Finite Group Databasebeta

← Group #12975583

Character table — Group #12975583

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size112222222222222222244444444444444444444444444488888888888888888888888888888816161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222244445588101010101010888888810101010202020202020202040404040404040402244444444202020202020202040404040404040404040404010101010202020202020202020202020222222224444444488888888
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
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1
χ911111111111-1-1111111-1-1-11111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-1
χ1011111111111-1-1111111-1-1-11111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ1111111111111-1-1111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111
χ1211111111111-1-1111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1111111-1-1111111-1-111-1-1-1-1
χ1311111111111-1-1111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111
χ1411111111111-1-1111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-1
χ1511111111111-1-1111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ1611111111111-1-1111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1711-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-11-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-11-11-11-11-11-11-11-11-11-11-1
χ1811-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-11-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-11-11-11-11-11-11-11-11-11-11-11-11
χ1911-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-11-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1-11-111-11-1-11-111-11-1-11-11
χ2011-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-11-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11-111-11-1-11-111-11-1-11-111-11-1
χ2111-1-11-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-11-11-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-11-11-1-111-11-11-1-11-11-111-1-11
χ2211-1-11-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-11-11-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-11-11-111-1-11-11-111-11-11-1-111-1
χ2311-1-11-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1111-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-1-111-11-11-1-111-1-11-11-111-1
χ2411-1-11-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1111-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-111-1-11-11-111-1-111-11-11-1-11
χ2511-1-11-1-11111-1-1111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11-11-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-11-11-1-111-11-11-1-11-11-11
χ2611-1-11-1-11111-1-1111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11-11-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-11-11-111-1-11-11-111-11-11-1
χ2711-1-11-1-11111-1-1111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11-11-111-1-11-11-111-1-111-11-1
χ2811-1-11-1-11111-1-1111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-11-11-1-111-11-11-1-111-1-11-11
χ2911-1-11-1-11111-1-1111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-111-11-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-111-1-111-1-111-1-11-111-1-111-1
χ3011-1-11-1-11111-1-1111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-111-11-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-111-1-111-1-111-1-111-11-1-111-1-11
χ3111-1-11-1-11111-1-1111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-111-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1111-1-11-111-11-1-11-111-1-111-11-1-11
χ3211-1-11-1-11111-1-1111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-111-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-111-11-1-11-111-11-1-111-1-11-111-1
χ33222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52000000000000000000000000
χ34222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52000000000000000000000000
χ35222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−522222-2-2-2-2-2-21−521−521+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+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ36222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52-2-2-2-22222-2-21−521−521+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ37222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-222-2-2-2-21−521−521+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+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ38222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-22-2-222-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ39222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-2-2-22222−1+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+52−1−521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ40222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-2222-2-222−1+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+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ41222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52000000000000000000000000
χ42222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+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+521−52000000000000000000000000
χ43222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2−1−52−1−52−1+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+522222-2-2-2-2-2-21+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+521+521−521+521−521+521−521+521−52000000000000000000000000
χ44222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2−1−52−1−52−1+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+52-2-2-2-22222-2-21+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+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ45222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-22-222-2-2-2-21+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+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ46222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-22-2-222-2-21+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+521+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ47222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-22-2-2-22222−1−52−1−52−1+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+521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ48222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-2222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ49222-2-22-22-22200-2-2-2-2220002-22-22-22-22-22-22-22-20000000000000000000000000000002-22-22-22-200000000000000000000222-20000-2-2-2200000000
χ50222-2-22-22-22200-2-2-2-2220002-22-22-22-22-22-22-22-20000000000000000000000000000002-22-22-22-200000000000000000000-2-2-220000222-200000000
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χ1118-80000000−2+25−2−25−42424ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+2500000000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ390000000000000000000000000000000000000000000000000000000000000000000000
χ1128-80000000−2+25−2−25−4242−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+2500000000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ390000000000000000000000000000000000000000000000000000000000000000000000
χ1138-80000000−2−25−2+2542−42−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−2500000000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000000000000000000000000000000000000000000
χ1148-80000000−2−25−2+2542−424ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−2500000000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000000000000000000000000000000000000000000
χ1158-80000000−2−25−2+25−4242−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−250000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000000000000000000000000000000000000000000
χ1168-80000000−2−25−2+25−42424ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−250000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000000000000000000000000000000000000000000

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