Finite Group Databasebeta

← Group #14419304

Character table — Group #14419304

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444444444555555555555666688888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020242424243030303030303030303030304848606060606060
order122234466644510101012121212121244448888888844441520203030304488881212121224242424242424244420206060606060602466888812121212242424242424242424242424202020202244888888882020248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111-1-1-1-1iiii−i−i−i−i1111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111111111-1-1-1-1ii−i−i-1-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ61111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-111111111-1-1-1-1ii−i−i-1-1-1-1iiiiii−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii
χ71111111111111111111111-1-1-1-1−i−i−i−iiiii1111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111111111-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ81111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-111111111-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−iiiiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i
χ91111111111-1-1111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ101111111111-1-1111111-1-1-1-1111111111111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ121111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ131111111111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-11111−i−iii-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ141111111111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-11111−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ151111111111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-111-1-11111ii−i−i-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ161111111111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-11111ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii
χ1711111-1-11111-11111-1-1-1-11111111111111111-1-11-1-1111-1-1-1-1-1-1111111111111-11-1111-1-1-1-11-1111-11-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11-1-111-11-1
χ1811111-1-11111-11111-1-1-1-111111111111111-1-1111-1-1111-1-1-1-1-1-11111111111111-1-1111-1-1-1-11-1111-11-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-111-1-11-11
χ1911111-1-11111-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11-111-11-11-1-1-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1111-1-11-11-11
χ2011111-1-11111-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11-111-11-11-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-1-111-11-11-1
χ2111111-1-11111-11111-1-1-1-111-1-1-1-1iiii−i−i−i−i11-1-11-1-111111−i−iii-1-1-1-1iiii−i−i−i−i-11-1111-1-1-1-1-11-1-1i−i−ii1111−i−iii−i−iii−i−iii-1-111-1-111ii−i−i−i−iii1-11-1i−i−ii
χ2211111-1-11111-11111-1-1-1-111-1-1-1-1iiii−i−i−i−i-1-1111-1-111111−i−iii-1-1-1-1iiii−i−i−i−i1-1-1111-1-1-1-1-11-1-1i−i−ii1111−i−iii−i−iii−i−iii11-1-111-1-1−i−iiiii−i−i-11-11−iii−i
χ2311111-1-11111-11111-1-1-1-111-1-1-1-1−i−i−i−iiiii11-1-11-1-111111ii−i−i-1-1-1-1−i−i−i−iiiii-11-1111-1-1-1-1-11-1-1−iii−i1111ii−i−iii−i−iii−i−i-1-111-1-111−i−iiiii−i−i1-11-1−iii−i
χ2411111-1-11111-11111-1-1-1-111-1-1-1-1−i−i−i−iiiii-1-1111-1-111111ii−i−i-1-1-1-1−i−i−i−iiiii1-1-1111-1-1-1-1-11-1-1−iii−i1111ii−i−iii−i−iii−i−i11-1-111-1-1ii−i−i−i−iii-11-11i−i−ii
χ2511111-1-1111-111111-1-111-1-111111111111111-1-11-1-1111-1-1-1-1-1-11111111111111-11-1-1-1-1-111-11-1-1-11-11-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-111-1-11-11
χ2611111-1-1111-111111-1-111-1-1111111111111-1-1111-1-1111-1-1-1-1-1-1111111111111-111-1-1-1-1-111-11-1-1-11-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-111-11-1
χ2711111-1-1111-111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-11-1-11-11-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-111-111-11-11-1
χ2811111-1-1111-111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-11-11-1-1-1111111-1-11111-1-111-1-1-1-11111-1-111-1-11-1-11-11-11
χ2911111-1-1111-111111-1-111-1-1-1-1-1-1iiii−i−i−i−i11-1-11-1-111111−i−iii-1-1-1-1iiii−i−i−i−i1-11-1-1-1-1-1111-111−iii−i11-1-1−i−i−i−iiiiiii−i−i-1-111-1-111ii−i−i−i−iii-11-11−iii−i
χ3011111-1-1111-111111-1-111-1-1-1-1-1-1iiii−i−i−i−i-1-1111-1-111111−i−iii-1-1-1-1iiii−i−i−i−i-111-1-1-1-1-1111-111−iii−i11-1-1−i−i−i−iiiiiii−i−i11-1-111-1-1−i−iiiii−i−i1-11-1i−i−ii
χ3111111-1-1111-111111-1-111-1-1-1-1-1-1−i−i−i−iiiii11-1-11-1-111111ii−i−i-1-1-1-1−i−i−i−iiiii1-11-1-1-1-1-1111-111i−i−ii11-1-1iiii−i−i−i−i−i−iii-1-111-1-111−i−iiiii−i−i-11-11i−i−ii
χ3211111-1-1111-111111-1-111-1-1-1-1-1-1−i−i−i−iiiii-1-1111-1-111111ii−i−i-1-1-1-1−i−i−i−iiiii-111-1-1-1-1-1111-111i−i−ii11-1-1iiii−i−i−i−i−i−iii11-1-111-1-1ii−i−i−i−iii1-11-1−iii−i
χ332222-122-1-1-1222222-1-1-1-1-1-12222222222220000-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ342222-122-1-1-1222222-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000-122-1-1-122-2-2-2-2-1-1-1-1111111110022-1-1-1-1-1-122-1-1-2-2-2-2-1-1-1-1111111111111000000000000000000000000
χ352222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-122-1-1-1-2-22i2i−2i−2i1111−i−i−i−iiiii0022-1-1-1-1-1-1-2-2112i2i−2i−2i1111−i−i−i−i−i−iiiiiii000000000000000000000000
χ362222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-122-1-1-1-2-2−2i−2i2i2i1111iiii−i−i−i−i0022-1-1-1-1-1-1-2-211−2i−2i2i2i1111iiiiii−i−i−i−i−i−i000000000000000000000000
χ372222-122-1-1-1-2-22222-1-111112222222222220000-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-2-211-1-111-2-211-2-2-2-2-1-111-1-11111-1-11111000000000000000000000000
χ382222-122-1-1-1-2-22222-1-111112222-2-2-2-2-2-2-2-20000-122-1-1-122-2-2-2-2-1-1-1-11111111100-2-211-1-111-2-2112222-1-11111-1-1-1-111-1-1-1-1000000000000000000000000
χ392222-122-1-1-1-2-22222-1-11111-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-122-1-1-1-2-22i2i−2i−2i1111−i−i−i−iiiii00-2-211-1-11122-1-1−2i−2i2i2i11-1-1−i−iiiiiii−i−i−i−i000000000000000000000000
χ402222-122-1-1-1-2-22222-1-11111-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-122-1-1-1-2-2−2i−2i2i2i1111iiii−i−i−i−i00-2-211-1-11122-1-12i2i−2i−2i11-1-1ii−i−i−i−i−i−iiiii000000000000000000000000
χ412222-1-2-2-1-1-12-222221111-1-12222222222220000-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-100-22-1-111112-2-1-12-22-2111111-1-11111-1-111000000000000000000000000
χ422222-1-2-2-1-1-12-222221111-1-12222-2-2-2-2-2-2-2-20000-1-2-2-1-1-1-2-22222-1-1-1-11111111100-22-1-111112-2-1-1-22-221111-1-111-1-1-1-111-1-1000000000000000000000000
χ432222-1-2-2-1-1-12-222221111-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-1-2-2-1-1-122−2i−2i2i2i1111−i−i−i−iiiii00-22-1-11111-22112i−2i−2i2i-1-1-1-1ii−i−iii−i−iii−i−i000000000000000000000000
χ442222-1-2-2-1-1-12-222221111-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-1-2-2-1-1-1222i2i−2i−2i1111iiii−i−i−i−i00-22-1-11111-2211−2i2i2i−2i-1-1-1-1−i−iii−i−iii−i−iii000000000000000000000000
χ452222-1-2-2-1-1-1-22222211-1-1112222222222220000-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1002-21111-1-1-2211-22-2211-1-11111-1-11111-1-1000000000000000000000000
χ462222-1-2-2-1-1-1-22222211-1-1112222-2-2-2-2-2-2-2-20000-1-2-2-1-1-1-2-22222-1-1-1-111111111002-21111-1-1-22112-22-211-1-1-1-1-1-111-1-1-1-111000000000000000000000000
χ472222-1-2-2-1-1-1-22222211-1-111-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-1-2-2-1-1-122−2i−2i2i2i1111−i−i−i−iiiii002-21111-1-12-2-1-1−2i2i2i−2i-1-111iiii−i−i−i−i−i−iii000000000000000000000000
χ482222-1-2-2-1-1-1-22222211-1-111-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-1-2-2-1-1-1222i2i−2i−2i1111iiii−i−i−i−i002-21111-1-12-2-1-12i−2i−2i2i-1-111−i−i−i−iiiiiii−i−i000000000000000000000000
χ4922-2-222i−2i-22-2002-2-222i−2i000022-2-222-2-222-2-2000022i−2i-22-22i−2i2i−2i2i−2i22-2-222-2-222-2-20000002i−2i00000000002i−2i002i−2i00002i−2i0000000000000000000000000000
χ5022-2-222i−2i-22-2002-2-222i−2i000022-2-2-2-222-2-222000022i−2i-22-22i−2i−2i2i−2i2i22-2-2-2-222-2-2220000002i−2i00000000002i−2i00−2i2i0000−2i2i0000000000000000000000000000
χ5122-2-222i−2i-22-2002-2-222i−2i0000-2-2222i2i−2i−2i−2i−2i2i2i000022i−2i-22-2−2i2i-222-2-2-2222i2i−2i−2i−2i−2i2i2i0000002i−2i0000000000−2i2i00-2200002-20000000000000000000000000000
χ5222-2-222i−2i-22-2002-2-222i−2i0000-2-222−2i−2i2i2i2i2i−2i−2i000022i−2i-22-2−2i2i2-2-22-2-222−2i−2i2i2i2i2i−2i−2i0000002i−2i0000000000−2i2i002-20000-220000000000000000000000000000
χ5322-2-22−2i2i-22-2002-2-22−2i2i000022-2-222-2-222-2-200002−2i2i-22-2−2i2i−2i2i−2i2i22-2-222-2-222-2-2000000−2i2i0000000000−2i2i00−2i2i0000−2i2i0000000000000000000000000000
χ5422-2-22−2i2i-22-2002-2-22−2i2i000022-2-2-2-222-2-22200002−2i2i-22-2−2i2i2i−2i2i−2i22-2-2-2-222-2-222000000−2i2i0000000000−2i2i002i−2i00002i−2i0000000000000000000000000000
χ5522-2-22−2i2i-22-2002-2-22−2i2i0000-2-2222i2i−2i−2i−2i−2i2i2i00002−2i2i-22-22i−2i2-2-22-2-2222i2i−2i−2i−2i−2i2i2i000000−2i2i00000000002i−2i002-20000-220000000000000000000000000000
χ5622-2-22−2i2i-22-2002-2-22−2i2i0000-2-222−2i−2i2i2i2i2i−2i−2i00002−2i2i-22-22i−2i-222-2-2-222−2i−2i2i2i2i2i−2i−2i000000−2i2i00000000002i−2i00-2200002-20000000000000000000000000000
χ5722-2-2-12i−2i1-11002-2-22−ii3−3−i3i322-2-222-2-222-2-20000-12i−2i1-112i−2i2i−2i2i−2i-1-111-1-111-1-1110000−i3i3−ii3−300−i3i30000−ii3−3−ii−i3i33−3−ii−i3i33−3000000000000000000000000
χ5822-2-2-12i−2i1-11002-2-22−ii3−3−i3i322-2-2-2-222-2-2220000-12i−2i1-112i−2i−2i2i−2i2i-1-11111-1-111-1-10000−i3i3−ii3−300−i3i30000−ii3−3i−ii3−i3−33i−ii3−i3−33000000000000000000000000
χ5922-2-2-12i−2i1-11002-2-22−ii3−3−i3i3-2-2222i2i−2i−2i−2i−2i2i2i0000-12i−2i1-11−2i2i-222-211-1-1−i−iiiii−i−i0000−i3i3−ii3−300i3−i30000i−i−331-13−3i3−i3-11−33−i3i3000000000000000000000000
χ6022-2-2-12i−2i1-11002-2-22−ii3−3−i3i3-2-222−2i−2i2i2i2i2i−2i−2i0000-12i−2i1-11−2i2i2-2-2211-1-1ii−i−i−i−iii0000−i3i3−ii3−300i3−i30000i−i−33-11−33−i3i31-13−3i3−i3000000000000000000000000
χ6122-2-2-12i−2i1-11002-2-22−ii−33i3−i322-2-222-2-222-2-20000-12i−2i1-112i−2i2i−2i2i−2i-1-111-1-111-1-1110000i3−i3−ii−3300i3−i30000−ii−33−iii3−i3−33−iii3−i3−33000000000000000000000000
χ6222-2-2-12i−2i1-11002-2-22−ii−33i3−i322-2-2-2-222-2-2220000-12i−2i1-112i−2i−2i2i−2i2i-1-11111-1-111-1-10000i3−i3−ii−3300i3−i30000−ii−33i−i−i3i33−3i−i−i3i33−3000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.