Finite Group Databasebeta

← Group #11787073

Character table — Group #11787073

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order122222222233666666666666663444466666666666666666666666121212121212121212121212121212121212121212121212121212121212121244444444444412121212121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1
χ91-1-111-1-111-11111-1-1-1-11111-1-1-1-11ii−i−i1111-1-1-1-11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−ii−ii−i1-11-1i−i11-1-1i−i11-1-1i−ii−i1-11-1i−i
χ101-1-111-1-111-11111-1-1-1-11111-1-1-1-11ii−i−i1111-1-1-1-11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−i−iii−i−ii1-1-11i−i11-1-1−ii-1-111i−i−ii-11-11−ii
χ111-1-111-1-111-11111-1-1-1-11111-1-1-1-11ii−i−i1111-1-1-1-11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−iii−i−iii−i-111-1−ii-1-111i−i11-1-1−iii−i-11-11−ii
χ121-1-111-1-111-11111-1-1-1-11111-1-1-1-11ii−i−i1111-1-1-1-11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii−ii−ii-11-11−ii-1-111−ii-1-111−ii−ii1-11-1i−i
χ131-1-111-1-111-11111-1-1-1-11111-1-1-1-11−i−iii1111-1-1-1-11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−ii−ii−ii−i-11-11i−i-1-111i−i-1-111i−ii−i1-11-1−ii
χ141-1-111-1-111-11111-1-1-1-11111-1-1-1-11−i−iii1111-1-1-1-11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−i−iii−i−ii-111-1i−i-1-111−ii11-1-1i−i−ii-11-11i−i
χ151-1-111-1-111-11111-1-1-1-11111-1-1-1-11−i−iii1111-1-1-1-11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−iii−i−iii−i1-1-11−ii11-1-1i−i-1-111−iii−i-11-11i−i
χ161-1-111-1-111-11111-1-1-1-11111-1-1-1-11−i−iii1111-1-1-1-11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−ii−ii1-11-1−ii11-1-1−ii11-1-1−ii−ii1-11-1−ii
χ1722222222222-12-122-1-122-1-12-12-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220022000000-1-1-1-1-1-100-1-1000000
χ1822222222222-12-122-1-122-1-12-12-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200-2-20000001111110011000000
χ1922222222222-12-122-1-122-1-12-12-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111111111110022002200-2-2000000-1-1111100-1-1000000
χ2022222222222-12-122-1-122-1-12-12-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111111111111100-2-200-2-2002200000011-1-1-1-10011000000
χ212222222222-12-12-1-122-1-122-12-12-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220022002200-1-1-1-1-1-1000000-1-100000000
χ222222222222-12-12-1-122-1-122-12-12-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2001111110000001100000000
χ232222222222-12-12-1-122-1-122-12-12-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-2111111111111111122002200-2-200-1-11111000000-1-100000000
χ242222222222-12-12-1-122-1-122-12-12-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-21111111111111111-2-200-2-200220011-1-1-1-10000001100000000
χ2522222-2-2-2-222222-2-2-2-2-2-2-2-22222200002-22-22-22-2222-2-2-2-2222-2-2-2-2200000000000000000000000000000000000000000000000000000000000022-2-200
χ2622222-2-2-2-222222-2-2-2-2-2-2-2-22222200002-22-22-22-2222-2-2-2-2222-2-2-2-22000000000000000000000000000000000000000000000000000000000000-2-22200
χ272222-22-22-2-2222222-2-222-2-2222220000-2-2-22-2-2-222-2-222-2-22-2-222-2-22000000000000000000000000000000002200-2-2000000220000000000-2-200000000
χ282222-22-22-2-2222222-2-222-2-2222220000-2-2-22-2-2-222-2-222-2-22-2-222-2-2200000000000000000000000000000000-2-20022000000-2-200000000002200000000
χ292222-22-22-2-2-12-12-1-1-2-2-1-1-2-2-12-12-1000011-2211-22-111-1-111-111-1-111-1−i3−i3i3i30000−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32200-2-2000000-1-1−i3i3−i3i30000001100000000
χ302222-22-22-2-2-12-12-1-1-2-2-1-1-2-2-12-12-1000011-2211-22-111-1-111-111-1-111-1−i3−i3i3i30000−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2002200000011i3−i3i3−i3000000-1-100000000
χ312222-22-22-2-2-12-12-1-1-2-2-1-1-2-2-12-12-1000011-2211-22-111-1-111-111-1-111-1i3i3−i3−i30000i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32200-2-2000000-1-1i3−i3i3−i30000001100000000
χ322222-22-22-2-2-12-12-1-1-2-2-1-1-2-2-12-12-1000011-2211-22-111-1-111-111-1-111-1i3i3−i3−i30000i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2002200000011−i3i3−i3i3000000-1-100000000
χ332222-2-22-22-22222-2-222-2-222222220000-22-2-2-22-2-22-2-2-2-2222-2-2-2-222200000000000000000000000000000000002200-2-2000000000022000000-2-2000000
χ342222-2-22-22-22222-2-222-2-222222220000-22-2-2-22-2-22-2-2-2-2222-2-2-2-22220000000000000000000000000000000000-2-200220000000000-2-200000022000000
χ352222-2-22-22-22-12-1-2-2-1-1-2-2-1-12-12-1-10000-2211-2211-11111-1-1-11111-1-1-10000−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002200-2-20000000000-1-1−i3i3−i3i30011000000
χ362222-2-22-22-22-12-1-2-2-1-1-2-2-1-12-12-1-10000-2211-2211-11111-1-1-11111-1-1-10000−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-2-20022000000000011i3−i3i3−i300-1-1000000
χ372222-2-22-22-22-12-1-2-2-1-1-2-2-1-12-12-1-10000-2211-2211-11111-1-1-11111-1-1-10000i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002200-2-20000000000-1-1i3−i3i3−i30011000000
χ382222-2-22-22-22-12-1-2-2-1-1-2-2-1-12-12-1-10000-2211-2211-11111-1-1-11111-1-1-10000i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-2-20022000000000011−i3i3−i3i300-1-1000000
χ392-2-22222-2-2-222222222-2-2-2-2-2-2-2-2200002-22-2-22-22222-2-2-2-2-2-2-22222-20000000000000000000000000000000000000000000000000000000000002-2-2200
χ402-2-22222-2-2-222222222-2-2-2-2-2-2-2-2200002-22-2-22-22222-2-2-2-2-2-2-22222-2000000000000000000000000000000000000000000000000000000000000-222-200
χ412-2-222-2-222-22-12-1-2-21122-1-1-21-21-12i2i−2i−2i22-1-1-2-211-1-1-1-1-1-1-1111111112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−i−i−i−i−i−i−i−iiiiiiiii002i−2i002i−2i002-2000000−ii-1-11100−ii000000
χ422-2-222-2-222-22-12-1-2-21122-1-1-21-21-12i2i−2i−2i22-1-1-2-211-1-1-1-1-1-1-1111111112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−i−i−i−i−i−i−i−iiiiiiiii00−2i2i00−2i2i00-22000000i−i11-1-100i−i000000
χ432-2-222-2-222-22-12-1-2-21122-1-1-21-21-1−2i−2i2i2i22-1-1-2-211-1-1-1-1-1-1-111111111−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i002i−2i002i−2i00-22000000−ii11-1-100−ii000000
χ442-2-222-2-222-22-12-1-2-21122-1-1-21-21-1−2i−2i2i2i22-1-1-2-211-1-1-1-1-1-1-111111111−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i00−2i2i00−2i2i002-2000000i−i-1-11100i−i000000
χ452-2-222-2-222-2-12-1211-2-2-1-1221-21-2-12i2i−2i−2i-1-12211-2-2-1-1-1-1-1-1-111111111−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii2i−2i002i−2i002-200−ii-1-111000000−ii00000000
χ462-2-222-2-222-2-12-1211-2-2-1-1221-21-2-12i2i−2i−2i-1-12211-2-2-1-1-1-1-1-1-111111111−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii−2i2i00−2i2i00-2200i−i11-1-1000000i−i00000000
χ472-2-222-2-222-2-12-1211-2-2-1-1221-21-2-1−2i−2i2i2i-1-12211-2-2-1-1-1-1-1-1-111111111iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i2i−2i002i−2i00-2200−ii11-1-1000000−ii00000000
χ482-2-222-2-222-2-12-1211-2-2-1-1221-21-2-1−2i−2i2i2i-1-12211-2-2-1-1-1-1-1-1-111111111iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i−2i2i00−2i2i002-200i−i-1-111000000i−i00000000
χ492-2-22-22-2-222222222-2-2-2-222-2-2-2-220000-22-2-22-2222-2-2-2-222-22222-2-2-200000000000000000000000000000000002i−2i00−2i2i00000000002i−2i000000−2i2i000000
χ502-2-22-22-2-222222222-2-2-2-222-2-2-2-220000-22-2-22-2222-2-2-2-222-22222-2-2-20000000000000000000000000000000000−2i2i002i−2i0000000000−2i2i0000002i−2i000000
χ512-2-22-22-2-2222-12-12211-2-2-1-1-21-21-10000-22112-2-1-1-11111-1-11-1-1-1-1111000033−3−30000−3−33333−3−333−3−3−3−333−3−333002i−2i00−2i2i0000000000−ii−i3i3i3−i300i−i000000
χ522-2-22-22-2-2222-12-12211-2-2-1-1-21-21-10000-22112-2-1-1-11111-1-11-1-1-1-1111000033−3−30000−3−33333−3−333−3−3−3−333−3−33300−2i2i002i−2i0000000000i−ii3−i3−i3i300−ii000000
χ532-2-22-22-2-2222-12-12211-2-2-1-1-21-21-10000-22112-2-1-1-11111-1-11-1-1-1-11110000−3−333000033−3−3−3−333−3−33333−3−333−3−3002i−2i00−2i2i0000000000−iii3−i3−i3i300i−i000000
χ542-2-22-22-2-2222-12-12211-2-2-1-1-21-21-10000-22112-2-1-1-11111-1-11-1-1-1-11110000−3−333000033−3−3−3−333−3−33333−3−333−3−300−2i2i002i−2i0000000000i−i−i3i3i3−i300−ii000000
χ552-2-22-2-222-222222-2-22222-2-2-2-2-2-220000-2-2-22222-22-2-222-2-2-222-2-222-2000000000000000000000000000000002i−2i00−2i2i0000002i−2i0000000000−2i2i00000000
χ562-2-22-2-222-222222-2-22222-2-2-2-2-2-220000-2-2-22222-22-2-222-2-2-222-2-222-200000000000000000000000000000000−2i2i002i−2i000000−2i2i00000000002i−2i00000000
χ572-2-22-2-222-22-12-121122-1-1-2-21-21-2-1000011-22-1-12-2-111-1-1111-1-111-1-1133−3−30000−3−33300003333−3−3−3−3−3−3−3−333332i−2i00−2i2i000000−ii−i3i3i3−i3000000i−i00000000
χ582-2-22-2-222-22-12-121122-1-1-2-21-21-2-1000011-22-1-12-2-111-1-1111-1-111-1-1133−3−30000−3−33300003333−3−3−3−3−3−3−3−33333−2i2i002i−2i000000i−ii3−i3−i3i3000000−ii00000000
χ592-2-22-2-222-22-12-121122-1-1-2-21-21-2-1000011-22-1-12-2-111-1-1111-1-111-1-11−3−333000033−3−30000−3−3−3−333333333−3−3−3−32i−2i00−2i2i000000−iii3−i3−i3i3000000i−i00000000
χ602-2-22-2-222-22-12-121122-1-1-2-21-21-2-1000011-22-1-12-2-111-1-1111-1-111-1-11−3−333000033−3−30000−3−3−3−333333333−3−3−3−3−2i2i002i−2i000000i−i−i3i3i3−i3000000−ii00000000
χ614444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-2111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-21111111111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
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χ6444444-4-4-4-44-24-2422-4-422-4-4-24-24-20000-224-4-224-4-2-2-22222-2-2-22222-2000000000000000000000000000000000000000000000000000000000000000000
χ6544444-4-4-4-44-2-2-2-222222222-2-2-2-210000-22-22-22-22111-1-1-1-1111-1-1-1-11000000000000000033-3-3-3-33333-3-3-3-3330000000000000000000000000000000000
χ6644444-4-4-4-44-2-2-2-222222222-2-2-2-210000-22-22-22-22111-1-1-1-1111-1-1-1-110000000000000000-3-33333-3-3-3-33333-3-30000000000000000000000000000000000
χ674444-44-44-4-44-24-2442244224-24-2-20000-4-42-2-4-42-2-222-2-222-222-2-222-2000000000000000000000000000000000000000000000000000000000000000000
χ684444-44-44-4-4-2-2-2-2-2-222-2-222-2-2-2-210000222-2222-21-1-111-1-11-1-111-1-11−2i3−2i32i32i30000−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.