Finite Group Databasebeta

← Group #14295379

Character table — Group #14295379

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222224444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101010102020202020202020202020202020202060606060606060606060606060606060
order12222234444666666622445666610101010101010121212121212121215153030303030303030303030303030444410101010202020202020202030303030303030306060606060606060606060606060606022224412121212121212124444666612121212121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i
χ101111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii
χ111111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ121111111-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ131111111-1-1-1-11111111-1-1111-1-1-1-111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ141111111-1-1-1-11111111-1-1111-1-1-1-111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ151111111-1-1-1-11111111-1-1111-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ161111111-1-1-1-11111111-1-1111-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ171-11-11-11ii−i−i11-1-1-11-11-1i−i111-1-1111-1-1-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−iiiii−i−i−i−i1-1i−i11-1-111-1-1ii−i−i1-1i−i1-1i−ii−i1-1i−i1-1
χ181-11-11-11ii−i−i11-1-1-11-11-1i−i111-1-1111-1-1-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−iiiii−i−i−i−i1-1i−i11-1-111-1-1ii−i−i-11−ii-11−ii−ii-11−ii-11
χ191-11-11-11ii−i−i11-1-1-11-11-1i−i111-1-1111-1-1-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1−i−iii11-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−ii−i−i−i−iiiii-11−ii-1-111-1-111−i−iiii−i-11i−i-111-1−ii1-1−ii
χ201-11-11-11ii−i−i11-1-1-11-11-1i−i111-1-1111-1-1-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1−i−iii11-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−ii−i−i−i−iiiii-11−ii-1-111-1-111−i−iii−ii1-1−ii1-1-11i−i-11i−i
χ211-11-11-11ii−i−i11-1-1-11-1-11−ii1-1-111111-1-1-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1ii−i−i-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1i−iiiii−i−i−i−i-11−ii11-1-1-1-111−i−iii1-1i−i-11−iii−i1-1−ii-11
χ221-11-11-11ii−i−i11-1-1-11-1-11−ii1-1-111111-1-1-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1ii−i−i-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1i−iiiii−i−i−i−i-11−ii11-1-1-1-111−i−iii-11−ii1-1i−i−ii-11i−i1-1
χ231-11-11-11ii−i−i11-1-1-11-1-11−ii1-1-111111-1-1-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1−i−iii-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−ii−i−i−i−iiiii1-1i−i-1-11111-1-1ii−i−ii−i-11−ii1-11-1−ii-11i−i
χ241-11-11-11ii−i−i11-1-1-11-1-11−ii1-1-111111-1-1-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1−i−iii-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−ii−i−i−i−iiiii1-1i−i-1-11111-1-1ii−i−i−ii1-1i−i-11-11i−i1-1−ii
χ251-11-11-11−i−iii11-1-1-11-11-1−ii111-1-1111-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1ii−i−i11-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111i−iiiii−i−i−i−i-11i−i-1-111-1-111ii−i−ii−i1-1i−i1-1-11−ii-11−ii
χ261-11-11-11−i−iii11-1-1-11-11-1−ii111-1-1111-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1ii−i−i11-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111i−iiiii−i−i−i−i-11i−i-1-111-1-111ii−i−i−ii-11−ii-111-1i−i1-1i−i
χ271-11-11-11−i−iii11-1-1-11-11-1−ii111-1-1111-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−iii11-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−i−i−i−iiiii1-1−ii11-1-111-1-1−i−iii1-1−ii1-1−ii−ii1-1−ii1-1
χ281-11-11-11−i−iii11-1-1-11-11-1−ii111-1-1111-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−iii11-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−i−i−i−iiiii1-1−ii11-1-111-1-1−i−iii-11i−i-11i−ii−i-11i−i-11
χ291-11-11-11−i−iii11-1-1-11-1-11i−i1-1-111111-1-1-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1ii−i−i-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111i−iiiii−i−i−i−i1-1−ii-1-11111-1-1−i−iiii−i1-1−ii-11-11−ii1-1i−i
χ301-11-11-11−i−iii11-1-1-11-1-11i−i1-1-111111-1-1-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1ii−i−i-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111i−iiiii−i−i−i−i1-1−ii-1-11111-1-1−i−iii−ii-11i−i1-11-1i−i-11−ii
χ311-11-11-11−i−iii11-1-1-11-1-11i−i1-1-111111-1-1-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1−i−iii-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−ii−i−i−i−iiiii-11i−i11-1-1-1-111ii−i−i1-1−ii-11i−i−ii1-1i−i-11
χ321-11-11-11−i−iii11-1-1-11-1-11i−i1-1-111111-1-1-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1−i−iii-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−ii−i−i−i−iiiii-11i−i11-1-1-1-111ii−i−i-11i−i1-1−iii−i-11−ii1-1
χ33222222-12222-1-1-1-1-1-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222-12222-1-1-1-1-1-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2-2-21111111111110000000000000000
χ35222222-12222-1-1-1-1-1-1-1-2-2-2-22111122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ36222222-12222-1-1-1-1-1-1-1-2-2-2-22111122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2-2-21111111122221111-1-1-1-1-1-1-1-10000000000000000
χ37222222-1-2-2-2-2-1-1-1-1-1-1-122-2-22-1-1-1-1222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-10000000000000000
χ38222222-1-2-2-2-2-1-1-1-1-1-1-122-2-22-1-1-1-1222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-21111111122-2-2-1-1-1-1-1-1-1-111110000000000000000
χ39222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222211112222222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-2-21111-1-1-1-111110000000000000000
χ40222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222211112222222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-12222-2-211111111-2-222-1-1-1-11111-1-1-1-10000000000000000
χ412222-2-222-22-2-2-2-2-22220000200002-2-2-2-22200002-22-22222-2-2-2-2-2-2-2-22222222200002-22-200000000000022-2-222-2-2000000002-22-2-2-222-2-222-2-200002-22-2000000000000000000000000
χ422222-2-222-22-2-2-2-2-22220000200002-2-2-2-22200002-22-22222-2-2-2-2-2-2-2-22222-2-2-2-200002-22-200000000000022-2-222-2-200000000-22-2222-2-222-2-2220000-22-22000000000000000000000000
χ432222-2-22-22-22-2-2-2-22220000200002-2-2-2-2220000-22-222222-2-2-2-2-2-2-2-2222222220000-22-22000000000000-2-222-2-22200000000-22-22-2-222-2-222-2-20000-22-22000000000000000000000000
χ442222-2-22-22-22-2-2-2-22220000200002-2-2-2-2220000-22-222222-2-2-2-2-2-2-2-22222-2-2-2-20000-22-22000000000000-2-222-2-222000000002-22-222-2-222-2-22200002-22-2000000000000000000000000
χ452222-2-2-12-22-21111-1-1-100002−i3i3−i3i32-2-2-2-222−i3i3−i3i3-11-11-1-1-1-111111111-1-1-1-1222200002-22-20000−i3−i3i3i3−i3−i3i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i32-22-2-2-2-1-111-1-1110000-11-11−i3i3−i3i3−i3i3−i3i30000000000000000
χ462222-2-2-12-22-21111-1-1-100002−i3i3−i3i32-2-2-2-222−i3i3−i3i3-11-11-1-1-1-111111111-1-1-1-1-2-2-2-200002-22-20000−i3−i3i3i3−i3−i3i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i3-22-222211-1-111-1-100001-11-1i3−i3i3−i3i3−i3i3−i30000000000000000
χ472222-2-2-12-22-21111-1-1-100002i3−i3i3−i32-2-2-2-222i3−i3i3−i3-11-11-1-1-1-111111111-1-1-1-1222200002-22-20000i3i3−i3−i3i3i3−i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i32-22-2-2-2-1-111-1-1110000-11-11i3−i3i3−i3i3−i3i3−i30000000000000000
χ482222-2-2-12-22-21111-1-1-100002i3−i3i3−i32-2-2-2-222i3−i3i3−i3-11-11-1-1-1-111111111-1-1-1-1-2-2-2-200002-22-20000i3i3−i3−i3i3i3−i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i3-22-222211-1-111-1-100001-11-1−i3i3−i3i3−i3i3−i3i30000000000000000
χ492222-2-2-1-22-221111-1-1-100002−i3i3−i3i32-2-2-2-222i3−i3i3−i31-11-1-1-1-1-111111111-1-1-1-122220000-22-220000−i3−i3i3i3−i3−i3i3i311-1-111-1-1i3i3−i3−i3i3i3−i3−i3-22-22-2-2-1-111-1-11100001-11-1i3−i3i3−i3−i3i3−i3i30000000000000000
χ502222-2-2-1-22-221111-1-1-100002−i3i3−i3i32-2-2-2-222i3−i3i3−i31-11-1-1-1-1-111111111-1-1-1-1-2-2-2-20000-22-220000−i3−i3i3i3−i3−i3i3i311-1-111-1-1i3i3−i3−i3i3i3−i3−i32-22-22211-1-111-1-10000-11-11−i3i3−i3i3i3−i3i3−i30000000000000000
χ512222-2-2-1-22-221111-1-1-100002i3−i3i3−i32-2-2-2-222−i3i3−i3i31-11-1-1-1-1-111111111-1-1-1-122220000-22-220000i3i3−i3−i3i3i3−i3−i311-1-111-1-1−i3−i3i3i3−i3−i3i3i3-22-22-2-2-1-111-1-11100001-11-1−i3i3−i3i3i3−i3i3−i30000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.