Finite Group Databasebeta

← Group #14295613

Character table — Group #14295613

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222223333444444445555668888888888881010101010101010101010101010121212121212151515151616161616162020202020202020202020202020202024242424242430303030303030303030404040404040606060606060
order122234466644444451010101212444444121215202020202020303030224444444412121212222020202044446060606060604466888812121212121212121010101020204444444444121224242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-1-1-111111111111111-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1111111-1-1-1-1ii−i−iiiii−i−i−i−i111111-1-1iiii−i−i−i−i-1-1ii−i−i-1-1ii−i−i
χ41111111111111111111111-1-1-1-111111111111111-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-1111111-1-1-1-1−i−iii−i−i−i−iiiii111111-1-1−i−i−i−iiiii-1-1−i−iii-1-1−i−iii
χ511111111111111-1-1111111111111-1-1111-1-1-1-111111111111111111-1-11111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1111111111111-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111-1-1111111-1-1-1-111-1-1111-1-1-1-1111-1-1iiii−i−i−i−i-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1−i−iiiiiii−i−i−i−i-1-1-1-111-1-1iiii−i−i−i−i11−i−iii11−i−iii
χ811111111111111-1-1111111-1-1-1-111-1-1111-1-1-1-1111-1-1−i−i−i−iiiii-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1ii−i−i−i−i−i−iiiii-1-1-1-111-1-1−i−i−i−iiiii11ii−i−i11ii−i−i
χ91111111111-1-1-1-1111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ101111111111-1-1-1-1111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-111−i−i−i−iiiii-1-1ii−i−i11−i−iii
χ121111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-111iiii−i−i−i−i-1-1−i−iii11ii−i−i
χ131111111111-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111111111-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1
χ151111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1−i−iiiiiii−i−i−i−i1111-1-111−i−i−i−iiiii11−i−iii-1-1ii−i−i
χ161111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1ii−i−i−i−i−i−iiiii1111-1-111iiii−i−i−i−i11ii−i−i-1-1−i−iii
χ171-1-1111-1-11-1ii−i−ii−i11-1-11-111-1-1i−ii−i11-1ii−i−i-11-1-11ii−i−iii−i−i-1-1111-1ii−i−iii−i−i1-1ii−i−ii−i1-11-11-1ii−i−iii−i−i11-1-1i−ii−i11-1-111-1-1i−i1-11-11-1i−ii−i
χ181-1-1111-1-11-1ii−i−ii−i11-1-11-111-1-1i−ii−i11-1ii−i−i-11-1-11−i−iii−i−iii-1-1111-1ii−i−iii−i−i1-1ii−i−ii−i1-1-11-11−i−iii−i−iii11-1-1i−ii−i-1-111-1-111i−i-11-111-1−ii−ii
χ191-1-1111-1-11-1ii−i−ii−i11-1-11-1-1-111i−ii−i11-1ii−i−i-11-11-111-1-1-1-11111-1-11-1ii−i−i−i−iii1-1ii−i−i−ii-11−iii−i11-1-1-1-11111-1-1i−i−ii−i−iiiii−i−i−ii−iii−i-111-1-11
χ201-1-1111-1-11-1ii−i−ii−i11-1-11-1-1-111i−ii−i11-1ii−i−i-11-11-1-1-11111-1-111-1-11-1ii−i−i−i−iii1-1ii−i−i−ii-11i−i−ii-1-11111-1-111-1-1i−i−iiii−i−i−i−iii−iii−i−ii-11-111-1
χ211-1-1111-1-11-1ii−i−i−ii11-1-11-111-1-1i−i−ii11-1−i−iii-11-1-11ii−i−iii−i−i-1-111-11ii−i−iii−i−i1-1−i−iii−ii1-1-11-11ii−i−iii−i−i-1-111i−ii−i11-1-111-1-1−ii-11-11-11−ii−ii
χ221-1-1111-1-11-1ii−i−i−ii11-1-11-111-1-1i−i−ii11-1−i−iii-11-1-11−i−iii−i−iii-1-111-11ii−i−iii−i−i1-1−i−iii−ii1-11-11-1−i−iii−i−iii-1-111i−ii−i-1-111-1-111−ii1-11-1-11i−ii−i
χ231-1-1111-1-11-1ii−i−i−ii11-1-11-1-1-111i−i−ii11-1−i−iii-11-11-111-1-1-1-11111-1-1-11ii−i−i−i−iii1-1−i−iiii−i-11i−i−ii11-1-1-1-111-1-111i−i−ii−i−iiiii−i−ii−ii−i−ii1-1-111-1
χ241-1-1111-1-11-1ii−i−i−ii11-1-11-1-1-111i−i−ii11-1−i−iii-11-11-1-1-11111-1-111-1-1-11ii−i−i−i−iii1-1−i−iiii−i-11−iii−i-1-11111-1-1-1-111i−i−iiii−i−i−i−iiii−i−iii−i1-11-1-11
χ251-1-1111-1-11-1−i−iiii−i11-1-11-111-1-1−iii−i11-1ii−i−i-11-1-11ii−i−iii−i−i-1-111-11−i−iii−i−iii1-1ii−i−ii−i1-11-11-1ii−i−iii−i−i-1-111−ii−ii-1-111-1-111i−i1-11-1-11−ii−ii
χ261-1-1111-1-11-1−i−iiii−i11-1-11-111-1-1−iii−i11-1ii−i−i-11-1-11−i−iii−i−iii-1-111-11−i−iii−i−iii1-1ii−i−ii−i1-1-11-11−i−iii−i−iii-1-111−ii−ii11-1-111-1-1i−i-11-11-11i−ii−i
χ271-1-1111-1-11-1−i−iiii−i11-1-11-1-1-111−iii−i11-1ii−i−i-11-11-111-1-1-1-11111-1-1-11−i−iiiii−i−i1-1ii−i−i−ii-11−iii−i11-1-1-1-111-1-111−iii−iii−i−i−i−iii−ii−iii−i1-1-111-1
χ281-1-1111-1-11-1−i−iiii−i11-1-11-1-1-111−iii−i11-1ii−i−i-11-11-1-1-11111-1-111-1-1-11−i−iiiii−i−i1-1ii−i−i−ii-11i−i−ii-1-11111-1-1-1-111−iii−i−i−iiiii−i−i−iii−i−ii1-11-1-11
χ291-1-1111-1-11-1−i−iii−ii11-1-11-111-1-1−ii−ii11-1−i−iii-11-1-11ii−i−iii−i−i-1-1111-1−i−iii−i−iii1-1−i−iii−ii1-1-11-11ii−i−iii−i−i11-1-1−ii−ii-1-111-1-111−ii-11-111-1i−ii−i
χ301-1-1111-1-11-1−i−iii−ii11-1-11-111-1-1−ii−ii11-1−i−iii-11-1-11−i−iii−i−iii-1-1111-1−i−iii−i−iii1-1−i−iii−ii1-11-11-1−i−iii−i−iii11-1-1−ii−ii11-1-111-1-1−ii1-11-11-1−ii−ii
χ311-1-1111-1-11-1−i−iii−ii11-1-11-1-1-111−ii−ii11-1−i−iii-11-11-111-1-1-1-11111-1-11-1−i−iiiii−i−i1-1−i−iiii−i-11i−i−ii11-1-1-1-11111-1-1−iii−iii−i−i−i−iiii−ii−i−ii-111-1-11
χ321-1-1111-1-11-1−i−iii−ii11-1-11-1-1-111−ii−ii11-1−i−iii-11-11-1-1-11111-1-111-1-11-1−i−iiiii−i−i1-1−i−iiii−i-11−iii−i-1-11111-1-111-1-1−iii−i−i−iiiii−i−ii−i−iii−i-11-111-1
χ3322222-2-22222222002222-2-22222-2-2002-2-20000222-2-20000000022220022222222-2-2000000-2-20000000000000000-2-2-2-200000000000000000000
χ3422222-2-22222222002222-2-2-2-2-2-2-2-2002-2-200002222200000000-2-2-2-2002222-2-2-2-2-2-2000000220000000000000000-2-22200000000000000000000
χ3522222-2-2222-2-2-2-2002222-2-2222222002-2-20000222-2-200000000222200-2-2-2-2-2-2-2-2-2-2000000-2-20000000000000000222200000000000000000000
χ3622222-2-2222-2-2-2-2002222-2-2-2-2-2-222002-2-200002222200000000-2-2-2-200-2-2-2-22222-2-200000022000000000000000022-2-200000000000000000000
χ372222-122-1-1-10000222222-1-1222200-1-1-1222222-1-1-12222222222-1-1-1-10000000000-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1000000
χ382222-122-1-1-10000222222-1-1222200-1-1-1222222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-1-1-1-1-122-1-1-2-2-2-2111111110000000000000000-1-11111000000
χ392222-122-1-1-10000222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-22i2i2i2i−2i−2i−2i−2i11110000000000-1-1-1-1-1-1-2-2112i2i−2i−2i−i−i−i−iiiii000000000000000011−i−iii000000
χ402222-122-1-1-10000222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i11110000000000-1-1-1-1-1-1-2-211−2i−2i2i2iiiii−i−i−i−i000000000000000011ii−i−i000000
χ412222-122-1-1-10000-2-22222-1-122220011-122-2-2-2-2-1-1-12222222222-1-1-1-10000000000-1-11111-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-10000000000000000111111000000
χ422222-122-1-1-10000-2-22222-1-122220011-122-2-2-2-2-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-11111-2-2-1-1222211111111000000000000000011-1-1-1-1000000
χ432222-122-1-1-10000-2-22222-1-1-2-2-2-20011-122-2-2-2-2-1-1-1-2-22i2i2i2i−2i−2i−2i−2i11110000000000-1-111112211−2i−2i2i2i−i−i−i−iiiii0000000000000000-1-1ii−i−i000000
χ442222-122-1-1-10000-2-22222-1-1-2-2-2-20011-122-2-2-2-2-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i11110000000000-1-1111122112i2i−2i−2iiiii−i−i−i−i0000000000000000-1-1−i−iii000000
χ4522-2-22002-2-22-22-2002-2-22002i−2i2i−2i00002000000-2-22001+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i2i−2i002-22-22i−2i2i−2i000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ4622-2-22002-2-22-22-2002-2-22002i−2i2i−2i00002000000-2-2200−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i2i−2i002-22-22i−2i2i−2i00000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ4722-2-22002-2-22-22-2002-2-2200−2i2i−2i2i00002000000-2-22001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i−2i2i002-22-2−2i2i−2i2i000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ4822-2-22002-2-22-22-2002-2-2200−2i2i−2i2i00002000000-2-2200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i−2i2i002-22-2−2i2i−2i2i00000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ4922-2-22002-2-2-22-22002-2-22002i−2i2i−2i00002000000-2-22001+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i2i−2i00-22-22−2i2i−2i2i000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ5022-2-22002-2-2-22-22002-2-22002i−2i2i−2i00002000000-2-2200−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i2i−2i00-22-22−2i2i−2i2i00000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ5122-2-22002-2-2-22-22002-2-2200−2i2i−2i2i00002000000-2-22001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i−2i2i00-22-222i−2i2i−2i000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ5222-2-22002-2-2-22-22002-2-2200−2i2i−2i2i00002000000-2-2200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i−2i2i00-22-222i−2i2i−2i00000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ532-22-2200-2-222i−2i−2i2i002-22-2002i−2i−2i2i000020000002-2-2001−i−1+i−1+i1−i−1−i1+i1+i−1−i−2i2i2i−2i002i−2i−2i2i-222-2000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000
χ542-22-2200-2-222i−2i−2i2i002-22-2002i−2i−2i2i000020000002-2-200−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2i2i2i−2i002i−2i−2i2i-222-200000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000
χ552-22-2200-2-222i−2i−2i2i002-22-200−2i2i2i−2i000020000002-2-2001+i−1−i−1−i1+i−1+i1−i1−i−1+i2i−2i−2i2i002i−2i−2i2i2-2-22000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000
χ562-22-2200-2-222i−2i−2i2i002-22-200−2i2i2i−2i000020000002-2-200−1−i1+i1+i−1−i1−i−1+i−1+i1−i2i−2i−2i2i002i−2i−2i2i2-2-2200000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000
χ572-22-2200-2-22−2i2i2i−2i002-22-2002i−2i−2i2i000020000002-2-2001−i−1+i−1+i1−i−1−i1+i1+i−1−i−2i2i2i−2i00−2i2i2i−2i2-2-22000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000
χ582-22-2200-2-22−2i2i2i−2i002-22-2002i−2i−2i2i000020000002-2-200−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2i2i2i−2i00−2i2i2i−2i2-2-2200000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000
χ592-22-2200-2-22−2i2i2i−2i002-22-200−2i2i2i−2i000020000002-2-2001+i−1−i−1−i1+i−1+i1−i1−i−1+i2i−2i−2i2i00−2i2i2i−2i-222-2000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000
χ602-22-2200-2-22−2i2i2i−2i002-22-200−2i2i2i−2i000020000002-2-200−1−i1+i1+i−1−i1−i−1+i−1+i1−i2i−2i−2i2i00−2i2i2i−2i-222-200000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000
χ612-2-222-22-22-22i2i−2i−2i0022-2-2-2222-2-2−2i2i002-220000-22-22-200000000-2-222002i2i−2i−2i2i2i−2i−2i-22000000-220000000000000000−2i2i−2i2i00000000000000000000
χ622-2-222-22-22-22i2i−2i−2i0022-2-2-22-2-222−2i2i002-220000-22-2-220000000022-2-2002i2i−2i−2i−2i−2i2i2i-220000002-20000000000000000−2i2i2i−2i00000000000000000000
χ632-2-222-22-22-2−2i−2i2i2i0022-2-2-2222-2-22i−2i002-220000-22-22-200000000-2-22200−2i−2i2i2i−2i−2i2i2i-22000000-2200000000000000002i−2i2i−2i00000000000000000000
χ642-2-222-22-22-2−2i−2i2i2i0022-2-2-22-2-2222i−2i002-220000-22-2-220000000022-2-200−2i−2i2i2i2i2i−2i−2i-220000002-200000000000000002i−2i−2i2i00000000000000000000
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χ734444444444444444-1-1-1-14400004444-1-1-1-1-1-1-1-1-1-10000000000000044-1-1-1-10000-1-1-1-1-1-10000000000000000-1-1-1-1-1-10000000000000000000000
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χ814444-2-4-4-2-2-200000044442244440000-2-4-40000-2-2-2-4-400000000-2-2-2-2000000000022000000220000000000000000000000000000000000000000
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χ8644-4-4-200-2220000004-4-4400−4i4i−4i4i0000-200000022-200−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i2i−2i2i−2i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000000000000000
χ874-44-4-20022-20000004-44-4004i−4i−4i4i0000-2000000-222002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i2i−2i−2i2i000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000000000000000000000
χ884-44-4-20022-20000004-44-4004i−4i−4i4i0000-2000000-22200−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i2i−2i−2i2i0000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000000000000000000000
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χ1078-88-8800-8-888i−8i−8i8i00-22-220000000000-2000000-2220000000000000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000
χ1088-88-8800-8-88−8i8i8i−8i00-22-220000000000-2000000-22200000000000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000
χ1098-8-88-48-84-4400008i−8i-2-222-44000000−4i4i1-22−2i−2i2i2i-11-10000000000000000000000001-1ii−i−i00000000000000000000000000000000000000000000
χ1108-8-88-48-84-440000−8i8i-2-222-440000004i−4i1-222i2i−2i−2i-11-10000000000000000000000001-1−i−iii00000000000000000000000000000000000000000000
χ1118-8-88-4-884-44000000-2-2224-40000000012-22i5−2i5−2i52i5-11-1000000000000000000000000-11−i5i5i5−i500000000000000000000000000000000000000000000
χ1128-8-88-4-884-44000000-2-2224-40000000012-2−2i52i52i5−2i5-11-1000000000000000000000000-11i5−i5−i5i500000000000000000000000000000000000000000000
χ1131616-16-16-800-888000000-444-400000000002000000-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-1616-16-80088-8000000-44-44000000000020000002-2-200000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).