Finite Group Databasebeta

← Group #11786584

Character table — Group #11786584

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1222223344446666661212121234444666666612121212121212121212661212121212121212121212121212121212124444121212121212121244888812121212242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ911-1-11-111-1-11111-1-1-1-1-1-1111i−ii−i11-11-1-1-111-1-1-111-1-111-1iii−i−i−ii−i1-1iiii−i−i−i−iii−i−iiiii−i−i−i−ii−i1-11-1ii−i−i11-1-111-1-111-1-1i−ii−i
χ1011-1-11-111-1-11111-1-1-1-1-1-1111i−ii−i11-11-1-1-111-1-1-111-1-111-1iii−i−i−ii−i1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i−ii1-1-11−i−iii11-1-1-1-111-1-111−ii−ii
χ1111-1-11-111-1-11111-1-1-1-1-1-1111i−ii−i11-11-1-1-111-1-1-111-1-111-1iii−i−i−ii−i1-1iiii−i−i−i−i−i−iii−i−i−i−iiiiii−i-111-1ii−i−i-1-11111-1-1-1-111−ii−ii
χ1211-1-11-111-1-11111-1-1-1-1-1-1111i−ii−i11-11-1-1-111-1-1-111-1-111-1iii−i−i−ii−i1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii−ii-11-11−i−iii-1-111-1-11111-1-1i−ii−i
χ1311-1-11-111-1-11111-1-1-1-1-1-1111−ii−ii11-11-1-1-111-1-1-111-1-111-1−i−i−iiii−ii1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−ii−i-11-11ii−i−i-1-111-1-11111-1-1−ii−ii
χ1411-1-11-111-1-11111-1-1-1-1-1-1111−ii−ii11-11-1-1-111-1-1-111-1-111-1−i−i−iiii−ii1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−i−ii-111-1−i−iii-1-11111-1-1-1-111i−ii−i
χ1511-1-11-111-1-11111-1-1-1-1-1-1111−ii−ii11-11-1-1-111-1-1-111-1-111-1−i−i−iiii−ii1-1−i−i−i−iiiii−i−iii−i−i−i−iiiiii−i1-1-11ii−i−i11-1-1-1-111-1-111i−ii−i
χ1611-1-11-111-1-11111-1-1-1-1-1-1111−ii−ii11-11-1-1-111-1-1-111-1-111-1−i−i−iiii−ii1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii−ii1-11-1−i−iii11-1-111-1-111-1-1−ii−ii
χ1722222222-2-2-2-2222222-2-2-2-2200002222222-2-2-2-2-2-2-2-2-2-22200000000-2-2000000000000000000000000000000000000002-22-20000
χ1822222222-2-2-2-2222222-2-2-2-2200002222222-2-2-2-2-2-2-2-2-2-22200000000-2-200000000000000000000000000000000000000-22-220000
χ192222222-122222-122-1-12222-122222-1-1-1-1-122-12-1-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000220022-1-1-1-10000-1-1-1-100000000
χ202222222-122222-122-1-12222-122222-1-1-1-1-122-12-1-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-200-2-211110000111100000000
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χ222222222-122222-122-1-12222-1-2-2-2-22-1-1-1-1-122-12-1-1-1-1-1-1-1-1-1-2-21-2-2111-1-111111111000000000000-2-2002211110000-1-1-1-100000000
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χ24222222-122222-12-1-122-1-1-1-1-12222-122-1-1-1-1-12-122-1-1-1-12-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100-2-20000001111000000000000
χ25222222-122222-12-1-122-1-1-1-1-1-2-2-2-2-122-1-1-1-1-12-122-1-1-1-12-1-111-211-2-2-2-1-1111111112222-1-1-1-1-1-1-1-100-2-20000001111000000000000
χ26222222-122222-12-1-122-1-1-1-1-1-2-2-2-2-122-1-1-1-1-12-122-1-1-1-12-1-111-211-2-2-2-1-111111111-2-2-2-2111111110022000000-1-1-1-1000000000000
χ272222-2-2222-22-2222222222220000-2-2-2222-2-22-22-22222-2-2-200000000-2-200000000000000000000000000000000000000000022-2-2
χ282222-2-2222-22-2222222222220000-2-2-2222-2-22-22-22222-2-2-200000000-2-2000000000000000000000000000000000000000000-2-222
χ292222-2-222-22-22222222-2-2-2-2222-2-2-2-2-2222-22-22-22-2-2-2-22-2-22-222-22-2-22222-2-222-2-200000000000000000000000000000000000000
χ302222-2-222-22-22222222-2-2-2-22-2-222-2-2-2222-22-22-22-2-2-2-22-2-2-22-2-22-22222-2-222-2-22200000000000000000000000000000000000000
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χ322222-2-22-1-22-222-122-1-1-2-2-2-2-122-2-2-211-1-1-1-22121-11111-1112-2-12-2-111-1-1-1-111-1-111000000000000000000i3−i3i3−i30000i3−i3i3−i300000000
χ332222-2-22-1-22-222-122-1-1-2-2-2-2-1-2-222-211-1-1-1-22121-11111-111-221-221-1-1-1-111-1-111-1-1000000000000000000−i3i3−i3i30000i3−i3i3−i300000000
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χ362222-2-2-12-22-22-12-1-1221111-122-2-21-2-2-1-1-11-1-2-1-221111211-112-112-2-2-1-1-1-111-1-1110000−3−333−3−3330000000000−33−33000000000000
χ372222-2-2-12-22-22-12-1-1221111-1-2-2221-2-2-1-1-11-1-2-1-2211112111-1-21-1-222-1-111-1-111-1-1000033−3−333−3−30000000000−33−33000000000000
χ382222-2-2-12-22-22-12-1-1221111-1-2-2221-2-2-1-1-11-1-2-1-2211112111-1-21-1-222-1-111-1-111-1-10000−3−333−3−33300000000003−33−3000000000000
χ3922-2-22-22222-2-222-2-2-2-222-2-22000022-22-2-2-2-2-2222-2-222-22-200000000-22000000000000000000000000000000000000002-2-220000
χ4022-2-22-22222-2-222-2-2-2-222-2-22000022-22-2-2-2-2-2222-2-222-22-200000000-2200000000000000000000000000000000000000-222-20000
χ4122-2-22-22-1-2-2222-1-2-211-2-222-12i−2i2i−2i2-11-111-22-1-211-1-111-1-112i2i−i−2i−2ii−ii-11−i−i−i−iiiii0000000000002i−2i002-2−i−iii0000-1-11100000000
χ4222-2-22-22-1-2-2222-1-2-211-2-222-12i−2i2i−2i2-11-111-22-1-211-1-111-1-112i2i−i−2i−2ii−ii-11−i−i−i−iiiii000000000000−2i2i00-22ii−i−i000011-1-100000000
χ4322-2-22-22-1-2-2222-1-2-211-2-222-1−2i2i−2i2i2-11-111-22-1-211-1-111-1-11−2i−2ii2i2i−ii−i-11iiii−i−i−i−i0000000000002i−2i00-22−i−iii000011-1-100000000
χ4422-2-22-22-1-2-2222-1-2-211-2-222-1−2i2i−2i2i2-11-111-22-1-211-1-111-1-11−2i−2ii2i2i−ii−i-11iiii−i−i−i−i000000000000−2i2i002-2ii−i−i0000-1-11100000000
χ4522-2-22-2-12-2-222-1211-2-211-1-1-12i−2i2i−2i-12-2-1111-121-2-2-1-1112-11−i−i2iii−2i2i−2i-11−i−i−i−iiiii2i2i−2i−2i−i−i−i−iiiii002-2000000-1-111000000000000
χ4622-2-22-2-12-2-222-1211-2-211-1-1-12i−2i2i−2i-12-2-1111-121-2-2-1-1112-11−i−i2iii−2i2i−2i-11−i−i−i−iiiii−2i−2i2i2iiiii−i−i−i−i00-2200000011-1-1000000000000
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χ4822-2-22-2-12-2-222-1211-2-211-1-1-1−2i2i−2i2i-12-2-1111-121-2-2-1-1112-11ii−2i−i−i2i−2i2i-11iiii−i−i−i−i−2i−2i2i2iiiii−i−i−i−i002-2000000-1-111000000000000
χ4922-2-2-22222-2-2222-2-2-2-222-2-222i−2i−2i2i-2-222-2-222-2-22-2-2-2222-222i−2i2i−2i2i−2i−2i2i2-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ5022-2-2-22222-2-2222-2-2-2-222-2-22−2i2i2i−2i-2-222-2-222-2-22-2-2-2222-22−2i2i−2i2i−2i2i2i−2i2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000
χ5122-2-2-2222-222-222-2-2-2-2-2-22220000-2-222-2-22-222-2222-2-2-2-2200000000-220000000000000000000000000000000000000000002i−2i−2i2i
χ5222-2-2-2222-222-222-2-2-2-2-2-22220000-2-222-2-22-222-2222-2-2-2-2200000000-22000000000000000000000000000000000000000000−2i2i2i−2i
χ5322-2-2-222-12-2-222-1-2-21122-2-2-12i−2i−2i2i-21-1-111221-2-1111-1-1-11-12i−2i−i−2i2iii−i-11−i−iiiii−i−i0000000000000000003−3−330000−i3i3i3−i300000000
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χ5522-2-2-222-12-2-222-1-2-21122-2-2-1−2i2i2i−2i-21-1-111221-2-1111-1-1-11-1−2i2ii2i−2i−i−ii-11ii−i−i−i−iii0000000000000000003−3−330000i3−i3−i3i300000000
χ5622-2-2-222-12-2-222-1-2-21122-2-2-1−2i2i2i−2i-21-1-111221-2-1111-1-1-11-1−2i2ii2i−2i−i−ii-11ii−i−i−i−iii000000000000000000−333−30000−i3i3i3−i300000000
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χ874-44-400-2400002-4-224-423−2323−23-200000002-2200000023−2323−230000000000000000000002i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000000
χ884-44-400-2400002-4-224-423−2323−23-200000002-2200000023−2323−23000000000000000000000−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000000
χ894-44-400-2400002-4-224-4−2323−2323-200000002-22000000−2323−23230000000000000000000002i−2i2i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000000000
χ904-44-400-2400002-4-224-4−2323−2323-200000002-22000000−2323−2323000000000000000000000−2i2i−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000000
χ914-4-4400440000-4-4-44-44000040000000-4-4400000000000000000000000000000002-2-222-22-2-22-2200000000000000000000000000
χ924-4-4400440000-4-4-44-44000040000000-4-440000000000000000000000000000000-222-2-22-222-22-200000000000000000000000000
χ934-4-4400-2400002-42-2-4423−23−2323-2000000022-2000000−232323−230000000000000000000002-2-22−1+31−3−1−31+31−3−1+31+3−1−300000000000000000000000000
χ944-4-4400-2400002-42-2-4423−23−2323-2000000022-2000000−232323−23000000000000000000000-222-21−3−1+31+3−1−3−1+31−3−1−31+300000000000000000000000000
χ954-4-4400-2400002-42-2-44−232323−23-2000000022-200000023−23−23230000000000000000000002-2-22−1−31+3−1+31−31+3−1−31−3−1+300000000000000000000000000
χ964-4-4400-2400002-42-2-44−232323−23-2000000022-200000023−23−2323000000000000000000000-222-21+3−1−31−3−1+3−1−31+3−1+31−300000000000000000000000000
χ978-88-8008-40000-848-8-440000-400000004-44000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4000044-44-4443−4343−4320000000-22-2000000−2323−232300000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4000044-44-44−4343−434320000000-22-200000023−2323−2300000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-84-884-40000-4000000044-4000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000444-44-443−43−434320000000-2-2200000023−23−232300000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000444-44-4−434343−4320000000-2-22000000−232323−2300000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.