Finite Group Databasebeta

← Group #12106955

Character table — Group #12106955

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111111122222222222222222222222244444444444444444444444444888888888888888888888888888888888888888888881010101010101010101010101616161616161616202020202020202020204040404040404040
order1222222244444444551010101010101010101010101010444444444420202020202020202020202020202020444488882020202020202020202020202020202020202020404040404040404040404040404040404444444444442020202020202020444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ1011111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ1111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ1211111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-111-1-1
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ171-11-11-1-11ii−i−i1-11-11111-1-1-1-1-1-11111-1-111-1-1i−iii−i−iiiii−i−i−i−i11-1-111-1-1i−i1-1i−i1-11111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i11-1-111-1-1ii−i−i1-1ii−i−i11-1-1i−i1-11-1i−i
χ181-11-11-1-11ii−i−i1-11-11111-1-1-1-1-1-11111-1-111-1-1i−iii−i−iiiii−i−i−i−i11-1-111-1-1i−i1-1i−i1-11111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii-1-11111-1-1ii−i−i-11−i−iii-1-111−ii-11-11−ii
χ191-11-11-1-11ii−i−i1-11-11111-1-1-1-1-1-11111-1-111-1-1i−iii−i−iiiii−i−i−i−i11-1-111-1-1−ii-11−ii-111111-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i11-1-1-1-111−i−iii1-1ii−i−i11-1-1−ii-11-11−ii
χ201-11-11-1-11ii−i−i1-11-11111-1-1-1-1-1-11111-1-111-1-1i−iii−i−iiiii−i−i−i−i11-1-111-1-1−ii-11−ii-111111-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii−i−iii-1-111-1-111−i−iii-11−i−iii-1-111i−i1-11-1i−i
χ211-11-11-1-11ii−i−i1-11-11111-1-1-1-1-1-11111-1-1-1-111i−i−i−iiiiiii−i−i−i−i11-1-111-1-1i−i1-1−ii-11-1-1-1-11111ii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i11-1-111-1-1ii−i−i1-1−i−iii-1-111i−i1-1-11−ii
χ221-11-11-1-11ii−i−i1-11-11111-1-1-1-1-1-11111-1-1-1-111i−i−i−iiiiiii−i−i−i−i11-1-111-1-1i−i1-1−ii-11-1-1-1-11111ii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111−i−iii−i−iii-1-11111-1-1ii−i−i-11ii−i−i11-1-1−ii-111-1i−i
χ231-11-11-1-11ii−i−i1-11-11111-1-1-1-1-1-11111-1-1-1-111i−i−i−iiiiiii−i−i−i−i11-1-111-1-1−ii-11i−i1-1-1-1-1-11111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1-1-111−i−iii1-1−i−iii-1-111−ii-111-1i−i
χ241-11-11-1-11ii−i−i1-11-11111-1-1-1-1-1-11111-1-1-1-111i−i−i−iiiiiii−i−i−i−i11-1-111-1-1−ii-11i−i1-1-1-1-1-11111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii-1-111-1-111−i−iii-11ii−i−i11-1-1i−i1-1-11−ii
χ251-11-11-1-11−i−iii1-11-11111-1-1-1-1-1-11111-1-111-1-1−ii−i−iii−i−i−i−iiiii11-1-111-1-1i−i-11i−i-111111-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−iii−i−i-1-111-1-111ii−i−i-11ii−i−i-1-111−ii1-11-1−ii
χ261-11-11-1-11−i−iii1-11-11111-1-1-1-1-1-11111-1-111-1-1−ii−i−iii−i−i−i−iiiii11-1-111-1-1i−i-11i−i-111111-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii11-1-1-1-111ii−i−i1-1−i−iii11-1-1i−i-11-11i−i
χ271-11-11-1-11−i−iii1-11-11111-1-1-1-1-1-11111-1-111-1-1−ii−i−iii−i−i−i−iiiii11-1-111-1-1−ii1-1−ii1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i-1-11111-1-1−i−iii-11ii−i−i-1-111i−i-11-11i−i
χ281-11-11-1-11−i−iii1-11-11111-1-1-1-1-1-11111-1-111-1-1−ii−i−iii−i−i−i−iiiii11-1-111-1-1−ii1-1−ii1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−iii1-1−i−iii11-1-1−ii1-11-1−ii
χ291-11-11-1-11−i−iii1-11-11111-1-1-1-1-1-11111-1-1-1-111−iiii−i−i−i−i−i−iiiii11-1-111-1-1i−i-11−ii1-1-1-1-1-11111−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i-1-111-1-111ii−i−i-11−i−iii11-1-1−ii1-1-11i−i
χ301-11-11-1-11−i−iii1-11-11111-1-1-1-1-1-11111-1-1-1-111−iiii−i−i−i−i−i−iiiii11-1-111-1-1i−i-11−ii1-1-1-1-1-11111−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii11-1-1-1-111ii−i−i1-1ii−i−i-1-111i−i-111-1−ii
χ311-11-11-1-11−i−iii1-11-11111-1-1-1-1-1-11111-1-1-1-111−iiii−i−i−i−i−i−iiiii11-1-111-1-1−ii1-1i−i-11-1-1-1-11111−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111ii−i−iii−i−i-1-11111-1-1−i−iii-11−i−iii11-1-1i−i-111-1−ii
χ321-11-11-1-11−i−iii1-11-11111-1-1-1-1-1-11111-1-1-1-111−iiii−i−i−i−i−i−iiiii11-1-111-1-1−ii1-1i−i-11-1-1-1-11111−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii11-1-111-1-1−i−iii1-1ii−i−i-1-111−ii1-1-11i−i
χ332222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ342222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000001−521+521−521+521−521+521−521+52000000000000000000
χ352222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ362222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000001−521+521−521+521−521+521−521+52000000000000000000
χ372222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ382222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000001+521−521+521−521+521−521+521−52000000000000000000
χ392222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ402222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000001+521−521+521−521+521−521+521−52000000000000000000
χ41222222222222-2-2-2-222222222222222220000-2-2000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000000000000000000002222-2-2-2-2222200000000-2-20000000000000000
χ42222222222222-2-2-2-222222222222222220000-2-2000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000-2-2-2-22222-2-2-2-200000000220000000000000000
χ4322222222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ4422222222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
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χ1344-4-4444-4-4−4i4i4i−4i0000−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51−51+51−51+51−5−1−5−1+500000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000000000000000000
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χ1364-4-4-4-44440000000044-4-4-44-44-4-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000-444-400000000000000000000000000
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χ1408-8-8-8-888800000000−2−25−2+252+252−252+25−2−252−25−2+252+252−25−2−25−2+252+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.