Finite Group Databasebeta

← Group #12975590

Character table — Group #12975590

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11222222222222222444444444444444444444488888888888888888888888888888888888888888161616161616161616161616202020202020202020202020202020204040404040404040
order1222244445510102020202022224444441010101010102020202020202244488881010101010101010101010102020202020202020202020202020202020202020101020204040404040404040222244448888888822448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11111111111111-11-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ41111111111111111111111111-1-11111111111111-11-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111
χ51111111111111111111-1-111-1-111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111
χ61111111111111111111-1-111-1-111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111-1-111-1-1-1-1111111111111-11-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1
χ81111111111111111111-1-111-1-1-1-1111111111111-11-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ911111111111111111-1-111-1-11111111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ1011111111111111111-1-111-1-11111111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-111-1-1
χ1111111111111111111-1-111-1-111-1-1111111111111-11-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1
χ1211111111111111111-1-111-1-111-1-1111111111111-11-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ1311111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1411111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-111-1-1-1-111
χ1711-1-11-1-1111111-1-1-1-11-11-11-11-111-1-1-1-111-1-111111-1-11-11-11-111-1-111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-11-11-11-111-1-111-1-11-11-11-11-1
χ1811-1-11-1-1111111-1-1-1-11-11-11-11-111-1-1-1-111-1-111111-1-11-11-11-111-1-111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-11-11-11-11-1-111-1-111-11-11-11-11
χ1911-1-11-1-1111111-1-1-1-11-11-11-11-1-1-1-1-1-1-111-1-1111111-1-11-11-1111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-111-1-1111-1-1-1-1111-1-111-1-11
χ2011-1-11-1-1111111-1-1-1-11-11-11-11-1-1-1-1-1-1-111-1-1111111-1-11-11-1111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-111-1-111-1-1-11111-1-1-111-1-111-1
χ2111-1-11-1-1111111-1-1-1-11-1-111-1-1111-1-1-1-111-1-11111-111-1-11-1-1111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1111-1-111-1-1111-1-111-1-1-11-11-111-1
χ2211-1-11-1-1111111-1-1-1-11-1-111-1-1111-1-1-1-111-1-11111-111-1-11-1-1111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111-111-1-111-1-1-111-1-1111-11-11-1-11
χ2311-1-11-1-1111111-1-1-1-11-1-111-1-11-1-1-1-1-1-111-1-11111-1-1111-111-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-11-11-11-11-111-1-1-1-111-111-1-11-11
χ2411-1-11-1-1111111-1-1-1-11-1-111-1-11-1-1-1-1-1-111-1-11111-1-1111-111-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-1-11-11-11-11-1-11111-1-11-1-111-11-1
χ2511-1-11-1-1111111-1-1-1-1-111-1-111-111-1-1-1-111-1-11111-111-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-11111-1-11-1-111-1-11-1-111-1-1111-11-1-111-1
χ2611-1-11-1-1111111-1-1-1-1-111-1-111-111-1-1-1-111-1-11111-111-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-11111-1-1-111-1-111-111-1-111-1-1-11-111-1-11
χ2711-1-11-1-1111111-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-11111-1-11111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1111-11-11-11-1-1-11111-1-11-1-11-11-11
χ2811-1-11-1-1111111-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-11111-1-11111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-111-11-11-11-1111-1-1-1-111-111-11-11-1
χ2911-1-11-1-1111111-1-1-1-1-11-11-11-1111-1-1-1-111-1-111111-1-11-1-11-11-1-111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-11-11-11-1-1-111-1-111-11-111-11-1
χ3011-1-11-1-1111111-1-1-1-1-11-11-11-1111-1-1-1-111-1-111111-1-11-1-11-11-1-111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-11-11-1111-1-111-1-11-11-1-11-11
χ3111-1-11-1-1111111-1-1-1-1-11-11-11-11-1-1-1-1-1-111-1-1111111-1-111-11-1-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-111-1-11-1-11111-1-1-111-11-1-11
χ3211-1-11-1-1111111-1-1-1-1-11-11-11-11-1-1-1-1-1-111-1-1111111-1-111-11-1-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-111-1-111-111-1-1-1-1111-1-11-111-1
χ33222222222−1+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+52−1−52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ34222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2-2-2-2−1+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+52−1−52−1+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+52000000000000000000000000
χ35222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222-2-2−1+52−1−52−1+52−1−521−521+521−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+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+52−1−521−521+521−521+52000000000000000000000000
χ36222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2-2-222−1+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+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ37222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22-2-2221−521+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+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+52−1−52000000000000000000000000
χ38222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-22-222-2-21−521+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ39222222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222-2-2-2-21−521+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+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ40222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-222221−521+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ41222222222−1−52−1+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+52222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ42222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2-2-2-2−1−52−1+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+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+521−52000000000000000000000000
χ43222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222-2-2−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−52−1−52−1+52−1−52−1+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+521+521−521+521−52000000000000000000000000
χ44222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2-2-222−1−52−1+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+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ45222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22-2-2221+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+521−521−52−1−52−1−52−1+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+52000000000000000000000000
χ46222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-22-222-2-21+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+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ47222222222−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222-2-2-2-21+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+521+521−521+521−521+521−521+521−52000000000000000000000000
χ48222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-222221+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+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ49222-2-22-22-222222222002-200-22002-22-2-2-2-2-22-22-2000000000000022-2-200000000-2-222000000000000000000000000002200-2-200002-22-200000000
χ50222-2-22-22-222222222002-200-22002-22-2-2-2-2-22-22-2000000000000022-2-200000000-2-22200000000000000000000000000-2-200220000-22-2200000000
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χ1128-80000000−2+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ700000000−4i4i0000000000000000000000000000000000000000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000000000000000000
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χ1148-80000000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ1900000000−4i4i0000000000000000000000000000000000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000
χ1158-80000000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19000000004i−4i000000000000000000000000000000000000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000
χ1168-80000000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ1900000000−4i4i0000000000000000000000000000000000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.