Finite Group Databasebeta

← Group #14295643

Character table — Group #14295643

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222224444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101010102020202020202020202020202020202060606060606060606060606060606060
order12223444444666121212122244566661010101212121212121212151520202020303030303030606060606060606044441010101020202020202020203030303030303030606060606060606060606060606060602244441212121212121212444466121212121212121212124444444488888888
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
χ5111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111-1-111-1-1111-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111-1-111-1-1111-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111-1-111-1-1111-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ1211111-1-111-1-1111-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ1311111-1-111-1-1111-1-1-1-1-1-1111-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1411111-1-111-1-1111-1-1-1-1-1-1111-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1511111-1-111-1-1111-1-1-1-1-1-1111-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111-1-111-1-1111-1-1-1-1-1-1111-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ171-11-11i−i1-1i−i-11-1ii−i−i1-1i−i111-1-11-1-1ii−i−i1-1i−i11ii−i−i11-1-1-1-1iiii−i−i−i−i11-1-111-1-11-1i−iii−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1-1i−ii−i11-1-1ii−i−i1-1i−i1-1i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i1-1i−i
χ181-11-11i−i1-1i−i-11-1ii−i−i1-1i−i111-1-11-1-1ii−i−i1-1i−i11ii−i−i11-1-1-1-1iiii−i−i−i−i11-1-111-1-11-1i−iii−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1-1i−ii−i11-1-1ii−i−i1-1i−i1-1i−i11-1-1ii−i−i-11−ii-11−ii-11−ii-11−ii
χ191-11-11i−i1-1i−i-11-1ii−i−i1-1i−i111-1-11-1-1ii−i−i1-1i−i11ii−i−i11-1-1-1-1iiii−i−i−i−i-1-11111-1-11-1i−iii−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i-11−ii−ii-1-111−i−iii-11−ii-11−ii-1-111−i−iiii−i-11−ii1-1i−i-11−ii1-1
χ201-11-11i−i1-1i−i-11-1ii−i−i1-1i−i111-1-11-1-1ii−i−i1-1i−i11ii−i−i11-1-1-1-1iiii−i−i−i−i-1-11111-1-11-1i−iii−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i-11−ii−ii-1-111−i−iii-11−ii-11−ii-1-111−i−iii−ii1-1i−i-11−ii1-1i−i-11
χ211-11-11i−i1-1i−i-11-1ii−i−i-11−ii1-1-1111-1-1−i−iii1-1i−i11ii−i−i11-1-1-1-1iiii−i−i−i−i11-1-1-1-1111-1i−i−i−iii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii1-1i−ii−i11-1-1ii−i−i-11−ii1-1i−i-1-111−i−iii1-1i−i1-1i−i-11−ii-11−ii
χ221-11-11i−i1-1i−i-11-1ii−i−i-11−ii1-1-1111-1-1−i−iii1-1i−i11ii−i−i11-1-1-1-1iiii−i−i−i−i11-1-1-1-1111-1i−i−i−iii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii1-1i−ii−i11-1-1ii−i−i-11−ii1-1i−i-1-111−i−iii-11−ii-11−ii1-1i−i1-1i−i
χ231-11-11i−i1-1i−i-11-1ii−i−i-11−ii1-1-1111-1-1−i−iii1-1i−i11ii−i−i11-1-1-1-1iiii−i−i−i−i-1-111-1-1111-1i−i−i−iii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii-11−ii−ii-1-111−i−iii1-1i−i-11−ii11-1-1ii−i−ii−i-11−ii1-1−ii1-1i−i-11
χ241-11-11i−i1-1i−i-11-1ii−i−i-11−ii1-1-1111-1-1−i−iii1-1i−i11ii−i−i11-1-1-1-1iiii−i−i−i−i-1-111-1-1111-1i−i−i−iii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii-11−ii−ii-1-111−i−iii1-1i−i-11−ii11-1-1ii−i−i−ii1-1i−i-11i−i-11−ii1-1
χ251-11-11−ii1-1−ii-11-1−i−iii1-1−ii111-1-11-1-1−i−iii1-1−ii11−i−iii11-1-1-1-1−i−i−i−iiiii11-1-111-1-11-1−ii−i−iii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii1-1−ii−ii11-1-1−i−iii1-1−ii1-1−ii11-1-1−i−iii1-1−ii1-1−ii1-1−ii1-1−ii
χ261-11-11−ii1-1−ii-11-1−i−iii1-1−ii111-1-11-1-1−i−iii1-1−ii11−i−iii11-1-1-1-1−i−i−i−iiiii11-1-111-1-11-1−ii−i−iii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii1-1−ii−ii11-1-1−i−iii1-1−ii1-1−ii11-1-1−i−iii-11i−i-11i−i-11i−i-11i−i
χ271-11-11−ii1-1−ii-11-1−i−iii1-1−ii111-1-11-1-1−i−iii1-1−ii11−i−iii11-1-1-1-1−i−i−i−iiiii-1-11111-1-11-1−ii−i−iii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii-11i−ii−i-1-111ii−i−i-11i−i-11i−i-1-111ii−i−ii−i1-1−ii-11i−i1-1−ii-11
χ281-11-11−ii1-1−ii-11-1−i−iii1-1−ii111-1-11-1-1−i−iii1-1−ii11−i−iii11-1-1-1-1−i−i−i−iiiii-1-11111-1-11-1−ii−i−iii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii-11i−ii−i-1-111ii−i−i-11i−i-11i−i-1-111ii−i−i−ii-11i−i1-1−ii-11i−i1-1
χ291-11-11−ii1-1−ii-11-1−i−iii-11i−i1-1-1111-1-1ii−i−i1-1−ii11−i−iii11-1-1-1-1−i−i−i−iiiii11-1-1-1-1111-1−iiii−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i1-1−ii−ii11-1-1−i−iii-11i−i1-1−ii-1-111ii−i−i1-1−ii1-1−ii-11i−i-11i−i
χ301-11-11−ii1-1−ii-11-1−i−iii-11i−i1-1-1111-1-1ii−i−i1-1−ii11−i−iii11-1-1-1-1−i−i−i−iiiii11-1-1-1-1111-1−iiii−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i1-1−ii−ii11-1-1−i−iii-11i−i1-1−ii-1-111ii−i−i-11i−i-11i−i1-1−ii1-1−ii
χ311-11-11−ii1-1−ii-11-1−i−iii-11i−i1-1-1111-1-1ii−i−i1-1−ii11−i−iii11-1-1-1-1−i−i−i−iiiii-1-111-1-1111-1−iiii−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i-11i−ii−i-1-111ii−i−i1-1−ii-11i−i11-1-1−i−iiii−i1-1−ii-11−ii-11i−i1-1
χ321-11-11−ii1-1−ii-11-1−i−iii-11i−i1-1-1111-1-1ii−i−i1-1−ii11−i−iii11-1-1-1-1−i−i−i−iiiii-1-111-1-1111-1−iiii−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i-11i−ii−i-1-111ii−i−i1-1−ii-11i−i11-1-1−i−iii−ii-11i−i1-1i−i1-1−ii-11
χ332222222-2-2-2-222222220000200002220000-2-2-2-22222222222222222222222220000-2-2-2-2000000000000-2-2-2-2-2-2-2-200000000-2-2-2-222222222220000-2-2-2-2000000000000000000000000
χ342222222-2-2-2-222222220000200002220000-2-2-2-222222222222222222222-2-2-2-20000-2-2-2-2000000000000-2-2-2-2-2-2-2-2000000002222-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000
χ3522222-2-2-2-222222-2-2-2-20000200002220000-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-222220000-2-222000000000000-2-2-2-2222200000000-2-222-2-22222-2-2-2-20000-2-222000000000000000000000000
χ3622222-2-2-2-222222-2-2-2-20000200002220000-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-222000000000000-2-2-2-222220000000022-2-222-2-2-2-22222000022-2-2000000000000000000000000
χ372222-1222222-1-1-1-1-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ382222-1222222-1-1-1-1-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2-2-21111111111110000000000000000
χ392222-1222222-1-1-1-1-1-1-1-2-2-2-2211112221111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ402222-1222222-1-1-1-1-1-1-1-2-2-2-2211112221111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2-2-21111111122221111-1-1-1-1-1-1-1-10000000000000000
χ412222-122-2-2-2-2-1-1-1-1-1-1-100002−i3i3−i3i3222−i3i3−i3i31111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-20000−i3−i3i3i3−i3−i3i3i311111111−i3−i3i3i3−i3−i3i3i3-2-2-2-222-1-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i30000000000000000
χ422222-122-2-2-2-2-1-1-1-1-1-1-100002−i3i3−i3i3222−i3i3−i3i31111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-20000−i3−i3i3i3−i3−i3i3i311111111−i3−i3i3i3−i3−i3i3i32222-2-2111111110000-1-1-1-1i3−i3i3−i3i3−i3i3−i30000000000000000
χ432222-122-2-2-2-2-1-1-1-1-1-1-100002i3−i3i3−i3222i3−i3i3−i31111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-20000i3i3−i3−i3i3i3−i3−i311111111i3i3−i3−i3i3i3−i3−i3-2-2-2-222-1-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i30000000000000000
χ442222-122-2-2-2-2-1-1-1-1-1-1-100002i3−i3i3−i3222i3−i3i3−i31111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-20000i3i3−i3−i3i3i3−i3−i311111111i3i3−i3−i3i3i3−i3−i32222-2-2111111110000-1-1-1-1−i3i3−i3i3−i3i3−i3i30000000000000000
χ452222-1-2-222-2-2-1-1-1111122-2-22-1-1-1-12221111-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111122-2-2-2-2-1-1-1-1111122-2-2-1-111-1-1-1-111110000000000000000
χ462222-1-2-222-2-2-1-1-1111122-2-22-1-1-1-12221111-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-222221111-1-1-1-1-2-22211-1-11111-1-1-1-10000000000000000
χ472222-1-2-222-2-2-1-1-11111-2-22221111222-1-1-1-1-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-2-2-222-2-2222211111111-1-1-1-11111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111-2-222-1-1111111-1-1-1-10000000000000000
χ482222-1-2-222-2-2-1-1-11111-2-22221111222-1-1-1-1-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-2-2-222-2-2222211111111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222221111-1-1-1-122-2-211-1-1-1-1-1-111110000000000000000
χ492222-1-2-2-2-222-1-1-1111100002−i3i3−i3i3222i3−i3i3−i311-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111122220000-2-2220000−i3−i3i3i3−i3−i3i3i31111-1-1-1-1i3i3−i3−i3i3i3−i3−i3-2-222-2-2-1-1-1-11111000011-1-1−i3i3−i3i3i3−i3i3−i30000000000000000
χ502222-1-2-2-2-222-1-1-1111100002−i3i3−i3i3222i3−i3i3−i311-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-20000-2-2220000−i3−i3i3i3−i3−i3i3i31111-1-1-1-1i3i3−i3−i3i3i3−i3−i322-2-2221111-1-1-1-10000-1-111i3−i3i3−i3−i3i3−i3i30000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.