Finite Group Databasebeta

← Group #11889102

Character table — Group #11889102

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412121212242424242424242424242424242436363636484848487272
order1222223344666666666634666666666888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422442244446666121212122444612121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-1111111-1-1-1-1
χ61111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111111111-1-111-1-1
χ91111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-1-11-11-11-11-1-11
χ101111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1111-1-111-1-1-11-11-11-111-1
χ111111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-1-111-11-111-11-11-1
χ121111-1-111111-1-1-1-1111111-1-1-111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1111-11-1-11-11-11
χ131111-1-111111-1-1-1-1111111-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-11-111-111-1-1-1-1111-11-11-1-111-1
χ141111-1-111111-1-1-1-1111111-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11-11111-1-1-1-111-11-11-111-1-11
χ151111-1-111111-1-1-1-1111111-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-11-1-1-1-11111-1-1-11-111-1-11-11
χ161111-1-111111-1-1-1-1111111-1-1-111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-11-1-11-1-11111-1-11-11-1-111-11-1
χ1722222222-2-222222222222-22222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000002-2-22000000
χ1822222222-2-222222222222-22222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-222-2000000
χ192222222-122-1-1-1-1-1-1222-1-1222-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222200020-1-1-1-1-1-1-1-10000000000
χ202222222-122-1-1-1-1-1-1222-1-1222-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2000-20111111110000000000
χ212222222-122-1-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-22000-20-1-1-1-111110000000000
χ222222222-122-1-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222-2000201111-1-1-1-10000000000
χ23222222-1222222222-1-1-12-12-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000022202000000000000-1-1-1-100
χ24222222-1222222222-1-1-12-12-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000-2-2-20-2000000000000111100
χ25222222-1222222222-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000002-2-202000000000000-1-11100
χ26222222-1222222222-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000-2220-200000000000011-1-100
χ272222-2-222-2-22-2-2-2-22222222-2-222-2-2-2-220000-222-222-2-22222-2-2-2-20000000000000000000000000000000000000000000000000022-2-2000000
χ282222-2-222-2-22-2-2-2-22222222-2-222-2-2-2-220000-222-222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000-2-222000000
χ292222-2-22-122-11111-1222-1-1-2-2-2-1-11111-122-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222-2000-20-1-111-1-1110000000000
χ302222-2-22-122-11111-1222-1-1-2-2-2-1-11111-122-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-220002011-1-111-1-10000000000
χ312222-2-22-122-11111-1222-1-1-2-2-2-1-11111-1-2-222-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-200020-1-11111-1-10000000000
χ322222-2-22-122-11111-1222-1-1-2-2-2-1-11111-1-2-222-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2222000-2011-1-1-1-1110000000000
χ332222-2-2-12222-2-2-2-22-1-1-12-1-211-1-11111-122-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000022-20-2000000000000-11-1100
χ342222-2-2-12222-2-2-2-22-1-1-12-1-211-1-11111-122-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000-2-22020000000000001-11-100
χ352222-2-2-12222-2-2-2-22-1-1-12-1-211-1-11111-1-2-2222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000002-220-2000000000000-111-100
χ362222-2-2-12222-2-2-2-22-1-1-12-1-211-1-11111-1-2-2222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000-22-2020000000000001-1-1100
χ372-22-200222-2-200002-2-22-22000-2-2000022i−2i00200200220000-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000002-22i−2i0000002-2002i−2i000000000000
χ382-22-200222-2-200002-2-22-22000-2-2000022i−2i00200200220000-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000-22−2i2i000000-2200−2i2i000000000000
χ392-22-200222-2-200002-2-22-22000-2-200002−2i2i00200200220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000002-2−2i2i0000002-200−2i2i000000000000
χ402-22-200222-2-200002-2-22-22000-2-200002−2i2i00200200220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000-222i−2i000000-22002i−2i000000000000
χ412-22-2002-12-21−i3−i3i3i3-1-2-221-100011−i3−i3i3i3-12i−2i00-1−i3i3200-1-1−i3−i3i3i31-2112i2i−2i−2i−i−iii−i−i−i−iiiii000033−3−33333−3−3−3−32-22i−2i000000-11−i3i3−ii3−30000000000
χ422-22-2002-12-21−i3−i3i3i3-1-2-221-100011−i3−i3i3i3-12i−2i00-1−i3i3200-1-1−i3−i3i3i31-2112i2i−2i−2i−i−iii−i−i−i−iiiii000033−3−33333−3−3−3−3-22−2i2i0000001-1i3−i3i−i−330000000000
χ432-22-2002-12-21−i3−i3i3i3-1-2-221-100011−i3−i3i3i3-1−2i2i00-1−i3i3200-1-1−i3−i3i3i31-211−2i−2i2i2iii−i−iiiii−i−i−i−i0000−3−333−3−3−3−333332-2−2i2i000000-11−i3i3i−i−330000000000
χ442-22-2002-12-21−i3−i3i3i3-1-2-221-100011−i3−i3i3i3-1−2i2i00-1−i3i3200-1-1−i3−i3i3i31-211−2i−2i2i2iii−i−iiiii−i−i−i−i0000−3−333−3−3−3−33333-222i−2i0000001-1i3−i3−ii3−30000000000
χ452-22-2002-12-21i3i3−i3−i3-1-2-221-100011i3i3−i3−i3-12i−2i00-1i3−i3200-1-1i3i3−i3−i31-2112i2i−2i−2i−i−iii−i−i−i−iiiii0000−3−333−3−3−3−333332-22i−2i000000-11i3−i3−ii−330000000000
χ462-22-2002-12-21i3i3−i3−i3-1-2-221-100011i3i3−i3−i3-12i−2i00-1i3−i3200-1-1i3i3−i3−i31-2112i2i−2i−2i−i−iii−i−i−i−iiiii0000−3−333−3−3−3−33333-22−2i2i0000001-1−i3i3i−i3−30000000000
χ472-22-2002-12-21i3i3−i3−i3-1-2-221-100011i3i3−i3−i3-1−2i2i00-1i3−i3200-1-1i3i3−i3−i31-211−2i−2i2i2iii−i−iiiii−i−i−i−i000033−3−33333−3−3−3−32-2−2i2i000000-11i3−i3i−i3−30000000000
χ482-22-2002-12-21i3i3−i3−i3-1-2-221-100011i3i3−i3−i3-1−2i2i00-1i3−i3200-1-1i3i3−i3−i31-211−2i−2i2i2iii−i−iiiii−i−i−i−i000033−3−33333−3−3−3−3-222i−2i0000001-1−i3i3−ii−330000000000
χ494444444-2-4-4-2-2-2-2-2-2444-2-2-444-2-2-2-2-2-2-20000222-4-4-42222222-422000000000000000000000000000000000000000000000000000000000000
χ50444444-24-4-4444444-2-2-24-2-4-2-2-2-2-2-2-2-2-20000-4-4-4222222222-4222000000000000000000000000000000000000000000000000000000000000
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χ52444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-4-4-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000
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χ54444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-4-2-211111110000222222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000
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χ584444-4-4-2-244-22222-2-2-2-2-21-42211-1-1-1-11-4-444-222-22211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ594444-4-4-2-2-4-4-22222-2-2-2-2-2142211-1-1-1-1100002-2-22-2-2-1-1111122-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000
χ604444-4-4-2-2-4-4-22222-2-2-2-2-2142211-1-1-1-1100002-2-22-2-2-1-1111122-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i0000000000000000000000000000
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χ7044-4-400-240040000-4-222-4-2000-2200002002i2−2i20000−232300−2323−23230000i6−i6i6−i60000i6−i6−i6i6i6−i6−i6i6−i2−i2i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.