Finite Group Databasebeta

← Group #14413106

Character table — Group #14413106

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222223333444444445555668888888888881010101010101010101010101010121212121212151515151616161616162020202020202020202020202020202024242424242430303030303030303030404040404040606060606060
order122234466644444451010101212444422121215202020202020303030228888888812121212442020202022226060606060604466888824242424242424241010202020204488888888121224242424448888
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
χ511111111111111-1-1111111111111-1-11-1-1-1-11111111111111111111-1-11111111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111-1-1111111-1-1-1-111-1-11-1-1-1-111111-1-1iiii−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−i11-1-1-1-1-1-1iiii−i−i−i−i11−i−iii11−i−iii
χ811111111111111-1-1111111-1-1-1-111-1-11-1-1-1-111111-1-1−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−iiiii11-1-1-1-1-1-1−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
χ131111111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-1-1-1
χ151111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1−i−iiiiiii−i−i−i−i-1-1111111−i−i−i−iiiii11−i−iii-1-1ii−i−i
χ161111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1ii−i−i−i−i−i−iiiii-1-1111111iiii−i−i−i−i11ii−i−i-1-1−i−iii
χ1711111-1-111111111-11111-1-11111-1-11-1111-1-1-1-1111-1-111-1-111-1-111111-111111111-1-111-1-11-1-1-11-11-111-1-111-1-1-1-111-1-1-1-111-1-111-1-11-11-11-11-11-11-1
χ1811111-1-111111111-11111-1-11111-1-11-1111-1-1-1-1111-1-1-1-111-1-11111111-111111111-1-111-1-11-1-1-1-11-11-1-111-1-111-1-111-1-1-1-1-1-111-1-1111-1-11-111-1-11-11
χ1911111-1-111111111-11111-1-1-1-1-1-1-1-11-1111-1-1-1-111111ii−i−i−i−iii-1-1-1-11-11111-1-1-1-1-1-111-1-1-1111i−i−iiii−i−i−i−iii-1-111-1-111ii−i−i−i−iii-11i−i−ii-11i−i−ii
χ2011111-1-111111111-11111-1-1-1-1-1-1-1-11-1111-1-1-1-111111−i−iiiii−i−i-1-1-1-11-11111-1-1-1-1-1-111-1-1-1111−iii−i−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i-11−iii−i-11−iii−i
χ2111111-1-11111111-111111-1-11111-1-1-111-1-111-1-1111-1-111-1-111-1-11111-1111111111-1-1-1-111-11-1-1-11-1111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-11-11-11-11-11-11
χ2211111-1-11111111-111111-1-11111-1-1-111-1-111-1-1111-1-1-1-111-1-1111111-1111111111-1-1-1-111-11-1-11-11-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111-111-11-1-111-11-1
χ2311111-1-11111111-111111-1-1-1-1-1-1-1-1-111-1-111-1-111111ii−i−i−i−iii-1-1-1-1-111111-1-1-1-1-1-1-1-1111-111−iii−iii−i−i−i−iii-1-1-1-11111ii−i−i−i−iii1-1−iii−i1-1−iii−i
χ2411111-1-11111111-111111-1-1-1-1-1-1-1-1-111-1-111-1-111111−i−iiiii−i−i-1-1-1-1-111111-1-1-1-1-1-1-1-1111-111i−i−ii−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i1-1i−i−ii1-1i−i−ii
χ2511111-1-1111-1-1-1-11-11111-1-11111111-1111-1-1-1-1111-1-111-1-111-1-11111-11-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11-11-111-1-111-1-111-1-11111-1-111-1-1111-11-11-1-11-11-11
χ2611111-1-1111-1-1-1-11-11111-1-11111111-1111-1-1-1-1111-1-1-1-111-1-1111111-11-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11-11-1-111-1-11111-1-1111111-1-111-1-11-1-11-11-111-11-1
χ2711111-1-1111-1-1-1-11-11111-1-1-1-1-1-1111-1111-1-1-1-111111ii−i−i−i−iii-1-1-1-1-11-1-1-1-11111-1-111-1-1-1111i−i−iiii−i−i−i−iii11-1-111-1-1−i−iiiii−i−i-11i−i−ii1-1−iii−i
χ2811111-1-1111-1-1-1-11-11111-1-1-1-1-1-1111-1111-1-1-1-111111−i−iiiii−i−i-1-1-1-1-11-1-1-1-11111-1-111-1-1-1111−iii−i−i−iiiii−i−i11-1-111-1-1ii−i−i−i−iii-11−iii−i1-1i−i−ii
χ2911111-1-1111-1-1-1-1-111111-1-1111111-111-1-111-1-1111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11-1111-1-111-1-11111-1-111-1-111-1-111-11-11-111-11-11-1
χ3011111-1-1111-1-1-1-1-111111-1-1111111-111-1-111-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-11-1-1-111-1-1111111-1-11111-1-111-1-1-111-11-11-1-11-11
χ3111111-1-1111-1-1-1-1-111111-1-1-1-1-1-111-111-1-111-1-111111ii−i−i−i−iii-1-1-1-11-1-1-1-1-11111-1-1-1-1111-111−iii−iii−i−i−i−iii1111-1-1-1-1−i−iiiii−i−i1-1−iii−i-11i−i−ii
χ3211111-1-1111-1-1-1-1-111111-1-1-1-1-1-111-111-1-111-1-111111−i−iiiii−i−i-1-1-1-11-1-1-1-1-11111-1-1-1-1111-111i−i−ii−i−iiiii−i−i1111-1-1-1-1ii−i−i−i−iii1-1i−i−ii-11−iii−i
χ332222-122-1-1-10000222222-1-1222200-1-1-1222222-1-1-12222222222-1-1-1-10000000000-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1000000
χ342222-122-1-1-10000222222-1-1222200-1-1-1222222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-1-1-1-1-122-1-1-2-2-2-2111111110000000000000000-1-11111000000
χ352222-122-1-1-10000222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-22i2i2i2i−2i−2i−2i−2i11110000000000-1-1-1-1-1-1-2-2112i2i−2i−2i−i−i−i−iiiii000000000000000011−i−iii000000
χ362222-122-1-1-10000222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i11110000000000-1-1-1-1-1-1-2-211−2i−2i2i2iiiii−i−i−i−i000000000000000011ii−i−i000000
χ372222-122-1-1-10000-2-22222-1-122220011-1-2-2-2-222-1-1-12222222222-1-1-1-10000000000-1-11111-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-10000000000000000111111000000
χ382222-122-1-1-10000-2-22222-1-122220011-1-2-2-2-222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-11111-2-2-1-1222211111111000000000000000011-1-1-1-1000000
χ392222-122-1-1-10000-2-22222-1-1-2-2-2-20011-1-2-2-2-222-1-1-1-2-22i2i2i2i−2i−2i−2i−2i11110000000000-1-111112211−2i−2i2i2i−i−i−i−iiiii0000000000000000-1-1ii−i−i000000
χ402222-122-1-1-10000-2-22222-1-1-2-2-2-20011-1-2-2-2-222-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i11110000000000-1-1111122112i2i−2i−2iiiii−i−i−i−i0000000000000000-1-1−i−iii000000
χ412222-1-2-2-1-1-100002-2222211222200-11-122-2-2-2-2-1-1-1-2-222-2-222-2-2-1-1-1-1000000000011-1-1112-2112-22-2-1-111-1-1110000000000000000-11-11-11000000
χ422222-1-2-2-1-1-100002-2222211222200-11-122-2-2-2-2-1-1-1-2-2-2-222-2-222-1-1-1-1000000000011-1-1112-211-22-2211-1-111-1-10000000000000000-111-11-1000000
χ432222-1-2-2-1-1-100002-2222211-2-2-2-200-11-122-2-2-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i1111000000000011-1-111-22-1-12i−2i−2i2i−i−iiiii−i−i00000000000000001-1−iii−i000000
χ442222-1-2-2-1-1-100002-2222211-2-2-2-200-11-122-2-2-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i1111000000000011-1-111-22-1-1−2i2i2i−2iii−i−i−i−iii00000000000000001-1i−i−ii000000
χ452222-1-2-2-1-1-10000-222222112222001-1-1-2-222-2-2-1-1-1-2-222-2-222-2-2-1-1-1-100000000001111-1-1-2211-22-22-1-111-1-11100000000000000001-11-11-1000000
χ462222-1-2-2-1-1-10000-222222112222001-1-1-2-222-2-2-1-1-1-2-2-2-222-2-222-1-1-1-100000000001111-1-1-22112-22-211-1-111-1-100000000000000001-1-11-11000000
χ472222-1-2-2-1-1-10000-22222211-2-2-2-2001-1-1-2-222-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i111100000000001111-1-12-2-1-1−2i2i2i−2i−i−iiiii−i−i0000000000000000-11i−i−ii000000
χ482222-1-2-2-1-1-10000-22222211-2-2-2-2001-1-1-2-222-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i111100000000001111-1-12-2-1-12i−2i−2i2iii−i−i−i−iii0000000000000000-11−iii−i000000
χ4922-2-2200-2-222i2i−2i−2i002-2-22002i−2i2i−2i000020000002-2-20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372i−2i2i−2i002i2i−2i−2i22-2-20000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ5022-2-2200-2-222i2i−2i−2i002-2-22002i−2i2i−2i000020000002-2-200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372i−2i2i−2i002i2i−2i−2i22-2-200000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ5122-2-2200-2-222i2i−2i−2i002-2-2200−2i2i−2i2i000020000002-2-20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2i2i−2i2i002i2i−2i−2i-2-2220000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ5222-2-2200-2-222i2i−2i−2i002-2-2200−2i2i−2i2i000020000002-2-200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2i2i−2i2i002i2i−2i−2i-2-22200000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ5322-2-2200-2-22−2i−2i2i2i002-2-22002i−2i2i−2i000020000002-2-20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372i−2i2i−2i00−2i−2i2i2i-2-2220000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ5422-2-2200-2-22−2i−2i2i2i002-2-22002i−2i2i−2i000020000002-2-200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372i−2i2i−2i00−2i−2i2i2i-2-22200000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ5522-2-2200-2-22−2i−2i2i2i002-2-2200−2i2i−2i2i000020000002-2-20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2i2i−2i2i00−2i−2i2i2i22-2-20000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ5622-2-2200-2-22−2i−2i2i2i002-2-2200−2i2i−2i2i000020000002-2-200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2i2i−2i2i00−2i−2i2i2i22-2-200000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ572-22-222-2-22-22-22-2002-22-22-222-2-22-200200002-2-22-22-20000000022-2-2002-22-22-22-22-20000002-20000000000002-200002-200000000000000000000
χ582-22-222-2-22-22-22-2002-22-22-2-2-2222-200200002-2-22-2-2200000000-2-222002-22-2-22-222-2000000-220000000000002-20000-2200000000000000000000
χ592-22-222-2-22-2-22-22002-22-22-222-2-2-2200200002-2-22-22-20000000022-2-200-22-22-22-222-20000002-2000000000000-220000-2200000000000000000000
χ602-22-222-2-22-2-22-22002-22-22-2-2-222-2200200002-2-22-2-2200000000-2-22200-22-222-22-22-2000000-22000000000000-2200002-200000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.