Finite Group Databasebeta

← Group #12115310

Character table — Group #12115310

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111222222222222222222222244444444444444444444444444444444444444448888888888888888888888888888888888888888888888888888882020202020202020404040404040404040404040
order1222224444551010101010102020202020202020224444448888888810101010202020204040404040404040404040404040404044888810101010202020202020202020202020202020202020202040404040404040404040404040404040404040404040404022224444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111
χ51111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ911111111111111111111111111-1-11111-1-11111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ1011111111111111111111111111-1-11111-1-11111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111
χ1211111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ1311111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ1411111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1
χ1611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-11111-1-111-1-1-1-111
χ171-1-111-11-11-111-1-1-1-111-1-1-1-111111-1ii−i−i1-111-1-1ii−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-11-11-11-1i−ii−i1-11-1i−ii−i
χ181-1-111-11-11-111-1-1-1-111-1-1-1-111111-1ii−i−i1-111-1-1ii−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-11-11-11−ii−ii-11-11−ii−ii
χ191-1-111-11-11-111-1-1-1-111-1-1-1-111111-1ii−i−i1-1-1-111ii−i−i11-1-111-1-1-1-1-1-1-1-1-1-111111111−ii−ii-1111-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1-111-1-11i−i−ii1-1-11i−i−ii
χ201-1-111-11-11-111-1-1-1-111-1-1-1-111111-1ii−i−i1-1-1-111ii−i−i11-1-111-1-1-1-1-1-1-1-1-1-111111111−ii−ii-1111-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-111-1-111-1−iii−i-111-1−iii−i
χ211-1-111-11-11-111-1-1-1-111-1-1-1-111111-1−i−iii1-111-1-1−i−iii11-1-111-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-11-11-11-1−ii−ii1-11-1−ii−ii
χ221-1-111-11-11-111-1-1-1-111-1-1-1-111111-1−i−iii1-111-1-1−i−iii11-1-111-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11-11-11-11i−ii−i-11-11i−ii−i
χ231-1-111-11-11-111-1-1-1-111-1-1-1-111111-1−i−iii1-1-1-111−i−iii11-1-111-1-1-1-1-1-1-1-1-1-111111111i−ii−i-1111-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1-111-1-11−iii−i1-1-11−iii−i
χ241-1-111-11-11-111-1-1-1-111-1-1-1-111111-1−i−iii1-1-1-111−i−iii11-1-111-1-1-1-1-1-1-1-1-1-111111111i−ii−i-1111-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-111-1-111-1i−i−ii-111-1i−i−ii
χ251-1-111-11-11-111-1-1-1-111-1-1-1-11111-11ii−i−i-1111-1-1−i−iii11-1-111-1-111111111-1-1-1-1-1-1-1-1−iii−i-11-1-111iiii−i−i−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-11-11-11-1i−ii−i-11-11−ii−ii
χ261-1-111-11-11-111-1-1-1-111-1-1-1-11111-11ii−i−i-1111-1-1−i−iii11-1-111-1-111111111-1-1-1-1-1-1-1-1−iii−i-11-1-111iiii−i−i−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11-11-11-11−ii−ii1-11-1i−ii−i
χ271-1-111-11-11-111-1-1-1-111-1-1-1-11111-11ii−i−i-11-1-111−i−iii11-1-111-1-1-1-1-1-1-1-1-1-111111111i−i−ii1-1-1-111iiii−i−i−i−i-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1-111-1-11i−i−ii-111-1−iii−i
χ281-1-111-11-11-111-1-1-1-111-1-1-1-11111-11ii−i−i-11-1-111−i−iii11-1-111-1-1-1-1-1-1-1-1-1-111111111i−i−ii1-1-1-111iiii−i−i−i−i-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-111-1-111-1−iii−i1-1-11i−i−ii
χ291-1-111-11-11-111-1-1-1-111-1-1-1-11111-11−i−iii-1111-1-1ii−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1i−i−ii-11-1-111−i−i−i−iiiii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-11-11-11-1−ii−ii-11-11i−ii−i
χ301-1-111-11-11-111-1-1-1-111-1-1-1-11111-11−i−iii-1111-1-1ii−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1i−i−ii-11-1-111−i−i−i−iiiii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11-11-11-11i−ii−i1-11-1−ii−ii
χ311-1-111-11-11-111-1-1-1-111-1-1-1-11111-11−i−iii-11-1-111ii−i−i11-1-111-1-1-1-1-1-1-1-1-1-111111111−iii−i1-1-1-111−i−i−i−iiiii-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1-111-1-11−iii−i-111-1i−i−ii
χ321-1-111-11-11-111-1-1-1-111-1-1-1-11111-11−i−iii-11-1-111ii−i−i11-1-111-1-1-1-1-1-1-1-1-1-111111111−iii−i1-1-1-111−i−i−i−iiiii-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-111-1-111-1i−i−ii1-1-11−iii−i
χ332222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ342222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222-2-2-2-22222−1+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+52-2-2-2-2-2-2−1+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+52−1−521−521−521+521+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+52−1−52−1−5200000000000000000000
χ352222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2222222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−521−521−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ362222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+5200000000000000000000
χ372222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-22222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52-2-222-2-21−521+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+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+521−521−521+521+521−521−521+521+5200000000000000000000
χ382222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+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+5200000000000000000000
χ392222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-21−521+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+52−1−52−1−521−521−521+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+52−1−52−1−5200000000000000000000
χ402222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2-2-2-2-22222−1+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+52-2-222221−521+521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ412222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.