Finite Group Databasebeta

← Group #11792285

Character table — Group #11792285

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order1222223344446666666666121212123444466666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212244444668812121212121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111-1-111
χ8111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1
χ922222222-2-2-2-22222222222-2-2-2-22000022222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000002-200000000022-2-2000000000000
χ1022222222-2-2-2-22222222222-2-2-2-22000022222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000-22000000000-2-222000000000000
χ112222222-12222222-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1200200-1-122-1-100000000-1-1-1-10000
χ122222222-12222222-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-20011-2-2110000000011110000
χ132222222-12222222-1-122-122-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1111111111111111111111111200200-1-1-2-2-1-10000000011110000
χ142222222-12222222-1-122-122-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1111111111111111111111111-200-20011221100000000-1-1-1-10000
χ15222222-122222-1-1-122-1-12-1-12222-122222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1022022000000-1-1-1-1-1-1-1-100000000
χ16222222-122222-1-1-122-1-12-1-12222-122222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-20000001111111100000000
χ17222222-122222-1-1-122-1-12-1-12222-1-2-2-2-22-1-1-1-12-1-1-11111111122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110220-2-2000000-1-1-1-1111100000000
χ18222222-122222-1-1-122-1-12-1-12222-1-2-2-2-22-1-1-1-12-1-1-11111111122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110-2-20220000001111-1-1-1-100000000
χ19222222-12-2-2-2-2-1-1-122-1-12-1-1-2-2-2-2-100002-1-1-1-12-1-1-1−i3−i3−i3−i3i3i3i3i3-2-211111111111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i302-2000000000-1-111−i3−i3i3i300000000
χ20222222-12-2-2-2-2-1-1-122-1-12-1-1-2-2-2-2-100002-1-1-1-12-1-1-1−i3−i3−i3−i3i3i3i3i3-2-211111111111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30-2200000000011-1-1i3i3−i3−i300000000
χ21222222-12-2-2-2-2-1-1-122-1-12-1-1-2-2-2-2-100002-1-1-1-12-1-1-1i3i3i3i3−i3−i3−i3−i3-2-211111111111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i302-2000000000-1-111i3i3−i3−i300000000
χ22222222-12-2-2-2-2-1-1-122-1-12-1-1-2-2-2-2-100002-1-1-1-12-1-1-1i3i3i3i3−i3−i3−i3−i3-2-211111111111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30-2200000000011-1-1−i3−i3i3i300000000
χ232222-2-2222-22-22-2-222-2-2222222220000-222-2-2-22-2-200000000-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000000000002-200
χ242222-2-2222-22-22-2-222-2-2222222220000-222-2-2-22-2-200000000-2-222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000-2200
χ252222-2-222-22-222-2-222-2-2222-2-2-2-220000-222-2-2-22-2-20000000022-2-222-2-2-2-22222000000000000000000000000200-2002200-2-20000000000000000
χ262222-2-222-22-222-2-222-2-2222-2-2-2-220000-222-2-2-22-2-20000000022-2-222-2-2-2-22222000000000000000000000000-200200-2-200220000000000000000
χ272222-2-22-1-22-222-2-2-1-1-2-2-1221111-100001-1-1111-11100000000-1-1-2-2221111-1-1-1-13333−3−3−3−33333−3−3−3−33333−3−3−3−3200-200-1-100110000000033−3−30000
χ282222-2-22-1-22-222-2-2-1-1-2-2-1221111-100001-1-1111-11100000000-1-1-2-2221111-1-1-1-13333−3−3−3−33333−3−3−3−33333−3−3−3−3-2002001100-1-100000000−3−3330000
χ292222-2-22-1-22-222-2-2-1-1-2-2-1221111-100001-1-1111-11100000000-1-1-2-2221111-1-1-1-1−3−3−3−33333−3−3−3−33333−3−3−3−33333200-200-1-1001100000000−3−3330000
χ302222-2-22-1-22-222-2-2-1-1-2-2-1221111-100001-1-1111-11100000000-1-1-2-2221111-1-1-1-1−3−3−3−33333−3−3−3−33333−3−3−3−33333-2002001100-1-10000000033−3−30000
χ312-2-222-22222-2-2-222-2-2-2-22-2222-2-222i2i−2i−2i2-2-222-22-2-22i2i−2i−2i2i2i−2i−2i2-22-22-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ322-2-222-22222-2-2-222-2-2-2-22-2222-2-22−2i−2i2i2i2-2-222-22-2-2−2i−2i2i2i−2i−2i2i2i2-22-22-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ332-2-222-222-2-222-222-2-2-2-22-22-2-222200002-2-222-22-2-200000000-22-22-22-2-222-2-22200000000000000000000000000002-200000000002-22-200000000
χ342-2-222-222-2-222-222-2-2-2-22-22-2-222200002-2-222-22-2-200000000-22-22-22-2-222-2-2220000000000000000000000000000-220000000000-22-2200000000
χ352-2-222-22-122-2-2-22211-2-2-1-22-1-111-12i2i−2i−2i-111-1-11-1112i2i−2i−2i2i2i−2i−2i-112-22-2-1-111-1-111−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000−i3i300−i3i3000000003−33−30000
χ362-2-222-22-122-2-2-22211-2-2-1-22-1-111-12i2i−2i−2i-111-1-11-1112i2i−2i−2i2i2i−2i−2i-112-22-2-1-111-1-111−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000i3−i300i3−i300000000−33−330000
χ372-2-222-22-122-2-2-22211-2-2-1-22-1-111-1−2i−2i2i2i-111-1-11-111−2i−2i2i2i−2i−2i2i2i-112-22-2-1-111-1-111ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000−i3i300−i3i300000000−33−330000
χ382-2-222-22-122-2-2-22211-2-2-1-22-1-111-1−2i−2i2i2i-111-1-11-111−2i−2i2i2i−2i−2i2i2i-112-22-2-1-111-1-111ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000i3−i300i3−i3000000003−33−30000
χ392-2-222-2-1222-2-21-1-1-2-21121-122-2-2-12i2i−2i−2i211-1-1-2-111−i−iii−i−iii2-2-11-11-1-111-1-1112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii0000000000003−33−3−i3i3i3−i300000000
χ402-2-222-2-1222-2-21-1-1-2-21121-122-2-2-12i2i−2i−2i211-1-1-2-111−i−iii−i−iii2-2-11-11-1-111-1-1112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii000000000000−33−33i3−i3−i3i300000000
χ412-2-222-2-1222-2-21-1-1-2-21121-122-2-2-1−2i−2i2i2i211-1-1-2-111ii−i−iii−i−i2-2-11-11-1-111-1-111−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i0000000000003−33−3i3−i3−i3i300000000
χ422-2-222-2-1222-2-21-1-1-2-21121-122-2-2-1−2i−2i2i2i211-1-1-2-111ii−i−iii−i−i2-2-11-11-1-111-1-111−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i000000000000−33−33−i3i3i3−i300000000
χ432-2-222-2-12-2-2221-1-1-2-21121-1-2-222-10000211-1-1-2-11133−3−3−3−333-221-11-111-1-111-1-10000000033−3−333−3−3−3−333−3−33300002-20000003−3−33-11-1100000000
χ442-2-222-2-12-2-2221-1-1-2-21121-1-2-222-10000211-1-1-2-11133−3−3−3−333-221-11-111-1-111-1-10000000033−3−333−3−3−3−333−3−3330000-22000000−333−31-11-100000000
χ452-2-222-2-12-2-2221-1-1-2-21121-1-2-222-10000211-1-1-2-111−3−33333−3−3-221-11-111-1-111-1-100000000−3−333−3−33333−3−333−3−300002-2000000−333−3-11-1100000000
χ462-2-222-2-12-2-2221-1-1-2-21121-1-2-222-10000211-1-1-2-111−3−33333−3−3-221-11-111-1-111-1-100000000−3−333−3−33333−3−333−3−30000-220000003−3−331-11-100000000
χ472-2-22-22222-2-22-2-2-2-2-2222-2222-2-220000-2-2-2-2-2222200000000-222-2-2222-2-2-2-222000000000000000000000000000000000000000000000000002-2
χ482-2-22-22222-2-22-2-2-2-2-2222-2222-2-220000-2-2-2-2-2222200000000-222-2-2222-2-2-2-22200000000000000000000000000000000000000000000000000-22
χ492-2-22-2222-222-2-2-2-2-2-2222-22-2-22220000-2-2-2-2-22222000000002-2-222-2-2-22222-2-2000000000000000000000000000000002-200000000002-2-220000
χ502-2-22-2222-222-2-2-2-2-2-2222-22-2-22220000-2-2-2-2-22222000000002-2-222-2-2-22222-2-200000000000000000000000000000000-220000000000-222-20000
χ512-2-22-222-1-222-2-2-2-21122-1-2211-1-1-1000011111-1-1-1-100000000-11-222-211-1-1-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000−i3i32-2i3−i300000000-111-10000
χ522-2-22-222-1-222-2-2-2-21122-1-2211-1-1-1000011111-1-1-1-100000000-11-222-211-1-1-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000i3−i3-22−i3i3000000001-1-110000
χ532-2-22-222-1-222-2-2-2-21122-1-2211-1-1-1000011111-1-1-1-100000000-11-222-211-1-1-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000−i3i3-22i3−i3000000001-1-110000
χ542-2-22-222-1-222-2-2-2-21122-1-2211-1-1-1000011111-1-1-1-100000000-11-222-211-1-1-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000i3−i32-2−i3i300000000-111-10000
χ554444444-2-4-4-4-4444-2-244-2442222-20000-2-2-2-2-2-2-2-2-20000000022-4-4-4-4222222220000000000000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-21111-2111-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-21111-211122222222-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-2111−2i3−2i3−2i3−2i32i32i32i32i3222222-1-1-1-1-1-1-1-100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-21112i32i32i32i3−2i3−2i3−2i3−2i3222222-1-1-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30000000000000000000000000000
χ604444-4-44-24-44-44-4-4-2-2-4-4-244-2-2-2-2-200002-2-2222-222000000002244-4-4-2-2-2-222220000000000000000000000000000000000000000000000000000
χ614444-4-4-244-44-4-22244224-2-24444-20000-4-2-222-4-22200000000-4-4-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-22244224-2-2-4-4-4-4-20000-4-2-222-4-222000000004422-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-222-2-222-2-2-2-2-2-2-210000211-1-121-1-10000000022-2-2221111-1-1-1-1000000003i3i3i3i−3i−3i−3i−3i−3i−3i−3i−3i3i3i3i3i0000000000000000000000000000
χ644444-4-4-2-24-44-4-222-2-222-2-2-2-2-2-2-210000211-1-121-1-10000000022-2-2221111-1-1-1-100000000−3i−3i−3i−3i3i3i3i3i3i3i3i3i−3i−3i−3i−3i0000000000000000000000000000
χ654444-4-4-2-2-44-44-222-2-222-2-2-2222210000211-1-121-1-100000000-2-222-2-2-1-1-1-1111123232323−23−23−23−23−3−3−3−33333−3−3−3−333330000000000000000000000000000
χ664444-4-4-2-2-44-44-222-2-222-2-2-2222210000211-1-121-1-100000000-2-222-2-2-1-1-1-11111−23−23−23−23232323233333−3−3−3−33333−3−3−3−30000000000000000000000000000
χ6744-4-4004400004004-400-4-4-4000042-22-204-4000-4002-22-22-22-2000000000000002-22-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000
χ6844-4-4004400004004-400-4-4-400004-22-2204-4000-400-22-22-22-2200000000000000-22-22-22-22-22-22-22-22-22-22-22-220000000000000000000000000000
χ6944-4-4004-20000400-22002-4-423−2323−23-22-22-20-220002002-22-22-22-200000023−2323−230000−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000000000
χ7044-4-4004-20000400-22002-4-423−2323−23-2-22-220-22000200-22-22-22-2200000023−2323−2300001−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000000000
χ7144-4-4004-20000400-22002-4-4−2323−2323-22-22-20-220002002-22-22-22-2000000−2323−23230000−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000000000
χ7244-4-4004-20000400-22002-4-4−2323−2323-2-22-220-22000200-22-22-22-22000000−2323−232300001+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000000000
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χ1054-4-444-4-2-244-4-42-2-22222-22-2-2-2221−4i−4i4i4i-2-1-11121-1-12i2i−2i−2i2i2i−2i−2i-22-22-2211-1-111-1-12i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii0000000000000000000000000000
χ1064-4-444-4-2-2-4-4442-2-22222-22-222-2-210000-2-1-11121-1-12323−23−23−23−2323232-22-22-2-1-111-1-11100000000−3−333−3−33333−3−333−3−30000000000000000000000000000
χ1074-4-444-4-2-2-4-4442-2-22222-22-222-2-210000-2-1-11121-1-1−23−2323232323−23−232-22-22-2-1-111-1-1110000000033−3−333−3−3−3−333−3−3330000000000000000000000000000
χ1084-4-44-444-24-4-44-4-4-42244-2-44-2-222-2000022222-2-2-2-2000000002-24-4-44-2-22222-2-20000000000000000000000000000000000000000000000000000
χ1094-4-44-44-244-4-44222-4-4-2-242-244-4-4-20000-422224-2-2-200000000-44-222-2-2-22222-2-20000000000000000000000000000000000000000000000000000
χ1104-4-44-44-24-444-4222-4-4-2-242-2-4-444-20000-422224-2-2-2000000004-42-2-2222-2-2-2-2220000000000000000000000000000000000000000000000000000
χ1114-4-44-44-2-24-4-4422222-2-2-22-2-2-222100002-1-1-1-1-2111000000002-2-222-211-1-1-1-1110000000033-3-3-3-333-3-33333-3-30000000000000000000000000000
χ1124-4-44-44-2-24-4-4422222-2-2-22-2-2-222100002-1-1-1-1-2111000000002-2-222-211-1-1-1-11100000000-3-33333-3-333-3-3-3-3330000000000000000000000000000
χ1134-4-44-44-2-2-444-422222-2-2-22-222-2-2100002-1-1-1-1-211100000000-222-2-22-1-11111-1-1−2i3−2i32i32i32i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000
χ1144-4-44-44-2-2-444-422222-2-2-22-222-2-2100002-1-1-1-1-211100000000-222-2-22-1-11111-1-12i32i3−2i3−2i3−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000

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