Finite Group Databasebeta

← Group #14295973

Character table — Group #14295973

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222223333444444445555668888888888881010101010101010101010101010121212121212151515151616161616162020202020202020202020202020202024242424242430303030303030303030404040404040606060606060
order1244234612128888245610122020224488610101012152020203060602444444444661212884040404088883030306060602468888121212121212121212404040404040888888888861224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ31111111111111111111111-1-1-1-111111111111111-1iiii−i−i−i−i-1-1-1-1-1111111-1-1-1-1111111-1-1-1ii−i−i-1iiii−i−i−i−i111111-1-1iiii−i−i−i−i-1-1ii−i−iii−i−i-1-1
χ41111111111111111111111-1-1-1-111111111111111-1−i−i−i−iiiii-1-1-1-1-1111111-1-1-1-1111111-1-1-1−i−iii-1−i−i−i−iiiii111111-1-1−i−i−i−iiiii-1-1−i−iii−i−iii-1-1
χ511111111111111-1-1111111111111-11-1-1-111-1-111111111111111111-1-1111111111-1-11-1-1-1-11-1-1-1-111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1111111111111-11-1-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111-1-1111111-1-1-1-111-11-1-1-111-1-1111-1iiii−i−i−i−i-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-111-1−i−iii-1iiii−i−i−i−i11-1-1-1-1-1-1iiii−i−i−i−i11−i−iii−i−iii11
χ811111111111111-1-1111111-1-1-1-111-11-1-1-111-1-1111-1−i−i−i−iiiii-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-111-1ii−i−i-1−i−i−i−iiiii11-1-1-1-1-1-1−i−i−i−iiiii11ii−i−iii−i−i11
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
χ101111111111-1-1-1-1111111111111-1-11111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1ii−i−i-1iiii−i−i−i−i-1-1-1-1-1-111−i−i−i−iiiii-1-1ii−i−i−i−iii11
χ121111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1−i−iii-1−i−i−i−iiiii-1-1-1-1-1-111iiii−i−i−i−i-1-1−i−iiiii−i−i11
χ131111111111-1-1-1-1-1-11111111111-1-1-11-1-1-111-1-11111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111111111-1-1-1-1-1-11111111111-1-1-11-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-11111-1-1-1-111
χ151111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111-1-1111-1iiii−i−i−i−i-1-1-1-1-111-1-1-1-111111-1-11-1-111-1−i−iii-1iiii−i−i−i−i-1-1111111−i−i−i−iiiii11−i−iiiii−i−i-1-1
χ161111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111-1-1111-1−i−i−i−iiiii-1-1-1-1-111-1-1-1-111111-1-11-1-111-1ii−i−i-1−i−i−i−iiiii-1-1111111iiii−i−i−i−i11ii−i−i−i−iii-1-1
χ1711-1-1-1111-1-1ii−i−i1-11-111-1-111-1-1i−i1-111-111-1-11-1-1-1ii−i−iii−i−i111-1-1i−iii−i−iii−i−i-1111-1-11-1-1i−ii−i1ii−i−iii−i−ii−iii−i−ii−i11-1-111-1-11-1i−ii−i1-11-1i−i
χ1811-1-1-1111-1-1ii−i−i1-11-111-1-111-1-1i−i1-111-111-1-11-1-1-1−i−iii−i−iii111-1-1i−iii−i−iii−i−i-1111-1-11-1-1−ii−ii1−i−iii−i−iiii−iii−i−ii−i-1-111-1-1111-1−ii−ii-11-11i−i
χ1911-1-1-1111-1-1ii−i−i1-11-111-1-1-1-111i−i1-111-111-1-11-1-1111-1-1-1-111-1-1-111i−iii−i−i−i−iii-1111-1-1-1111-1-11-111-1-1-1-111i−iii−i−i−ii−i−iiiii−i−i-111-1-11−iii−i−ii
χ2011-1-1-1111-1-1ii−i−i1-11-111-1-1-1-111i−i1-111-111-1-11-1-11-1-11111-1-1-1-1-111i−iii−i−i−i−iii-1111-1-1-111-111-1-1-1-11111-1-1i−iii−i−i−iiii−i−i−i−iii-11-111-1i−i−ii−ii
χ2111-1-1-1111-1-1ii−i−i-111-111-1-111-1-1i−i-1-1-1-1111111-1-1-1ii−i−iii−i−i111-1-1−iiii−i−iii−i−i-1-1-1111-11-1−ii−ii1ii−i−iii−i−ii−i−i−iiii−i11-1-111-1-1-11−ii−ii-11-11−ii
χ2211-1-1-1111-1-1ii−i−i-111-111-1-111-1-1i−i-1-1-1-1111111-1-1-1−i−iii−i−iii111-1-1−iiii−i−iii−i−i-1-1-1111-11-1i−ii−i1−i−iii−i−iiii−i−i−iiii−i-1-111-1-111-11i−ii−i1-11-1−ii
χ2311-1-1-1111-1-1ii−i−i-111-111-1-1-1-111i−i-1-1-1-1111111-1-1111-1-1-1-111-1-1-111−iiii−i−i−i−iii-1-1-11111-11-111-1-111-1-1-1-111i−i−i−iii−ii−i−iiiii−i−i1-1-111-1i−i−iii−i
χ2411-1-1-1111-1-1ii−i−i-111-111-1-1-1-111i−i-1-1-1-1111111-1-11-1-11111-1-1-1-1-111−iiii−i−i−i−iii-1-1-11111-111-1-11-1-1-11111-1-1i−i−i−iii−iiii−i−i−i−iii1-11-1-11−iii−ii−i
χ2511-1-1-1111-1-1−i−iii1-11-111-1-111-1-1−ii1-111-111-1-11-1-1-1ii−i−iii−i−i111-1-1−ii−i−iii−i−iii-1111-1-11-1-1i−ii−i1ii−i−iii−i−i−ii−i−iii−ii-1-111-1-1111-1i−ii−i-11-11−ii
χ2611-1-1-1111-1-1−i−iii1-11-111-1-111-1-1−ii1-111-111-1-11-1-1-1−i−iii−i−iii111-1-1−ii−i−iii−i−iii-1111-1-11-1-1−ii−ii1−i−iii−i−iii−ii−i−iii−ii11-1-111-1-11-1−ii−ii1-11-1−ii
χ2711-1-1-1111-1-1−i−iii1-11-111-1-1-1-111−ii1-111-111-1-11-1-1111-1-1-1-111-1-1-111−ii−i−iiiii−i−i-1111-1-1-1111-1-11-111-1-1-1-111−ii−i−iiii−iii−i−i−i−iii-111-1-11i−i−iii−i
χ2811-1-1-1111-1-1−i−iii1-11-111-1-1-1-111−ii1-111-111-1-11-1-11-1-11111-1-1-1-1-111−ii−i−iiiii−i−i-1111-1-1-111-111-1-1-1-11111-1-1−ii−i−iiii−i−i−iiiii−i−i-11-111-1−iii−ii−i
χ2911-1-1-1111-1-1−i−iii-111-111-1-111-1-1−ii-1-1-1-1111111-1-1-1ii−i−iii−i−i111-1-1i−i−i−iii−i−iii-1-1-1111-11-1−ii−ii1ii−i−iii−i−i−iiii−i−i−ii-1-111-1-111-11−ii−ii1-11-1i−i
χ3011-1-1-1111-1-1−i−iii-111-111-1-111-1-1−ii-1-1-1-1111111-1-1-1−i−iii−i−iii111-1-1i−i−i−iii−i−iii-1-1-1111-11-1i−ii−i1−i−iii−i−iii−iiii−i−i−ii11-1-111-1-1-11i−ii−i-11-11i−i
χ3111-1-1-1111-1-1−i−iii-111-111-1-1-1-111−ii-1-1-1-1111111-1-1111-1-1-1-111-1-1-111i−i−i−iiiii−i−i-1-1-11111-11-111-1-111-1-1-1-111−iiii−i−ii−iii−i−i−i−iii1-1-111-1−iii−i−ii
χ3211-1-1-1111-1-1−i−iii-111-111-1-1-1-111−ii-1-1-1-1111111-1-11-1-11111-1-1-1-1-111i−i−i−iiiii−i−i-1-1-11111-111-1-11-1-1-11111-1-1−iiii−i−ii−i−i−iiiii−i−i1-11-1-11i−i−ii−ii
χ3322222-12-1-1-10000222-12-122222200-1222-1-1222-1-1-12222222222-1-1-1-10000000000-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1000000
χ3422222-12-1-1-10000222-12-122222200-1222-1-1222-1-1-12-2-2-2-2-2-2-2-22-1-1-1-10000000000-1-1-1-1-1-122-1-2-2-2-2-1111111110000000000000000-1-11111000000
χ3522222-12-1-1-10000222-12-122-2-2-2-200-1222-1-1222-1-1-1-22i2i2i2i−2i−2i−2i−2i-211110000000000-1-1-1-1-1-1-2-212i2i−2i−2i1−i−i−i−iiiii000000000000000011−i−iii000000
χ3622222-12-1-1-10000222-12-122-2-2-2-200-1222-1-1222-1-1-1-2−2i−2i−2i−2i2i2i2i2i-211110000000000-1-1-1-1-1-1-2-21−2i−2i2i2i1iiii−i−i−i−i000000000000000011ii−i−i000000
χ3722222-12-1-1-10000-2-22-12-12222220012-2-21-12-2-2-1-1-12222222222-1-1-1-10000000000-111-111-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-10000000000000000111111000000
χ3822222-12-1-1-10000-2-22-12-12222220012-2-21-12-2-2-1-1-12-2-2-2-2-2-2-2-22-1-1-1-10000000000-111-111-2-2-12222-111111111000000000000000011-1-1-1-1000000
χ3922222-12-1-1-10000-2-22-12-122-2-2-2-20012-2-21-12-2-2-1-1-1-22i2i2i2i−2i−2i−2i−2i-211110000000000-111-111221−2i−2i2i2i1−i−i−i−iiiii0000000000000000-1-1ii−i−i000000
χ4022222-12-1-1-10000-2-22-12-122-2-2-2-20012-2-21-12-2-2-1-1-1-2−2i−2i−2i−2i2i2i2i2i-211110000000000-111-1112212i2i−2i−2i1iiii−i−i−i−i0000000000000000-1-1−i−iii000000
χ412222-22-22222222002-22-2222222-2-20-20002-200222-200000000-222220022222222-200-20000-20000-200000000-2-20000-2-200000000000000000000
χ422222-22-22222222002-22-222-2-2-2-2-2-20-20002-2002222000000002-2-2-2-2002222-2-2-2-2-200-2000020000200000000-2-200002200000000000000000000
χ432222-22-2222-2-2-2-2002-22-2222222220-20002-200222-200000000-2222200-2-2-2-2-2-2-2-2-200-20000-20000-2000000002200002200000000000000000000
χ442222-22-2222-2-2-2-2002-22-222-2-2-2-2220-20002-2002222000000002-2-2-2-200-2-2-2-22222-200-2000020000200000000220000-2-200000000000000000000
χ4522-2-222-22-2-22i2i−2i−2i00222-2-2-222-2-2−2i2i020002-2002-2-2200000000-222-2-2002i2i−2i−2i2i2i−2i−2i200-2000020000-200000000−2i2i0000−2i2i00000000000000000000
χ4622-2-222-22-2-22i2i−2i−2i00222-2-2-2-2-222−2i2i020002-2002-2-2-2000000002-2-222002i2i−2i−2i−2i−2i2i2i200-20000-20000200000000−2i2i00002i−2i00000000000000000000
χ4722-2-222-22-2-2−2i−2i2i2i00222-2-2-222-2-22i−2i020002-2002-2-2200000000-222-2-200−2i−2i2i2i−2i−2i2i2i200-2000020000-2000000002i−2i00002i−2i00000000000000000000
χ4822-2-222-22-2-2−2i−2i2i2i00222-2-2-2-2-2222i−2i020002-2002-2-2-2000000002-2-22200−2i−2i2i2i2i2i−2i−2i200-20000-200002000000002i−2i0000−2i2i00000000000000000000
χ4922-2-2-2-12-11100002-2212-1-2-222-2-200-1-2221-12-2-2-111-22i2i−2i−2i2i2i−2i−2i2-1-11100000000001-1-1-1112-212i−2i2i−2i-1−i−iii−i−iii0000000000000000-11−ii−ii000000
χ5022-2-2-2-12-11100002-2212-1-2-222-2-200-1-2221-12-2-2-111-2−2i−2i2i2i−2i−2i2i2i2-1-11100000000001-1-1-1112-21−2i2i−2i2i-1ii−i−iii−i−i0000000000000000-11i−ii−i000000
χ5122-2-2-2-12-11100002-2212-1-2-2-2-22200-1-2221-12-2-2-111222-2-2-2-222-211-1-100000000001-1-1-111-22-12-2-221-1-11111-1-100000000000000001-1-111-1000000
χ5222-2-2-2-12-11100002-2212-1-2-2-2-22200-1-2221-12-2-2-1112-2-22222-2-2-211-1-100000000001-1-1-111-22-1-222-2111-1-1-1-11100000000000000001-11-1-11000000
χ5322-2-2-2-12-1110000-22212-1-2-222-2-2001-2-2-2-1-1222-111-22i2i−2i−2i2i2i−2i−2i2-1-1110000000000111-1-1-1-221−2i2i−2i2i-1−i−iii−i−iii00000000000000001-1i−ii−i000000
χ5422-2-2-2-12-1110000-22212-1-2-222-2-2001-2-2-2-1-1222-111-2−2i−2i2i2i−2i−2i2i2i2-1-1110000000000111-1-1-1-2212i−2i2i−2i-1ii−i−iii−i−i00000000000000001-1−ii−ii000000
χ5522-2-2-2-12-1110000-22212-1-2-2-2-222001-2-2-2-1-1222-111222-2-2-2-222-211-1-10000000000111-1-1-12-2-1-222-21-1-11111-1-10000000000000000-111-1-11000000
χ5622-2-2-2-12-1110000-22212-1-2-2-2-222001-2-2-2-1-1222-1112-2-22222-2-2-211-1-10000000000111-1-1-12-2-12-2-22111-1-1-1-1110000000000000000-11-111-1000000
χ572-22i−2i020-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390020-202i−2i2-22i−2i00000002000-22i−2i01+i−1−i1−i−1+i1+i−1−i1−i−1+i02-22i−2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000002−2i2−i22−2i2−i2000000000000
χ582-22i−2i020-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390020-202i−2i2-22i−2i00000002000-22i−2i0−1−i1+i−1+i1−i−1−i1+i−1+i1−i02-22i−2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000−22−i2i2−22−i2i2000000000000
χ592-22i−2i020-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390020-202i−2i-22−2i2i00000002000-22i−2i01−i−1+i−1−i1+i−1+i1−i1+i−1−i0-22−2i2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i00000000−i2i22−2i2−i2−22000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.