Finite Group Databasebeta

← Group #14419092

Character table — Group #14419092

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222223333444444445555668888888888881010101010101010101010101010121212121212151515151616161616162020202020202020202020202020202024242424242430303030303030303030404040404040606060606060
order122234466644442251010101212444422661010101015202030303044888888881212121244202020204444303030306060448888121224242424242424241010202020204488888888121224242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-1-1-111111111111111-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-1111111-1-1ii−i−i-1-1ii−i−iii−i−i111111-1-1ii−i−iii−i−i-1-1ii−i−i-1-1ii−i−i
χ41111111111111111111111-1-1-1-111111111111111-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-1111111-1-1−i−iii-1-1−i−iii−i−iii111111-1-1−i−iii−i−iii-1-1−i−iii-1-1−i−iii
χ511111111111111-1-1111111111111-1-1-1-1-1-111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1ii−i−iii−i−i-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii-1-1ii−i−iii−i−i11-1-1-1-1-1-1ii−i−iii−i−i11−i−iii11−i−iii
χ811111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1−i−iii−i−iii-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i-1-1−i−iii−i−iii11-1-1-1-1-1-1−i−iii−i−iii11ii−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
χ101111111111-1-1-1-1111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-11111111111-1-1ii−i−i-1-1ii−i−iii−i−i-1-1-1-1-1-111−i−iii−i−iii-1-1ii−i−i11−i−iii
χ121111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−iii-1-1−i−iii−i−iii-1-1-1-1-1-111ii−i−iii−i−i-1-1−i−iii11ii−i−i
χ131111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-1-1-1
χ151111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i-1-1-1-111-1-1-1-11111-1-1-1-11111−i−iii-1-1ii−i−iii−i−i-1-1111111−i−iii−i−iii11−i−iii-1-1ii−i−i
χ161111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iii-1-1-1-111-1-1-1-11111-1-1-1-11111ii−i−i-1-1−i−iii−i−iii-1-1111111ii−i−iii−i−i11ii−i−i-1-1−i−iii
χ1711111-1-111111111-11111-1-11111-1-11-111-1-11-1-1111-1-11111-1-1-1-111111-11111111111-1-1-1-11-11-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-11-11-11-11-11-1
χ1811111-1-111111111-11111-1-11111-1-11-111-1-11-1-1111-1-1-1-1-1-1111111111-11111111111-1-1-1-11-1-11-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11-111-1-11-11
χ1911111-1-111111111-11111-1-1-1-1-1-1-1-11-111-1-11-1-111111ii−i−i−i−iii-1-1-1-11-11111-1-1-1-111-1-1-1-1-11i−i−ii11−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i-11i−i−ii-11i−i−ii
χ2011111-1-111111111-11111-1-1-1-1-1-1-1-11-111-1-11-1-111111−i−iiiii−i−i-1-1-1-11-11111-1-1-1-111-1-1-1-1-11−iii−i11ii−i−i−i−iii-1-111-1-111ii−i−i−i−iii-11−iii−i-11−iii−i
χ2111111-1-11111111-111111-1-11111-1-1-11-1-1111-1-1111-1-11111-1-1-1-11111-1111111111-1-111-1-1-11-11-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-11-11-11-11-11
χ2211111-1-11111111-111111-1-11111-1-1-11-1-1111-1-1111-1-1-1-1-1-111111111-1111111111-1-111-1-1-111-11-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-11-1-111-11-1
χ2311111-1-11111111-111111-1-1-1-1-1-1-1-1-11-1-1111-1-111111ii−i−i−i−iii-1-1-1-1-111111-1-1-1-1-1-111-1-11-1−iii−i11−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i1-1−iii−i1-1−iii−i
χ2411111-1-11111111-111111-1-1-1-1-1-1-1-1-11-1-1111-1-111111−i−iiiii−i−i-1-1-1-1-111111-1-1-1-1-1-111-1-11-1i−i−ii11ii−i−i−i−iii-1-1-1-11111ii−i−i−i−iii1-1i−i−ii1-1i−i−ii
χ2511111-1-1111-1-1-1-11-11111-1-11111111-111-1-11-1-1111-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-111-1-1-1-11-11-11-1-1-1-1-1-1-1111111-1-111111111-1-1-1-11-11-11-1-11-11-11
χ2611111-1-1111-1-1-1-11-11111-1-11111111-111-1-11-1-1111-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-111-1-1-1-11-1-11-11-1-11111-1-1-1-111-1-11111-1-1-1-111111-1-11-11-111-11-1
χ2711111-1-1111-1-1-1-11-11111-1-1-1-1-1-1111-111-1-11-1-111111ii−i−i−i−iii-1-1-1-1-11-1-1-1-1111111-1-1-1-1-11i−i−ii11−i−iiiii−i−i11-1-111-1-1ii−i−i−i−iii-11i−i−ii1-1−iii−i
χ2811111-1-1111-1-1-1-11-11111-1-1-1-1-1-1111-111-1-11-1-111111−i−iiiii−i−i-1-1-1-1-11-1-1-1-1111111-1-1-1-1-11−iii−i11ii−i−i−i−iii11-1-111-1-1−i−iiiii−i−i-11−iii−i1-1i−i−ii
χ2911111-1-1111-1-1-1-1-111111-1-1111111-11-1-1111-1-1111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-11-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11-11-111-11-11-1
χ3011111-1-1111-1-1-1-1-111111-1-1111111-11-1-1111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-111-11-11-1-11-11
χ3111111-1-1111-1-1-1-1-111111-1-1-1-1-1-111-11-1-1111-1-111111ii−i−i−i−iii-1-1-1-11-1-1-1-1-11111-1-111-1-11-1−iii−i11−i−iiiii−i−i1111-1-1-1-1ii−i−i−i−iii1-1−iii−i-11i−i−ii
χ3211111-1-1111-1-1-1-1-111111-1-1-1-1-1-111-11-1-1111-1-111111−i−iiiii−i−i-1-1-1-11-1-1-1-1-11111-1-111-1-11-1i−i−ii11ii−i−i−i−iii1111-1-1-1-1−i−iiiii−i−i1-1i−i−ii-11−iii−i
χ332222-122-1-1-10000222222-1-1222200-1-12222-122-1-1-12222222222-1-1-1-10000000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1000000
χ342222-122-1-1-10000222222-1-1222200-1-12222-122-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-1-1-1-1-122-2-2-2-2-1-1111111110000000000000000-1-11111000000
χ352222-122-1-1-10000222222-1-1-2-2-2-200-1-12222-122-1-1-1-2-22i2i−2i−2i2i2i−2i−2i11110000000000-1-1-1-1-1-1-2-22i2i−2i−2i11−i−iii−i−iii000000000000000011−i−iii000000
χ362222-122-1-1-10000222222-1-1-2-2-2-200-1-12222-122-1-1-1-2-2−2i−2i2i2i−2i−2i2i2i11110000000000-1-1-1-1-1-1-2-2−2i−2i2i2i11ii−i−iii−i−i000000000000000011ii−i−i000000
χ372222-122-1-1-10000-2-22222-1-122220011-2-2-2-2-122-1-1-12222222222-1-1-1-100000000001111-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000000000111111000000
χ382222-122-1-1-10000-2-22222-1-122220011-2-2-2-2-122-1-1-122-2-2-2-2-2-2-2-2-1-1-1-100000000001111-1-1-2-22222-1-111111111000000000000000011-1-1-1-1000000
χ392222-122-1-1-10000-2-22222-1-1-2-2-2-20011-2-2-2-2-122-1-1-1-2-22i2i−2i−2i2i2i−2i−2i111100000000001111-1-122−2i−2i2i2i11−i−iii−i−iii0000000000000000-1-1ii−i−i000000
χ402222-122-1-1-10000-2-22222-1-1-2-2-2-20011-2-2-2-2-122-1-1-1-2-2−2i−2i2i2i−2i−2i2i2i111100000000001111-1-1222i2i−2i−2i11ii−i−iii−i−i0000000000000000-1-1−i−iii000000
χ412222-1-2-2-1-1-100002-2222211222200-1122-2-2-1-2-2-1-1-1-2-22222-2-2-2-2-1-1-1-10000000000-1-111112-22-22-2111111-1-1-1-10000000000000000-11-11-11000000
χ422222-1-2-2-1-1-100002-2222211222200-1122-2-2-1-2-2-1-1-1-2-2-2-2-2-22222-1-1-1-10000000000-1-111112-2-22-2211-1-1-1-111110000000000000000-111-11-1000000
χ432222-1-2-2-1-1-100002-2222211-2-2-2-200-1122-2-2-1-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i11110000000000-1-11111-222i−2i−2i2i-1-1ii−i−i−i−iii00000000000000001-1−iii−i000000
χ442222-1-2-2-1-1-100002-2222211-2-2-2-200-1122-2-2-1-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i11110000000000-1-11111-22−2i2i2i−2i-1-1−i−iiiii−i−i00000000000000001-1i−i−ii000000
χ452222-1-2-2-1-1-10000-222222112222001-1-2-222-1-2-2-1-1-1-2-22222-2-2-2-2-1-1-1-1000000000011-1-111-22-22-22111111-1-1-1-100000000000000001-11-11-1000000
χ462222-1-2-2-1-1-10000-222222112222001-1-2-222-1-2-2-1-1-1-2-2-2-2-2-22222-1-1-1-1000000000011-1-111-222-22-211-1-1-1-1111100000000000000001-1-11-11000000
χ472222-1-2-2-1-1-10000-22222211-2-2-2-2001-1-2-222-1-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i1111000000000011-1-1112-2−2i2i2i−2i-1-1ii−i−i−i−iii0000000000000000-11i−i−ii000000
χ482222-1-2-2-1-1-10000-22222211-2-2-2-2001-1-2-222-1-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i1111000000000011-1-1112-22i−2i−2i2i-1-1−i−iiiii−i−i0000000000000000-11−iii−i000000
χ4922-2-222-22-2-222-2-2002-2-222-22i−2i2i−2i2-200000022-2-2-222i−2i000000002i−2i2i−2i0022-2-22i2i−2i−2i00002-20000002i−2i000000002-200002i−2i00000000000000000000
χ5022-2-222-22-2-222-2-2002-2-222-2−2i2i−2i2i2-200000022-2-2-22−2i2i00000000−2i2i−2i2i0022-2-2−2i−2i2i2i00002-2000000−2i2i000000002-20000−2i2i00000000000000000000
χ5122-2-222-22-2-2-2-222002-2-222-22i−2i2i−2i-2200000022-2-2-222i−2i000000002i−2i2i−2i00-2-222−2i−2i2i2i00002-20000002i−2i00000000-220000−2i2i00000000000000000000
χ5222-2-222-22-2-2-2-222002-2-222-2−2i2i−2i2i-2200000022-2-2-22−2i2i00000000−2i2i−2i2i00-2-2222i2i−2i−2i00002-2000000−2i2i00000000-2200002i−2i00000000000000000000
χ5322-2-22-222-2-222-2-2002-2-22-222i−2i2i−2i-220000002-22-2-22−2i2i000000002i−2i2i−2i0022-2-22i2i−2i−2i0000-22000000−2i2i00000000-220000−2i2i00000000000000000000
χ5422-2-22-222-2-222-2-2002-2-22-22−2i2i−2i2i-220000002-22-2-222i−2i00000000−2i2i−2i2i0022-2-2−2i−2i2i2i0000-220000002i−2i00000000-2200002i−2i00000000000000000000
χ5522-2-22-222-2-2-2-222002-2-22-222i−2i2i−2i2-20000002-22-2-22−2i2i000000002i−2i2i−2i00-2-222−2i−2i2i2i0000-22000000−2i2i000000002-200002i−2i00000000000000000000
χ5622-2-22-222-2-2-2-222002-2-22-22−2i2i−2i2i2-20000002-22-2-222i−2i00000000−2i2i−2i2i00-2-2222i2i−2i−2i0000-220000002i−2i000000002-20000−2i2i00000000000000000000
χ572-22-2200-2-222i−2i2i−2i0022-2-20022-2-2000000002002-2-2002-22-20000-2-222002i−2i2i−2i2i−2i2i−2i0000000000000000002-22-20000000000002i−2i2i−2i000000000000
χ582-22-2200-2-222i−2i2i−2i0022-2-20022-2-2000000002002-2-200-22-220000-2-222002i−2i2i−2i2i−2i2i−2i000000000000000000-22-22000000000000−2i2i−2i2i000000000000
χ592-22-2200-2-222i−2i2i−2i0022-2-200-2-222000000002002-2-2002i−2i−2i2i000022-2-2002i−2i2i−2i−2i2i−2i2i0000000000000000002i−2i−2i2i000000000000-222-2000000000000
χ602-22-2200-2-222i−2i2i−2i0022-2-200-2-222000000002002-2-200−2i2i2i−2i000022-2-2002i−2i2i−2i−2i2i−2i2i000000000000000000−2i2i2i−2i0000000000002-2-22000000000000
χ612-22-2200-2-22−2i2i−2i2i0022-2-20022-2-2000000002002-2-2002-22-20000-2-22200−2i2i−2i2i−2i2i−2i2i0000000000000000002-22-2000000000000−2i2i−2i2i000000000000
χ622-22-2200-2-22−2i2i−2i2i0022-2-20022-2-2000000002002-2-200-22-220000-2-22200−2i2i−2i2i−2i2i−2i2i000000000000000000-22-220000000000002i−2i2i−2i000000000000
χ632-22-2200-2-22−2i2i−2i2i0022-2-200-2-222000000002002-2-2002i−2i−2i2i000022-2-200−2i2i−2i2i2i−2i2i−2i0000000000000000002i−2i−2i2i0000000000002-2-22000000000000
χ642-22-2200-2-22−2i2i−2i2i0022-2-200-2-222000000002002-2-200−2i2i2i−2i000022-2-200−2i2i−2i2i2i−2i2i−2i000000000000000000−2i2i2i−2i000000000000-222-2000000000000
χ652-2-22200-22-22i−2i−2i2i002-22-2002i−2i−2i2i00000000200-22-2000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2i2i2i−2i002i−2i−2i2i-222-200000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000000000
χ662-2-22200-22-22i−2i−2i2i002-22-2002i−2i−2i2i00000000200-22-20000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2i2i2i−2i002i−2i−2i2i-222-2000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.