Finite Group Databasebeta

← Group #11787034

Character table — Group #11787034

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222444422334466666612121212121212123666666688881212121212121212661212242424242424242424242424242424244444888812121212121212122424242424242424888844881212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ7111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ8111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11-1-111ii−i−iii−i−iiiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11-1-111ii−i−iii−i−iiiii−i−i−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii1-1−ii11-1-1−i−iii-1-111−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11-1-111ii−i−iii−i−iiiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-11i−i-1-111ii−i−i-1-111−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11-1-111ii−i−iii−i−iiiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-11−ii-1-111−i−iii11-1-1i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11-1-111−i−iii−i−iii−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-11−ii-1-111−i−iii-1-111i−i
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11-1-111−i−iii−i−iii−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-11i−i-1-111ii−i−i11-1-1−ii
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11-1-111−i−iii−i−iii−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-1−ii11-1-1−i−iii11-1-1−ii
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11-1-111−i−iii−i−iii−i−i−i−iiiii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i1-1i−i11-1-1ii−i−i-1-111i−i
χ1722222222222-122222-1-1-122-1-1-1-122-122-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ1822222222222-122222-1-1-122-1-1-1-122-122-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ1922222222222-122222-1-1-122-1-1-1-122-122-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-1-1-1-11111-2-2-2-21111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ2022222222222-122222-1-1-122-1-1-1-122-122-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-1-1-1-11111-2-2-2-211111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ212222222222-1222-1-1-1222-1-12222-1-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ222222222222-1222-1-1-1222-1-12222-1-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ232222222222-1222-1-1-1222-1-12222-1-1-1-1-12-1-1-12-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ242222222222-1222-1-1-1222-1-12222-1-1-1-1-12-1-1-12-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-22222-2-2-2-2-2000000000000000000000000000000000000000022220000000000000000-2-2
χ2622222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-22222-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-2000000000000000022
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-222-2-200000000000000000000000000000000000000002i2i−2i−2i0000000000000000−2i2i
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-222-2-20000000000000000000000000000000000000000−2i−2i2i2i00000000000000002i−2i
χ292222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-2-21-1-1-112i2i−2i−2i2-1-11111211-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii0000000000002-200-1-1110000000000
χ302222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-2-21-1-1-112i2i−2i−2i2-1-11111211-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i000000000000-220011-1-10000000000
χ312222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-2-21-1-1-11−2i−2i2i2i2-1-11111211-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii000000000000-220011-1-10000000000
χ322222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-2-21-1-1-11−2i−2i2i2i2-1-11111211-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i0000000000002-200-1-1110000000000
χ332222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-111-2-1-1-1-22i2i−2i−2i-1221111-111-1-12i2i−2i−2i−i−iii−i−i−i−iiiii000022-2-200000000-1-1-1-111110000002i−2i0000−i−iii000000
χ342222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-111-2-1-1-1-22i2i−2i−2i-1221111-111-1-12i2i−2i−2i−i−iii−i−i−i−iiiii0000-2-222000000001111-1-1-1-1000000−2i2i0000ii−i−i000000
χ352222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-111-2-1-1-1-2−2i−2i2i2i-1221111-111-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i000022-2-200000000-1-1-1-11111000000−2i2i0000ii−i−i000000
χ362222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-111-2-1-1-1-2−2i−2i2i2i-1221111-111-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i0000-2-222000000001111-1-1-1-10000002i−2i0000−i−iii000000
χ3722-2-22i−2i2i−2i0022002-2-2-22-22i−2i2i−2i2i−2i2i−2i20002-2-2000000002i−2i2i−2i0000000000000000000001+i−1−i1−i−1+i2−2−i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i22−2−2−i2−i2i2i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ3822-2-22i−2i2i−2i0022002-2-2-22-22i−2i2i−2i2i−2i2i−2i20002-2-2000000002i−2i2i−2i0000000000000000000001+i−1−i1−i−1+i−22i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222i2i2−i2−i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ3922-2-22i−2i2i−2i0022002-2-2-22-22i−2i2i−2i2i−2i2i−2i20002-2-2000000002i−2i2i−2i000000000000000000000−1−i1+i−1+i1−i2−2−i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2−i2−i2i2i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ4022-2-22i−2i2i−2i0022002-2-2-22-22i−2i2i−2i2i−2i2i−2i20002-2-2000000002i−2i2i−2i000000000000000000000−1−i1+i−1+i1−i−22i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2−222i2i2−i2−i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ4122-2-2−2i2i−2i2i0022002-2-2-22-2−2i2i−2i2i−2i2i−2i2i20002-2-200000000−2i2i−2i2i0000000000000000000001−i−1+i1+i−1−i2−2i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2i2i2−i2−i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ4222-2-2−2i2i−2i2i0022002-2-2-22-2−2i2i−2i2i−2i2i−2i2i20002-2-200000000−2i2i−2i2i0000000000000000000001−i−1+i1+i−1−i−22−i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i−2−222−i2−i2i2i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ4322-2-2−2i2i−2i2i0022002-2-2-22-2−2i2i−2i2i−2i2i−2i2i20002-2-200000000−2i2i−2i2i000000000000000000000−1+i1−i−1−i1+i2−2i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i22−2−2i2i2−i2−i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ4422-2-2−2i2i−2i2i0022002-2-2-22-2−2i2i−2i2i−2i2i−2i2i20002-2-200000000−2i2i−2i2i000000000000000000000−1+i1−i−1−i1+i−22−i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2−222−i2−i2i2i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ452-2-2222-2-22-2222-2-2-222-2-22222-2-2-2-222-22-2-22-2000022-222-2-2-22-22-2000000000000000000000000000000000000000000000000000000002-22-200
χ462-2-2222-2-22-2222-2-2-222-2-22222-2-2-2-222-22-2-22-2000022-222-2-2-22-22-200000000000000000000000000000000000000000000000000000000-22-2200
χ472-2-2222-2-2-2222-22-2-222-2-22222-2-2-2-22-22-2-2-2222i−2i2i−2i-2-2222-2-22-22-222i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ482-2-2222-2-2-2222-22-2-222-2-22222-2-2-2-22-22-2-2-222−2i2i−2i2i-2-2222-2-22-22-22−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ492-2-2222-2-2-222-1-22-2-22-11122-1-111-2-2-1-22111-1-12i−2i2i−2i-21-1-1-11121-11-1−ii−ii2i−2i2i−2i−i−iii−i−iii00000000−i3i3−i3i3−i3i3−i3i300000000000000003−33−30000000000
χ502-2-2222-2-2-222-1-22-2-22-11122-1-111-2-2-1-22111-1-12i−2i2i−2i-21-1-1-11121-11-1−ii−ii2i−2i2i−2i−i−iii−i−iii00000000i3−i3i3−i3i3−i3i3−i30000000000000000−33−330000000000
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χ522-2-2222-2-2-222-1-22-2-22-11122-1-111-2-2-1-22111-1-1−2i2i−2i2i-21-1-1-11121-11-1i−ii−i−2i2i−2i2iii−i−iii−i−i00000000i3−i3i3−i3i3−i3i3−i300000000000000003−33−30000000000
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χ552-2-2222-2-2-22-12-2211-12-2-2-1-122-2-211-11-1-211-12−2i2i−2i2i1-22-1-111-11-11-1−2i2i−2i2ii−ii−iii−i−iii−i−i0000000000000000−i3i3−i3i3−i3i3−i3i3000000000000−33−33000000
χ562-2-2222-2-2-22-12-2211-12-2-2-1-122-2-211-11-1-211-12−2i2i−2i2i1-22-1-111-11-11-1−2i2i−2i2ii−ii−iii−i−iii−i−i0000000000000000i3−i3i3−i3i3−i3i3−i30000000000003−33−3000000
χ572-2-22-2-2222-222-22-2-222-2-2-2-2-2-2222222-22-2-22-22-2-22-2-22-2-22222-2-222-2-222-2-2222-2-2-2-2220000000000000000000000000000000000000000000000
χ582-2-22-2-2222-222-22-2-222-2-2-2-2-2-2222222-22-2-22-2-222-2-2-22-2-22222-2-22-222-2-222-2-2-22222-2-20000000000000000000000000000000000000000000000
χ592-2-22-2-2222-22-1-22-2-22-111-2-211-1-122-12-2-111-112-2-22-21-111-1-12-111-1-111-12-2-22-1-11111-1-1000000003−33−3−33−330000000000000000−333−30000000000
χ602-2-22-2-2222-22-1-22-2-22-111-2-211-1-122-12-2-111-112-2-22-21-111-1-12-111-1-111-12-2-22-1-11111-1-100000000−33−333−33−300000000000000003−3−330000000000
χ612-2-22-2-2222-22-1-22-2-22-111-2-211-1-122-12-2-111-11-222-2-21-111-1-12-111-11-1-11-222-211-1-1-1-111000000003−33−3−33−3300000000000000003−3−330000000000
χ622-2-22-2-2222-22-1-22-2-22-111-2-211-1-122-12-2-111-11-222-2-21-111-1-12-111-11-1-11-222-211-1-1-1-11100000000−33−333−33−30000000000000000−333−30000000000
χ632-2-22-2-2222-2-12-2211-12-2-211-2-222-1-1-1-11211-1-22-2-221-2211-1-1-1-111-12-2-22-111-1-1-11111-1-10000000000000000−i3i3−i3i3i3−i3i3−i3000000000000−i3i3i3−i3000000
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χ652-2-22-2-2222-2-12-2211-12-2-211-2-222-1-1-1-11211-1-2-222-21-2211-1-1-1-111-1-222-21-1-1111-1-1-1-1110000000000000000−i3i3−i3i3i3−i3i3−i3000000000000i3−i3−i3i3000000
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χ682-2-22-2-222-22222-2-2-222-2-2-2-2-2-222222-22-2-2-222000022-2-2-222-2-222-200000000000000000000000000000000000000000000000000000000-222-200
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χ704444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-4-4-4-4-2-2-21111-2111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.