Finite Group Databasebeta

← Group #11787744

Character table — Group #11787744

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order122222334444666666121212121212121234444666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212224444446688881212121212122424242424242424444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1
χ91-11-11-1111-11-1-1-11-1-11-1-11111-1-11ii−i−i1111-1-1-1-11-1-11-11-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i1-1i−i1-1i−i1-1ii−i−i1-1ii−i−i11-1-1ii−i−i1-1
χ101-11-11-1111-11-1-1-11-1-11-1-11111-1-11ii−i−i1111-1-1-1-11-1-11-11-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1−ii1-1−ii1-1i−i-11−i−iii1-1ii−i−i-1-111−i−iii-11
χ111-11-11-1111-11-1-1-11-1-11-1-11111-1-11ii−i−i1111-1-1-1-11-1-11-11-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11i−i-11i−i-11−ii1-1ii−i−i-11−i−iii11-1-1−i−iii-11
χ121-11-11-1111-11-1-1-11-1-11-1-11111-1-11ii−i−i1111-1-1-1-11-1-11-11-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-11−ii-11−ii-11−i−iii-11−i−iii-1-111ii−i−i1-1
χ131-11-11-1111-11-1-1-11-1-11-1-11111-1-11−i−iii1111-1-1-1-11-1-11-11-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1i−i1-1i−i1-1−ii-11ii−i−i1-1−i−iii-1-111ii−i−i-11
χ141-11-11-1111-11-1-1-11-1-11-1-11111-1-11−i−iii1111-1-1-1-11-1-11-11-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−ii1-1−ii1-1−ii1-1−i−iii1-1−i−iii11-1-1−i−iii1-1
χ151-11-11-1111-11-1-1-11-1-11-1-11111-1-11−i−iii1111-1-1-1-11-1-11-11-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11i−i-11i−i-11i−i-11ii−i−i-11ii−i−i-1-111−i−iii1-1
χ161-11-11-1111-11-1-1-11-1-11-1-11111-1-11−i−iii1111-1-1-1-11-1-11-11-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11−ii-11−ii-11i−i1-1−i−iii-11ii−i−i11-1-1ii−i−i-11
χ1722222222-2-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-200
χ1822222222-2-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-22-2200
χ192222222-12222-1-1222-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-122000000-1-1-1-1-1-10000000000
χ202222222-12222-1-1222-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011-2-20000001111110000000000
χ212222222-12222-1-1222-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122002200-1-1-2-2000000-1-111110000000000
χ222222222-12222-1-1222-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-200-2-200112200000011-1-1-1-10000000000
χ23222222-12222222-1-1-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100220022000022-1-1-1-1000000-1-1-1-1000000
χ24222222-12222222-1-1-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2-20000-2-211110000001111000000
χ25222222-12222222-1-1-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111002200220000-2-2-1-1-1-10000001111000000
χ26222222-12222222-1-1-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100-2-200-2-20000221111000000-1-1-1-1000000
χ272222-2-2222-2-22222222-2-222-2-22220000-2-2-2-222-2-22-2-222-2-222-2-222-2-200000000000000000000000000000000002200-2-20000002-22-20000000000000000
χ282222-2-2222-2-22222222-2-222-2-22220000-2-2-2-222-2-22-2-222-2-222-2-222-2-20000000000000000000000000000000000-2-20022000000-22-220000000000000000
χ292222-2-222-222-222222222-2-222-2-220000-2-2-2-222-2-22-2-2-2-222-2-222-2-222000000000000000000000000000000002200-2-2002200000000-2-200000000000000
χ302222-2-222-222-222222222-2-222-2-220000-2-2-2-222-2-22-2-2-2-222-2-222-2-22200000000000000000000000000000000-2-2002200-2-2000000002200000000000000
χ312222-2-22-1-222-2-1-1222-122112211-10000-2111-1-1-21-111-2-2-1-111-1-111-1-1000033−3−33333−3−3−3−3000033−3−33333−3−3−3−32200-2-200-1-100000000113−33−30000000000
χ322222-2-22-1-222-2-1-1222-122112211-10000-2111-1-1-21-111-2-2-1-111-1-111-1-1000033−3−33333−3−3−3−3000033−3−33333−3−3−3−3-2-20022001100000000-1-1−33−330000000000
χ332222-2-22-1-222-2-1-1222-122112211-10000-2111-1-1-21-111-2-2-1-111-1-111-1-10000−3−333−3−3−3−333330000−3−333−3−3−3−333332200-2-200-1-10000000011−33−330000000000
χ342222-2-22-1-222-2-1-1222-122112211-10000-2111-1-1-21-111-2-2-1-111-1-111-1-10000−3−333−3−3−3−333330000−3−333−3−3−3−33333-2-20022001100000000-1-13−33−30000000000
χ352222-2-2-122-2-2222-1-1-1211221122-100001-211-1-11-2-111-1-1-2-2-1-111-1-11133−3−3000033−3−333−3−333−3−3000033−3−333−3−3002200-2-2000000-11-110000003−33−3000000
χ362222-2-2-122-2-2222-1-1-1211221122-100001-211-1-11-2-111-1-1-2-2-1-111-1-11133−3−3000033−3−333−3−333−3−3000033−3−333−3−300-2-200220000001-11-1000000−33−33000000
χ372222-2-2-122-2-2222-1-1-1211221122-100001-211-1-11-2-111-1-1-2-2-1-111-1-111−3−3330000−3−333−3−333−3−3330000−3−333−3−333002200-2-2000000-11-11000000−33−33000000
χ382222-2-2-122-2-2222-1-1-1211221122-100001-211-1-11-2-111-1-1-2-2-1-111-1-111−3−3330000−3−333−3−333−3−3330000−3−333−3−33300-2-200220000001-11-10000003−33−3000000
χ392-22-22-222-22-22-2-22-2-2222-2-2-2-222200002222-2-2-2-22-2-2-22-22-2-2-2-222220000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ402-22-22-222-22-22-2-22-2-2222-2-2-2-222200002222-2-2-2-22-2-2-22-22-2-2-2-22222000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ412-22-22-22-12-22-2112-2-2-1-2-2-1-12211-12i2i−2i−2i2-1-1-111-21-1112-2-11-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii2-2002-200-112i−2i000000-11−i−iii0000000000
χ422-22-22-22-12-22-2112-2-2-1-2-2-1-12211-12i2i−2i−2i2-1-1-111-21-1112-2-11-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii-2200-22001-1−2i2i0000001-1ii−i−i0000000000
χ432-22-22-22-12-22-2112-2-2-1-2-2-1-12211-1−2i−2i2i2i2-1-1-111-21-1112-2-11-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i2-2002-200-11−2i2i000000-11ii−i−i0000000000
χ442-22-22-22-12-22-2112-2-2-1-2-2-1-12211-1−2i−2i2i2i2-1-1-111-21-1112-2-11-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i-2200-22001-12i−2i0000001-1−i−iii0000000000
χ452-22-22-2-122-22-2-2-2-11121122-1-1-2-2-12i2i−2i−2i-12-1-1111-2-111-112-2-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii002i−2i002i−2i00002-2−i−iii000000-1-111000000
χ462-22-22-2-122-22-2-2-2-11121122-1-1-2-2-12i2i−2i−2i-12-1-1111-2-111-112-2-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii00−2i2i00−2i2i0000-22ii−i−i00000011-1-1000000
χ472-22-22-2-122-22-2-2-2-11121122-1-1-2-2-1−2i−2i2i2i-12-1-1111-2-111-112-2-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i002i−2i002i−2i0000-22−i−iii00000011-1-1000000
χ482-22-22-2-122-22-2-2-2-11121122-1-1-2-2-1−2i−2i2i2i-12-1-1111-2-111-112-2-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i00−2i2i00−2i2i00002-2ii−i−i000000-1-111000000
χ492-22-2-222222-2-2-2-22-2-222222-2-2-2-220000-2-2-2-2-2-2222222-2-2222-2-2-2-22200000000000000000000000000000000002i−2i00−2i2i0000002i−2i−2i2i0000000000000000
χ502-22-2-222222-2-2-2-22-2-222222-2-2-2-220000-2-2-2-2-2-2222222-2-2222-2-2-2-2220000000000000000000000000000000000−2i2i002i−2i000000−2i2i2i−2i0000000000000000
χ512-22-2-2222-2-222-2-22-2-22-2-2-2-2222220000-2-2-2-2-2-222222-222-2-2-22222-2-2000000000000000000000000000000002-200-22002-200000000-2200000000000000
χ522-22-2-2222-2-222-2-22-2-22-2-2-2-2222220000-2-2-2-2-2-222222-222-2-2-22222-2-200000000000000000000000000000000-22002-200-22000000002-200000000000000
χ532-22-2-222-1-2-222112-2-2-1-2-21122-1-1-10000-2111112-1-1-1-1-22-1111-1-1-1-1110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-200-2200-11000000001-1−i3i3i3−i30000000000
χ542-22-2-222-1-2-222112-2-2-1-2-21122-1-1-10000-2111112-1-1-1-1-22-1111-1-1-1-1110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22002-2001-100000000-11i3−i3−i3i30000000000
χ552-22-2-222-1-2-222112-2-2-1-2-21122-1-1-10000-2111112-1-1-1-1-22-1111-1-1-1-1110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32-200-2200-11000000001-1i3−i3−i3i30000000000
χ562-22-2-222-1-2-222112-2-2-1-2-21122-1-1-10000-2111112-1-1-1-1-22-1111-1-1-1-1110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-22002-2001-100000000-11−i3i3i3−i30000000000
χ572-22-2-22-1222-2-2-2-2-1112-1-12211-2-2-100001-21111-12-1-1-1-11-22-1-11111-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3002i−2i00−2i2i000000−iii−i000000−333−3000000
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χ602-22-2-22-1222-2-2-2-2-1112-1-12211-2-2-100001-21111-12-1-1-1-11-22-1-11111-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300−2i2i002i−2i000000i−i−ii000000−333−3000000
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χ66444444-2-2-4-4-4-4-2-2-2-2-2-22222222210000-2-21111-2-21112222-1-1-1-1-1-1-1-100000000-3-33333-3-300000000-3-33333-3-30000000000000000000000000000000000
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χ694444-4-4-2-24-4-44-2-2-2-2-2-222-2-222-2-21000022-1-111221-1-1-2-22211-1-111-1-12323−23−230000−3−333−3−3332323−23−230000−3−333−3−3330000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-222-2-222-2-21000022-1-111221-1-1-2-22211-1-111-1-1−23−232323000033−3−333−3−3−23−232323000033−3−333−3−30000000000000000000000000000000000
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χ1104-4-4400-240000-4422-2-423−2300−232300-2-222-200002-200200000000−23230023−231−3−1+31+3−1−3-22-221−3−1+31+3−1−31−3−1+31+3−1−3−1+31−3−1−31+32-22-2−1+31−3−1−31+3−1+31−3−1−31+30000000000000000000000000000000000
χ1114-4-4400-240000-4422-2-4−23230023−2300-22-2-2200002-20020000000023−2300−2323−1−31+3−1+31−32-22-2−1−31+3−1+31−3−1−31+3−1+31−31+3−1−31−3−1+3-22-221+3−1−31−3−1+31+3−1−31−3−1+30000000000000000000000000000000000
χ1124-4-4400-240000-4422-2-4−23230023−2300-2-222-200002-20020000000023−2300−23231+3−1−31−3−1+3-22-221+3−1−31−3−1+31+3−1−31−3−1+3−1−31+3−1+31−32-22-2−1−31+3−1+31−3−1−31+3−1+31−30000000000000000000000000000000000
χ1134-4-4400-2-200002-222-2223−2323−23−2323−232312-2-2200-33-1100-13-30000−333−33−3−33−1+31−3−1−31+3−1−31+3−1+31−3-112+3−2−32−3−2+3-111−3−1+31+3−1−31+3−1−31−3−1+31-1−2−32+3−2+32−31-10000000000000000000000000000000000
χ1144-4-4400-2-200002-222-2223−2323−23−2323−23231-222-200-33-1100-13-30000−333−33−3−331−3−1+31+3−1−31+3−1−31−3−1+31-1−2−32+3−2+32−31-1−1+31−3−1−31+3−1−31+3−1+31−3-112+3−2−32−3−2+3-110000000000000000000000000000000000
χ1154-4-4400-2-200002-222-2223−23−2323−232323−2312-2-22003-3-1100-1-3300003−33−3−33−33−1+31−3−1−31+3−1+31−3−1−31+32−3−2+3-11-112+3−2−31−3−1+31+3−1−31−3−1+31+3−1−3−2+32−31-11-1−2−32+30000000000000000000000000000000000
χ1164-4-4400-2-200002-222-2223−23−2323−232323−231-222-2003-3-1100-1-3300003−33−3−33−331−3−1+31+3−1−31−3−1+31+3−1−3−2+32−31-11-1−2−32+3−1+31−3−1−31+3−1+31−3−1−31+32−3−2+3-11-112+3−2−30000000000000000000000000000000000
χ1174-4-4400-2-200002-222-22−232323−2323−23−232312-2-22003-3-1100-1-330000−33−333−33−3−1−31+3−1+31−3−1−31+3−1+31−32+3−2−3-11-112−3−2+31+3−1−31−3−1+31+3−1−31−3−1+3−2−32+31-11-1−2+32−30000000000000000000000000000000000
χ1184-4-4400-2-200002-222-22−232323−2323−23−23231-222-2003-3-1100-1-330000−33−333−33−31+3−1−31−3−1+31+3−1−31−3−1+3−2−32+31-11-1−2+32−3−1−31+3−1+31−3−1−31+3−1+31−32+3−2−3-11-112−3−2+30000000000000000000000000000000000
χ1194-4-4400-2-200002-222-22−2323−232323−2323−2312-2-2200-33-1100-13-300003−3−33−333−3−1−31+3−1+31−3−1+31−3−1−31+3-112−3−2+32+3−2−3-111+3−1−31−3−1+31−3−1+31+3−1−31-1−2+32−3−2−32+31-10000000000000000000000000000000000
χ1204-4-4400-2-200002-222-22−2323−232323−2323−231-222-200-33-1100-13-300003−3−33−333−31+3−1−31−3−1+31−3−1+31+3−1−31-1−2+32−3−2−32+31-1−1−31+3−1+31−3−1+31−3−1−31+3-112−3−2+32+3−2−3-110000000000000000000000000000000000

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