Finite Group Databasebeta

← Group #14295979

Character table — Group #14295979

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444444444555555555555666688888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020242424243030303030303030303030304848606060606060
order1244234612125688101220202424242422448888888844441015203060602466888812122424242424242424243040406012012012012044446881212121212121212122424242424242424202020204444888888881020248888
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
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111-1-1-1-1iiii−i−i−i−i1111111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111111111ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ61111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-111111111ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii
χ71111111111111111111111-1-1-1-1−i−i−i−iiiii1111111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111111111−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ81111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-111111111−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−iii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i
χ9111111111111-1-11111-1-1-1-11111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ10111111111111-1-11111-1-1-1-1111111111111-1-1-1-1111111111111111111111111111-1-11-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ12111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ13111111111111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-11-1-11-1-1-1-1−i−iii-111-1−i−i−i−iiiii1111ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ14111111111111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i111-1-11-1-1-1-1−i−iii-111-1−i−i−i−iiiii1111ii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ15111111111111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-11-1-11-1-1-1-1ii−i−i-111-1iiii−i−i−i−i1111−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ16111111111111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii111-1-11-1-1-1-1ii−i−i-111-1iiii−i−i−i−i1111−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii
χ1711-1-1-1111-1-11-1i−i11-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i-1111-1-1-1111i−ii−i-1-1ii−i−iii−i−i1-1-1i−i1ii−i−i1-11-1-1i−i111-1-111-1-1ii−i−ii−ii−iii−i−iii−i−i11-1-111-1-11-11-1i−ii−i
χ1811-1-1-1111-1-11-1i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i−i−iii-1111-1-1-1111i−ii−i-1-1ii−i−iii−i−i-11-1i−i1ii−i−i1-11-1-1i−i111-1-111-1-1ii−i−ii−ii−i−i−iii−i−iii-1-111-1-111-11-11−ii−ii
χ1911-1-1-1111-1-11-1i−i11-1-1ii−i−i11-1-1−i−iii−i−iiiii−i−i-1111-1-1-1111−ii−ii-1-1−i−iii−i−iii1-1-1i−i1ii−i−i-11-11-1i−i1-1-111-1-111ii−i−i−ii−iiii−i−iii−i−i-1-111-1-1111-11-1−ii−ii
χ2011-1-1-1111-1-11-1i−i11-1-1ii−i−i11-1-1−i−iii−i−iii−i−iii-1111-1-1-1111−ii−ii-1-1−i−iii−i−iii-11-1i−i1ii−i−i-11-11-1i−i1-1-111-1-111ii−i−i−ii−ii−i−iii−i−iii11-1-111-1-1-11-11i−ii−i
χ2111-1-1-1111-1-11-1i−i11-1-1ii−i−i-1-11111-1-1-1-111ii−i−i-1111-1-11-1-1-11-1-111111-1-1-1-1111-1-1i−i1ii−i−i−iii−i1−ii-1−i−iiiii−i−i−i−iii1-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-111-1-11
χ2211-1-1-1111-1-11-1i−i11-1-1ii−i−i-1-11111-1-1-1-111−i−iii-1111-1-11-1-1-11-1-111111-1-1-1-111-11-1i−i1ii−i−i−iii−i1−ii-1−i−iiiii−i−i−i−iii1-1-11−i−iiiii−i−iii−i−i−i−iii-111-1-111-1
χ2311-1-1-1111-1-11-1i−i11-1-1ii−i−i-1-111-1-11111-1-1ii−i−i-1111-1-11-1-1-1-111-111-1-11111-1-11-1-1i−i1ii−i−ii−i−ii1−ii-1ii−i−i−i−iii−i−iii-111-1ii−i−i−i−iiiii−i−i−i−iii1-1-11-111-1
χ2411-1-1-1111-1-11-1i−i11-1-1ii−i−i-1-111-1-11111-1-1−i−iii-1111-1-11-1-1-1-111-111-1-11111-1-1-11-1i−i1ii−i−ii−i−ii1−ii-1ii−i−i−i−iii−i−iii-111-1−i−iiiii−i−i−i−iiiii−i−i-111-11-1-11
χ2511-1-1-1111-1-11-1−ii11-1-1−i−iii11-1-1ii−i−iii−i−iii−i−i-1111-1-1-1111i−ii−i-1-1ii−i−iii−i−i-11-1−ii1−i−iii-11-11-1−ii1-1-111-1-111−i−iiii−ii−iii−i−iii−i−i11-1-111-1-1-11-11−ii−ii
χ2611-1-1-1111-1-11-1−ii11-1-1−i−iii11-1-1ii−i−iii−i−i−i−iii-1111-1-1-1111i−ii−i-1-1ii−i−iii−i−i1-1-1−ii1−i−iii-11-11-1−ii1-1-111-1-111−i−iiii−ii−i−i−iii−i−iii-1-111-1-1111-11-1i−ii−i
χ2711-1-1-1111-1-11-1−ii11-1-1−i−iii11-1-1−i−iii−i−iiiii−i−i-1111-1-1-1111−ii−ii-1-1−i−iii−i−iii-11-1−ii1−i−iii1-11-1-1−ii111-1-111-1-1−i−iii−ii−iiii−i−iii−i−i-1-111-1-111-11-11i−ii−i
χ2811-1-1-1111-1-11-1−ii11-1-1−i−iii11-1-1−i−iii−i−iii−i−iii-1111-1-1-1111−ii−ii-1-1−i−iii−i−iii1-1-1−ii1−i−iii1-11-1-1−ii111-1-111-1-1−i−iii−ii−ii−i−iii−i−iii11-1-111-1-11-11-1−ii−ii
χ2911-1-1-1111-1-11-1−ii11-1-1−i−iii-1-11111-1-1-1-111ii−i−i-1111-1-11-1-1-11-1-111111-1-1-1-111-11-1−ii1−i−iiii−i−ii1i−i-1ii−i−i−i−iiiii−i−i1-1-11ii−i−i−i−iii−i−iiiii−i−i-111-1-111-1
χ3011-1-1-1111-1-11-1−ii11-1-1−i−iii-1-11111-1-1-1-111−i−iii-1111-1-11-1-1-11-1-111111-1-1-1-1111-1-1−ii1−i−iiii−i−ii1i−i-1ii−i−i−i−iiiii−i−i1-1-11−i−iiiii−i−iii−i−i−i−iii1-1-111-1-11
χ3111-1-1-1111-1-11-1−ii11-1-1−i−iii-1-111-1-11111-1-1ii−i−i-1111-1-11-1-1-1-111-111-1-11111-1-1-11-1−ii1−i−iii−iii−i1i−i-1−i−iiiii−i−iii−i−i-111-1ii−i−i−i−iiiii−i−i−i−iii-111-11-1-11
χ3211-1-1-1111-1-11-1−ii11-1-1−i−iii-1-111-1-11111-1-1−i−iii-1111-1-11-1-1-1-111-111-1-11111-1-11-1-1−ii1−i−iii−iii−i1i−i-1−i−iiiii−i−iii−i−i-111-1−i−iiiii−i−i−i−iiiii−i−i1-1-11-111-1
χ3322222-12-1-1-12-1222-122-1-1-1-122222222222200002-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-100-122-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3422222-12-1-1-12-1222-122-1-1-1-12222-2-2-2-2-2-2-2-200002-12-1-1-122-1-1-2-2-2-2-1-11111111100-122-1-1-1-1-1-2-2-2-2-122-111111111-1-1-1-11111000000000000000000000000
χ3522222-12-1-1-12-1222-122-1-1-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i00002-12-1-1-1-2-2112i2i−2i−2i11−i−i−i−iiiii00-122-1-1-1-1-12i2i−2i−2i1-2-21−i−i−i−iiiii1111−i−iii000000000000000000000000
χ3622222-12-1-1-12-1222-122-1-1-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i00002-12-1-1-1-2-211−2i−2i2i2i11iiii−i−i−i−i00-122-1-1-1-1-1−2i−2i2i2i1-2-21iiii−i−i−i−i1111ii−i−i000000000000000000000000
χ3722222-12-1-1-12-1-2-22-122111122222222222200002-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-100-1-2-2-11111-2-2-2-2-1-2-2-1111111111111-1-1-1-1000000000000000000000000
χ3822222-12-1-1-12-1-2-22-12211112222-2-2-2-2-2-2-2-200002-12-1-1-122-1-1-2-2-2-2-1-11111111100-1-2-2-111112222-1-2-2-1-1-1-1-1-1-1-1-111111111000000000000000000000000
χ3922222-12-1-1-12-1-2-22-1221111-2-2-2-22i2i2i2i−2i−2i−2i−2i00002-12-1-1-1-2-2112i2i−2i−2i11−i−i−i−iiiii00-1-2-2-11111−2i−2i2i2i1221iiii−i−i−i−i-1-1-1-1−i−iii000000000000000000000000
χ4022222-12-1-1-12-1-2-22-1221111-2-2-2-2−2i−2i−2i−2i2i2i2i2i00002-12-1-1-1-2-211−2i−2i2i2i11iiii−i−i−i−i00-1-2-2-111112i2i−2i−2i1221−i−i−i−iiiii-1-1-1-1ii−i−i000000000000000000000000
χ412222-22-22222-2002-22200002222222222220000-22-2222-2-222-2-2-2-2222222222200-200-200000000-200-2000000000000-2-2-2-2000000000000000000000000
χ422222-22-22222-2002-22200002222-2-2-2-2-2-2-2-20000-22-2222-2-222222222-2-2-2-2-2-2-2-200-200-200000000-200-20000000000002222000000000000000000000000
χ432222-22-22222-2002-2220000-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-22-222222-2-2−2i−2i2i2i-2-22i2i2i2i−2i−2i−2i−2i00-200-2000000002002000000000000−2i−2i2i2i000000000000000000000000
χ442222-22-22222-2002-2220000-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-22-222222-2-22i2i−2i−2i-2-2−2i−2i−2i−2i2i2i2i2i00-200-20000000020020000000000002i2i−2i−2i000000000000000000000000
χ452222-2-1-2-1-1-121002122−i3i3−i3i32222222222220000-2-1-2-1-1-1-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1001001−i3i3−i3i300001001−i3i3−i3i3−i3i3−i3i3−i3i3−i3i31111000000000000000000000000
χ462222-2-1-2-1-1-121002122−i3i3−i3i32222-2-2-2-2-2-2-2-20000-2-1-2-1-1-1-2-2-1-12222-1-111111111001001−i3i3−i3i300001001i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3-1-1-1-1000000000000000000000000
χ472222-2-1-2-1-1-121002122−i3i3−i3i3-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-1-2-1-1-12211−2i−2i2i2i11−i−i−i−iiiii001001−i3i3−i3i30000-100-13−33−3−33−33i3−i3i3−i3ii−i−i000000000000000000000000
χ482222-2-1-2-1-1-121002122−i3i3−i3i3-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-1-2-1-1-122112i2i−2i−2i11iiii−i−i−i−i001001−i3i3−i3i30000-100-1−33−333−33−3i3−i3i3−i3−i−iii000000000000000000000000
χ492222-2-1-2-1-1-121002122i3−i3i3−i32222222222220000-2-1-2-1-1-1-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1001001i3−i3i3−i300001001i3−i3i3−i3i3−i3i3−i3i3−i3i3−i31111000000000000000000000000
χ502222-2-1-2-1-1-121002122i3−i3i3−i32222-2-2-2-2-2-2-2-20000-2-1-2-1-1-1-2-2-1-12222-1-111111111001001i3−i3i3−i300001001−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3-1-1-1-1000000000000000000000000
χ512222-2-1-2-1-1-121002122i3−i3i3−i3-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-1-2-1-1-12211−2i−2i2i2i11−i−i−i−iiiii001001i3−i3i3−i30000-100-1−33−333−33−3−i3i3−i3i3ii−i−i000000000000000000000000
χ522222-2-1-2-1-1-121002122i3−i3i3−i3-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-1-2-1-1-122112i2i−2i−2i11iiii−i−i−i−i001001i3−i3i3−i30000-100-13−33−3−33−33−i3i3−i3i3−i−iii000000000000000000000000
χ5322-2-222-22-2-222002-2-2-2000022-2-22i2i−2i−2i2i2i−2i−2i000022-22-2-22-222−2i2i−2i2i-2-22i2i−2i−2i2i2i−2i−2i00200-200000000200-2000000000000−2i2i−2i2i000000000000000000000000
χ5422-2-222-22-2-222002-2-2-2000022-2-2−2i−2i2i2i−2i−2i2i2i000022-22-2-22-2222i−2i2i−2i-2-2−2i−2i2i2i−2i−2i2i2i00200-200000000200-20000000000002i−2i2i−2i000000000000000000000000
χ5522-2-222-22-2-222002-2-2-20000-2-22222-2-2-2-222000022-22-2-2-22-2-2-222-22222-2-2-2-22200200-200000000-2002000000000000-222-2000000000000000000000000
χ5622-2-222-22-2-222002-2-2-20000-2-222-2-22222-2-2000022-22-2-2-22-2-22-2-2222-2-22222-2-200200-200000000-20020000000000002-2-22000000000000000000000000
χ5722-2-22-1-2-1112-10021-2-23−3−3322-2-22i2i−2i−2i2i2i−2i−2i00002-1-2-1112-2-1-1−2i2i−2i2i11−i−iii−i−iii00-10013−3−330000-1001−i3i3i3−i3−i3i3i3−i33−3−33i−ii−i000000000000000000000000
χ5822-2-22-1-2-1112-10021-2-23−3−3322-2-2−2i−2i2i2i−2i−2i2i2i00002-1-2-1112-2-1-12i−2i2i−2i11ii−i−iii−i−i00-10013−3−330000-1001i3−i3−i3i3i3−i3−i3i33−3−33−ii−ii000000000000000000000000
χ5922-2-22-1-2-1112-10021-2-23−3−33-2-22222-2-2-2-22200002-1-2-111-2211-222-2-1-1-1-11111-1-100-10013−3−330000100-1−333−33−3−33−333−31-1-11000000000000000000000000
χ6022-2-22-1-2-1112-10021-2-23−3−33-2-222-2-22222-2-200002-1-2-111-22112-2-22-1-111-1-1-1-11100-10013−3−330000100-13−3−33−333−3−333−3-111-1000000000000000000000000
χ6122-2-22-1-2-1112-10021-2-2−333−322-2-22i2i−2i−2i2i2i−2i−2i00002-1-2-1112-2-1-1−2i2i−2i2i11−i−iii−i−iii00-1001−333−30000-1001i3−i3−i3i3i3−i3−i3i3−333−3i−ii−i000000000000000000000000
χ6222-2-22-1-2-1112-10021-2-2−333−322-2-2−2i−2i2i2i−2i−2i2i2i00002-1-2-1112-2-1-12i−2i2i−2i11ii−i−iii−i−i00-1001−333−30000-1001−i3i3i3−i3−i3i3i3−i3−333−3−ii−ii000000000000000000000000
χ6322-2-22-1-2-1112-10021-2-2−333−3-2-22222-2-2-2-22200002-1-2-111-2211-222-2-1-1-1-11111-1-100-1001−333−30000100-13−3−33−333−33−3−331-1-11000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.