Finite Group Databasebeta

← Group #14413096

Character table — Group #14413096

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222223333444444445555668888888888881010101010101010101010101010121212121212151515151616161616162020202020202020202020202020202024242424242430303030303030303030404040404040606060606060
order122222366644444456610101044444410101212152020202030303044888888881212121244202020202222303060606060448888121224242424242424242020202020202288888888121224242424448888
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
χ31111111111111111111111-1-1-1-111111111111111-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1111111-1-1ii−i−i-1-1iiii−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−i−iii-1-1−i−i−i−iiiii111111-1-1−i−i−i−iiiii-1-1−i−iii-1-1−i−iii
χ511111111111111-1-111111111111111-1-11-1-1-1-111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111-1-1111111-1-1-1-11111-1-11-1-1-1-1111-1-1iiii−i−i−i−i-1-1-1-1-1-11111-1-1-1-111-1-1-1-111−i−iii-1-1iiii−i−i−i−i-1-1-1-111-1-1iiii−i−i−i−i11−i−iii11−i−iii
χ811111111111111-1-1111111-1-1-1-11111-1-11-1-1-1-1111-1-1−i−i−i−iiiii-1-1-1-1-1-11111-1-1-1-111-1-1-1-111ii−i−i-1-1−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
χ101111111111-1-1-1-1111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111111111-1-1ii−i−i-1-1iiii−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−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1-111iiii−i−i−i−i-1-1−i−iii11ii−i−i
χ131111111111-1-1-1-1-1-11111111111-1-111-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111111111-1-1-1-1-1-11111111111-1-111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1
χ151111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1-1-1111-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-1111111-1-1-1-111−i−iii-1-1iiii−i−i−i−i1111-1-111−i−i−i−iiiii11−i−iii-1-1ii−i−i
χ161111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1-1-1111-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-1111111-1-1-1-111ii−i−i-1-1−i−i−i−iiiii1111-1-111iiii−i−i−i−i11ii−i−i-1-1−i−iii
χ171111-1-1111111111-11-1-11111111-1-1-1-11-1111-1-1111-1-111-1-111-1-111111-111111111-1-111-1-11-11-11-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-11-11-11-11-11-1
χ181111-1-1111111111-11-1-11111111-1-1-1-11-1111-1-1111-1-1-1-111-1-11111111-111111111-1-111-1-11-1-11-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111-1-11-111-1-11-11
χ191111-1-1111111111-11-1-1111-1-1-1-1-1-1-1-11-1111-1-111111ii−i−i−i−iii-1-1-1-11-11111-1-1-1-1-1-111-1-1-11i−i−ii11ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii-11i−i−ii-11i−i−ii
χ201111-1-1111111111-11-1-1111-1-1-1-1-1-1-1-11-1111-1-111111−i−iiiii−i−i-1-1-1-11-11111-1-1-1-1-1-111-1-1-11−iii−i11−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i-11−iii−i-11−iii−i
χ211111-1-111111111-111-1-11111111-1-1-1-1-111-1-111111-1-111-1-111-1-11111-1111111111-1-1-1-111-11-11-11-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-11-11-11-11-11-11
χ221111-1-111111111-111-1-11111111-1-1-1-1-111-1-111111-1-1-1-111-1-1111111-1111111111-1-1-1-111-111-11-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111-111-11-1-111-11-1
χ231111-1-111111111-111-1-1111-1-1-1-1-1-1-1-1-111-1-11111111ii−i−i−i−iii-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1−iii−i11ii−i−i−i−iii-1-111-1-111ii−i−i−i−iii1-1−iii−i1-1−iii−i
χ241111-1-111111111-111-1-1111-1-1-1-1-1-1-1-1-111-1-11111111−i−iiiii−i−i-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1i−i−ii11−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i1-1i−i−ii1-1i−i−ii
χ251111-1-11111-1-1-1-11-11-1-1111111111-1-11-1111-1-1111-1-111-1-111-1-11111-11-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1-1-111-1-111-1-1-1-1111111-1-111-1-1111-11-11-1-11-11-11
χ261111-1-11111-1-1-1-11-11-1-1111111111-1-11-1111-1-1111-1-1-1-111-1-1111111-11-1-1-1-1-1-1-1-1-1-111-1-11-1-11-11-1-1-1-111-1-111-1-111111111-1-111-1-11-1-11-11-111-11-1
χ271111-1-11111-1-1-1-11-11-1-1111-1-1-1-111-1-11-1111-1-111111ii−i−i−i−iii-1-1-1-1-11-1-1-1-11111-1-111-1-1-11i−i−ii11ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i-11i−i−ii1-1−iii−i
χ281111-1-11111-1-1-1-11-11-1-1111-1-1-1-111-1-11-1111-1-111111−i−iiiii−i−i-1-1-1-1-11-1-1-1-11111-1-111-1-1-11−iii−i11−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii-11−iii−i1-1i−i−ii
χ291111-1-11111-1-1-1-1-111-1-1111111111-1-1-111-1-111111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-1-111-1-111-1-111-1-11111-1-111-1-111-11-11-111-11-11-1
χ301111-1-11111-1-1-1-1-111-1-1111111111-1-1-111-1-111111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11-1-1-1-1-111-1-11111-1-1111111-1-111-1-1-111-11-11-1-11-11
χ311111-1-11111-1-1-1-1-111-1-1111-1-1-1-111-1-1-111-1-11111111ii−i−i−i−iii-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1−iii−i11ii−i−i−i−iii11-1-111-1-1−i−iiiii−i−i1-1−iii−i-11i−i−ii
χ321111-1-11111-1-1-1-1-111-1-1111-1-1-1-111-1-1-111-1-11111111−i−iiiii−i−i-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1i−i−ii11−i−iiiii−i−i11-1-111-1-1ii−i−i−i−iii1-1i−i−ii-11−iii−i
χ33222222-1-1-1-10000222-1-122222220022-1-1-12222-1-1-12222222222-1-1-1-10000000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1000000
χ34222222-1-1-1-10000222-1-122222220022-1-1-12222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-1-1-1-1-122-2-2-2-2-1-1111111110000000000000000-1-11111000000
χ35222222-1-1-1-10000222-1-1222-2-2-2-20022-1-1-12222-1-1-1-2-22i2i2i2i−2i−2i−2i−2i11110000000000-1-1-1-1-1-1-2-22i2i−2i−2i11−i−i−i−iiiii000000000000000011−i−iii000000
χ36222222-1-1-1-10000222-1-1222-2-2-2-20022-1-1-12222-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i11110000000000-1-1-1-1-1-1-2-2−2i−2i2i2i11iiii−i−i−i−i000000000000000011ii−i−i000000
χ37222222-1-1-1-10000-2-22-1-12222222002211-1-2-2-2-2-1-1-12222222222-1-1-1-10000000000-1-11111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000000000111111000000
χ38222222-1-1-1-10000-2-22-1-12222222002211-1-2-2-2-2-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-11111-2-22222-1-111111111000000000000000011-1-1-1-1000000
χ39222222-1-1-1-10000-2-22-1-1222-2-2-2-2002211-1-2-2-2-2-1-1-1-2-22i2i2i2i−2i−2i−2i−2i11110000000000-1-1111122−2i−2i2i2i11−i−i−i−iiiii0000000000000000-1-1ii−i−i000000
χ40222222-1-1-1-10000-2-22-1-1222-2-2-2-2002211-1-2-2-2-2-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i11110000000000-1-11111222i2i−2i−2i11iiii−i−i−i−i0000000000000000-1-1−i−iii000000
χ412222-2-2-1-1-1-100002-2211222222200-2-2-11-122-2-2-1-1-1-2-222-2-222-2-2-1-1-1-1000000000011-1-1112-22-22-211-1-111-1-1110000000000000000-11-11-11000000
χ422222-2-2-1-1-1-100002-2211222222200-2-2-11-122-2-2-1-1-1-2-2-2-222-2-222-1-1-1-1000000000011-1-1112-2-22-221111-1-111-1-10000000000000000-111-11-1000000
χ432222-2-2-1-1-1-100002-2211222-2-2-2-200-2-2-11-122-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i1111000000000011-1-111-222i−2i−2i2i-1-1−i−iiiii−i−i00000000000000001-1−iii−i000000
χ442222-2-2-1-1-1-100002-2211222-2-2-2-200-2-2-11-122-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i1111000000000011-1-111-22−2i2i2i−2i-1-1ii−i−i−i−iii00000000000000001-1i−i−ii000000
χ452222-2-2-1-1-1-10000-22211222222200-2-21-1-1-2-222-1-1-1-2-222-2-222-2-2-1-1-1-100000000001111-1-1-22-22-2211-1-111-1-11100000000000000001-11-11-1000000
χ462222-2-2-1-1-1-10000-22211222222200-2-21-1-1-2-222-1-1-1-2-2-2-222-2-222-1-1-1-100000000001111-1-1-222-22-21111-1-111-1-100000000000000001-1-11-11000000
χ472222-2-2-1-1-1-10000-22211222-2-2-2-200-2-21-1-1-2-222-1-1-1222i2i−2i−2i−2i−2i2i2i111100000000001111-1-12-2−2i2i2i−2i-1-1−i−iiiii−i−i0000000000000000-11i−i−ii000000
χ482222-2-2-1-1-1-10000-22211222-2-2-2-200-2-21-1-1-2-222-1-1-122−2i−2i2i2i2i2i−2i−2i111100000000001111-1-12-22i−2i−2i2i-1-1ii−i−i−i−iii0000000000000000-11−iii−i000000
χ4922-2-22-22-2-2222-2-20022-2-2-2222-2-22-22-200200002-2-22-20000000022-2-20022-2-222-2-22-200000000002-20000000000002-22-200000000000000000000
χ5022-2-22-22-2-2222-2-20022-2-2-22-2-2222-22-200200002-2-2-2200000000-2-2220022-2-2-2-2222-20000000000-220000000000002-2-2200000000000000000000
χ5122-2-22-22-2-22-2-2220022-2-2-2222-2-2-222-200200002-2-22-20000000022-2-200-2-222-2-2222-200000000002-2000000000000-22-2200000000000000000000
χ5222-2-22-22-2-22-2-2220022-2-2-22-2-222-222-200200002-2-2-2200000000-2-22200-2-22222-2-22-20000000000-22000000000000-222-200000000000000000000
χ5322-2-2-222-2-2222-2-2002-22-2-2222-2-2-22-2200200002-2-2-220000000022-2-20022-2-222-2-2-220000000000-22000000000000-22-2200000000000000000000
χ5422-2-2-222-2-2222-2-2002-22-2-22-2-222-22-2200200002-2-22-200000000-2-2220022-2-2-2-222-2200000000002-2000000000000-222-200000000000000000000
χ5522-2-2-222-2-22-2-222002-22-2-2222-2-22-2-2200200002-2-2-220000000022-2-200-2-222-2-222-220000000000-220000000000002-22-200000000000000000000
χ5622-2-2-222-2-22-2-222002-22-2-22-2-2222-2-2200200002-2-22-200000000-2-22200-2-22222-2-2-2200000000002-20000000000002-2-2200000000000000000000
χ572-22-20022-2-22i−2i2i−2i002002-2-22i−2i2i−2i00000020000-22-20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392i−2i2i−2i002i−2i2i−2i2-22-20000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ582-22-20022-2-22i−2i2i−2i002002-2-22i−2i2i−2i00000020000-22-200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392i−2i2i−2i002i−2i2i−2i2-22-200000000000000002ζ13+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
χ592-22-20022-2-22i−2i2i−2i002002-2-2−2i2i−2i2i00000020000-22-20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2i2i−2i2i002i−2i2i−2i-22-220000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ602-22-20022-2-22i−2i2i−2i002002-2-2−2i2i−2i2i00000020000-22-200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2i2i−2i2i002i−2i2i−2i-22-2200000000000000002ζ7+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
χ612-22-20022-2-2−2i2i−2i2i002002-2-22i−2i2i−2i00000020000-22-20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392i−2i2i−2i00−2i2i−2i2i-22-220000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.