Finite Group Databasebeta

← Group #11792253

Character table — Group #11792253

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order1222223344446666661212121212121212344446666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212122244666688881212121224242424242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ922222222-2-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000002-2
χ1022222222-2-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000-22
χ112222222-1222222-1-12-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200-1-1002200-1-10000-1-1-1-10000
χ122222222-1222222-1-12-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-20-2001100-2-20011000011110000
χ132222222-1222222-1-12-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111020200-1-100-2-200-1-1000011110000
χ142222222-1222222-1-12-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110-20-20011002200110000-1-1-1-10000
χ15222222-122222-1-122-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12020-1-1002200-1-100-1-1-1-100000000
χ16222222-122222-1-122-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20-201100-2-2001100111100000000
χ17222222-122222-1-122-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111112020-1-100-2-200-1-100111100000000
χ18222222-122222-1-122-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-20-20110022001100-1-1-1-100000000
χ192222-2-2222-22-222222222-2-222-2-220000-2-222-2-2-2-22-2-2-2-2222222-2-2-2-200000000000000000000000000000000020-20022000000-2-2000000000000
χ202222-2-2222-22-222222222-2-222-2-220000-2-222-2-2-2-22-2-2-2-2222222-2-2-2-2000000000000000000000000000000000-20200-2-200000022000000000000
χ212222-2-222-22-22222222-2-222-2-22220000-2-222-2-2-2-22-2-222-2-2-2-2-2-222220000000000000000000000000000000020-2022000000-2-200000000000000
χ222222-2-222-22-22222222-2-222-2-22220000-2-222-2-2-2-22-2-222-2-2-2-2-2-2222200000000000000000000000000000000-2020-2-20000002200000000000000
χ232222-2-22-12-22-222-1-12-122112211-10000-21-1-111-21-111-2-2-1-1-1-1-1-11111000000003333−3−3−3−333333333−3−3−3−3−3−3−3−3020-200-1-100000011000033−3−30000
χ242222-2-22-12-22-222-1-12-122112211-10000-21-1-111-21-111-2-2-1-1-1-1-1-11111000000003333−3−3−3−333333333−3−3−3−3−3−3−3−30-2020011000000-1-10000−3−3330000
χ252222-2-22-12-22-222-1-12-122112211-10000-21-1-111-21-111-2-2-1-1-1-1-1-1111100000000−3−3−3−33333−3−3−3−3−3−3−3−333333333020-200-1-1000000110000−3−3330000
χ262222-2-22-12-22-222-1-12-122112211-10000-21-1-111-21-111-2-2-1-1-1-1-1-1111100000000−3−3−3−33333−3−3−3−3−3−3−3−3333333330-2020011000000-1-1000033−3−30000
χ272222-2-2-12-22-22-1-122-1211221122-100001-2-1-1111-2-111-1-1-2-21111-1-1-1-13333−3−3−3−3000000003333−3−3−3−33333−3−3−3−320-20-1-1000000110033−3−300000000
χ282222-2-2-12-22-22-1-122-1211221122-100001-2-1-1111-2-111-1-1-2-21111-1-1-1-13333−3−3−3−3000000003333−3−3−3−33333−3−3−3−3-202011000000-1-100−3−33300000000
χ292222-2-2-12-22-22-1-122-1211221122-100001-2-1-1111-2-111-1-1-2-21111-1-1-1-1−3−3−3−3333300000000−3−3−3−33333−3−3−3−3333320-20-1-10000001100−3−33300000000
χ302222-2-2-12-22-22-1-122-1211221122-100001-2-1-1111-2-111-1-1-2-21111-1-1-1-1−3−3−3−3333300000000−3−3−3−33333−3−3−3−33333-202011000000-1-10033−3−300000000
χ312-22-22-22222-2-2-2-2-2-2222222-2-2-2-222i2i−2i−2i22-2-222-2-22-2-22-22-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ322-22-22-22222-2-2-2-2-2-2222222-2-2-2-22−2i−2i2i2i22-2-222-2-22-2-22-22-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ332-22-22-222-2-222-2-2-2-222-2-2-2-222222000022-2-222-2-22-2-2-22-22-2-222-2-222000000000000000000000000000000000000000000000000000000002-200
χ342-22-22-222-2-222-2-2-2-222-2-2-2-222222000022-2-222-2-22-2-2-22-22-2-222-2-22200000000000000000000000000000000000000000000000000000000-2200
χ352-22-22-22-122-2-2-2-2112-122-1-1-2-211-12i2i−2i−2i2-111-1-1-21-1112-2-11-1-111-1-1112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000−i3i3000000−i3i300003−33−30000
χ362-22-22-22-122-2-2-2-2112-122-1-1-2-211-12i2i−2i−2i2-111-1-1-21-1112-2-11-1-111-1-1112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000i3−i3000000i3−i30000−33−330000
χ372-22-22-22-122-2-2-2-2112-122-1-1-2-211-1−2i−2i2i2i2-111-1-1-21-1112-2-11-1-111-1-111−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000−i3i3000000−i3i30000−33−330000
χ382-22-22-22-122-2-2-2-2112-122-1-1-2-211-1−2i−2i2i2i2-111-1-1-21-1112-2-11-1-111-1-111−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000i3−i3000000i3−i300003−33−30000
χ392-22-22-2-1222-2-211-2-2-12-1-12211-2-2-12i2i−2i−2i-1211-1-11-2-111-112-2-1-111-1-111−i−iii−i−iii2i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii0000−i3i3000000−i3i3003−33−300000000
χ402-22-22-2-1222-2-211-2-2-12-1-12211-2-2-12i2i−2i−2i-1211-1-11-2-111-112-2-1-111-1-111−i−iii−i−iii2i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii0000i3−i3000000i3−i300−33−3300000000
χ412-22-22-2-1222-2-211-2-2-12-1-12211-2-2-1−2i−2i2i2i-1211-1-11-2-111-112-2-1-111-1-111ii−i−iii−i−i−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i0000−i3i3000000−i3i300−33−3300000000
χ422-22-22-2-1222-2-211-2-2-12-1-12211-2-2-1−2i−2i2i2i-1211-1-11-2-111-112-2-1-111-1-111ii−i−iii−i−i−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i0000i3−i3000000i3−i3003−33−300000000
χ432-22-2-22222-2-22-2-2-2-22222-2-2-2-22220000-2-2-2-2-2-222222-222-222-2-2-2-2220000000000000000000000000000000000000000002-2000000002-2-220000
χ442-22-2-22222-2-22-2-2-2-22222-2-2-2-22220000-2-2-2-2-2-222222-222-222-2-2-2-222000000000000000000000000000000000000000000-2200000000-222-20000
χ452-22-2-2222-222-2-2-2-2-222-2-22222-2-220000-2-2-2-2-2-2222222-2-22-2-22222-2-200000000000000000000000000000000000000002-20000002-2-2200000000
χ462-22-2-2222-222-2-2-2-2-222-2-22222-2-220000-2-2-2-2-2-2222222-2-22-2-22222-2-20000000000000000000000000000000000000000-22000000-222-200000000
χ472-22-2-222-12-2-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-22-11-1-11111-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000−i3i3002-200i3−i30000-111-10000
χ482-22-2-222-12-2-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-22-11-1-11111-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000i3−i300-2200−i3i300001-1-110000
χ492-22-2-222-12-2-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-22-11-1-11111-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000−i3i300-2200i3−i300001-1-110000
χ502-22-2-222-12-2-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-22-11-1-11111-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000i3−i3002-200−i3i30000-111-10000
χ512-22-2-22-12-222-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-11-2211-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000−i3i3002-200i3−i300-111-100000000
χ522-22-2-22-12-222-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-11-2211-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000i3−i300-2200−i3i3001-1-1100000000
χ532-22-2-22-12-222-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-11-2211-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000−i3i300-2200i3−i3001-1-1100000000
χ542-22-2-22-12-222-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-11-2211-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000i3−i3002-200−i3i300-111-100000000
χ554444444-2-4-4-4-444-2-24-2-4-422-4-422-200004-2-2-2-2-24-2-2-2-2-4-42222222222000000000000000000000000000000000000000000000000000000000000
χ56444444-24-4-4-4-4-2-244-2422-4-422-4-4-20000-24-2-2-2-2-24-2-2-222-4-422222222000000000000000000000000000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-21111-2-2111-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-21111-2-2111-2-2-2-2111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-22222222210000-2-21111-2-21112222-1-1-1-1-1-1-1-100000000000000003333-3-3-3-3-3-3-3-333330000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-22222222210000-2-21111-2-21112222-1-1-1-1-1-1-1-10000000000000000-3-3-3-333333333-3-3-3-30000000000000000000000000000
χ614444-4-44-2-44-4444-2-24-2-4-4-2-2-4-4-2-2-20000-42-2-222-42-22244222222-2-2-2-2000000000000000000000000000000000000000000000000000000000000
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χ634444-4-4-2-24-44-4-2-2-2-2-2-2-2-222-2-222100002211-1-1221-1-122-2-21111-1-1-1-10000000023232323−23−23−23−23−3−3−3−3−3−3−3−3333333330000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2-2-222-2-222100002211-1-1221-1-122-2-21111-1-1-1-100000000−23−23−23−232323232333333333−3−3−3−3−3−3−3−30000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-222-2-222-2-2100002211-1-1221-1-1-2-222-1-1-1-1111123232323−23−23−23−2300000000−3−3−3−33333−3−3−3−333330000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-222-2-222-2-2100002211-1-1221-1-1-2-222-1-1-1-11111−23−23−23−2323232323000000003333−3−3−3−33333−3−3−3−30000000000000000000000000000
χ6744-4-4004400004-44-4-4-40000000042i−2i2i−2i004-40000-4000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ6844-4-4004400004-44-4-4-4000000004−2i2i−2i2i004-40000-400000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
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χ1074-4-4400-2-200002-22-22223−2323−23−2323−232312-2-2200-113-300-1-330000−333−3−333−3−1−31+31+3−1−3−1+31−31−3−1+3−1−31+31+3−1−3−1+31−31−3−1+32+3−2−3−2−32+3-111-1-111-12−3−2+3−2+32−30000000000000000000000000000
χ1084-4-4400-2-200002-22-22223−2323−23−2323−23231-222-200-113-300-1-330000−333−3−333−31+3−1−3−1−31+31−3−1+3−1+31−31+3−1−3−1−31+31−3−1+3−1+31−3−2−32+32+3−2−31-1-111-1-11−2+32−32−3−2+30000000000000000000000000000
χ1094-4-4400-2-200002-22-22223−23−2323−232323−2312-2-2200-11-3300-13-30000−333−33−3−33−1−31+31+3−1−3−1+31−31−3−1+3−1+31−31−3−1+3−1−31+31+3−1−3-111-12−3−2+3−2+32−32+3−2−3−2−32+3-111-10000000000000000000000000000
χ1104-4-4400-2-200002-22-22223−23−2323−232323−231-222-200-11-3300-13-30000−333−33−3−331+3−1−3−1−31+31−3−1+3−1+31−31−3−1+3−1+31−31+3−1−3−1−31+31-1-11−2+32−32−3−2+3−2−32+32+3−2−31-1-110000000000000000000000000000
χ1114-4-4400-2-200002-22-222−232323−2323−23−232312-2-2200-11-3300-13-300003−3−33−333−3−1+31−31−3−1+3−1−31+31+3−1−3−1−31+31+3−1−3−1+31−31−3−1+3-111-12+3−2−3−2−32+32−3−2+3−2+32−3-111-10000000000000000000000000000
χ1124-4-4400-2-200002-22-222−232323−2323−23−23231-222-200-11-3300-13-300003−3−33−333−31−3−1+3−1+31−31+3−1−3−1−31+31+3−1−3−1−31+31−3−1+3−1+31−31-1-11−2−32+32+3−2−3−2+32−32−3−2+31-1-110000000000000000000000000000
χ1134-4-4400-2-200002-22-222−2323−232323−2323−2312-2-2200-113-300-1-3300003−3−333−3−33−1+31−31−3−1+3−1−31+31+3−1−3−1+31−31−3−1+3−1−31+31+3−1−32−3−2+3−2+32−3-111-1-111-12+3−2−3−2−32+30000000000000000000000000000
χ1144-4-4400-2-200002-22-222−2323−232323−2323−231-222-200-113-300-1-3300003−3−333−3−331−3−1+3−1+31−31+3−1−3−1−31+31−3−1+3−1+31−31+3−1−3−1−31+3−2+32−32−3−2+31-1-111-1-11−2−32+32+3−2−30000000000000000000000000000

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