Finite Group Databasebeta

← Group #11889410

Character table — Group #11889410

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412121212242424242424242424242424242436363636484848487272
order122222334466666666663466666666688881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444444444121212121212121224441212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11111-1-1-1-111111-11-1-1-1
χ61111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111111-1-1-1-1-1-1-1-1-11-1111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1-1-1-11111-1-1-1-11-11-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-111111111-11-11-1-1
χ91111-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-111-1-11-1-111-1-11-11
χ101111-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-111-1-111-1-1-111-1-111-11-1
χ111111-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-111-111-11-1-111-1
χ121111-1-1111111-1-1-1-111111-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1111-1-11-111-1-11
χ131111-1-1111111-1-1-1-111111-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1111-1-111-1-1-1-1111-1-1111-1-11-1
χ141111-1-1111111-1-1-1-111111-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-111111-1-1-1-111-111-1-1-111-11
χ151111-1-1111111-1-1-1-111111-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-1-1-11111-1-1-111-111-1-1-11
χ161111-1-1111111-1-1-1-111111-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-1-1-111-1-11111-1-11-1-11-1-1111-1
χ1722222222-2-222222222222-22222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000022-2-2000000
χ1822222222-2-222222222222-22222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-2-222000000
χ192222222-1222-122222-12-1-12-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000022022000000000000-1-1-1-100
χ202222222-1222-122222-12-1-12-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2-20-2-2000000000000111100
χ212222222-1222-122222-12-1-12-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000002-202-2000000000000-11-1100
χ222222222-1222-122222-12-1-12-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000-220-220000000000001-11-100
χ23222222-1222-12-1-1-1-1-12-12-1222-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222200200-1-1-1-1-1-1-1-10000000000
χ24222222-1222-12-1-1-1-1-12-12-1222-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-200-200111111110000000000
χ25222222-1222-12-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2200-200-1-1-1-111110000000000
χ26222222-1222-12-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-222-2002001111-1-1-1-10000000000
χ272222-2-222-2-222-2-2-2-2222222-2-222-2-2-2-220000-2-22222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000002-22-2000000
χ282222-2-222-2-222-2-2-2-2222222-2-222-2-2-2-220000-2-22222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000-22-22000000
χ292222-2-22-1222-1-2-2-2-22-12-1-1-211-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000002-20-22000000000000-111-100
χ302222-2-22-1222-1-2-2-2-22-12-1-1-211-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000-2202-20000000000001-1-1100
χ312222-2-22-1222-1-2-2-2-22-12-1-1-211-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000220-2-2000000000000-1-11100
χ322222-2-22-1222-1-2-2-2-22-12-1-1-211-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000-2-202200000000000011-1-100
χ332222-2-2-1222-121111-12-12-1-2-2-2-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112222-200-200-1-111-1-1110000000000
χ342222-2-2-1222-121111-12-12-1-2-2-2-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-220020011-1-111-1-10000000000
χ352222-2-2-1222-121111-12-12-1-2-2-2-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-122-2-2-200200-1-11111-1-10000000000
χ362222-2-2-1222-121111-12-12-1-2-2-2-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-222200-20011-1-1-1-1110000000000
χ372-2-2200222-2-2-20000-2-2222000-2-2000022i−2i00220000220000-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000002i−2i2-20000002i−2i002-2000000000000
χ382-2-2200222-2-2-20000-2-2222000-2-2000022i−2i00220000220000-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000−2i2i-22000000−2i2i00-22000000000000
χ392-2-2200222-2-2-20000-2-2222000-2-200002−2i2i00220000220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000002i−2i-220000002i−2i00-22000000000000
χ402-2-2200222-2-2-20000-2-2222000-2-200002−2i2i00220000220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000−2i2i2-2000000−2i2i002-2000000000000
χ412-2-2200-122-21-2−i3−i3i3i31-2-12-100011−i3−i3i3i3-12i−2i00-12−i3i300-1-1−i3−i3i3i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii33−3−300003333−3−3−3−32i−2i2-2000000−ii3−3-11−i3i30000000000
χ422-2-2200-122-21-2−i3−i3i3i31-2-12-100011−i3−i3i3i3-12i−2i00-12−i3i300-1-1−i3−i3i3i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii33−3−300003333−3−3−3−3−2i2i-22000000i−i−331-1i3−i30000000000
χ432-2-2200-122-21-2−i3−i3i3i31-2-12-100011−i3−i3i3i3-1−2i2i00-12−i3i300-1-1−i3−i3i3i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−3−3330000−3−3−3−333332i−2i-22000000−ii3−31-1i3−i30000000000
χ442-2-2200-122-21-2−i3−i3i3i31-2-12-100011−i3−i3i3i3-1−2i2i00-12−i3i300-1-1−i3−i3i3i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−3−3330000−3−3−3−33333−2i2i2-2000000i−i−33-11−i3i30000000000
χ452-2-2200-122-21-2i3i3−i3−i31-2-12-100011i3i3−i3−i3-12i−2i00-12i3−i300-1-1i3i3−i3−i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii−3−3330000−3−3−3−333332i−2i2-2000000−ii−33-11i3−i30000000000
χ462-2-2200-122-21-2i3i3−i3−i31-2-12-100011i3i3−i3−i3-12i−2i00-12i3−i300-1-1i3i3−i3−i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii−3−3330000−3−3−3−33333−2i2i-22000000i−i3−31-1−i3i30000000000
χ472-2-2200-122-21-2i3i3−i3−i31-2-12-100011i3i3−i3−i3-1−2i2i00-12i3−i300-1-1i3i3−i3−i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i33−3−300003333−3−3−3−32i−2i-22000000−ii−331-1−i3i30000000000
χ482-2-2200-122-21-2i3i3−i3−i31-2-12-100011i3i3−i3−i3-1−2i2i00-12i3−i300-1-1i3i3−i3−i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i33−3−300003333−3−3−3−3−2i2i2-2000000i−i3−3-11i3−i30000000000
χ494444444-2-4-44-244444-24-2-2-4-2-2-2-2-2-2-2-2-20000-42-4-422222222-4222000000000000000000000000000000000000000000000000000000000000
χ50444444-24-4-4-24-2-2-2-2-24-24-2-444-2-2-2-2-2-2-200002-422-4-42222222-422000000000000000000000000000000000000000000000000000000000000
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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
χ554444-4-44-2-4-44-2-4-4-4-44-24-2-2422-2-22222-20000-4244-2-222-2-2-2-2-4222000000000000000000000000000000000000000000000000000000000000
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χ584444-4-4-2-244-2-22222-2-2-2-21-42211-1-1-1-11-4-444-2-2222211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ594444-4-4-2-2-4-4-2-22222-2-2-2-2142211-1-1-1-11000022-2-2-2-2-1-1111122-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000
χ604444-4-4-2-2-4-4-2-22222-2-2-2-2142211-1-1-1-11000022-2-2-2-2-1-1111122-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i0000000000000000000000000000
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χ7144-4-400-2-200-22−2i32i3−2i32i32-22210001-1i3−i3i3−i3-10022−22000023−233i−3i−33−33003i−3ii6−i6i6−i66−66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−22−22−2−222ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.