Finite Group Databasebeta

← Group #12110607

Character table — Group #12110607

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111222222222222222222224444444444444444444444448888888888888888888888888888888888888888888888161616161616161620202020202020202020202040404040404040404040
order1222222244445510101010101010101010101010102244888810101010101010102020202020202020444444448820202020202020202020202020202020202020204040404040404040404040404040404020202020202020204444444488884444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111
χ711111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ91111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1
χ101111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111
χ111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1
χ121111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111
χ131111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-11111
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-1
χ17111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111-11-1ii−i−i1111-1-1-1-11111-1-1-1-1i−ii−i1-11-1i−i11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−ii−ii−ii−ii−i11-1-11-1i−ii−i1-11-1
χ18111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111-11-1ii−i−i1111-1-1-1-11111-1-1-1-1i−ii−i1-11-1i−i11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i−ii−ii−ii−ii-1-111-11−ii−ii-11-11
χ19111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111-11-1ii−i−i1111-1-1-1-11111-1-1-1-1−ii−ii-11-11i−i11-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiii−ii−ii−ii−i11-1-1-11−ii−ii-111-1
χ20111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111-11-1ii−i−i1111-1-1-1-11111-1-1-1-1−ii−ii-11-11i−i11-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−ii−ii−ii−ii-1-1111-1i−ii−i1-1-11
χ21111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111-11-1−i−iii1111-1-1-1-11111-1-1-1-1i−ii−i-11-11−ii11-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−ii−ii−ii−ii−i-1-1111-1−ii−ii1-1-11
χ22111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111-11-1−i−iii1111-1-1-1-11111-1-1-1-1i−ii−i-11-11−ii11-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−ii−ii−ii−ii11-1-1-11i−ii−i-111-1
χ23111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111-11-1−i−iii1111-1-1-1-11111-1-1-1-1−ii−ii1-11-1−ii11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iiii−ii−ii−ii−i-1-111-11i−ii−i-11-11
χ24111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111-11-1−i−iii1111-1-1-1-11111-1-1-1-1−ii−ii1-11-1−ii11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−ii−ii−ii−ii11-1-11-1−ii−ii1-11-1
χ25111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-11-11ii−i−i-1-1-1-111111111-1-1-1-1i−i−ii1-1-11−ii-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiii−i−iii−i−ii11-1-11-1i−i−ii-11-11
χ26111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-11-11ii−i−i-1-1-1-111111111-1-1-1-1i−i−ii1-1-11−ii-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−iii−i−iii−i-1-111-11−iii−i1-11-1
χ27111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-11-11ii−i−i-1-1-1-111111111-1-1-1-1−iii−i-111-1−ii-1-111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−ii−i−iii−i−ii11-1-1-11−iii−i1-1-11
χ28111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-11-11ii−i−i-1-1-1-111111111-1-1-1-1−iii−i-111-1−ii-1-111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−iii−i−iii−i-1-1111-1i−i−ii-111-1
χ29111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-11-11−i−iii-1-1-1-111111111-1-1-1-1i−i−ii-111-1i−i-1-111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiii−i−iii−i−ii-1-1111-1−iii−i-111-1
χ30111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-11-11−i−iii-1-1-1-111111111-1-1-1-1i−i−ii-111-1i−i-1-111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−iii−i−iii−i11-1-1-11i−i−ii1-1-11
χ31111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-11-11−i−iii-1-1-1-111111111-1-1-1-1−iii−i1-1-11i−i-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−ii−i−iii−i−ii-1-111-11i−i−ii1-11-1
χ32111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-11-11−i−iii-1-1-1-111111111-1-1-1-1−iii−i1-1-11i−i-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−iii−i−iii−i11-1-11-1−iii−i-11-11
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+52−1−5222222222−1+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+52−1−52−1−522222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−5222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-222−1+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+52−1−52−1−521−521+521−521+521−521+521−521+520000000000000000000000
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+52−1−522222-2-2-2-2−1+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+52−1−52−1−522222-2-2-2-2-2-2−1+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−522222-2-2-2-2−1+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+52−1−52−1−52-2-2-2-22222-2-2−1+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+521−521+521−521+521−521+521−521+520000000000000000000000
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+52−1−52-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-21−521+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+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
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+52−1−52-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-21−521+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+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222221−521+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+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
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+52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2221−521+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+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
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+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+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ42222222222222−1−52−1+52−1−52−1−52−1+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+52-2-2-2-2-2-2-2-222−1−52−1+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+521+521−521+521−521+521−521+521−520000000000000000000000
χ43222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-2−1−52−1+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+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ44222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222-2-2−1−52−1+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+521−521−521+521−521+521−521+521−521+521−520000000000000000000000
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χ1184-4-4-444-444-4-44−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+500000000000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000000000
χ1194-4-4-444-444-4-44−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+500000000000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000000000000
χ1204-4-4-444-44-444-444-4-4-4-4-44-444-44-44400000000000000004-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1214-4-4-444-44-444-4−1+5−1−51−51−51+51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−50000000000000000−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000
χ1224-4-4-444-44-444-4−1+5−1−51−51−51+51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−50000000000000000−1+51−5−1−51+51−5−1+51+5−1−50000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000
χ1234-4-4-444-44-444-4−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+50000000000000000−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000
χ1244-4-4-444-44-444-4−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+50000000000000000−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000
χ12588-88-88-8-80000−2+25−2−25−2+252−25−2−252+25−2+252−25−2−252+25−2+252−25−2−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-88-88-8-80000−2−25−2+25−2−252+25−2+252−25−2−252+25−2+252−25−2−252+25−2+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-88-88-80000−2+25−2−25−2+252−25−2−252+252−25−2+252+25−2−252−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-88-88-80000−2−25−2+25−2−252+25−2+252−252+25−2−252−25−2+252+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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