Finite Group Databasebeta

← Group #12110570

Character table — Group #12110570

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111222222222222222222222222444444444444444444888888888888888888888888888888888888888888888888101010101616161616161616202020202020404040404040404040404040
order1222222244444444551010101010101010101010101010222020202020202020202020202020202022224444888810101010101010101010101020202020202020204040404040404040404040404040404044441010101020202020444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1
χ1011111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ1211111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1311111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ1411111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ1511111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1
χ1611111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111
χ171111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-111111-11-11-11-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i11-1-111-1-1i−ii−ii−ii−ii−ii−ii−ii−ii−i
χ181111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-111111-11-11-11-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii11-1-111-1-1−ii−ii−ii−ii−ii−ii−ii−ii−ii
χ191111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-111111-1-111-1-11-11-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−i11-1-111-1-1i−ii−ii−i−iii−ii−i−ii−ii−ii
χ201111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-111111-1-111-1-11-11-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii11-1-111-1-1−ii−ii−iii−i−ii−iii−ii−ii−i
χ211111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-111-1-111-1-11-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i-1-111-1-111i−ii−ii−ii−i−ii−iii−i−ii−ii
χ221111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-111-1-111-1-11-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii-1-111-1-111−ii−ii−ii−iii−ii−i−iii−ii−i
χ231111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-11-11-11-111-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−i-1-111-1-111i−ii−ii−i−ii−ii−ii−iii−ii−i
χ241111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-11-11-11-111-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii-1-111-1-111−ii−ii−iii−ii−ii−ii−i−ii−ii
χ251111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111111-11-1-11-111-1-11-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i11-1-1-1-111i−i−ii−ii−iii−i−iii−ii−i−ii
χ261111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111111-11-1-11-111-1-11-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iii11-1-1-1-111−iii−ii−ii−i−iii−i−ii−iii−i
χ271111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111111-1-11-111-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i11-1-1-1-111i−i−ii−iii−ii−i−ii−ii−iii−i
χ281111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111111111-1-11-111-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iii11-1-1-1-111−iii−ii−i−ii−iii−ii−ii−i−ii
χ291111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-111-11-1-11-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i-1-11111-1-1i−i−ii−ii−ii−iii−ii−i−iii−i
χ301111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-111-11-1-11-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii-1-11111-1-1−iii−ii−ii−ii−i−ii−iii−i−ii
χ311111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-11-111-11-11-1-11-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i-1-11111-1-1i−i−ii−iii−i−iii−i−iii−i−ii
χ321111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-11-111-11-11-1-11-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii-1-11111-1-1−iii−ii−i−iii−i−iii−i−iii−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+52−1−5222−1+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+52−1−52−1−52222222222222−1+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+52−1−52−1−520000−1+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+52−1−5222−1+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+52−1−52−1−5222-2-222-2-2-2-2-2-2−1+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+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
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+52−1−5222−1+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+52−1−52−1−52-2-222-2-222-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200001−521+521−521+521−521+521−521+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+52−1−5222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+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+5222−1−52−1−52−1+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+52222222222222−1−52−1+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+520000−1−52−1+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+5222−1−52−1−52−1+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+5222-2-222-2-2-2-2-2-2−1−52−1+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+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+5222−1−52−1−52−1+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+52-2-222-2-222-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−521+521−52000000000000000000
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+5222−1−52−1−52−1+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+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−52000000000000000000
χ41222222222222-2-2-2-22222222222222222-2-2-2-2-2-222222222-2-2-2-2000000000000-2-2-2-200000000000000000000000000000000222200000000-2-222-2-2000000000000
χ42222222222222-2-2-2-22222222222222222-2-2-2-2-2-222222222-2-2-2-2000000000000-2-2-2-200000000000000000000000000000000-2-2-2-20000000022-2-222000000000000
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+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522222-2-2-2-222-2-21−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−521−521+521−521+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+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2221−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ4522222222-2-2-2-22222−1+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+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-22222-2-2-2-2221−521+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+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ4622222222-2-2-2-22222−1+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+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2-2-2222222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
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χ1258-88-888-8-800000000−2+25−2−252−252+25−2+252−25−2+252−25−2−252+25−2−252+25−2+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-888-8-800000000−2−25−2+252+252−25−2−252+25−2−252+25−2+252−25−2+252−25−2−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-8-88800000000−2+25−2−252−252+252−25−2+252−25−2+252+25−2−252+25−2−25−2+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-88-8-8-88800000000−2−25−2+252+252−252+25−2−252+25−2−252−25−2+252−25−2+25−2−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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