Finite Group Databasebeta

← Group #11784877

Character table — Group #11784877

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order1222223344446666661212121212121212344446666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212122222444466668888121212122424242424242424222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ91-11-11-11111-1-1-1-1-1-1111111-1-1-1-11ii−i−i1111-1-1-1-11-1-111-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-11-11-11-11-11-1i−ii−i1-11-1ii−i−iii−i−i11-1-1i−i
χ101-11-11-11111-1-1-1-1-1-1111111-1-1-1-11ii−i−i1111-1-1-1-11-1-111-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1-111-1-111-1-11i−i−ii1-1-11ii−i−i−i−iii-1-111−ii
χ111-11-11-11111-1-1-1-1-1-1111111-1-1-1-11ii−i−i1111-1-1-1-11-1-111-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-111-1-111-1-111-1−iii−i-111-1−i−iiiii−i−i-1-111−ii
χ121-11-11-11111-1-1-1-1-1-1111111-1-1-1-11ii−i−i1111-1-1-1-11-1-111-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11-11-11-11-11-11−ii−ii-11-11−i−iii−i−iii11-1-1i−i
χ131-11-11-11111-1-1-1-1-1-1111111-1-1-1-11−i−iii1111-1-1-1-11-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-11-11-11-11-11-1−ii−ii1-11-1−i−iii−i−iii11-1-1−ii
χ141-11-11-11111-1-1-1-1-1-1111111-1-1-1-11−i−iii1111-1-1-1-11-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1-111-1-111-1-11−iii−i1-1-11−i−iiiii−i−i-1-111i−i
χ151-11-11-11111-1-1-1-1-1-1111111-1-1-1-11−i−iii1111-1-1-1-11-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-111-1-111-1-111-1i−i−ii-111-1ii−i−i−i−iii-1-111i−i
χ161-11-11-11111-1-1-1-1-1-1111111-1-1-1-11−i−iii1111-1-1-1-11-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11-11-11-11-11-11i−ii−i-11-11ii−i−iii−i−i11-1-1−ii
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
χ192222222-1222222-1-12-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002200-1-1002200-1-10000-1-1-1-1000000
χ202222222-1222222-1-12-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2001100-2-2001100001111000000
χ212222222-1222222-1-12-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110022002200-1-100-2-200-1-100001111000000
χ222222222-1222222-1-12-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100-2-200-2-20011002200110000-1-1-1-1000000
χ23222222-122222-1-122-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1002200-1-100-1-1-1-10000000000
χ24222222-122222-1-122-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2001100-2-200110011110000000000
χ25222222-122222-1-122-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122002200-1-100-2-200-1-10011110000000000
χ26222222-122222-1-122-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-200-2-200110022001100-1-1-1-10000000000
χ272222-2-2222-22-222222222-2-222-2-220000-2-2-2-222-2-22-2-2-22-2222-2-222-2-200000000000000000000000000000000002200-2-20022000000-2-200000000000000
χ282222-2-2222-22-222222222-2-222-2-220000-2-2-2-222-2-22-2-2-22-2222-2-222-2-20000000000000000000000000000000000-2-2002200-2-20000002200000000000000
χ292222-2-222-22-22222222-2-222-2-22220000-2-2-2-222-2-22-2-22-22-2-2-222-2-222000000000000000000000000000000002200-2-20022000000-2-20000000000000000
χ302222-2-222-22-22222222-2-222-2-22220000-2-2-2-222-2-22-2-22-22-2-2-222-2-22200000000000000000000000000000000-2-2002200-2-2000000220000000000000000
χ312222-2-22-12-22-222-1-12-122112211-10000-2111-1-1-21-111-2-1-2-1-1-111-1-111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−3002200-2-200-1-10000001100003−33−3000000
χ322222-2-22-12-22-222-1-12-122112211-10000-2111-1-1-21-111-2-1-2-1-1-111-1-111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−300-2-200220011000000-1-10000−33−33000000
χ332222-2-22-12-22-222-1-12-122112211-10000-2111-1-1-21-111-2-1-2-1-1-111-1-1110000−3−333−3−3−3−333330000−3−333−3−3−3−33333002200-2-200-1-1000000110000−33−33000000
χ342222-2-22-12-22-222-1-12-122112211-10000-2111-1-1-21-111-2-1-2-1-1-111-1-1110000−3−333−3−3−3−333330000−3−333−3−3−3−3333300-2-200220011000000-1-100003−33−3000000
χ352222-2-2-12-22-22-1-122-1211221122-100001-211-1-11-2-111-1-2-1-211-1-111-1-133−3−3000033−3−333−3−333−3−3000033−3−333−3−32200-2-200-1-100000011003−33−30000000000
χ362222-2-2-12-22-22-1-122-1211221122-100001-211-1-11-2-111-1-2-1-211-1-111-1-133−3−3000033−3−333−3−333−3−3000033−3−333−3−3-2-200220011000000-1-100−33−330000000000
χ372222-2-2-12-22-22-1-122-1211221122-100001-211-1-11-2-111-1-2-1-211-1-111-1-1−3−3330000−3−333−3−333−3−3330000−3−333−3−3332200-2-200-1-10000001100−33−330000000000
χ382222-2-2-12-22-22-1-122-1211221122-100001-211-1-11-2-111-1-2-1-211-1-111-1-1−3−3330000−3−333−3−333−3−3330000−3−333−3−333-2-200220011000000-1-1003−33−30000000000
χ392-22-22-222-2-222-2-2-2-222-2-2-2-22222200002222-2-2-2-22-2-2-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000000000002-2-2200
χ402-22-22-222-2-222-2-2-2-222-2-2-2-22222200002222-2-2-2-22-2-2-2-222-2-2-2-22222000000000000000000000000000000000000000000000000000000000000-222-200
χ412-22-22-22-122-2-2-2-2112-122-1-1-2-211-12i2i−2i−2i2-1-1-111-21-1112-1-21-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii002-2002-200-11002i−2i00-110000−i−iii000000
χ422-22-22-22-122-2-2-2-2112-122-1-1-2-211-12i2i−2i−2i2-1-1-111-21-1112-1-21-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii00-2200-22001-100−2i2i001-10000ii−i−i000000
χ432-22-22-22-122-2-2-2-2112-122-1-1-2-211-1−2i−2i2i2i2-1-1-111-21-1112-1-21-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i002-2002-200-1100−2i2i00-110000ii−i−i000000
χ442-22-22-22-122-2-2-2-2112-122-1-1-2-211-1−2i−2i2i2i2-1-1-111-21-1112-1-21-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00-2200-22001-1002i−2i001-10000−i−iii000000
χ452-22-22-2-1222-2-211-2-2-12-1-12211-2-2-12i2i−2i−2i-12-1-1111-2-111-121-2-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii2-2002-200-11002i−2i00-1100−i−iii0000000000
χ462-22-22-2-1222-2-211-2-2-12-1-12211-2-2-12i2i−2i−2i-12-1-1111-2-111-121-2-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii-2200-22001-100−2i2i001-100ii−i−i0000000000
χ472-22-22-2-1222-2-211-2-2-12-1-12211-2-2-1−2i−2i2i2i-12-1-1111-2-111-121-2-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i2-2002-200-1100−2i2i00-1100ii−i−i0000000000
χ482-22-22-2-1222-2-211-2-2-12-1-12211-2-2-1−2i−2i2i2i-12-1-1111-2-111-121-2-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i-2200-22001-1002i−2i001-100−i−iii0000000000
χ492-22-2-22222-2-22-2-2-2-22222-2-2-2-22220000-2-2-2-2-2-222222-222-222-2-2-2-22200000000000000000000000000000000002-200-22002-2000000-2200000000000000
χ502-22-2-22222-2-22-2-2-2-22222-2-2-2-22220000-2-2-2-2-2-222222-222-222-2-2-2-2220000000000000000000000000000000000-22002-200-220000002-200000000000000
χ512-22-2-2222-222-2-2-2-2-222-2-22222-2-220000-2-2-2-2-2-2222222-2-22-2-22222-2-2000000000000000000000000000000002-200-22002-2000000-220000000000000000
χ522-22-2-2222-222-2-2-2-2-222-2-22222-2-220000-2-2-2-2-2-2222222-2-22-2-22222-2-200000000000000000000000000000000-22002-200-220000002-20000000000000000
χ532-22-2-222-12-2-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-2-121-1-11111-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3002-200-2200-110000001-10000−i3i3i3−i3000000
χ542-22-2-222-12-2-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-2-121-1-11111-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300-22002-2001-1000000-110000i3−i3−i3i3000000
χ552-22-2-222-12-2-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-2-121-1-11111-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3002-200-2200-110000001-10000i3−i3−i3i3000000
χ562-22-2-222-12-2-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-2-121-1-11111-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300-22002-2001-1000000-110000−i3i3i3−i3000000
χ572-22-2-22-12-222-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-1-21211-1-1-1-111−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i32-200-2200-110000001-100−i3i3i3−i30000000000
χ582-22-2-22-12-222-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-1-21211-1-1-1-111−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3-22002-2001-1000000-1100i3−i3−i3i30000000000
χ592-22-2-22-12-222-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-1-21211-1-1-1-111i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i32-200-2200-110000001-100i3−i3−i3i30000000000
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χ64444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-21111-2-2111-2-2-2-21111111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-22222222210000-2-21111-2-21112222-1-1-1-1-1-1-1-10000000033-3-3-3-3330000000033-3-3-3-3330000000000000000000000000000000000
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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χ684444-4-4-244-44-4-2-244-24-2-2-4-4-2-2-4-4-200002-422-2-22-4-2222424-2-222-2-222000000000000000000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-2-2-222-2-2221000022-1-111221-1-12-22-211-1-111-1-100002323−23−23−3−3−3−3333300002323−23−23−3−3−3−333330000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-2-2-222-2-2221000022-1-111221-1-12-22-211-1-111-1-10000−23−2323233333−3−3−3−30000−23−2323233333−3−3−3−30000000000000000000000000000000000
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χ1104-4-4400-2400002-2-442-423−2300−232300-2-222-200002-200200000023−2300−2323001+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
χ1114-4-4400-2400002-2-442-4−23230023−2300-22-2-2200002-2002000000−23230023−2300−1+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
χ1124-4-4400-2400002-2-442-4−23230023−2300-2-222-200002-2002000000−23230023−23001−3−1+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
χ1134-4-4400-2-200002-22-22223−2323−23−2323−232312-2-22003-3-1100-1-330000−33−333−33−3−1−31+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
χ1144-4-4400-2-200002-22-22223−2323−23−2323−23231-222-2003-3-1100-1-330000−33−333−33−31+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
χ1154-4-4400-2-200002-22-22223−23−2323−232323−2312-2-2200-33-1100-13-30000−333−33−3−33−1−31+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
χ1164-4-4400-2-200002-22-22223−23−2323−232323−231-222-200-33-1100-13-30000−333−33−3−331+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
χ1174-4-4400-2-200002-22-222−232323−2323−23−232312-2-2200-33-1100-13-300003−3−33−333−3−1+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
χ1184-4-4400-2-200002-22-222−232323−2323−23−23231-222-200-33-1100-13-300003−3−33−333−31−3−1+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
χ1194-4-4400-2-200002-22-222−2323−232323−2323−2312-2-22003-3-1100-1-3300003−33−3−33−33−1+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
χ1204-4-4400-2-200002-22-222−2323−232323−2323−231-222-2003-3-1100-1-3300003−33−3−33−331−3−1+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

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