Finite Group Databasebeta

← Group #14295992

Character table — Group #14295992

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444444444555555555555666688888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020242424243030303030303030303030304848606060606060
order12223446662256666101010121244448888888888881520203030302288881212121224242424242424244410103030303060604466888812121212242424242424242424242424404040404444444488882020448888
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
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
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−i1111iiii−i−i−i−i-1-1-1-111-1-1ii−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-1-1-1-1−i−i−i−iiiii1111-1-111−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−i−i−i−iiiii-1-1-1-111-1-1−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-1-1-1-1iiii−i−i−i−i1111-1-111ii−i−i
χ91111111111-1-11-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ101111111111-1-11-1-1-1-111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ111111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ121111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ131111111111-1-11-1-1-1-111111-1-1-1-1iiii−i−i−i−i1111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111-1-1−i−iii1111ii−i−i−i−i−i−iiiii1111iiii−i−i−i−i-1-1-1-1-1-111−i−iii
χ141111111111-1-11-1-1-1-111111-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-11111-1-1−i−iii1111ii−i−i−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii111111-1-1ii−i−i
χ151111111111-1-11-1-1-1-111111-1-1-1-1−i−i−i−iiiii1111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111-1-1ii−i−i1111−i−iiiiiii−i−i−i−i1111−i−i−i−iiiii-1-1-1-1-1-111ii−i−i
χ161111111111-1-11-1-1-1-111111-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-11111-1-1ii−i−i1111−i−iiiiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i111111-1-1−i−iii
χ171-11-111-1-1-111-1111-1-1-11-11-111-1-111-1-111-1-1ii−i−i11-1-1-111-11-11-1-1-11111-1-111-1-1i−i1-111-1-11-11-11-11-11-111-1-11-111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181-11-111-1-1-111-1111-1-1-11-11-111-1-111-1-111-1-1−i−iii11-1-1-111-11-11-1-1-11111-1-111-1-1−ii1-111-1-11-11-11-11-11-111-1-11-111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191-11-111-1-1-111-1111-1-1-11-11-111-1-1-1-111-1-111ii−i−i11-1-1-111-1-11-11-1-111-1-111-1-111i−i1-111-1-11-11-11-1-11-1111-1-1-11-1-111-11-1-111ii−i−i−i−iii−i−iiiii−i−ii−ii−i−ii−ii
χ201-11-111-1-1-111-1111-1-1-11-11-111-1-1-1-111-1-111−i−iii11-1-1-111-1-11-11-1-111-1-111-1-111−ii1-111-1-11-11-11-1-11-1111-1-1-11-1-111-11-1-111−i−iiiii−i−iii−i−i−i−iii−ii−iii−ii−i
χ211-11-111-1-1-111-1111-1-1-11-11-1-1-111ii−i−i−i−iiiii−i−i11-1-1-11-11i−i−ii11-1-1ii−i−i−i−iiii−i1-111-1-11-1-11-11i−i−ii-1-111i−iii−i−i−ii−i−iiiii−i−i-1-11111-1-1−i−iiii−i−ii-111-1
χ221-11-111-1-1-111-1111-1-1-11-11-1-1-111ii−i−i−i−iii−i−iii11-1-1-11-11i−i−ii11-1-1ii−i−i−i−iii−ii1-111-1-11-1-11-11i−i−ii-1-111i−iii−i−i−ii−i−iii−i−iii11-1-1-1-111ii−i−i−iii−i1-1-11
χ231-11-111-1-1-111-1111-1-1-11-11-1-1-111−i−iiiii−i−iii−i−i11-1-1-11-11−iii−i11-1-1−i−iiiii−i−ii−i1-111-1-11-1-11-11−iii−i-1-111−ii−i−iiii−iii−i−iii−i−i11-1-1-1-111−i−iiii−i−ii1-1-11
χ241-11-111-1-1-111-1111-1-1-11-11-1-1-111−i−iiiii−i−i−i−iii11-1-1-11-11−iii−i11-1-1−i−iiiii−i−i−ii1-111-1-11-1-11-11−iii−i-1-111−ii−i−iiii−iii−i−i−i−iii-1-11111-1-1ii−i−i−iii−i-111-1
χ251-11-111-1-1-11-111-1-111-11-11-111-1-111-1-111-1-1ii−i−i11-1-1-111-11-11-1-1-11111-1-111-1-1−ii-11-1-1111-1-111-1-11-11-1-1111-1-1-1111-1-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ261-11-111-1-1-11-111-1-111-11-11-111-1-111-1-111-1-1−i−iii11-1-1-111-11-11-1-1-11111-1-111-1-1i−i-11-1-1111-1-111-1-11-11-1-1111-1-1-1111-1-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ271-11-111-1-1-11-111-1-111-11-11-111-1-1-1-111-1-111ii−i−i11-1-1-111-1-11-11-1-111-1-111-1-111−ii-11-1-1111-1-111-11-11-1-1-111-1111-1-1-1111-1-1ii−i−i−i−iii−i−iiiii−i−i−ii−iii−ii−i
χ281-11-111-1-1-11-111-1-111-11-11-111-1-1-1-111-1-111−i−iii11-1-1-111-1-11-11-1-111-1-111-1-111i−i-11-1-1111-1-111-11-11-1-1-111-1111-1-1-1111-1-1−i−iiiii−i−iii−i−i−i−iiii−ii−i−ii−ii
χ291-11-111-1-1-11-111-1-111-11-11-1-1-111ii−i−i−i−iiiii−i−i11-1-1-11-11i−i−ii11-1-1ii−i−i−i−iii−ii-11-1-1111-11-1-11−iii−i11-1-1i−i−i−iii−iiii−i−iii−i−i-1-11111-1-1−i−iii−iii−i1-1-11
χ301-11-111-1-1-11-111-1-111-11-11-1-1-111ii−i−i−i−iii−i−iii11-1-1-11-11i−i−ii11-1-1ii−i−i−i−iiii−i-11-1-1111-11-1-11−iii−i11-1-1i−i−i−iii−iiii−i−i−i−iii11-1-1-1-111ii−i−ii−i−ii-111-1
χ311-11-111-1-1-11-111-1-111-11-11-1-1-111−i−iiiii−i−iii−i−i11-1-1-11-11−iii−i11-1-1−i−iiiii−i−i−ii-11-1-1111-11-1-11i−i−ii11-1-1−iiii−i−ii−i−i−iiiii−i−i11-1-1-1-111−i−iii−iii−i-111-1
χ321-11-111-1-1-11-111-1-111-11-11-1-1-111−i−iiiii−i−i−i−iii11-1-1-11-11−iii−i11-1-1−i−iiiii−i−ii−i-11-1-1111-11-1-11i−i−ii11-1-1−iiii−i−ii−i−i−iii−i−iii-1-11111-1-1ii−i−ii−i−ii1-1-11
χ3322222-2-22220020000222-2-222222222222200002-2-2222-2-2-2-2-2-222222222222200000000-2-200-2-200000000-2-20000-2-20000000000000000000000000000
χ3422222-2-22220020000222-2-22222-2-2-2-2-2-2-2-200002-2-2222-2-222222222-2-2-2-2-2-2-2-200000000-2-200-2-200000000220000220000000000000000000000000000
χ3522222-2-22220020000222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i00002-2-222222−2i−2i2i2i-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000-2-2002200000000−2i−2i00002i2i0000000000000000000000000000
χ3622222-2-22220020000222-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i00002-2-2222222i2i−2i−2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000-2-20022000000002i2i0000−2i−2i0000000000000000000000000000
χ372222-122-1-1-1222-1-1-1-1222-1-12222222222220000-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ382222-122-1-1-1222-1-1-1-1222-1-12222-2-2-2-2-2-2-2-20000-122-1-1-122-2-2-2-2-1-1-1-1111111110022-1-1-1-1-1-122-1-1-2-2-2-2-1-1-1-1111111111111000000000000000000000000
χ392222-122-1-1-1222-1-1-1-1222-1-1-2-2-2-22i2i2i2i−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
χ402222-122-1-1-1222-1-1-1-1222-1-1-2-2-2-2−2i−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
χ412222-122-1-1-1-2-221111222-1-12222222222220000-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-2-21111-1-1-2-2-1-1-2-2-2-21111-1-11111-1-11111000000000000000000000000
χ422222-122-1-1-1-2-221111222-1-12222-2-2-2-2-2-2-2-20000-122-1-1-122-2-2-2-2-1-1-1-11111111100-2-21111-1-1-2-2-1-12222111111-1-1-1-111-1-1-1-1000000000000000000000000
χ432222-122-1-1-1-2-221111222-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-122-1-1-1-2-22i2i−2i−2i1111−i−i−i−iiiii00-2-21111-1-12211−2i−2i2i2i-1-1-1-1−i−iiiiiii−i−i−i−i000000000000000000000000
χ442222-122-1-1-1-2-221111222-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-122-1-1-1-2-2−2i−2i2i2i1111iiii−i−i−i−i00-2-21111-1-122112i2i−2i−2i-1-1-1-1ii−i−i−i−i−i−iiiii000000000000000000000000
χ452222-1-2-2-1-1-1002−i3i3−i3i3222112222222222220000-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000−i3i3−i3i31100110000−i3i3−i3i311−i3i3−i3i311−i3i3−i3i3000000000000000000000000
χ462222-1-2-2-1-1-1002−i3i3−i3i3222112222-2-2-2-2-2-2-2-20000-1-2-2-1-1-1-2-22222-1-1-1-1111111110000−i3i3−i3i31100110000−i3i3−i3i3-1-1i3−i3i3−i3-1-1i3−i3i3−i3000000000000000000000000
χ472222-1-2-2-1-1-1002−i3i3−i3i322211-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-1-2-2-1-1-122−2i−2i2i2i1111−i−i−i−iiiii0000−i3i3−i3i31100-1-10000i3−i3i3−i3ii3−33−3−i−i−33−33000000000000000000000000
χ482222-1-2-2-1-1-1002−i3i3−i3i322211-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-1-2-2-1-1-1222i2i−2i−2i1111iiii−i−i−i−i0000−i3i3−i3i31100-1-10000i3−i3i3−i3−i−i−33−33ii3−33−3000000000000000000000000
χ492222-1-2-2-1-1-1002i3−i3i3−i3222112222222222220000-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000i3−i3i3−i31100110000i3−i3i3−i311i3−i3i3−i311i3−i3i3−i3000000000000000000000000
χ502222-1-2-2-1-1-1002i3−i3i3−i3222112222-2-2-2-2-2-2-2-20000-1-2-2-1-1-1-2-22222-1-1-1-1111111110000i3−i3i3−i31100110000i3−i3i3−i3-1-1−i3i3−i3i3-1-1−i3i3−i3i3000000000000000000000000
χ512222-1-2-2-1-1-1002i3−i3i3−i322211-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-1-2-2-1-1-122−2i−2i2i2i1111−i−i−i−iiiii0000i3−i3i3−i31100-1-10000−i3i3−i3i3ii−33−33−i−i3−33−3000000000000000000000000
χ522222-1-2-2-1-1-1002i3−i3i3−i322211-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-1-2-2-1-1-1222i2i−2i−2i1111iiii−i−i−i−i0000i3−i3i3−i31100-1-10000−i3i3−i3i3−i−i3−33−3ii−33−33000000000000000000000000
χ5322-2-22002-2-20020000-2-22002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132−22−22002-2-20000002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000002−22−21+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2i2−i2i200000000
χ5422-2-22002-2-20020000-2-22002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−22−222002-2-20000002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000−22−22−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2−i2i2−i200000000
χ5522-2-22002-2-20020000-2-22002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132−22−22002-2-20000002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000002−22−2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2i2−i2i200000000
χ5622-2-22002-2-20020000-2-22002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−22−222002-2-20000002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000−22−221+i−1−i1+i−1−i1−i−1+i1−i−1+ii2−i2i2−i200000000
χ5722-2-22002-2-20020000-2-2200−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232−22−22002-2-2000000−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000002−22−21−i−1+i1−i−1+i1+i−1−i1+i−1−ii2−i2i2−i200000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.