Finite Group Databasebeta

← Group #14418551

Character table — Group #14418551

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444444444555555555555666688888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020242424243030303030303030303030304848606060606060
order122222366644566101010121212124444888888884444101015303030448888121212122424242424242424442020303060606060448888121212121212242424242424242424242424202020204444888888882020448888
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
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111-1-1-1-1iiii−i−i−i−i1111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111111111-1-1ii−i−i-1-1-1-1-1-1iiiiii−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-1-111111111-1-1ii−i−i-1-1-1-1-1-1iiiiii−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−i−iii-1-1-1-1-1-1−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−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i
χ91111111111-1-1111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ101111111111-1-1111111-1-1-1-1111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ121111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
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-1-1-1-111-1-1-1-111−i−iii1111-1-1ii−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−i11-1-111-1-1-1-111−i−iii1111-1-1ii−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-1-1-1-111-1-1-1-111ii−i−i1111-1-1−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−iiiii11-1-111-1-1-1-111ii−i−i1111-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii
χ171111-1-111111-11-1-111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111-1-11-1-111-1-1-111-11-111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-11-111-11-1
χ181111-1-111111-11-1-111111-1-1111111111111-1-111-1-11111-1-1-1-1-1-1111111111111-11-11-1-111-1-1-111-11-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-11-1-11-11
χ191111-1-111111-11-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-11-11-1111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-111-1-111-11-11-11-11
χ201111-1-111111-11-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-11-11-1111-1-1-1-111-1-11111-1-111-1-111-1-11111-1-111-1-11-11-11-11-1
χ211111-1-111111-11-1-111111-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-1111111−i−iii-1-1-1-1iiii−i−i−i−i1-1-11-1-111-1-11-1i−i−ii-1-11111−i−iii−i−iii−i−iii11-1-1-1-111ii−i−i−i−iii-111-1i−i−ii
χ221111-1-111111-11-1-111111-1-1-1-1-1-1iiii−i−i−i−i-1-111-1-1111111−i−iii-1-1-1-1iiii−i−i−i−i-11-11-1-111-1-11-1i−i−ii-1-11111−i−iii−i−iii−i−iii-1-11111-1-1−i−iiiii−i−i1-1-11−iii−i
χ231111-1-111111-11-1-111111-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-1111111ii−i−i-1-1-1-1−i−i−i−iiiii1-1-11-1-111-1-11-1−iii−i-1-11111ii−i−iii−i−iii−i−i11-1-1-1-111−i−iiiii−i−i-111-1−iii−i
χ241111-1-111111-11-1-111111-1-1-1-1-1-1−i−i−i−iiiii-1-111-1-1111111ii−i−i-1-1-1-1−i−i−i−iiiii-11-11-1-111-1-11-1−iii−i-1-11111ii−i−iii−i−iii−i−i-1-11111-1-1ii−i−i−i−iii1-1-11i−i−ii
χ251111-1-11111-111-1-1111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1111111111111-111-1-1-1-1-1111-1-11-11-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-11-11-1-11-11
χ261111-1-11111-111-1-1111-1-111111111111111-1-111-1-11111-1-1-1-1-1-11111111111111-11-1-1-1-1-1111-1-11-11-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-11-111-11-1
χ271111-1-11111-111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-11-11-1-1-111-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1111-11-11-11-1
χ281111-1-11111-111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1111-11-11-1-1-111-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-11-11-11-11
χ291111-1-11111-111-1-1111-1-111-1-1-1-1iiii−i−i−i−i11-1-1-1-1111111−i−iii-1-1-1-1iiii−i−i−i−i-111-1-1-1-1-111-11−iii−i11-1-111−i−i−i−iiiiiii−i−i11-1-1-1-111ii−i−i−i−iii1-1-11−iii−i
χ301111-1-11111-111-1-1111-1-111-1-1-1-1iiii−i−i−i−i-1-111-1-1111111−i−iii-1-1-1-1iiii−i−i−i−i1-11-1-1-1-1-111-11−iii−i11-1-111−i−i−i−iiiiiii−i−i-1-11111-1-1−i−iiiii−i−i-111-1i−i−ii
χ311111-1-11111-111-1-1111-1-111-1-1-1-1−i−i−i−iiiii11-1-1-1-1111111ii−i−i-1-1-1-1−i−i−i−iiiii-111-1-1-1-1-111-11i−i−ii11-1-111iiii−i−i−i−i−i−iii11-1-1-1-111−i−iiiii−i−i1-1-11i−i−ii
χ321111-1-11111-111-1-1111-1-111-1-1-1-1−i−i−i−iiiii-1-111-1-1111111ii−i−i-1-1-1-1−i−i−i−iiiii1-11-1-1-1-1-111-11i−i−ii11-1-111iiii−i−i−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-111-1−iii−i
χ33222222-1-1-1-1222-1-1222-1-1-1-1222222222222000022-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34222222-1-1-1-1222-1-1222-1-1-1-12222-2-2-2-2-2-2-2-2000022-1-1-1-122-2-2-2-2-1-1-1-1111111110022-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000000000
χ35222222-1-1-1-1222-1-1222-1-1-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i000022-1-1-1-1-2-22i2i−2i−2i1111−i−i−i−iiiii0022-1-1-1-1-1-1-2-22i2i−2i−2i111111−i−i−i−i−i−iiiiiii000000000000000000000000
χ36222222-1-1-1-1222-1-1222-1-1-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i000022-1-1-1-1-2-2−2i−2i2i2i1111iiii−i−i−i−i0022-1-1-1-1-1-1-2-2−2i−2i2i2i111111iiiiii−i−i−i−i−i−i000000000000000000000000
χ37222222-1-1-1-1-2-22-1-12221111222222222222000022-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-1-11111-2-2-2-2-2-21111-1-1-1-11111-1-11111000000000000000000000000
χ38222222-1-1-1-1-2-22-1-122211112222-2-2-2-2-2-2-2-2000022-1-1-1-122-2-2-2-2-1-1-1-11111111100-2-2-1-11111-2-222221111-1-111-1-1-1-111-1-1-1-1000000000000000000000000
χ39222222-1-1-1-1-2-22-1-12221111-2-2-2-22i2i2i2i−2i−2i−2i−2i000022-1-1-1-1-2-22i2i−2i−2i1111−i−i−i−iiiii00-2-2-1-1111122−2i−2i2i2i-1-1-1-111−i−iiiiiii−i−i−i−i000000000000000000000000
χ40222222-1-1-1-1-2-22-1-12221111-2-2-2-2−2i−2i−2i−2i2i2i2i2i000022-1-1-1-1-2-2−2i−2i2i2i1111iiii−i−i−i−i00-2-2-1-11111222i2i−2i−2i-1-1-1-111ii−i−i−i−i−i−iiiii000000000000000000000000
χ412222-2-2-1-1-1-12-2211222-1-1112222222222220000-2-2-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-100-2211-1-111-222-22-2-1-1111111-1-11111-1-111000000000000000000000000
χ422222-2-2-1-1-1-12-2211222-1-1112222-2-2-2-2-2-2-2-20000-2-2-1-1-1-1-2-22222-1-1-1-11111111100-2211-1-111-22-22-22-1-11111-1-111-1-1-1-111-1-1000000000000000000000000
χ432222-2-2-1-1-1-12-2211222-1-111-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-2-1-1-1-122−2i−2i2i2i1111−i−i−i−iiiii00-2211-1-1112-22i−2i−2i2i11-1-1-1-1ii−i−iii−i−iii−i−i000000000000000000000000
χ442222-2-2-1-1-1-12-2211222-1-111-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-2-1-1-1-1222i2i−2i−2i1111iiii−i−i−i−i00-2211-1-1112-2−2i2i2i−2i11-1-1-1-1−i−iii−i−iii−i−iii000000000000000000000000
χ452222-2-2-1-1-1-1-2221122211-1-12222222222220000-2-2-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1002-21111-1-12-2-22-2211-1-1111111-1-11111-1-1000000000000000000000000
χ462222-2-2-1-1-1-1-2221122211-1-12222-2-2-2-2-2-2-2-20000-2-2-1-1-1-1-2-22222-1-1-1-111111111002-21111-1-12-22-22-211-1-111-1-1-1-111-1-1-1-111000000000000000000000000
χ472222-2-2-1-1-1-1-2221122211-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-2-1-1-1-122−2i−2i2i2i1111−i−i−i−iiiii002-21111-1-1-22−2i2i2i−2i-1-111-1-1iiii−i−i−i−i−i−iii000000000000000000000000
χ482222-2-2-1-1-1-1-2221122211-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-2-1-1-1-1222i2i−2i−2i1111iiii−i−i−i−i002-21111-1-1-222i−2i−2i2i-1-111-1-1−i−i−i−iiiiiii−i−i000000000000000000000000
χ4922-2-22-22-2-220022-22-2-2000022-2-222-2-222-2-200002-222-2-22-22-22-222-2-222-2-222-2-200002-2000000000000002-22-200002-20000000000000000000000000000
χ5022-2-22-22-2-220022-22-2-2000022-2-2-2-222-2-22200002-222-2-22-2-22-2222-2-2-2-222-2-22200002-2000000000000002-2-220000-220000000000000000000000000000
χ5122-2-22-22-2-220022-22-2-20000-2-2222i2i−2i−2i−2i−2i2i2i00002-222-2-2-222i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i00002-200000000000000-222i−2i0000−2i2i0000000000000000000000000000
χ5222-2-22-22-2-220022-22-2-20000-2-222−2i−2i2i2i2i2i−2i−2i00002-222-2-2-22−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i00002-200000000000000-22−2i2i00002i−2i0000000000000000000000000000
χ5322-2-22-2-111-1002-112-2-23−33−322-2-222-2-222-2-200002-2-1-1112-22-22-2-1-111-1-111-1-1110000-113−33−30000003−33−3-11-113−33−3-113−33−3000000000000000000000000
χ5422-2-22-2-111-1002-112-2-23−33−322-2-2-2-222-2-22200002-2-1-1112-2-22-22-1-11111-1-111-1-10000-113−33−30000003−33−3-111-1−33−331-1−33−33000000000000000000000000
χ5522-2-22-2-111-1002-112-2-23−33−3-2-2222i2i−2i−2i−2i−2i2i2i00002-2-1-111-222i−2i−2i2i11-1-1−i−iiiii−i−i0000-113−33−3000000−33−331-1−iii3−i3i3−i3i−i−i3i3−i3i3000000000000000000000000
χ5622-2-22-2-111-1002-112-2-23−33−3-2-222−2i−2i2i2i2i2i−2i−2i00002-2-1-111-22−2i2i2i−2i11-1-1ii−i−i−i−iii0000-113−33−3000000−33−331-1i−i−i3i3−i3i3−iii3−i3i3−i3000000000000000000000000
χ5722-2-22-2-111-1002-112-2-2−33−3322-2-222-2-222-2-200002-2-1-1112-22-22-2-1-111-1-111-1-1110000-11−33−33000000−33−33-11-11−33−33-11−33−33000000000000000000000000
χ5822-2-22-2-111-1002-112-2-2−33−3322-2-2-2-222-2-22200002-2-1-1112-2-22-22-1-11111-1-111-1-10000-11−33−33000000−33−33-111-13−33−31-13−33−3000000000000000000000000
χ5922-2-22-2-111-1002-112-2-2−33−33-2-2222i2i−2i−2i−2i−2i2i2i00002-2-1-111-222i−2i−2i2i11-1-1−i−iiiii−i−i0000-11−33−330000003−33−31-1−ii−i3i3−i3i3i−ii3−i3i3−i3000000000000000000000000
χ6022-2-22-2-111-1002-112-2-2−33−33-2-222−2i−2i2i2i2i2i−2i−2i00002-2-1-111-22−2i2i2i−2i11-1-1ii−i−i−i−iii0000-11−33−330000003−33−31-1i−ii3−i3i3−i3−ii−i3i3−i3i3000000000000000000000000
χ6122-2-2-222-2-22002-222-2-2000022-2-222-2-222-2-20000-2222-2-2-22-22-2222-2-222-2-222-2-20000-2200000000000000-22-220000-220000000000000000000000000000
χ6222-2-2-222-2-22002-222-2-2000022-2-2-2-222-2-2220000-2222-2-2-222-22-222-2-2-2-222-2-2220000-2200000000000000-222-200002-20000000000000000000000000000
χ6322-2-2-222-2-22002-222-2-20000-2-2222i2i−2i−2i−2i−2i2i2i0000-2222-2-22-2−2i2i2i−2i-2-2222i2i−2i−2i−2i−2i2i2i0000-22000000000000002-2−2i2i00002i−2i0000000000000000000000000000
χ6422-2-2-222-2-22002-222-2-20000-2-222−2i−2i2i2i2i2i−2i−2i0000-2222-2-22-22i−2i−2i2i-2-222−2i−2i2i2i2i2i−2i−2i0000-22000000000000002-22i−2i0000−2i2i0000000000000000000000000000
χ6522-2-2-22-111-10021-12-2-23−3−3322-2-222-2-222-2-20000-22-1-111-22-22-22-1-111-1-111-1-11100001-13−3−330000003−3−331-11-13−3−331-13−3−33000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.