Finite Group Databasebeta

← Group #14295977

Character table — Group #14295977

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444444444555555555555666688888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020242424243030303030303030303030304848606060606060
order12442346121224566610121212202022448888888844441015203060602466888812122424242424242424881020303030606060246668888121212242424242424242424242424202020204444888888884040444488
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
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ51111111111111111111111-1-1-1-1iiii−i−i−i−i1111111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111111111-1-1-1-1-1ii−i−i-1-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11ii−i−i-1-1
χ61111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-111111111-1-1-1-1-1ii−i−i-1-1-1iiiiii−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1−i−iii11
χ71111111111111111111111-1-1-1-1−i−i−i−iiiii1111111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111111111-1-1-1-1-1−i−iii-1-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−iiiii11−i−iii-1-1
χ81111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-111111111-1-1-1-1-1−i−iii-1-1-1−i−i−i−i−i−iiiiiii-1-1-1-11111iiii−i−i−i−i-1-1ii−i−i11
χ91111111111-1-111-1-111-1-1111111111111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-11-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ101111111111-1-111-1-111-1-111111111111111-1-1-1-111111111111111111111111111-1-11-1-11-1-1-1-11-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ111111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11-1-111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ121111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1-11-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ131111111111-1-111-1-111-1-111-1-1-1-1iiii−i−i−i−i1111111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-11-1-11-1-111-111−i−iii-111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1−i−iii11
χ141111111111-1-111-1-111-1-111-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i11-1-11-1-11-1-111-111−i−iii-111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11ii−i−i-1-1
χ151111111111-1-111-1-111-1-111-1-1-1-1−i−i−i−iiiii1111111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-11-1-11-1-111-111ii−i−i-111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1ii−i−i11
χ161111111111-1-111-1-111-1-111-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii11-1-11-1-11-1-111-111ii−i−i-111−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11−i−iii-1-1
χ1711-1-1-1111-1-11-11-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−i-1111-1-1-1111i−ii−i-1-1ii−i−iii−i−ii−i1-1-1111-1-11-1-111i−ii−i1-1-1i−iii−i−ii−iii−i−iii−i−iii−i−i11-1-111-1-1i−i1-11-1i−i
χ1811-1-1-1111-1-11-11-11111-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1111-1-1-1111i−ii−i-1-1ii−i−iii−i−i−ii1-1-1111-1-11-1-111i−ii−i1-1-1i−iii−i−ii−iii−i−i−i−iii−i−iii-1-111-1-111−ii-11-11−ii
χ1911-1-1-1111-1-11-11-11111-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1111-1-1-1111−ii−ii-1-1−i−iii−i−iiii−i1-1-1111-1-11-1-111−ii−ii1-1-1−ii−i−iii−ii−i−iiiii−i−iii−i−i-1-111-1-111i−i-11-11i−i
χ2011-1-1-1111-1-11-11-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii-1111-1-1-1111−ii−ii-1-1−i−iii−i−iii−ii1-1-1111-1-11-1-111−ii−ii1-1-1−ii−i−iii−ii−i−iii−i−iii−i−iii11-1-111-1-1−ii1-11-1−ii
χ2111-1-1-1111-1-11-11-11111-1-1-1-1-1-11111-1-1-1-111ii−i−i-1111-1-11-1-1-11-1-111111-1-1-1-111i−i1-1-1111-1-1-111-1-11-1-11-1111-111-1-1-11-1-111ii−i−i−i−iii−i−iiiii−i−ii−i−iii−i−ii
χ2211-1-1-1111-1-11-11-11111-1-1-1-1-1-11111-1-1-1-111−i−iii-1111-1-11-1-1-11-1-111111-1-1-1-111−ii1-1-1111-1-1-111-1-11-1-11-1111-111-1-1-11-1-111−i−iiiii−i−iii−i−i−i−iii−iii−i−iii−i
χ2311-1-1-1111-1-11-11-11111-1-1-1-1-1-111-1-11111-1-1ii−i−i-1111-1-11-1-1-1-111-111-1-11111-1-1i−i1-1-1111-1-1-111-1-1-111-1-111-11-1-1111-111-1-1ii−i−i−i−iiiii−i−i−i−iiii−ii−i−ii−ii
χ2411-1-1-1111-1-11-11-11111-1-1-1-1-1-111-1-11111-1-1−i−iii-1111-1-11-1-1-1-111-111-1-11111-1-1−ii1-1-1111-1-1-111-1-1-111-1-111-11-1-1111-111-1-1−i−iiiii−i−i−i−iiiii−i−i−ii−iii−ii−i
χ2511-1-1-1111-1-1-111-1-1-11111-1-111-1-1ii−i−iii−i−iii−i−i-1111-1-1-1111i−ii−i-1-1ii−i−iii−i−i−ii-11-1-1-1111-11-1-1-1−ii−ii111i−i−i−iiii−i−i−iiiii−i−iii−i−i11-1-111-1-1−ii-11-11−ii
χ2611-1-1-1111-1-1-111-1-1-11111-1-111-1-1ii−i−iii−i−i−i−iii-1111-1-1-1111i−ii−i-1-1ii−i−iii−i−ii−i-11-1-1-1111-11-1-1-1−ii−ii111i−i−i−iiii−i−i−iii−i−iii−i−iii-1-111-1-111i−i1-11-1i−i
χ2711-1-1-1111-1-1-111-1-1-11111-1-111-1-1−i−iii−i−iiiii−i−i-1111-1-1-1111−ii−ii-1-1−i−iii−i−iii−ii-11-1-1-1111-11-1-1-1i−ii−i111−iiii−i−i−iiii−i−iii−i−iii−i−i-1-111-1-111−ii1-11-1−ii
χ2811-1-1-1111-1-1-111-1-1-11111-1-111-1-1−i−iii−i−iii−i−iii-1111-1-1-1111−ii−ii-1-1−i−iii−i−iiii−i-11-1-1-1111-11-1-1-1i−ii−i111−iiii−i−i−iiii−i−i−i−iii−i−iii11-1-111-1-1i−i-11-11i−i
χ2911-1-1-1111-1-1-111-1-1-11111-1-1-1-11111-1-1-1-111ii−i−i-1111-1-11-1-1-11-1-111111-1-1-1-111−ii-11-1-1-11111-1111-111-1-1-1-11-1-1-111-1111-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−i−iii−i
χ3011-1-1-1111-1-1-111-1-1-11111-1-1-1-11111-1-1-1-111−i−iii-1111-1-11-1-1-11-1-111111-1-1-1-111i−i-11-1-1-11111-1111-111-1-1-1-11-1-1-111-1111-1-1−i−iiiii−i−iii−i−i−i−iiii−i−iii−i−ii
χ3111-1-1-1111-1-1-111-1-1-11111-1-1-1-111-1-11111-1-1ii−i−i-1111-1-11-1-1-1-111-111-1-11111-1-1−ii-11-1-1-11111-11111-1-11-1-1-1-1111-1-11-1-1-111ii−i−i−i−iiiii−i−i−i−iii−ii−iii−ii−i
χ3211-1-1-1111-1-1-111-1-1-11111-1-1-1-111-1-11111-1-1−i−iii-1111-1-11-1-1-1-111-111-1-11111-1-1i−i-11-1-1-11111-11111-1-11-1-1-1-1111-1-11-1-1-111−i−iiiii−i−i−i−iiiii−i−ii−ii−i−ii−ii
χ3322222-12-1-1-1222-1-1-12-1-1-12222222222222200002-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3422222-12-1-1-1222-1-1-12-1-1-1222222-2-2-2-2-2-2-2-200002-12-1-1-122-1-1-2-2-2-2-1-1111111110022-1-1-1-1-1-122-1-1-1-2-2-2-2-1-1-1111111111111000000000000000000000000
χ3522222-12-1-1-1222-1-1-12-1-1-122-2-2-2-22i2i2i2i−2i−2i−2i−2i00002-12-1-1-1-2-2112i2i−2i−2i11−i−i−i−iiiii0022-1-1-1-1-1-1-2-21112i2i−2i−2i111−i−i−i−i−i−iiiiiii000000000000000000000000
χ3622222-12-1-1-1222-1-1-12-1-1-122-2-2-2-2−2i−2i−2i−2i2i2i2i2i00002-12-1-1-1-2-211−2i−2i2i2i11iiii−i−i−i−i0022-1-1-1-1-1-1-2-2111−2i−2i2i2i111iiiiii−i−i−i−i−i−i000000000000000000000000
χ3722222-12-1-1-1-2-22-1112-1112222222222222200002-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-100-2-2-111-111-2-2-111-2-2-2-2-111-1-11111-1-11111000000000000000000000000
χ3822222-12-1-1-1-2-22-1112-111222222-2-2-2-2-2-2-2-200002-12-1-1-122-1-1-2-2-2-2-1-11111111100-2-2-111-111-2-2-1112222-11111-1-1-1-111-1-1-1-1000000000000000000000000
χ3922222-12-1-1-1-2-22-1112-11122-2-2-2-22i2i2i2i−2i−2i−2i−2i00002-12-1-1-1-2-2112i2i−2i−2i11−i−i−i−iiiii00-2-2-111-111221-1-1−2i−2i2i2i1-1-1−i−iiiiiii−i−i−i−i000000000000000000000000
χ4022222-12-1-1-1-2-22-1112-11122-2-2-2-2−2i−2i−2i−2i2i2i2i2i00002-12-1-1-1-2-211−2i−2i2i2i11iiii−i−i−i−i00-2-2-111-111221-1-12i2i−2i−2i1-1-1ii−i−i−i−i−i−iiiii000000000000000000000000
χ412222-22-2222002-2002-200222222222222220000-22-2222-2-222-2-2-2-222222222220000-200-20000-2000000-200-2-20000-2-20000000000000000000000000000
χ422222-22-2222002-2002-200222222-2-2-2-2-2-2-2-20000-22-2222-2-222222222-2-2-2-2-2-2-2-20000-200-20000-2000000-200220000220000000000000000000000000000
χ432222-22-2222002-2002-20022-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-22-222222-2-2−2i−2i2i2i-2-22i2i2i2i−2i−2i−2i−2i0000-200-200002000000200−2i−2i00002i2i0000000000000000000000000000
χ442222-22-2222002-2002-20022-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-22-222222-2-22i2i−2i−2i-2-2−2i−2i−2i−2i2i2i2i2i0000-200-2000020000002002i2i0000−2i−2i0000000000000000000000000000
χ452222-2-1-2-1-1-10021−i3i321−i3i3222222222222220000-2-1-2-1-1-1-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-100001−i3i31−i3i3001−i3i300001−i3i311−i3i3−i3i311−i3i3−i3i3000000000000000000000000
χ462222-2-1-2-1-1-10021−i3i321−i3i3222222-2-2-2-2-2-2-2-20000-2-1-2-1-1-1-2-2-1-12222-1-11111111100001−i3i31−i3i3001−i3i300001−i3i3-1-1i3−i3i3−i3-1-1i3−i3i3−i3000000000000000000000000
χ472222-2-1-2-1-1-10021−i3i321−i3i322-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-1-2-1-1-12211−2i−2i2i2i11−i−i−i−iiiii00001−i3i31−i3i300-1i3−i30000-1i3−i3ii3−33−3−i−i−33−33000000000000000000000000
χ482222-2-1-2-1-1-10021−i3i321−i3i322-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-1-2-1-1-122112i2i−2i−2i11iiii−i−i−i−i00001−i3i31−i3i300-1i3−i30000-1i3−i3−i−i−33−33ii3−33−3000000000000000000000000
χ492222-2-1-2-1-1-10021i3−i321i3−i3222222222222220000-2-1-2-1-1-1-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-100001i3−i31i3−i3001i3−i300001i3−i311i3−i3i3−i311i3−i3i3−i3000000000000000000000000
χ502222-2-1-2-1-1-10021i3−i321i3−i3222222-2-2-2-2-2-2-2-20000-2-1-2-1-1-1-2-2-1-12222-1-11111111100001i3−i31i3−i3001i3−i300001i3−i3-1-1−i3i3−i3i3-1-1−i3i3−i3i3000000000000000000000000
χ512222-2-1-2-1-1-10021i3−i321i3−i322-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-1-2-1-1-12211−2i−2i2i2i11−i−i−i−iiiii00001i3−i31i3−i300-1−i3i30000-1−i3i3ii−33−33−i−i3−33−3000000000000000000000000
χ522222-2-1-2-1-1-10021i3−i321i3−i322-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-1-2-1-1-122112i2i−2i−2i11iiii−i−i−i−i00001i3−i31i3−i300-1−i3i30000-1−i3i3−i−i3−33−3ii−33−33000000000000000000000000
χ5322-2-222-22-2-20022002-200-2-222-2-22i2i−2i−2i2i2i−2i−2i000022-22-2-22-222−2i2i−2i2i-2-22i2i−2i−2i2i2i−2i−2i0000200-200002000000-200−2i2i0000−2i2i0000000000000000000000000000
χ5422-2-222-22-2-20022002-200-2-222-2-2−2i−2i2i2i−2i−2i2i2i000022-22-2-22-2222i−2i2i−2i-2-2−2i−2i2i2i−2i−2i2i2i0000200-200002000000-2002i−2i00002i−2i0000000000000000000000000000
χ5522-2-222-22-2-20022002-200-2-2-2-22222-2-2-2-222000022-22-2-2-22-2-2-222-22222-2-2-2-2220000200-20000-2000000200-2200002-20000000000000000000000000000
χ5622-2-222-22-2-20022002-200-2-2-2-222-2-22222-2-2000022-22-2-2-22-2-22-2-2222-2-22222-2-20000200-20000-20000002002-20000-220000000000000000000000000000
χ5722-2-22-1-2-111002-1−i3i321i3−i3-2-222-2-22i2i−2i−2i2i2i−2i−2i00002-1-2-1112-2-1-1−2i2i−2i2i11−i−iii−i−iii0000-1−i3i31i3−i300-1−i3i300001i3−i3i−i3−3−33i−i3−3−33000000000000000000000000
χ5822-2-22-1-2-111002-1−i3i321i3−i3-2-222-2-2−2i−2i2i2i−2i−2i2i2i00002-1-2-1112-2-1-12i−2i2i−2i11ii−i−iii−i−i0000-1−i3i31i3−i300-1−i3i300001i3−i3−ii−333−3−ii−333−3000000000000000000000000
χ5922-2-22-1-2-111002-1−i3i321i3−i3-2-2-2-22222-2-2-2-22200002-1-2-111-2211-222-2-1-1-1-11111-1-10000-1−i3i31i3−i3001i3−i30000-1−i3i31-1−i3i3i3−i3-11i3−i3−i3i3000000000000000000000000
χ6022-2-22-1-2-111002-1−i3i321i3−i3-2-2-2-222-2-22222-2-200002-1-2-111-22112-2-22-1-111-1-1-1-1110000-1−i3i31i3−i3001i3−i30000-1−i3i3-11i3−i3−i3i31-1−i3i3i3−i3000000000000000000000000
χ6122-2-22-1-2-111002-1i3−i321−i3i3-2-222-2-22i2i−2i−2i2i2i−2i−2i00002-1-2-1112-2-1-1−2i2i−2i2i11−i−iii−i−iii0000-1i3−i31−i3i300-1i3−i300001−i3i3i−i−333−3i−i−333−3000000000000000000000000
χ6222-2-22-1-2-111002-1i3−i321−i3i3-2-222-2-2−2i−2i2i2i−2i−2i2i2i00002-1-2-1112-2-1-12i−2i2i−2i11ii−i−iii−i−i0000-1i3−i31−i3i300-1i3−i300001−i3i3−ii3−3−33−ii3−3−33000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.