Finite Group Databasebeta

← Group #12100310

Character table — Group #12100310

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111111122222222222222222222444444444444444444444444444444448888888888888888888888888888888888888888881010101010101010161616161616161620202020202020202020202020202020404040404040
order1222222244445510101010101010101010101010102222444444448888202020202020202020202020202020204444881010101010101010202020202020202020202020404040404040404040404040404040402222444420202020202020202222444444448888444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1
χ91111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1
χ101111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111
χ111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-11111-1-1-1-111
χ1711-1-11-11-11-11-11111-1-1-1-111-1-111-1-111-1-1ii−i−ii−ii−i11-1-111-1-1iiii−i−i−i−i11-1-1i−i1-1i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-111-1-111-1-1ii−i−i11-1-1i−iii−i−ii−i11-1-11-1i−ii−i
χ1811-1-11-11-11-11-11111-1-1-1-111-1-111-1-111-1-1ii−i−ii−ii−i11-1-111-1-1iiii−i−i−i−i11-1-1i−i1-1i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-1-11111-1-1ii−i−i-1-111−ii−i−iii−ii-1-111-11−ii−ii
χ1911-1-11-11-11-11-11111-1-1-1-111-1-111-1-111-1-1ii−i−ii−ii−i-1-11111-1-1iiii−i−i−i−i11-1-1−ii-11−ii1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-111-1-1-1-111−i−iii11-1-1i−iii−i−ii−i-1-111-11−ii−ii
χ2011-1-11-11-11-11-11111-1-1-1-111-1-111-1-111-1-1ii−i−ii−ii−i-1-11111-1-1iiii−i−i−i−i11-1-1−ii-11−ii1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111-1-111-1-111−i−iii-1-111−ii−i−iii−ii11-1-11-1i−ii−i
χ2111-1-11-11-11-11-11111-1-1-1-111-1-111-1-111-1-1−i−iii−ii−ii11-1-111-1-1−i−i−i−iiiii11-1-1−ii1-1−ii1111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-111-1-111-1-1−i−iii11-1-1−ii−i−iii−ii11-1-11-1−ii−ii
χ2211-1-11-11-11-11-11111-1-1-1-111-1-111-1-111-1-1−i−iii−ii−ii11-1-111-1-1−i−i−i−iiiii11-1-1−ii1-1−ii1111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111-1-11111-1-1−i−iii-1-111i−iii−i−ii−i-1-111-11i−ii−i
χ2311-1-11-11-11-11-11111-1-1-1-111-1-111-1-111-1-1−i−iii−ii−ii-1-11111-1-1−i−i−i−iiiii11-1-1i−i-11i−i1111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-111-1-1-1-111ii−i−i11-1-1−ii−i−iii−ii-1-111-11i−ii−i
χ2411-1-11-11-11-11-11111-1-1-1-111-1-111-1-111-1-1−i−iii−ii−ii-1-11111-1-1−i−i−i−iiiii11-1-1i−i-11i−i1111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111-1-111-1-111ii−i−i-1-111i−iii−i−ii−i11-1-11-1−ii−ii
χ2511-1-11-11-11-11-11111-1-1-1-111-1-111-1-1-1-111ii−i−i−ii−ii11-1-111-1-1−i−i−i−iiiii11-1-1i−i-11−ii-1-1-1-11111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i-1-111−iiii−i−i−ii11-1-1-11i−i−ii
χ2611-1-11-11-11-11-11111-1-1-1-111-1-111-1-1-1-111ii−i−i−ii−ii11-1-111-1-1−i−i−i−iiiii11-1-1i−i-11−ii-1-1-1-11111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111-1-111-1-111ii−i−i11-1-1i−i−i−iiii−i-1-1111-1−iii−i
χ2711-1-11-11-11-11-11111-1-1-1-111-1-111-1-1-1-111ii−i−i−ii−ii-1-11111-1-1−i−i−i−iiiii11-1-1−ii1-1i−i-1-1-1-11111−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-111-1-111-1-1−i−iii-1-111−iiii−i−i−ii-1-1111-1−iii−i
χ2811-1-11-11-11-11-11111-1-1-1-111-1-111-1-1-1-111ii−i−i−ii−ii-1-11111-1-1−i−i−i−iiiii11-1-1−ii1-1i−i-1-1-1-11111−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-111-1-11111-1-1−i−iii11-1-1i−i−i−iiii−i11-1-1-11i−i−ii
χ2911-1-11-11-11-11-11111-1-1-1-111-1-111-1-1-1-111−i−iiii−ii−i11-1-111-1-1iiii−i−i−i−i11-1-1−ii-11i−i-1-1-1-11111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-111−i−iii-1-111i−i−i−iiii−i11-1-1-11−iii−i
χ3011-1-11-11-11-11-11111-1-1-1-111-1-111-1-1-1-111−i−iiii−ii−i11-1-111-1-1iiii−i−i−i−i11-1-1−ii-11i−i-1-1-1-11111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-111-1-111-1-111−i−iii11-1-1−iiii−i−i−ii-1-1111-1i−i−ii
χ3111-1-11-11-11-11-11111-1-1-1-111-1-111-1-1-1-111−i−iiii−ii−i-1-11111-1-1iiii−i−i−i−i11-1-1i−i1-1−ii-1-1-1-11111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-111-1-111-1-1ii−i−i-1-111i−i−i−iiii−i-1-1111-1i−i−ii
χ3211-1-11-11-11-11-11111-1-1-1-111-1-111-1-1-1-111−i−iiii−ii−i-1-11111-1-1iiii−i−i−i−i11-1-1i−i1-1−ii-1-1-1-11111ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-111-1-11111-1-1ii−i−i11-1-1−iiii−i−i−ii11-1-1-11−iii−i
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+52−1−522222222222222222−1+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+52−1−52222222−1+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+52−1−52−1−5200000000−1+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+52−1−52222222222222-2-2-2-2−1+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+52−1−52-2-2-2-2-2-2−1+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+52000000001−521+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+52−1−522222-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-222-2-2−1+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+5200000000−1+52−1−52−1+52−1−521−521+521−521+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+52−1−522222-2-2-2-2-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5222-2-222−1+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+52−1−52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−52-2-2-2-22222-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5222-2-2-2-21−521−521+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+52000000001−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−52-2-2-2-22222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-222221−521−521+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+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+52−1−52-2-2-2-2-2-2-2-222222222−1+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+52−1−52-2-2-2-2221−521−521+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+52−1−52−1−52000000001−521+521−521+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+52−1−52-2-2-2-2-2-2-2-22222-2-2-2-2−1+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+52−1−522222-2-21−521−521+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+5200000000−1+52−1−52−1+52−1−52−1+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+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+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+5200000000−1−52−1+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+52222222222222-2-2-2-2−1−52−1+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+52-2-2-2-2-2-2−1−52−1−52−1+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+521−521−52000000001+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+522222-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+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+521−521−5200000000−1−52−1+52−1−52−1+521+521−521+521−520000000000000000000000
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χ1294-4-4-444-444-4-44−1+5−1−51−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−54-4-44000000000000−1+5−1−51−51+5000000001−51+5−1+5−1−5000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-4-444-444-4-44−1+5−1−51−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−5-444-4000000000000−1+5−1−51−51+5000000001−51+5−1+5−1−50000001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000
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χ1324-4-4-444-444-4-44−1−5−1+51+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+5-444-4000000000000−1−5−1+51+51−5000000001+51−5−1−5−1+50000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000
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χ1364-4-4-444-44-444-4−1−5−1+51+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+50000-444-4000000001+51−5−1−5−1+500000000−1−5−1+51+51−50000000000000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000
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χ14088-88-8-8-880000−2−25−2+25−2−25−2+252+25−2−252−25−2+252+252−25−2−25−2+252+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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