Finite Group Databasebeta

← Group #12131337

Character table — Group #12131337

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222222222222444444444444444444444488888888888888888888888888881616161616161616161616161616161616162020202020202020202020204040404040408080
order1222224444444455101010101010221010101020202020202020202020202020202020222444441010101010101010101010102020202020202020881010202020202020404040404040404044444444444424444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111-111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111111111111111111111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ611111111111111111111111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1
χ9111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1
χ10111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11
χ11111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-11
χ12111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-1
χ13111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-11
χ14111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1
χ15111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1
χ16111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11
χ1722222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1+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
χ1822222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222-222-2-2-2−1+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+52−1−52−1−52−1−52−1−52-2-21−521+521−521−521+521+521−521+521−521−521+521+521−521−521+521+5200000000000000000000
χ1922222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-22-2-2222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ2022222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ2122222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ2222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222-222-2-2-2−1−52−1−52−1+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+52-2-21+521−521+521+521−521−521+521−521+521+521−521−521+521+521−521−5200000000000000000000
χ2322222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-22-2-2222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ2422222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ252222222222-2-2-2-222222222-2-22222-2-2-2-222222222-2-2-2-200000000-2-2-2-2000000000000000000000000000000000022-2-200000000002-20000
χ262222222222-2-2-2-222222222-2-22222-2-2-2-222222222-2-2-2-200000000-2-2-2-20000000000000000000000000000000000-2-2220000000000-220000
χ27222222-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+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+52−1−52−1−52222-2-22-2-21−521−521+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+522-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ28222222-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+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+52−1−52−1−5222-2-2-2-2221−521−521+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+52-221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ29222222-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+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+52−1−52−1−52-2-22222-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ30222222-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+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+52−1−52−1−52-2-2-222-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ31222222-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+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+52222-2-22-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ32222222-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+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+5222-2-2-2-2221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ33222222-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+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+52-2-22222-2-21+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+52-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ34222222-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+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+52-2-2-222-2221+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+522-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ35222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000000000000000000000000022-2-20000000000-220000
χ36222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000000000000000000000-2-22200000000002-20000
χ372222-2-222-2-222-2-2222222222-2-2-2-2-2-2-2-2-222-2-222-2-2222200200-22-22-22-2000000000000000000222-22-2-2-20000000000000000000000000000
χ382222-2-222-2-222-2-2222222222-2-2-2-2-2-2-2-2-222-2-222-2-2222200-2002-222-22-2000000000000000000-2-2-22-22220000000000000000000000000000
χ392222-2-222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200200-22-2−1+521−52−1−521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800−1+52−1−52−1+521−52−1−521+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000
χ402222-2-222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200200-22-2−1+521−52−1−521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800−1+52−1−52−1+521−52−1−521+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000
χ412222-2-222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200-2002-22−1+521−52−1−521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18001−521+521−52−1+521+52−1−52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000
χ422222-2-222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200-2002-22−1+521−52−1−521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18001−521+521−52−1+521+52−1−52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000
χ432222-2-222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521+521−521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5200200-22-2−1−521+52−1+521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1−52−1+52−1−521+52−1+521−521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000000000
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χ1088-8-88008i−8i000000−2−25−2+252+25−2−252−25−2+252+252−250000000000−4ζ3−4ζ74ζ3+4ζ700−4ζ11−4ζ194ζ11+4ζ19000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-8800−8i8i000000−2+25−2−252−25−2+252+25−2−252−252+2500000000004ζ11+4ζ19−4ζ11−4ζ19004ζ3+4ζ7−4ζ3−4ζ7000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-8800−8i8i000000−2−25−2+252+25−2−252−25−2+252+252−2500000000004ζ3+4ζ7−4ζ3−4ζ7004ζ11+4ζ19−4ζ11−4ζ19000000000000000000000000000000000000000000000000000000000000000000000000

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