Finite Group Databasebeta

← Group #12306823

Character table — Group #12306823

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222222222222244444444444488888888888888888888888888888888888816161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222222244445510101010101010101010101010102244202020202020202022244444444410101010202020202020202020202020202020202020202010101010101020202020202020202020224444444444444422244444
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
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-111
χ51111111111111111111111111111111111111111-1-11-1-11-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-111
χ61111111111111111111111111111111111111111-1-11-1-11-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1
χ71111111111111111111111111111111111111111-1-1-111-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-111-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111111111111111-1-1-1-1111111111-1111-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-111-1
χ101111111111111111111111111111-1-1-1-1111111111-1111-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1111-1-11
χ111111111111111111111111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-11-11
χ121111111111111111111111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-11-111-11-1
χ131111111111111111111111111111-1-1-1-111111111-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-11-111-11-1
χ141111111111111111111111111111-1-1-1-111111111-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111-11-1-11-11
χ151111111111111111111111111111-1-1-1-111111111-11-1111-1-11-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1111-1-11
χ161111111111111111111111111111-1-1-1-111111111-11-1111-1-11-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-111-1
χ1711111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-11-11-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-11-11-11-11
χ1811111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-11-11-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111111-11-11-11-1
χ1911111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-111-111-1
χ2011111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-11-1-11
χ2111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-11-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-11-1-11
χ2211111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-11-1-1111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-111-1
χ2311111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-111-1-1-1-1-1-11-11-11-11-1
χ2411111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111111-11-11-11-11
χ2511111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-111-111-1-1
χ2611111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11-1-11-1-111
χ2711111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-111-1-11-11-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ2811111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-111-1-11-11-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ2911111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ3011111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ3111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1111-1-11-1-111
χ3211111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1-111-111-1-1
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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-2-2-2-222-2−1+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+52−1−521−521+521−521+52000000000000000000000000
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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-22-2-22-2-22−1+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+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-222-222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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
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+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2222-2-2-2-22-221−521−521+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+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000000000
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+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-222222-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000000000
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+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-2-2-222-2-2221−521−521+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+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000000
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+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2222-2-22-22-21−521−521+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+521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000000
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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+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
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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2-2-2-2-2-222-2−1−52−1−52−1+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+521+521−521+521−52000000000000000000000000
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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22-2-22-2-22-2-22−1−52−1−52−1+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+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-222-222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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
χ45222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2222-2-2-2-22-221+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+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000000000
χ46222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2-2-222222-2-21+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+521−521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000000000000
χ47222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-2-2-222-2-2221+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+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000000000000
χ48222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2222-2-22-22-21+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+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000000000
χ4922222222-2-2-2-2−1+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+52−1−52−1−5222-2-21−521−521−521−521+521+521+521+522-222-2-22-22-22-2−1+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+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000000
χ5022222222-2-2-2-2−1+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+52−1−52−1−5222-2-21−521−521−521−521+521+521+521+522-2-2-222-22-2-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000000
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χ1024-4-44-4-44444-4-4−1−5−1+5−1−51+51+51+51+5−1+51−51−51−51−5−1−5−1−5−1+5−1+5-44-44−1−5−1−51+51+5−1+5−1+51−51−50000000000001+5−1−51−5−1+500000000000000001+5−1−51−5−1+50000000000000000000000000000000000000000
χ1034-4-44-4-444-4-444−1+5−1−5−1+51−51−51−51−5−1−51+51+51+51+5−1+5−1+5−1−5−1−54-4-441−51−5−1+5−1+51+51+5−1−5−1−5000000000000−1+51−5−1−51+500000000000000001−5−1+51+5−1−50000000000000000000000000000000000000000
χ1044-4-44-4-444-4-444−1+5−1−5−1+51−51−51−51−5−1−51+51+51+51+5−1+5−1+5−1−5−1−5-444-41−51−5−1+5−1+51+51+5−1−5−1−50000000000001−5−1+51+5−1−50000000000000000−1+51−5−1−51+50000000000000000000000000000000000000000
χ1054-4-44-4-444-4-444−1−5−1+5−1−51+51+51+51+5−1+51−51−51−51−5−1−5−1−5−1+5−1+54-4-441+51+5−1−5−1−51−51−5−1+5−1+5000000000000−1−51+5−1+51−500000000000000001+5−1−51−5−1+50000000000000000000000000000000000000000
χ1064-4-44-4-444-4-444−1−5−1+5−1−51+51+51+51+5−1+51−51−51−51−5−1−5−1−5−1+5−1+5-444-41+51+5−1−5−1−51−51−5−1+5−1+50000000000001+5−1−51−5−1+50000000000000000−1−51+5−1+51−50000000000000000000000000000000000000000
χ1074-4-4-4444-4000044-4-4-444-4-4-4444-44-4000000000000000000000000000000000000000000000000000000000000000000000000004-4000000000000
χ1084-4-4-4444-4000044-4-4-444-4-4-4444-44-400000000000000000000000000000000000000000000000000000000000000000000000000-44000000000000
χ109888-8-8-88-80000−2+25−2−252−25−2+25−2+252−252−252+25−2−25−2−252+252+25−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ110888-8-8-88-80000−2−25−2+252+25−2−25−2−252+252+252−25−2+25−2+252−252−25−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-88-880000−2+25−2−252−25−2+252−252−25−2+252+25−2−252+252+25−2−252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-880000−2−25−2+252+25−2−252+252+25−2−252−25−2+252−252−25−2+252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-8-880000−2+25−2−252−252−25−2+25−2+252−252+252+25−2−25−2−252+252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-88-8-880000−2−25−2+252+252+25−2−25−2−252+252−252−25−2+25−2+252−252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8-8888-80000−2+25−2−252−252−252−25−2+25−2+252+252+252+25−2−25−2−25−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8-8888-80000−2−25−2+252+252+252+25−2−25−2−252−252−252−25−2+25−2+25−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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