Finite Group Databasebeta

← Group #12989708

Character table — Group #12989708

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size1111222222222244444444444488888888888888888888888888888881010161616161616161616161616161616161616161620202020202020202020202020404040404040404040
order1222445510101010101024444488202020204444444488810102020202020202020202040404040404040404420202020202020202020202020202020404040404444444444488444444888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1111
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111111-1-1-1
χ511111111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1111-11-1-1-1-1
χ611111111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-11111
χ711111111111111111111-1-11111-1-1-11-1111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111111111111-1-1-1-1-11-11-1-1-1
χ811111111111111111111-1-11111-1-1-11-1111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111
χ91111111111111111-1-1-1-111111111-11-11-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-11-1-1-1-1-1-111-1-11111-11-111-1-1
χ101111111111111111-1-1-1-111111111-11-11-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1111111-1-111-1-1-1-11-11-1-111
χ111111111111111111-1-1-1-1111111-1-11-11-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-11-1-1111111-1-111-1-11-11-11-1-1
χ121111111111111111-1-1-1-1111111-1-11-11-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-111-1-1-1-1-1-111-1-111-11-11-111
χ131111111111111111-1-1-1-1-1-1111111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111-1-1111111-1-1-1-111-1-1-1-1-111
χ141111111111111111-1-1-1-1-1-1111111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-11111-1-111111-1-1
χ151111111111111111-1-1-1-1-1-11111-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111-111
χ161111111111111111-1-1-1-1-1-11111-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1111111-1-1111111-1-1-1-11-1-1
χ1711111111111111-1-11-11-11111111-111-1-11-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-11-111-1-11-11-1111-1-111-1-11-1
χ1811111111111111-1-11-11-11111111-111-1-11-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111-11-1-111-11-11-1-1-111-1-111-11
χ1911111111111111-1-11-11-1111111-11-1-111-11-11-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-11-1-1-1111-11-111-111-1-11-11-1
χ2011111111111111-1-11-11-1111111-11-1-111-11-11-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111-1111-1-1-11-11-1-11-1-111-11-11
χ2111111111111111-1-11-11-1-1-111111-11-1-11-111-11-1-1-1-111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-1-11-1-1-1111-11-1-1-11-1-1-1111-11
χ2211111111111111-1-11-11-1-1-111111-11-1-11-111-11-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-11-1111-1-1-11-1111-1111-1-1-11-1
χ2311111111111111-1-11-11-1-1-11111-11-111-11-11-11-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-1-11-111-1-11-11-1-1-1-1111-1-11-11
χ2411111111111111-1-11-11-1-1-11111-11-111-11-11-11-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-11-11-1-111-11-11111-1-1-111-11-1
χ2511111111111111-1-1-11-111111111-1-111-1-11-1-11-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1111-1-11111-111-1-1-1-11
χ2611111111111111-1-1-11-111111111-1-111-1-11-1-11-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-111-1-1-111-1-1-1-11-1-11111-1
χ2711111111111111-1-1-11-11111111-111-1-111-1-1-11-1-1-1-1-1-111-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1111-11-1-111-1-11
χ2811111111111111-1-1-11-11111111-111-1-111-1-1-11-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-111-111-1-1-11-111-1-111-1
χ2911111111111111-1-1-11-11-1-111111-1-1-1111-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1111-1-11-1-11-1-11-11-1-1111-1
χ3011111111111111-1-1-11-11-1-111111-1-1-1111-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1-111-111-111-11-111-1-1-11
χ3111111111111111-1-1-11-11-1-11111-1111-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-11-1-1111-1-11-1-1-11-111-111-1
χ3211111111111111-1-1-11-11-1-11111-1111-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-111-1-1-111-1111-11-1-11-1-11
χ33222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−5222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
χ34222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
χ35222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222-2-2−1+52−1+52−1−52−1−52222-22-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+521−521+521−521+520000000000000000000000
χ36222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222-2-2−1+52−1+52−1−52−1−52-2-2-22-2222-2-2-2−1+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+52001−521+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+520000000000000000000000
χ37222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-222−1+52−1+52−1−52−1−5222-22-22-2-22-2-2−1+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+5200−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+520000000000000000000000
χ38222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-222−1+52−1+52−1−52−1−52-2-22-22-2222-2-2−1+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+52001−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+520000000000000000000000
χ39222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2−1+52−1+52−1−52−1−5222-2-2-2-222-222−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−520000000000000000000000
χ40222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2−1+52−1+52−1−52−1−52-2-22222-2-2-222−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52001−521+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+52−1−520000000000000000000000
χ41222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-22-222−1+52−1+52−1−52−1−522-222-2-22-2-22-21−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−520000000000000000000000
χ42222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-22-222−1+52−1+52−1−52−1−52-22-2-222-22-22-21−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52001−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−520000000000000000000000
χ43222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-22-2-2-2−1+52−1+52−1−52−1−522-22-2-22-222-221−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+520000000000000000000000
χ44222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-22-2-2-2−1+52−1+52−1−52−1−52-22-222-22-22-221−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000000000
χ45222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22-2222−1+52−1+52−1−52−1−522-2-222-2-22-2-221−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+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+520000000000000000000000
χ46222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22-2222−1+52−1+52−1−52−1−52-222-2-222-2-2-221−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+520000000000000000000000
χ47222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22-22-2-2−1+52−1+52−1−52−1−522-2-2-2222-222-21−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−520000000000000000000000
χ48222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22-22-2-2−1+52−1+52−1−52−1−52-2222-2-2-2222-21−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+521−521−521+521+52001−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
χ49222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+5222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ50222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000000000
χ51222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222-2-2−1−52−1−52−1+52−1+52222-22-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−521+521−521+521−521+521−520000000000000000000000
χ52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222-2-2−1−52−1−52−1+52−1+52-2-2-22-2222-2-2-2−1−52−1+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+521−521−52001+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+521−520000000000000000000000
χ53222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-222−1−52−1−52−1+52−1+5222-22-22-2-22-2-2−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−520000000000000000000000
χ54222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-222−1−52−1−52−1+52−1+52-2-22-22-2222-2-2−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52001+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−520000000000000000000000
χ55222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2−1−52−1−52−1+52−1+5222-2-2-2-222-222−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+520000000000000000000000
χ56222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2−1−52−1−52−1+52−1+52-2-22222-2-2-222−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52001+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+520000000000000000000000
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χ1018-8-8800−2−25−2+252+252+252−252−25−2−25−2+250000000000000000000000000000000000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ3700000000000000000000000000000000000000000000

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