Finite Group Databasebeta

← Group #14294491

Character table — Group #14294491

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222224444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101010102020202020202020202020202020202060606060606060606060606060606060
order122222344446666666444451010101010101012121212121212121212121215153030303030303030303030303030444420202020202020202020202060606060606060606060606060606060606060606060606022224412121212121212124444666612121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−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−iiiii−i−i−i−iiiii
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1111-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111-1-1111-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111-1-1111-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ121111-1-1111-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ131111-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ141111-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ151111-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ171-11-11-111-11-111-1-1-11-1i−ii−i1-111-1-11-1ii−i−iii−i−i1-11-111-1-11111-1-1-1-111-1-111-1-11-11-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-111-111-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i
χ181-11-11-111-11-111-1-1-11-1i−ii−i1-111-1-11-1ii−i−iii−i−i1-11-111-1-11111-1-1-1-111-1-111-1-11-11-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-111-111-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i-11-11-11-11−ii−ii−ii−ii
χ191-11-11-111-11-111-1-1-11-1i−ii−i1-111-1-11-1ii−i−iii−i−i1-11-111-1-11111-1-1-1-111-1-1-1-1111-11-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1-11-1-111-1-111−ii−ii-11-11−i−iii−i−iiii−ii−i−ii−ii-11-111-11-1
χ201-11-11-111-11-111-1-1-11-1i−ii−i1-111-1-11-1ii−i−iii−i−i1-11-111-1-11111-1-1-1-111-1-1-1-1111-11-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1-11-1-111-1-111−ii−ii-11-11−i−iii−i−iii−ii−iii−ii−i1-11-1-11-11
χ211-11-11-111-11-111-1-1-11-1−ii−ii1-111-1-11-1−i−iii−i−iii1-11-111-1-11111-1-1-1-111-1-111-1-11-11-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-111-111-1-111-1-1−ii−ii1-11-1−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii
χ221-11-11-111-11-111-1-1-11-1−ii−ii1-111-1-11-1−i−iii−i−iii1-11-111-1-11111-1-1-1-111-1-111-1-11-11-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-111-111-1-111-1-1−ii−ii1-11-1−i−iii−i−iii-11-11-11-11i−ii−ii−ii−i
χ231-11-11-111-11-111-1-1-11-1−ii−ii1-111-1-11-1−i−iii−i−iii1-11-111-1-11111-1-1-1-111-1-1-1-1111-11-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1-11-1-111-1-111i−ii−i-11-11ii−i−iii−i−ii−ii−i−ii−ii1-11-1-11-11
χ241-11-11-111-11-111-1-1-11-1−ii−ii1-111-1-11-1−i−iii−i−iii1-11-111-1-11111-1-1-1-111-1-1-1-1111-11-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1-11-1-111-1-111i−ii−i-11-11ii−i−iii−i−i−ii−iii−ii−i-11-111-11-1
χ251-11-1-1111-1-11-1-111-11-1i−i−ii1-1-1-1111-1ii−i−i−i−iii1-1-1111-1-1-1-1-1-1111111-1-111-1-11-1-11ii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii1-1-111-1-11i−i−iii−i−ii
χ261-11-1-1111-1-11-1-111-11-1i−i−ii1-1-1-1111-1ii−i−i−i−iii1-1-1111-1-1-1-1-1-1111111-1-111-1-11-1-11ii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1111-1-1-1-111i−i−ii1-1-11ii−i−i−i−iii-111-1-111-1−iii−i−iii−i
χ271-11-1-1111-1-11-1-111-11-1i−i−ii1-1-1-1111-1ii−i−i−i−iii1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-11ii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-11-1-1-11111-1-1−iii−i-111-1−i−iiiii−i−ii−i−ii−iii−i-111-11-1-11
χ281-11-1-1111-1-11-1-111-11-1i−i−ii1-1-1-1111-1ii−i−i−i−iii1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-11ii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-11-1-1-11111-1-1−iii−i-111-1−i−iiiii−i−i−iii−ii−i−ii1-1-11-111-1
χ291-11-1-1111-1-11-1-111-11-1−iii−i1-1-1-1111-1−i−iiiii−i−i1-1-1111-1-1-1-1-1-1111111-1-111-1-11-1-11−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i1-1-111-1-11−iii−i−iii−i
χ301-11-1-1111-1-11-1-111-11-1−iii−i1-1-1-1111-1−i−iiiii−i−i1-1-1111-1-1-1-1-1-1111111-1-111-1-11-1-11−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1111-1-1-1-111−iii−i1-1-11−i−iiiii−i−i-111-1-111-1i−i−iii−i−ii
χ311-11-1-1111-1-11-1-111-11-1−iii−i1-1-1-1111-1−i−iiiii−i−i1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-11−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1-1-11111-1-1i−i−ii-111-1ii−i−i−i−iiii−i−ii−iii−i1-1-11-111-1
χ321-11-1-1111-1-11-1-111-11-1−iii−i1-1-1-1111-1−i−iiiii−i−i1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-1-11−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1-1-11111-1-1i−i−ii-111-1ii−i−i−i−iii−iii−ii−i−ii-111-11-1-11
χ332222222-2-2-2-2222222200002222222200000000-2-2-2-222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-222222222220000-2-2-2-2000000000000000000000000
χ342222222-2-2-2-2222222200002222222200000000-2-2-2-22222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000
χ35222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ36222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2-2-21111111111110000000000000000
χ37222222-12222-1-1-1-1-1-1-1-2-2-2-22222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ38222222-12222-1-1-1-1-1-1-1-2-2-2-22222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-21111111122221111-1-1-1-1-1-1-1-10000000000000000
χ39222222-1-2-2-2-2-1-1-1-1-1-1-1000022222222−i3i3−i3i3−i3i3−i3i31111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-2-2-222-1-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i30000000000000000
χ40222222-1-2-2-2-2-1-1-1-1-1-1-1000022222222−i3i3−i3i3−i3i3−i3i31111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32222-2-2111111110000-1-1-1-1i3−i3i3−i3i3−i3i3−i30000000000000000
χ41222222-1-2-2-2-2-1-1-1-1-1-1-1000022222222i3−i3i3−i3i3−i3i3−i31111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-2-2-222-1-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i30000000000000000
χ42222222-1-2-2-2-2-1-1-1-1-1-1-1000022222222i3−i3i3−i3i3−i3i3−i31111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32222-2-2111111110000-1-1-1-1−i3i3−i3i3−i3i3−i3i30000000000000000
χ432222-2-22-2-222-2-2-2-2222000022-2-2-2-22200000000-2-2222222-2-2-2-2-2-2-2-222222222-2-22200000000-2-2-2-222220000000000000000-222-2-2-22222-2-2-2-20000-2-222000000000000000000000000
χ442222-2-22-2-222-2-2-2-2222000022-2-2-2-22200000000-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22200000000-2-2-2-2222200000000000000002-2-2222-2-2-2-22222000022-2-2000000000000000000000000
χ452222-2-2-122-2-21111-1-1-122-2-222-2-2-2-222-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1222222-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112-2-22-2-2-1-1-1-1111122-2-2-1-111-1-1-1-111110000000000000000
χ462222-2-2-122-2-21111-1-1-122-2-222-2-2-2-222-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-2-2-2-222-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-222-2221111-1-1-1-1-2-22211-1-11111-1-1-1-10000000000000000
χ472222-2-2-122-2-21111-1-1-1-2-22222-2-2-2-2221111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1222222-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-12-2-22-2-2-1-1-1-11111-2-222-1-1111111-1-1-1-10000000000000000
χ482222-2-2-122-2-21111-1-1-1-2-22222-2-2-2-2221111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-2-2-2-222-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-222-2221111-1-1-1-122-2-211-1-1-1-1-1-111110000000000000000
χ492222-2-2-1-2-2221111-1-1-1000022-2-2-2-222−i3i3−i3i3i3−i3i3−i311-1-1-1-1-1-111111111-1-1-1-12222-2-222000000001111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-222-2-2-2-1-1-1-11111000011-1-1−i3i3−i3i3i3−i3i3−i30000000000000000
χ502222-2-2-1-2-2221111-1-1-1000022-2-2-2-222−i3i3−i3i3i3−i3i3−i311-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-222000000001111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i32-2-22221111-1-1-1-10000-1-111i3−i3i3−i3−i3i3−i3i30000000000000000
χ512222-2-2-1-2-2221111-1-1-1000022-2-2-2-222i3−i3i3−i3−i3i3−i3i311-1-1-1-1-1-111111111-1-1-1-12222-2-222000000001111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-222-2-2-2-1-1-1-11111000011-1-1i3−i3i3−i3−i3i3−i3i30000000000000000
χ522222-2-2-1-2-2221111-1-1-1000022-2-2-2-222i3−i3i3−i3−i3i3−i3i311-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-222000000001111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32-2-22221111-1-1-1-10000-1-111−i3i3−i3i3i3−i3i3−i30000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.