Finite Group Databasebeta

← Group #12110665

Character table — Group #12110665

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111111122222222222222222222444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888882020202020202020404040404040404040404040
order1222222244445510101010101010101010101010102244444444442020202020202020202020202020202020202020202020202244444410101010101010101010101020202020202020202020202020202020202020202020202020202020202020202020202088888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111
χ91111111111111111111111111111-1-111-1-111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111
χ101111111111111111111111111111-1-111-1-111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1
χ111111111111111111111111111111-1-111-1-111-1-1-1-1111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ121111111111111111111111111111-1-111-1-111-1-1-1-1111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ131111111111111111111111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ141111111111111111111111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ151111111111111111111111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1
χ161111111111111111111111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ17111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11-1i−ii−ii−ii−i1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i11-1-11111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−iii−i−i11-1-1i−ii−i1-11-1i−i1-1
χ18111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11-1i−ii−ii−ii−i1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i11-1-11111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i−i−iii-1-111−ii−ii-11-11−ii-11
χ19111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11-1i−ii−ii−ii−i1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii11-1-1-1-1-1-1111111-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i11-1-1−ii−ii-11-11i−i1-1
χ20111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11-1i−ii−ii−ii−i1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii11-1-1-1-1-1-1111111-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i−i−i−i−iiiii−i−iii-1-111i−ii−i1-11-1−ii-11
χ21111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11-1−ii−ii−ii−ii1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii11-1-11111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiiiii−i−i-1-111i−ii−i-11-11i−i-11
χ22111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11-1−ii−ii−ii−ii1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii11-1-11111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−iii11-1-1−ii−ii1-11-1−ii1-1
χ23111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11-1−ii−ii−ii−ii1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i11-1-1-1-1-1-1111111-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−i−iiiiiii−i−i−i−iii−i−i-1-111−ii−ii1-11-1i−i-11
χ24111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-11-1−ii−ii−ii−ii1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i11-1-1-1-1-1-1111111-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iii11-1-1i−ii−i-11-11−ii1-1
χ25111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-11i−i−iii−i−ii-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-11i−i−ii-1-1111111-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−i−iiiiiii−i−i−i−iii−i−i-1-111i−i−ii1-1-11−ii1-1
χ26111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-11i−i−iii−i−ii-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-11i−i−ii-1-1111111-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−i−iiiiiii−i−i−i−i−i−iii11-1-1−iii−i-111-1i−i-11
χ27111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-11i−i−iii−i−ii-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1−iii−i-1-111-1-1-1-11111-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiiiii−i−i-1-111−iii−i-111-1−ii1-1
χ28111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-11i−i−iii−i−ii-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1−iii−i-1-111-1-1-1-11111-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii−i−iii11-1-1i−i−ii1-1-11i−i-11
χ29111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-11−iii−i−iii−i-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-11−iii−i-1-1111111-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−iii−i−i−i−i−i−iiiiiii−i−i11-1-1i−i−ii-111-1−ii-11
χ30111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-11−iii−i−iii−i-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-11−iii−i-1-1111111-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−iii−i−i−i−i−i−iiiii−i−iii-1-111−iii−i1-1-11i−i1-1
χ31111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-11−iii−i−iii−i-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1i−i−ii-1-111-1-1-1-11111-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−iii−i−i11-1-1−iii−i1-1-11−ii-11
χ32111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-11−iii−i−iii−i-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1i−i−ii-1-111-1-1-1-11111-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−i−i−iii-1-111i−i−ii-111-1i−i1-1
χ33222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−5222222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ34222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ35222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2-222−1+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+522222-2-2-2-2−1+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+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+5200000000000000000000
χ36222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2-222−1+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+52-2-2-2-22222−1+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+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+52−1−52−1−5200000000000000000000
χ37222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-21−521+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+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
χ38222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2221−521+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+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+5200000000000000000000
χ39222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-222-2-2−1+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+521−521−521+521+5222-2-2-2-2221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+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+52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ40222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-222-2-2−1+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+521−521−521+521+52-2-22222-2-21−521+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+52−1−52−1−52−1+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+52−1−52−1−5200000000000000000000
χ41222222222222−1−52−1+52−1−52−1+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+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+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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χ1254-4-4-4-44444-4-44−1+5−1−51−51+5−1+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−51+5000000000000−1+51−5−1−51+51−5−1+51+5−1−52ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-4-4-44444-4-44−1−5−1+51+51−5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+51−5000000000000−1−51+5−1+51−51+5−1−51−5−1+52ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1314-4-4-4-4444-444-4−1−5−1+51+51−5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+51−50000000000001+5−1−51−5−1+5−1−51+5−1+51−52ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-4-4-4444-444-4−1−5−1+51+51−5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+51−50000000000001+5−1−51−5−1+5−1−51+5−1+51−5−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.