Finite Group Databasebeta

← Group #14301979

Character table — Group #14301979

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444455556666888888888101010101010101010101010101016161616161616162020202020202020202024242424243030303030303030303030304040404040404040404848120120120
order122234466651010101212444422444121215202030303022444444441212121220206060606060606612121212121212124101020202244444444444881212242424242020288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-1
χ3111111111111111111111111-1-1-111111111111111111111-1-111-1-1-1-11111111111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-111
χ511111111111111111111-1-1-1-111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ611111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ811111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-11111111-1-1
χ91111111111111111-1-1-1-11111111111111-1-1iiii−i−i−i−i-1-1-1-111111111-1-1iiii−i−i−i−i11111-1-1-1-1iiii−i−i−i−i-1i−i-1-1ii−i−i11-1i−i
χ101111111111111111-1-1-1-11111111111111-1-1−i−i−i−iiiii-1-1-1-111111111-1-1−i−i−i−iiiii11111-1-1-1-1−i−i−i−iiiii-1−ii-1-1−i−iii11-1−ii
χ111111111111111111-1-1-1-11111-1-1-1111111-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i-11111-1-1-1-1iiii−i−i−i−i1−ii11−i−iii-1-11−ii
χ121111111111111111-1-1-1-11111-1-1-1111111-1-1−i−i−i−iiiii-1-1-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii-11111-1-1-1-1−i−i−i−iiiii1i−i11ii−i−i-1-11i−i
χ131111111111111111-1-1-1-1-1-1-1-1111111111-1-1iiii−i−i−i−i-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1-11111−i−i−i−iiiii-1i−i-1-1ii−i−i-1-11−ii
χ141111111111111111-1-1-1-1-1-1-1-1111111111-1-1−i−i−i−iiiii-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1-11111iiii−i−i−i−i-1−ii-1-1−i−iii-1-11i−i
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-11111−i−i−i−iiiii1−ii11−i−iii11-1i−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiii-1-1-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-11111iiii−i−i−i−i1i−i11ii−i−i11-1−ii
χ1722222-2-22222222-2-2222222-2-20002-2-2222-2-200000000222200-2-20000-2-200000000022-2-2-2-2220000000000000000000000
χ1822222-2-22222222-2-22222-2-2220002-2-2222-2-200000000222200-2-20000-2-2000000000-2-22222-2-20000000000000000000000
χ1922222-2-22222222-2-2-2-2-2-222-2-20002-2-22222200000000-2-2-2-200-2-200002200000000022-2-222-2-20000000000000000000000
χ2022222-2-22222222-2-2-2-2-2-2-2-2220002-2-22222200000000-2-2-2-200-2-2000022000000000-2-222-2-2220000000000000000000000
χ212222-122-1-1-12222-1-1222200002-1-1-122-1-1-12222222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000222-1-1-1-1-1-100000
χ222222-122-1-1-12222-1-1222200002-1-1-122-1-1-122-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-111111111000000000000000002-2-2-1-1111100000
χ232222-122-1-1-12222-1-122220000-211-122-1-1-12222222222-1-1-1-1-2-2-1-11111-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-211111100000
χ242222-122-1-1-12222-1-122220000-211-122-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-2-2-1-11111-1-11111111100000000000000000-22211-1-1-1-100000
χ252222-122-1-1-12222-1-1-2-2-2-200002-1-1-122-1-1-1-2-22i2i2i2i−2i−2i−2i−2i111122-1-1-1-1-1-111−i−i−i−iiiii00000000000000000-22i−2i11−i−iii00000
χ262222-122-1-1-12222-1-1-2-2-2-200002-1-1-122-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i111122-1-1-1-1-1-111iiii−i−i−i−i00000000000000000-2−2i2i11ii−i−i00000
χ272222-122-1-1-12222-1-1-2-2-2-20000-211-122-1-1-1-2-22i2i2i2i−2i−2i−2i−2i1111-2-2-1-1111111−i−i−i−iiiii000000000000000002−2i2i-1-1ii−i−i00000
χ282222-122-1-1-12222-1-1-2-2-2-20000-211-122-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i1111-2-2-1-1111111iiii−i−i−i−i0000000000000000022i−2i-1-1−i−iii00000
χ2922-2-22002-2-22-22-2002i−2i2i−2i002i−2i000200-2-22001+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i2i−2i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002i−2i2-2001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000
χ3022-2-22002-2-22-22-2002i−2i2i−2i002i−2i000200-2-2200−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i2i−2i0000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002i−2i2-200−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000
χ3122-2-22002-2-22-22-2002i−2i2i−2i00−2i2i000200-2-22001+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i2i−2i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2i2i-2200−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000
χ3222-2-22002-2-22-22-2002i−2i2i−2i00−2i2i000200-2-2200−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i2i−2i0000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2i2i-22001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000
χ3322-2-22002-2-22-22-200−2i2i−2i2i002i−2i000200-2-22001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i−2i2i00000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0002i−2i-2200−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000
χ3422-2-22002-2-22-22-200−2i2i−2i2i002i−2i000200-2-2200−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i−2i2i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0002i−2i-22001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000
χ3522-2-22002-2-22-22-200−2i2i−2i2i00−2i2i000200-2-22001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i−2i2i00000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2i2i2-2001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000
χ3622-2-22002-2-22-22-200−2i2i−2i2i00−2i2i000200-2-2200−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i−2i2i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000−2i2i2-200−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000
χ372-22-2200-2-2222-2-2002i−2i−2i2i2-2000002002-2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i2i−2i00000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i02-200002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ382-22-2200-2-2222-2-2002i−2i−2i2i2-2000002002-2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i2i−2i0000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i02-200002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ392-22-2200-2-2222-2-2002i−2i−2i2i-22000002002-2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i2i−2i00000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0-220000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ402-22-2200-2-2222-2-2002i−2i−2i2i-22000002002-2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i2i−2i0000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0-220000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ412-22-2200-2-2222-2-200−2i2i2i−2i2-2000002002-2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i−2i2i00000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i02-20000−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ422-22-2200-2-2222-2-200−2i2i2i−2i2-2000002002-2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i−2i2i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i02-20000−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ432-22-2200-2-2222-2-200−2i2i2i−2i-22000002002-2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i−2i2i00000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0-2200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ442-22-2200-2-2222-2-200−2i2i2i−2i-22000002002-2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i−2i2i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0-2200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ452-2-2222-2-22-22-2-222-222-2-2000000022-2-22-22-22i−2i−2i2i−2i2i2i−2i-2-222002-200002-22i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000
χ462-2-2222-2-22-22-2-222-222-2-2000000022-2-22-22-2−2i2i2i−2i2i−2i−2i2i-2-222002-200002-2−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000
χ472-2-2222-2-22-22-2-222-2-2-222000000022-2-22-2-222-2-222-2-2222-2-2002-20000-222-2-222-2-220000000000000000000000000000000
χ482-2-2222-2-22-22-2-222-2-2-222000000022-2-22-2-22-222-2-222-222-2-2002-20000-22-222-2-222-20000000000000000000000000000000
χ492-2-222-22-22-22-2-22-2222-2-200000002-22-22-2-2200000000-2-22200-220000-22000000000000000002-2-222-2-2200000000000000
χ502-2-222-22-22-22-2-22-2222-2-200000002-22-22-2-2200000000-2-22200-220000-2200000000000000000-222-2-222-200000000000000
χ512-2-222-22-22-22-2-22-22-2-22200000002-22-22-22-20000000022-2-200-2200002-2000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ522-2-222-22-22-22-2-22-22-2-22200000002-22-22-22-20000000022-2-200-2200002-200000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ532-2-22-12-21-112-2-22-1122-2-2000003−3-12-21-112-22i−2i−2i2i−2i2i2i−2i11-1-100-1133−3−3-11−iii−ii−i−ii000000000000000000003−3−i3i3−i3i300000
χ542-2-22-12-21-112-2-22-1122-2-2000003−3-12-21-112-2−2i2i2i−2i2i−2i−2i2i11-1-100-1133−3−3-11i−i−ii−iii−i000000000000000000003−3i3−i3i3−i300000
χ552-2-22-12-21-112-2-22-1122-2-200000−33-12-21-112-22i−2i−2i2i−2i2i2i−2i11-1-100-11−3−333-11−iii−ii−i−ii00000000000000000000−33i3−i3i3−i300000
χ562-2-22-12-21-112-2-22-1122-2-200000−33-12-21-112-2−2i2i2i−2i2i−2i−2i2i11-1-100-11−3−333-11i−i−ii−iii−i00000000000000000000−33−i3i3−i3i300000
χ572-2-22-12-21-112-2-22-11-2-222000003−3-12-21-11-222-2-222-2-22-1-11100-1133−3−31-1-111-1-111-100000000000000000000−33−333−300000
χ582-2-22-12-21-112-2-22-11-2-222000003−3-12-21-11-22-222-2-222-2-1-11100-1133−3−31-11-1-111-1-1100000000000000000000−333−3−3300000
χ592-2-22-12-21-112-2-22-11-2-22200000−33-12-21-11-222-2-222-2-22-1-11100-11−3−3331-1-111-1-111-1000000000000000000003−33−3−3300000
χ602-2-22-12-21-112-2-22-11-2-22200000−33-12-21-11-22-222-2-222-2-1-11100-11−3−3331-11-1-111-1-11000000000000000000003−3−333−300000
χ614444444444-1-1-1-14400004444444-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-100000000004-1-1-1-1000000000000000000000-1-1000
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χ634444444444-1-1-1-1440000-4-4-4-4444-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-10000000000-4111100000000000000000000011000
χ644444444444-1-1-1-1440000-4-4-4-4-4-4-4-1-1-1-1-1-10000000000000011-1-11111000000000041111000000000000000000000-1-1000
χ6544444-4-4444-1-1-1-1-4-4000044-4-4000-111-1-1-100000000000000−5511−55−5500000000000-1-111000000000000000000000−55000
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χ7244-4-4-200-2224-44-4004i−4i4i−4i0000000-20022-200−2−2i−2−2i2+2i2+2i−2+2i−2+2i2−2i2−2i−2i2i−2i2i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000000000000000000
χ7344-4-4-200-2224-44-400−4i4i−4i4i0000000-20022-2002−2i2−2i−2+2i−2+2i2+2i2+2i−2−2i−2−2i2i−2i2i−2i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000000000000000000
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χ774-44-4-20022-244-4-400−4i4i4i−4i0000000-200-222002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i−2i2i2i−2i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000000000000000000
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χ878-88-8800-8-88-2-2220000008-800000-200-222000000000000000000000000000000000-220000000000000000000000000000
χ888-88-8800-8-88-2-222000000-8800000-200-2220000000000000000000000000000000002-20000000000000000000000000000
χ898-8-8888-8-88-8-222-28-800000000000-2-222-220000000000000000-22000000000000000000000000000000000000000000000
χ908-8-888-88-88-8-222-2-8800000000000-22-22-2200000000000000002-2000000000000000000000000000000000000000000000
χ918-8-88-48-84-44-222-2-4400000000043−431-22-11-100000000000000001-1−3−33300000000000000000000000000000000000000000
χ928-8-88-48-84-44-222-2-44000000000−43431-22-11-100000000000000001-133−3−300000000000000000000000000000000000000000
χ938-8-88-4-884-44-222-24-40000000000012-2-11-10000000000000000-11−151515−1500000000000000000000000000000000000000000
χ948-8-88-4-884-44-222-24-40000000000012-2-11-10000000000000000-1115−15−151500000000000000000000000000000000000000000
χ951616-16-16-800-888-44-440000000000000200-2-22000000000000000000000000000000000000000000000000000000000000000
χ9616-1616-16-80088-8-4-44400000000000002002-2-2000000000000000000000000000000000000000000000000000000000000000

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