-12222-1-1-2-2-2-2112-1-1-1-1-1111122-1222222-1-2-211-1-1-11111-2-2200-2-2-1-111-1-1-1-111110000000000-2111-1002-1-10000-20200000000001-10
χ312222-2-222-1222-1-1-12222-1-1-2-2-2-2112-1-1-1-1-1111122-1-2-2-2-2-2-2-1-2-211-1-1-1111122-2002211-1-11111-1-1-1-100000000002-1-1-1100-2110000-20200000000001-10
χ322222-2-222-1222-1-1-12222-1-1-2-2-2-2112-1-1-1-1-1111122-1-2-2-2-2-2-2-1-2-211-1-1-111112-22002211-1-11111-1-1-1-10000000000-2111-1002-1-1000020-20000000000-110
χ332222-2-22-12-122222-1-12-12-1-2-211-2-2-122-1-1-11111-1-1222-1-1-1-1-111-2-2-1-1-11111-2002-21122-2-2-1-1-1-11111-1-1112200-2-2000002-2000-1-111000-1-111000000000
χ342222-2-22-12-122222-1-12-12-1-2-211-2-2-122-1-1-11111-1-1222-1-1-1-1-111-2-2-1-1-11111-200-221122-2-2-1-1-1-1111111-1-1-2-2002200000-2200011-1-100011-1-1000000000
χ352222-2-22-12-122222-1-12-12-1-2-211-2-2-122-1-1-11111-1-12-2-21111-111-2-2-1-1-111112002-2-1-1-2-2221111-1-1-1-1-1-111-2-20022000002-2000-1-11100011-1-1000000000
χ362222-2-22-12-122222-1-12-12-1-2-211-2-2-122-1-1-11111-1-12-2-21111-111-2-2-1-1-11111200-22-1-1-2-2221111-1-1-1-111-1-12200-2-200000-2200011-1-1000-1-111000000000
χ372222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-1000000-11111-1-1-1111102-22-20000000000000022-2-200-2-200-12-1-1-2-11111-1-1110200000-1-11100000
χ382222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-1000000-11111-1-1-1111102-2-2200000000000000-2-222002200-12-1-1-21-111111-1-10-20000011-1-100000
χ392222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-1000000-11111-1-1-111110-222-20000000000000022-2-20022001-2112-11-1-1-1-1-1110-20000011-1-100000
χ402222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-1222-2-2-2-2-1-1-1000000-11111-1-1-111110-22-2200000000000000-2-22200-2-2001-21121-1-1-1-111-1-10200000-1-11100000
χ4122-2-200222-22-2-22-22-2-2222000000-22-22-2-200002-2-22-222-2-2200002-2-2000000000002-20022-2-200000000002i−2i00000000000000000000000002i−2i2i−2i000
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χ4322-2-200222-22-2-22-22-2-2222000000-22-22-2-200002-2-2-22-2-222200002-2-200000000000-2200-2-22200000000002i−2i00000000000000000000000002i−2i−2i2i000
χ4422-2-200222-22-2-22-22-2-2222000000-22-22-2-200002-2-2-22-2-222200002-2-200000000000-2200-2-2220000000000−2i2i0000000000000000000000000−2i2i2i−2i000
χ452-22-22-22222-2-22-2-2-2-222222-22-22-22-2-2-22-222-2-2-2-2200000022-22-2-22-222-2-2000000000000000000000002i−2i002i−2i000000000000000002i−2i2i−2i000000000
χ462-22-22-22222-2-22-2-2-2-222222-22-22-22-2-2-22-222-2-2-2-2200000022-22-2-22-222-2-200000000000000000000000−2i2i00−2i2i00000000000000000−2i2i−2i2i000000000
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χ482-22-22-22-12-1-2-22-2-2112-12-12-2-112-2-1-2-21-11-1-11111200−i3i3−i3i3-1-112-21-11-1-11100000−i3i30000−i3i3−i3i3−i3−i3i3i3−33−33−2i2i00−2i2i0000000000−33−33000i−ii−i000000000
χ492-22-22-22-12-1-2-22-2-2112-12-12-2-112-2-1-2-21-11-1-11111200i3−i3i3−i3-1-112-21-11-1-11100000i3−i30000i3−i3i3−i3i3i3−i3−i33−33−3−2i2i00−2i2i00000000003−33−3000i−ii−i000000000
χ502-22-22-22-12-1-2-22-2-2112-12-12-2-112-2-1-2-21-11-1-11111200i3−i3i3−i3-1-112-21-11-1-11100000i3−i30000i3−i3i3−i3i3i3−i3−i3−33−332i−2i002i−2i0000000000−33−33000−ii−ii000000000
χ512-22-2-222222-2-22-2-2-2-22222-22-22-222-2-2-22-2-2-222-2-220000002-22-22-22-2-2-222000000000000000000000002i−2i00−2i2i000000000000000002i−2i−2i2i000000000
χ522-22-2-222222-2-22-2-2-2-22222-22-22-222-2-2-22-2-2-222-2-220000002-22-22-22-2-2-22200000000000000000000000−2i2i002i−2i00000000000000000−2i2i2i−2i000000000
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χ552-22-2-222-12-1-2-22-2-2112-12-1-221-1-22-1-2-21-1111-1-111200i3−i3i3−i3-11-1-221-1111-1-100000−i3i30000i3−i3i3−i3−i3−i3i3i33−3−33−2i2i002i−2i00000000003−3−33000i−i−ii000000000
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χ574444444-2-2-244-2-2-2-2-24-2-2144-2-2-2-2-2-2-21111111-2-2-244-2-2-2-21-2-2-2-2111111140000-2-2-2-2-2-2111111110000000000000000000000000000000000000000
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χ884-44-4-444-2-2-2-4-4-222224-2-21-442-22-2-222-11-1-1-11122-200−2i32i3−2i32i312-22-2-11-1-1-111000002i3−2i30000i3−i3i3−i3−i3−i3i3i30000000000000000000000000000000000000000
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χ904-44-4-44-2444224-4-4-4-4-2-2-242-2-44-44-222-44-4-4-44422-2000000-22-22-22-2222-2-200000000000000000000000000000000000000000000000000000000000
χ914-44-4-44-24-2422-222-4-4-2-21-22-2-442-2-2-1-12-2222-2-222100000012-2-11-11-1-1-11100000000000000000000000000000003-30000-3300000000000000000000
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χ974-4-440044-2-4-4422-2-44-44-2-2000000-42-222-20000-442000000-2000022-200000000000002i3−2i300002i3−2i3−2i32i30000000000000000000000000000000000000000
χ984-4-44004-242-44-4-442-2-4-24-20000002-4422-200002-2-400−2i32i32i3−2i3-2000022-2000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ994-4-44004-242-44-4-442-2-4-24-20000002-4422-200002-2-4002i3−2i3−2i32i3-2000022-20000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ1004-4-44004-2-22-4422-22-2-4-2-2100000022-2-1-113-3-332-2200−2i32i32i3−2i310000-1-113-3-330000000002i3−2i3i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000000000
χ1014-4-44004-2-22-4422-22-2-4-2-2100000022-2-1-113-3-332-22002i3−2i3−2i32i310000-1-113-3-33000000000−2i32i3−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000000000
χ1024-4-44004-2-22-4422-22-2-4-2-2100000022-2-1-11-333-32-2200−2i32i32i3−2i310000-1-11-333-3000000000−2i32i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000
χ1034-4-44004-2-22-4422-22-2-4-2-2100000022-2-1-11-333-32-22002i3−2i3−2i32i310000-1-11-333-30000000002i3−2i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000
χ1044-4-4400-244-42-2-4-44-442-2-2400000022-2-4-4400002-22000000-2000022-200000000000000000000000000000000000000000000000000000023−230000000
χ1054-4-4400-244-42-2-4-44-442-2-2400000022-2-4-4400002-22000000-2000022-2000000000000000000000000000000000000000000000000000000−23230000000
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
χ10888-8-800-48-4-8-444-448-84-42-400000042-2-4440000-44-2000000200002-2-2000000000000000000000000000000000000000000000000000000000000000
χ10988-8-800-4-484-44-88-8-4442-4-4000000-2-44-44400002-24000000200002-2-2000000000000000000000000000000000000000000000000000000000000000
χ11088-8-800-4-4-44-444-44-444222000000-22-22-2-26-66-62-2-2000000-10000-111-33-3300000000000000000000000000000000000000000000000000000000000
χ11188-8-800-4-4-44-444-44-444222000000-22-22-2-2-66-662-2-2000000-10000-1113-33-300000000000000000000000000000000000000000000000000000000000
χ1128-88-88-8-4-4-4-444-44444-4222-44-44-442-2-2-22-222-2-2-2-22000000-12-22-21-11-1-11100000000000000000000000000000000000000000000000000000000000
χ1138-88-8-88-4-4-4-444-44444-42224-44-44-42-2-2-22-2-2-222-2-22000000-1-22-221-1111-1-100000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-48-4-84-444-4-884-42-40000004-2244-400004-4-200000020000-2-22000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8800-4-4844-4-8-884-442-4-4000000-24-444-40000-22400000020000-2-22000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8800-4-4-444-444-44-44222000000-2-22-2-226-6-66-22-2000000-1000011-1-333-300000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-4-4-444-444-44-44222000000-2-22-2-22-666-6-22-2000000-1000011-13-3-3300000000000000000000000000000000000000000000000000000000000

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