Finite Group Databasebeta

← Group #12101972

Character table — Group #12101972

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444888888881010101010101010161616161616161616161616161616162020202020202020202020204040404040404040
order1222222244445588888888101010101010101010101010101044448888202020202020202020202020202020202020202020202020404040404040404040404040404040404040404040404040404040404040404044444444222244442020202020202020202020202020202044448888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ911111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ1011111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ1111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ1211111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711-1-11-11-11-11-111iiii−i−i−i−i11-1-1-1-111-1-111-1-1i−ii−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11-1i−ii−i1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-1i−ii−iii−i−i11-1-11-1i−ii−i1-1
χ1811-1-11-11-11-11-111iiii−i−i−i−i11-1-1-1-111-1-111-1-1i−ii−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11-1i−ii−i1-1-1-111-1-11111-1-1ii−i−iii−i−i11-1-1−ii−ii−i−iii-1-111-11−ii−ii-11
χ1911-1-11-11-11-11-111iiii−i−i−i−i11-1-1-1-111-1-111-1-1i−ii−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-11−ii−ii-1111-1-111-1-1-1-111−i−iii−i−iii-1-111i−ii−iii−i−i11-1-1-11−ii−ii-11
χ2011-1-11-11-11-11-111iiii−i−i−i−i11-1-1-1-111-1-111-1-1i−ii−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-11−ii−ii-11-1-111-1-111-1-111−i−iii−i−iii-1-111−ii−ii−i−iii-1-1111-1i−ii−i1-1
χ2111-1-11-11-11-11-111iiii−i−i−i−i11-1-1-1-111-1-111-1-1−ii−ii-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111111-1i−i−ii-1111-1-111-1-111-1-1ii−i−i−i−iii-1-111−ii−iiii−i−i-1-1111-1i−i−ii-11
χ2211-1-11-11-11-11-111iiii−i−i−i−i11-1-1-1-111-1-111-1-1−ii−ii-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111111-1i−i−ii-11-1-111-1-11111-1-1ii−i−i−i−iii-1-111i−ii−i−i−iii11-1-1-11−iii−i1-1
χ2311-1-11-11-11-11-111iiii−i−i−i−i11-1-1-1-111-1-111-1-1−ii−ii-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-11−iii−i1-111-1-111-1-1-1-111−i−iiiii−i−i11-1-1−ii−iiii−i−i-1-111-11−iii−i1-1
χ2411-1-11-11-11-11-111iiii−i−i−i−i11-1-1-1-111-1-111-1-1−ii−ii-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-11−iii−i1-1-1-111-1-111-1-111−i−iiiii−i−i11-1-1i−ii−i−i−iii11-1-11-1i−i−ii-11
χ2511-1-11-11-11-11-111−i−i−i−iiiii11-1-1-1-111-1-111-1-1i−ii−i-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111111-1−iii−i-1111-1-111-1-111-1-1−i−iiiii−i−i-1-111i−ii−i−i−iii-1-1111-1−iii−i-11
χ2611-1-11-11-11-11-111−i−i−i−iiiii11-1-1-1-111-1-111-1-1i−ii−i-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111111-1−iii−i-11-1-111-1-11111-1-1−i−iiiii−i−i-1-111−ii−iiii−i−i11-1-1-11i−i−ii1-1
χ2711-1-11-11-11-11-111−i−i−i−iiiii11-1-1-1-111-1-111-1-1i−ii−i-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-11i−i−ii1-111-1-111-1-1-1-111ii−i−i−i−iii11-1-1i−ii−i−i−iii-1-111-11i−i−ii1-1
χ2811-1-11-11-11-11-111−i−i−i−iiiii11-1-1-1-111-1-111-1-1i−ii−i-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-11i−i−ii1-1-1-111-1-111-1-111ii−i−i−i−iii11-1-1−ii−iiii−i−i11-1-11-1−iii−i-11
χ2911-1-11-11-11-11-111−i−i−i−iiiii11-1-1-1-111-1-111-1-1−ii−ii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11-1−ii−ii1-111-1-111-1-111-1-1−i−iii−i−iii11-1-1−ii−ii−i−iii11-1-11-1−ii−ii1-1
χ3011-1-11-11-11-11-111−i−i−i−iiiii11-1-1-1-111-1-111-1-1−ii−ii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11-1−ii−ii1-1-1-111-1-11111-1-1−i−iii−i−iii11-1-1i−ii−iii−i−i-1-111-11i−ii−i-11
χ3111-1-11-11-11-11-111−i−i−i−iiiii11-1-1-1-111-1-111-1-1−ii−ii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-11i−ii−i-1111-1-111-1-1-1-111ii−i−iii−i−i-1-111−ii−ii−i−iii11-1-1-11i−ii−i-11
χ3211-1-11-11-11-11-111−i−i−i−iiiii11-1-1-1-111-1-111-1-1−ii−ii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-11i−ii−i-11-1-111-1-111-1-111ii−i−iii−i−i-1-111i−ii−iii−i−i-1-1111-1−ii−ii1-1
χ33222222222222−1+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+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222200000000−1+52−1−52−1+52−1−52−1+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+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ35222222222222−1+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+52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+522222-2-2-2-200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ36222222222222−1+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+52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+52-2-2-2-22222000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ37222222222222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2−1+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+52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+5222-2-222-2-200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ38222222222222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2−1+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+52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+52-2-222-2-222000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ39222222222222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222221−521−521+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+52−1−521−521−521−521−521+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+52−1−52−1−52−1−52−1−5222-2-2-2-22200000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ40222222222222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222221−521−521+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+52−1−521−521−521−521−521+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+52−1−52−1−52−1−52−1−52-2-22222-2-2000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
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χ1474-4-44-4-44444-4-4−1−5−1+5000000001+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+500004i−4i−4i4i00000000−1−5−1+5−1−5−1+5000000001+51−51+51−50000000000000000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000000000
χ1484-4-44-4-44444-4-4−1−5−1+5000000001+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+50000−4i4i4i−4i00000000−1−5−1+5−1−5−1+5000000001+51−51+51−500000000000000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000000000
χ1494-4-44-4-444-4-444−1+5−1−544-4-4-4-4441−51+51−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−500000000000000001−51+51−51+500000000−1+5−1−5−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000000000000000000000000000000000
χ1504-4-44-4-444-4-444−1+5−1−5-4-44444-4-41−51+51−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−500000000000000001−51+51−51+500000000−1+5−1−5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000000000000000000000000000000000
χ1514-4-44-4-444-4-444−1−5−1+544-4-4-4-4441+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+500000000000000001+51−51+51−500000000−1−5−1+5−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000000000000000000000000000000000
χ1524-4-44-4-444-4-444−1−5−1+5-4-44444-4-41+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+500000000000000001+51−51+51−500000000−1−5−1+5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000000000000000000000000000

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