Finite Group Databasebeta

← Group #14327205

Character table — Group #14327205

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222444444444455556688888888881010101010101010101010101010101010101010101012121212121212161616161616202020202020202020202020202020202020202020202020242424242424303030303030606060606060606060
order12222222344666566661010101212222244101010101520203030302222444444666612121212121212124442020202030303030606044444466661212121212121212121212121212202020202020444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111
χ5111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111111111111ii−i−ii−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i111111-1-1ii−i−i-1-1-1i−iii−i−i
χ6111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111111111111−i−iii−ii-1-1-1-1-1-1−i−iii−i−i−i−iiiii111111-1-1−i−iii-1-1-1−ii−i−iii
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1111111ii−i−ii−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-111−i−iii111−ii−i−iii
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1111111−i−iii−ii-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-111ii−i−i111i−iii−i−i
χ9111111-1-11-1-1111111-1-1111-1-111111111-1-11-1-111111-1-1-1-11111111111111111-11-1111111-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-11-1-1-11-11-1
χ10111111-1-11-1-1111111-1-1111-1-111111111-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-11-111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-11-111-11-11
χ11111111-1-11-1-1111111-1-1111-1-11111-1-111-1-11-1-111111-1-1-1-111111111111111111-11-1-1-1-111-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11-1111-11-11
χ12111111-1-11-1-1111111-1-1111-1-11111-1-111-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-11-111111-1-1-1-11111-1-111-1-11111-1-111-1-111111-11-1-11-11-1
χ13111111-1-11-1-1111111-1-1111-1-1-1-1-1-11111-1-11-1-1111-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-11-1111111-1-1-1-1i−i−ii−ii-1-11111−i−iiiii−i−i−i−iii-1-111-1-1-1-1ii−i−i1-11−iii−i−ii
χ14111111-1-11-1-1111111-1-1111-1-1-1-1-1-11111-1-11-1-1111-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-11-1111111-1-1-1-1−iii−ii−i-1-11111ii−i−i−i−iiiii−i−i-1-111-1-1-1-1−i−iii1-11i−i−iii−i
χ15111111-1-11-1-1111111-1-1111-1-1-1-1-1-1-1-111-1-11-1-1111-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i1-11-1-1-1-111-1-1-1-1i−i−ii−ii-1-11111−i−iiiii−i−i−i−iii11-1-11111−i−iii-11-1i−i−iii−i
χ16111111-1-11-1-1111111-1-1111-1-1-1-1-1-1-1-111-1-11-1-1111-1-11111−i−iii-1-1-1-1−i−i−i−iiiii1-11-1-1-1-111-1-1-1-1−iii−ii−i-1-11111ii−i−i−i−iiiii−i−i11-1-11111ii−i−i-11-1−iii−i−ii
χ171111-1-1111-1-11111-1-111111-1-1111111-1-1111-1-1111-1-111-1-11111111111111111-1-111111-1-111-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-11-1-1-11-11
χ181111-1-1111-1-11111-1-111111-1-1111111-1-1111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-11-111-1-111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1
χ191111-1-1111-1-11111-1-111111-1-11111-1-1-1-1111-1-1111-1-111-1-1111111111111111111-1-1-1-1-1-1-111-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1111-11-1
χ201111-1-1111-1-11111-1-111111-1-11111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11-11-111-1-111-1-1111111-1-111-1-11111-1-1-1-1111111-1-1-1-11-11
χ211111-1-1111-1-11111-1-111111-1-1-1-1-1-111-1-1111-1-111111-1-111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111111-1-111-1-1−iii−i−ii11-1-111−i−iii−i−iiiii−i−i-1-1-1-111-1-1ii−i−i11-1−ii−iii−i
χ221111-1-1111-1-11111-1-111111-1-1-1-1-1-111-1-1111-1-111111-1-111−i−iii-1-1-1-1−i−i−i−iiiii-1-111111-1-111-1-1i−i−iii−i11-1-111ii−i−iii−i−i−i−iii-1-1-1-111-1-1−i−iii11-1i−ii−i−ii
χ231111-1-1111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-1-111-1-1−iii−i−ii11-1-111−i−iii−i−iiiii−i−i1111-1-111−i−iii-1-11i−ii−i−ii
χ241111-1-1111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-1-111-1-1i−i−iii−i11-1-111ii−i−iii−i−i−i−iii1111-1-111ii−i−i-1-11−ii−iii−i
χ251111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-11111111111111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1
χ261111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-11-1-1-1-11111
χ271111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111111111111111-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111
χ281111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-11111-11111-1-1-1-1
χ291111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-1-1-11111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1-1-11111-1-1-1-111−i−iiii−i1111-1-1ii−i−i−i−i−i−iiiii11-1-1-1-1-1-1ii−i−i-111i−i−i−iii
χ301111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-1-1-11111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii1-1-11111-1-1-1-111ii−i−i−ii1111-1-1−i−iiiiiii−i−i−i−i11-1-1-1-1-1-1−i−iii-111−iiii−i−i
χ311111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-111-1-1-1-1-1-1-1-111−i−iiii−i1111-1-1ii−i−i−i−i−i−iiiii-1-1111111−i−iii1-1-1−iiii−i−i
χ321111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii-111-1-1-1-1-1-1-1-111ii−i−i−ii1111-1-1−i−iiiiiii−i−i−i−i-1-1111111ii−i−i1-1-1i−i−i−iii
χ3322222222-122-1-1-12-1-1-1-1222-1-12222002222-122-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-10000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ3422222222-122-1-1-12-1-1-1-1222-1-12222002222-122-1-1-1222222-2-2-2-2-1-1-1-1111111110000000-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000000
χ3522222222-122-1-1-12-1-1-1-1222-1-1-2-2-2-2002222-122-1-1-1-2-2-2-2-2-22i2i−2i−2i1111−i−i−i−iiiii0000000-1-1-1-1-1-12i2i−2i−2i2i−2i111111−i−iii−i−i−i−iiiii000000000000000000000
χ3622222222-122-1-1-12-1-1-1-1222-1-1-2-2-2-2002222-122-1-1-1-2-2-2-2-2-2−2i−2i2i2i1111iiii−i−i−i−i0000000-1-1-1-1-1-1−2i−2i2i2i−2i2i111111ii−i−iiiii−i−i−i−i000000000000000000000
χ37222222-2-2-1-2-2-1-1-12-1-1112221122220022-2-2-1-2-2-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000-1-111112-22-2-2-2-1-111111111-1-111-1-111000000000000000000000
χ38222222-2-2-1-2-2-1-1-12-1-1112221122220022-2-2-1-2-2-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1111111110000000-1-11111-22-2222-1-11111-1-1-1-111-1-111-1-1000000000000000000000
χ39222222-2-2-1-2-2-1-1-12-1-11122211-2-2-2-20022-2-2-1-2-2-1-1-1-2-222222i2i−2i−2i1111−i−i−i−iiiii0000000-1-111112i−2i−2i2i−2i2i11-1-1-1-1ii−i−i−i−iiiii−i−i000000000000000000000
χ40222222-2-2-1-2-2-1-1-12-1-11122211-2-2-2-20022-2-2-1-2-2-1-1-1-2-22222−2i−2i2i2i1111iiii−i−i−i−i0000000-1-11111−2i2i2i−2i2i−2i11-1-1-1-1−i−iiiii−i−i−i−iii000000000000000000000
χ412222-2-222-1-2-2-1-1-1211-1-122211222200-2-222-1-2-2-1-1-1-2-222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000000011-1-111-22-22-2-211-1-111111111-1-111-1-1000000000000000000000
χ422222-2-222-1-2-2-1-1-1211-1-122211222200-2-222-1-2-2-1-1-1-2-222-2-2-2-2-2-2-1-1-1-111111111000000011-1-1112-22-22211-1-111-1-1-1-1-1-111-1-111000000000000000000000
χ432222-2-222-1-2-2-1-1-1211-1-122211-2-2-2-200-2-222-1-2-2-1-1-122-2-2222i2i−2i−2i1111−i−i−i−iiiii000000011-1-111−2i2i2i−2i−2i2i-1-111-1-1ii−i−iii−i−i−i−iii000000000000000000000
χ442222-2-222-1-2-2-1-1-1211-1-122211-2-2-2-200-2-222-1-2-2-1-1-122-2-222−2i−2i2i2i1111iiii−i−i−i−i000000011-1-1112i−2i−2i2i2i−2i-1-111-1-1−i−iii−i−iiiii−i−i000000000000000000000
χ452222-2-2-2-2-122-1-1-121111222-1-1222200-2-2-2-2-122-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-100000001111-1-1-2-2-2-2221111-1-1-1-1-1-111111111000000000000000000000
χ462222-2-2-2-2-122-1-1-121111222-1-1222200-2-2-2-2-122-1-1-1-2-2-2-222-2-2-2-2-1-1-1-11111111100000001111-1-12222-2-21111-1-11111-1-1-1-1-1-1-1-1000000000000000000000
χ472222-2-2-2-2-122-1-1-121111222-1-1-2-2-2-200-2-2-2-2-122-1-1-12222-2-22i2i−2i−2i1111−i−i−i−iiiii00000001111-1-1−2i−2i2i2i2i−2i-1-1-1-111−i−iiiiiii−i−i−i−i000000000000000000000
χ482222-2-2-2-2-122-1-1-121111222-1-1-2-2-2-200-2-2-2-2-122-1-1-12222-2-2−2i−2i2i2i1111iiii−i−i−i−i00000001111-1-12i2i−2i−2i−2i2i-1-1-1-111ii−i−i−i−i−i−iiiii000000000000000000000
χ4922-2-22-22-222-2-2-2222-22-22-2-22-222-2-2002-22-222-2-2-222-22-22-2000022-2-20000000000000002-22-22-20000002-22-22-2000000000000000000000000000000000
χ5022-2-22-22-222-2-2-2222-22-22-2-22-2-2-222002-22-222-2-2-22-22-22-220000-2-2220000000000000002-22-22-2000000-22-22-22000000000000000000000000000000000
χ5122-2-22-22-2-12-211-12-11-112-2-2-1122-2-2002-22-2-12-211-12-22-22-20000-1-11133−3−333−3−30000000-11-11-11000000-11-11-113−33−33−33−33−33−3000000000000000000000
χ5222-2-22-22-2-12-211-12-11-112-2-2-1122-2-2002-22-2-12-211-12-22-22-20000-1-111−3−333−3−3330000000-11-11-11000000-11-11-11−33−33−33−33−33−33000000000000000000000
χ5322-2-22-22-2-12-211-12-11-112-2-2-11-2-222002-22-2-12-211-1-22-22-22000011-1-1−i3−i3i3i3i3i3−i3−i30000000-11-11-110000001-11-11-1−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000000000000
χ5422-2-22-22-2-12-211-12-11-112-2-2-11-2-222002-22-2-12-211-1-22-22-22000011-1-1i3i3−i3−i3−i3−i3i3i30000000-11-11-110000001-11-11-1i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000000000000
χ5522-2-22-2-222-22-2-2222-2-222-2-2-2222-2-2002-2-222-22-2-222-2-22-22000022-2-20000000000000002-2-22-220000002-2-22-22000000000000000000000000000000000
χ5622-2-22-2-222-22-2-2222-2-222-2-2-22-2-222002-2-222-22-2-22-222-22-20000-2-2220000000000000002-2-22-22000000-222-22-2000000000000000000000000000000000
χ5722-2-22-2-22-1-2211-12-111-12-2-21-122-2-2002-2-22-1-2211-12-2-22-220000-1-11133−3−333−3−30000000-111-11-1000000-111-11-1−33−333−3−333−3−33000000000000000000000
χ5822-2-22-2-22-1-2211-12-111-12-2-21-122-2-2002-2-22-1-2211-12-2-22-220000-1-111−3−333−3−3330000000-111-11-1000000-111-11-13−33−3−333−3−333−3000000000000000000000
χ5922-2-22-2-22-1-2211-12-111-12-2-21-1-2-222002-2-22-1-2211-1-222-22-2000011-1-1−i3−i3i3i3i3i3−i3−i30000000-111-11-10000001-1-11-11i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000000000
χ6022-2-22-2-22-1-2211-12-111-12-2-21-1-2-222002-2-22-1-2211-1-222-22-2000011-1-1i3i3−i3−i3−i3−i3i3i30000000-111-11-10000001-1-11-11−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000000000
χ6122-2-2-222-22-22-2-222-222-22-2-2-2222-2-200-222-22-22-2-22-222-2-22000022-2-2000000000000000-222-2-22000000-222-2-22000000000000000000000000000000000
χ6222-2-2-222-22-22-2-222-222-22-2-2-22-2-22200-222-22-22-2-222-2-222-20000-2-222000000000000000-222-2-220000002-2-222-2000000000000000000000000000000000
χ6322-2-2-222-2-1-2211-121-1-112-2-21-122-2-200-222-2-1-2211-1-222-2-220000-1-11133−3−333−3−300000001-1-111-10000001-1-111-1−33−33−333−3−333−3000000000000000000000
χ6422-2-2-222-2-1-2211-121-1-112-2-21-122-2-200-222-2-1-2211-1-222-2-220000-1-111−3−333−3−33300000001-1-111-10000001-1-111-13−33−33−3−333−3−33000000000000000000000
χ6522-2-2-222-2-1-2211-121-1-112-2-21-1-2-22200-222-2-1-2211-12-2-222-2000011-1-1−i3−i3i3i3i3i3−i3−i300000001-1-111-1000000-111-1-11i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000000000000
χ6622-2-2-222-2-1-2211-121-1-112-2-21-1-2-22200-222-2-1-2211-12-2-222-2000011-1-1i3i3−i3−i3−i3−i3i3i300000001-1-111-1000000-111-1-11−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000000000000
χ6722-2-2-22-2222-2-2-222-22-222-2-22-222-2-200-22-2222-2-2-22-22-222-2000022-2-2000000000000000-22-222-2000000-22-222-2000000000000000000000000000000000
χ6822-2-2-22-2222-2-2-222-22-222-2-22-2-2-22200-22-2222-2-2-222-22-2-220000-2-222000000000000000-22-222-20000002-22-2-22000000000000000000000000000000000
χ6922-2-2-22-22-12-211-121-11-12-2-2-1122-2-200-22-22-12-211-1-22-222-20000-1-11133−3−333−3−300000001-11-1-110000001-11-1-113−33−3−33−33−33−33000000000000000000000
χ7022-2-2-22-22-12-211-121-11-12-2-2-1122-2-200-22-22-12-211-1-22-222-20000-1-111−3−333−3−33300000001-11-1-110000001-11-1-11−33−333−33−33−33−3000000000000000000000
χ7122-2-2-22-22-12-211-121-11-12-2-2-11-2-22200-22-22-12-211-12-22-2-22000011-1-1−i3−i3i3i3i3i3−i3−i300000001-11-1-11000000-11-111-1−i3i3i3−i3i3−i3i3−i3−i3i3−i3i3000000000000000000000
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χ802-22-200002002-2-220000-22-200-22-22−2i2i00002002-2-2000000−2i2i2i−2i-222-2−2i2i−2i2i2i−2i2i−2i000−2i−2i2i2i0000000000000000000000000000000000002i−2i-222-2000000000
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χ1054-4-440000-2002-2240000-4-4400-444-4000000-2002-2200000000002-22-2−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1064-4-440000-2002-2240000-4-4400-444-4000000-2002-2200000000002-22-22i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
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χ11288-8-88-8-88-4-8844-4-2-444-4-2224-4000000-222-212-2-1-11000000000000000000000000000001-1-11-11000000000000000000000000000000000000000000000
χ11388-8-8-888-8-4-8844-4-24-4-44-2224-40000002-2-2212-2-1-1100000000000000000000000000000-111-1-11000000000000000000000000000000000000000000000
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χ1158-88-800008008-8-8-200002-220000008i−8i0000-200-2220000000000000000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000000
χ1168-88-800008008-8-8-200002-22000000−8i8i0000-200-22200000000000000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000
χ1178-8-880000800-88-8-2000022-2000000000000-2002-220000000000000000000000000−252525−25000000000000000000000000000000000000000000000000000
χ1188-8-880000800-88-8-2000022-2000000000000-2002-22000000000000000000000000025−25−2525000000000000000000000000000000000000000000000000000
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χ12016-16-16160000-8008-88-4000044-4000000000000200-22-200000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).