Finite Group Databasebeta

← Group #72242869

Character table — Group #72242869

Order 2560.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109
size112222222444444558888888888888881010101010101016161616161616161616161616162020202020202020202020202020202032323232323232324040404040404040404040404040404040404040404040404040808080808080
order12222222222445102222244444101010101010102222222441010101010102020202020202244444444444444102020202020202022244444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111-111-1-1-111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-111-1-1-111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-11-1-111111111111111111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111-1-11-1-111111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ711111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ811111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1
χ9111111111111111-1-1111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1ii−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1i−ii−ii−iii−i−iiiii−i−i−i−i-1-1ii−i−i
χ10111111111111111-1-1111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1−i−iii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−ii−ii−ii−i−iii−i−i−i−iiiii-1-1−i−iii
χ11111111111111111-1-111-111-1-1-11111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11-1-1111−iii−i−ii−i−iiiiiii−i−i−i−i11−i−iii
χ12111111111111111-1-111-111-1-1-11111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11-1-1111i−i−iii−iii−i−i−i−i−i−iiiii11ii−i−i
χ13111111111111111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-111-111-1-1-1i−ii−ii−iii−i−i−i−i−i−iiiii11−i−iii
χ14111111111111111-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-111-111-1-1-1−ii−ii−ii−i−iiiiiii−i−i−i−i11ii−i−i
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1111111111111−iii−i−ii−i−iii−i−i−i−iiiii-1-1ii−i−i
χ16111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1111111111111i−i−iii−iii−i−iiiii−i−i−i−i-1-1−i−iii
χ17111111111-1-1-1-111111-111-11-1-1111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11-111-11-1-111-1-111-1-1-1-111-1-111-1-11-11-11-1
χ18111111111-1-1-1-111111-111-11-1-1111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11-111-11-1-1-1-111-1-11111-1-111-1-1111-1-11-11
χ19111111111-1-1-1-111111-1-11-1-11111111111111111-11-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111-1-11-1-111-1-1-1-1-1-1111111-1-111-1-1-11-11-11
χ20111111111-1-1-1-111111-1-11-1-11111111111111111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-1-11-1-111111111-1-1-1-1-1-111-1-111-111-11-1
χ21111111111-1-1-1-11111-111-111-1-111111111111111-11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111-111-111-1-111-1-111-1-1-1-1-1-111-1-111-11-11-11
χ22111111111-1-1-1-11111-111-111-1-111111111111111-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-111-111-1-1-1-111-1-1111111-1-111-1-1-111-11-1
χ23111111111-1-1-1-11111-11-1-11-111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-11-111-1-1-1-1-1-11111-1-111-1-1111-11-11-1
χ24111111111-1-1-1-11111-11-1-11-111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-11-1-11-111111111-1-1-1-111-1-111-1-11-1-11-11
χ25111111111-1-1-1-111-1-11-111-11-1-11111111-1-1-1-1-1-1-11-1-1-111-1-1-1-111-1-11111ii−i−iii−i−i−i−iii11-1-111-1-1-11-1-11-111i−i−iii−i−i−iiiii−i−i−i−iii-11i−i−ii
χ26111111111-1-1-1-111-1-11-111-11-1-11111111-1-1-1-1-1-1-11-1-1-111-1-1-1-111-1-11111−i−iii−i−iiiii−i−i11-1-111-1-1-11-1-11-111−iii−i−iiii−i−i−i−iiiii−i−i-11−iii−i
χ27111111111-1-1-1-111-1-11-1-11-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11111ii−i−iii−i−i−i−iii-1-111-1-111-111-111-1-1−ii−ii−iiii−i−iii−i−i−i−iii1-1−iii−i
χ28111111111-1-1-1-111-1-11-1-11-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11111−i−iii−i−iiiii−i−i-1-111-1-111-111-111-1-1i−ii−ii−i−i−iii−i−iiiii−i−i1-1i−i−ii
χ29111111111-1-1-1-111-1-1-111-111-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111ii−i−iii−i−i−i−iii11-1-1-1-1111-1-11-1-111i−i−iii−i−i−iii−i−iiiii−i−i1-1−iii−i
χ30111111111-1-1-1-111-1-1-111-111-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111−i−iii−i−iiiii−i−i11-1-1-1-1111-1-11-1-111−iii−i−iiii−i−iii−i−i−i−iii1-1i−i−ii
χ31111111111-1-1-1-111-1-1-11-1-11-1111111111-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1111111ii−i−iii−i−i−i−iii-1-11111-1-11-111-11-1-1−ii−ii−iiii−i−i−i−iiiii−i−i-11i−i−ii
χ32111111111-1-1-1-111-1-1-11-1-11-1111111111-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1111111−i−iii−i−iiiii−i−i-1-11111-1-11-111-11-1-1i−ii−ii−i−i−iiiii−i−i−i−iii-11−iii−i
χ332222-2-22-2-2000022220200-200022-2-22-2-22-2-22-2-22000000220000-2-200002-22-22-2002-200000000000200-20000000000000002-2002-2000000
χ342222-2-22-2-2000022220200-200022-2-22-2-22-2-22-2-22000000220000-2-20000-22-22-2200-2200000000000200-2000000000000000-2200-22000000
χ352222-2-22-2-2000022220-200200022-2-22-2-22-2-22-2-22000000-2-200002200002-22-22-2002-200000000000-2002000000000000000-2200-22000000
χ362222-2-22-2-2000022220-200200022-2-22-2-22-2-22-2-22000000-2-20000220000-22-22-2200-2200000000000-20020000000000000002-2002-2000000
χ372222-2-22-2-2000022-2-20200-200022-2-22-2-2-222-222-2000000220000-2-200002i−2i−2i2i2i−2i00−2i2i00000000000-20020000000000000002i−2i00−2i2i000000
χ382222-2-22-2-2000022-2-20200-200022-2-22-2-2-222-222-2000000220000-2-20000−2i2i2i−2i−2i2i002i−2i00000000000-2002000000000000000−2i2i002i−2i000000
χ392222-2-22-2-2000022-2-20-200200022-2-22-2-2-222-222-2000000-2-200002200002i−2i−2i2i2i−2i00−2i2i00000000000200-2000000000000000−2i2i002i−2i000000
χ402222-2-22-2-2000022-2-20-200200022-2-22-2-2-222-222-2000000-2-20000220000−2i2i2i−2i−2i2i002i−2i00000000000200-20000000000000002i−2i00−2i2i000000
χ41222-22-2-22-200002222200-200002-22-2-22-2-22-2-22-220000220000-2-20000002-22-2-2200-220000000000200-2000000000000002-2002-200000000
χ42222-22-2-22-200002222200-200002-22-2-22-2-22-2-22-220000220000-2-2000000-22-222-2002-20000000000200-200000000000000-2200-2200000000
χ43222-22-2-22-200002222-200200002-22-2-22-2-22-2-22-220000-2-20000220000002-22-2-2200-220000000000-200200000000000000-2200-2200000000
χ44222-22-2-22-200002222-200200002-22-2-22-2-22-2-22-220000-2-2000022000000-22-222-2002-20000000000-2002000000000000002-2002-200000000
χ45222-22-2-22-2000022-2-2200-200002-22-2-22-22-222-22-20000220000-2-20000002i−2i−2i2i−2i2i002i−2i0000000000-2002000000000000002i−2i00−2i2i00000000
χ46222-22-2-22-2000022-2-2200-200002-22-2-22-22-222-22-20000220000-2-2000000−2i2i2i−2i2i−2i00−2i2i0000000000-200200000000000000−2i2i002i−2i00000000
χ47222-22-2-22-2000022-2-2-200200002-22-2-22-22-222-22-20000-2-20000220000002i−2i−2i2i−2i2i002i−2i0000000000200-200000000000000−2i2i002i−2i00000000
χ48222-22-2-22-2000022-2-2-200200002-22-2-22-22-222-22-20000-2-2000022000000−2i2i2i−2i2i−2i00−2i2i0000000000200-2000000000000002i−2i00−2i2i00000000
χ49222-2-22-2-2222-2-22222000000002-2-22-2-22-2-22-2-22200220000-2-2000022-2-22222-2-2-2-2-2-2-2-20000000000000000002200000000000000000000
χ50222-2-22-2-2222-2-22222000000002-2-22-2-22-2-22-2-22200220000-2-2000022-2-2-2-2-2-222222222000000000000000000-2-200000000000000000000
χ51222-2-22-2-2222-2-222-2-2000000002-2-22-2-2222-222-2-200220000-2-20000-2-2222i2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000002i−2i00000000000000000000
χ52222-2-22-2-2222-2-222-2-2000000002-2-22-2-2222-222-2-200220000-2-20000-2-222−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000−2i2i00000000000000000000
χ53222-2-22-2-22-2-2222222000000002-2-22-2-22-2-22-2-22200-2-20000220000-2-2222222-2-222-2-222000000000000000000-2-200000000000000000000
χ54222-2-22-2-22-2-2222222000000002-2-22-2-22-2-22-2-22200-2-20000220000-2-222-2-2-2-222-2-222-2-20000000000000000002200000000000000000000
χ55222-2-22-2-22-2-22222-2-2000000002-2-22-2-2222-222-2-200-2-2000022000022-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000−2i2i00000000000000000000
χ56222-2-22-2-22-2-22222-2-2000000002-2-22-2-2222-222-2-200-2-2000022000022-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i00000000000000000000
χ5722-222-2-2-222-22-2222200000000-222-2-2-22-2-2-2222-2002-200002-200002-22-200000000000000000000000000002200-2-22-22-200000000000000
χ5822-222-2-2-222-22-2222200000000-222-2-2-22-2-2-2222-2002-200002-200002-22-20000000000000000000000000000-2-20022-22-2200000000000000
χ5922-222-2-2-222-22-222-2-200000000-222-2-2-22222-2-2-22002-200002-20000-22-2200000000000000000000000000002i−2i00−2i2i2i−2i−2i2i00000000000000
χ6022-222-2-2-222-22-222-2-200000000-222-2-2-22222-2-2-22002-200002-20000-22-220000000000000000000000000000−2i2i002i−2i−2i2i2i−2i00000000000000
χ6122-222-2-2-22-22-22222200000000-222-2-2-22-2-2-2222-200-220000-220000-22-2200000000000000000000000000002200-2-2-22-2200000000000000
χ6222-222-2-2-22-22-22222200000000-222-2-2-22-2-2-2222-200-220000-220000-22-220000000000000000000000000000-2-200222-22-200000000000000
χ6322-222-2-2-22-22-2222-2-200000000-222-2-2-22222-2-2-2200-220000-2200002-22-200000000000000000000000000002i−2i00−2i2i−2i2i2i−2i00000000000000
χ6422-222-2-2-22-22-2222-2-200000000-222-2-2-22222-2-2-2200-220000-2200002-22-20000000000000000000000000000−2i2i002i−2i2i−2i−2i2i00000000000000
χ6522-2-2-2-22222-2-22222200200-22-2-2-2-2-222222-2-2-22-2002-20000-2200002-2-220000000000002-22-2000000200-22-2000000000000000000000000
χ6622-2-2-2-22222-2-22222200-2002-22-2-2-2-222222-2-2-22-2002-20000-2200002-2-22000000000000-22-22000000-2002-22000000000000000000000000
χ6722-2-2-2-22222-2-2222-2-200200-22-2-2-2-2-2222-2-2222-22002-20000-220000-222-20000000000002-22-2000000-2002-22000000000000000000000000
χ6822-2-2-2-22222-2-2222-2-200-2002-22-2-2-2-2222-2-2222-22002-20000-220000-222-2000000000000-22-22000000200-22-2000000000000000000000000
χ6922-2-2-2-2222-222-2222200200-2-22-2-2-2-222222-2-2-22-200-2200002-20000-222-20000000000002-2-22000000200-2-22000000000000000000000000
χ7022-2-2-2-2222-222-2222200-20022-2-2-2-2-222222-2-2-22-200-2200002-20000-222-2000000000000-222-2000000-20022-2000000000000000000000000
χ7122-2-2-2-2222-222-222-2-200200-2-22-2-2-2-2222-2-2222-2200-2200002-200002-2-220000000000002-2-22000000-20022-2000000000000000000000000
χ7222-2-2-2-2222-222-222-2-200-20022-2-2-2-2-2222-2-2222-2200-2200002-200002-2-22000000000000-222-2000000200-2-22000000000000000000000000
χ734444444444444-1-10044444444-1-1-1-1-1-1-1000000044-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ744444444444444-1-10044-444-4-4-4-1-1-1-1-1-1-10000000-4-4-1-1-1-1-1-1-1-1-1-1-1-100000000000000001111111100000000000000000000000000000000
χ754444444444444-1-100-4-44-4-4444-1-1-1-1-1-1-10000000-4-4-1-11111-1-111110000000000000000-1-1-1-1111100000000000000000000000000000000
χ764444444444444-1-100-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1000000044-1-11111-1-1111100000000000000001111-1-1-1-100000000000000000000000000000000
χ77444444444-4-4-4-4-1-1004-444-44-4-4-1-1-1-1-1-1-100000004-411-1-11111-1-1110000000000000000-1-111-1-11100000000000000000000000000000000
χ78444444444-4-4-4-4-1-1004-4-44-4-444-1-1-1-1-1-1-10000000-4411-1-11111-1-111000000000000000011-1-111-1-100000000000000000000000000000000
χ79444444444-4-4-4-4-1-100-444-444-4-4-1-1-1-1-1-1-10000000-441111-1-11111-1-10000000000000000-1-11111-1-100000000000000000000000000000000
χ80444444444-4-4-4-4-1-100-44-4-44-444-1-1-1-1-1-1-100000004-41111-1-11111-1-1000000000000000011-1-1-1-11100000000000000000000000000000000
χ8144-44-44-44-40000444400000000-44-44-44-4-4444-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ8244-44-44-44-4000044-4-400000000-44-44-44-44-4-4-44440000000000000000000000000000000000000000000000000000000000000000000000
χ8344-4-4444-4-40000444400000000-4-4444-4-44-44-44-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ8444-4-4444-4-4000044-4-400000000-4-4444-4-4-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-4-44444-4-44-1-10000400-44-41111-1-1-1000000000-115−55−51-15−55−50000000000000000-11-115−55−500000000000000000000000000000000
χ8644-4-4-4-44444-4-44-1-10000400-44-41111-1-1-1000000000-11−55−551-1−55−550000000000000000-11-11−55−5500000000000000000000000000000000
χ8744-4-4-4-44444-4-44-1-10000-4004-441111-1-1-1000000000-115−55−51-15−55−500000000000000001-11-1−55−5500000000000000000000000000000000
χ8844-4-4-4-44444-4-44-1-10000-4004-441111-1-1-1000000000-11−55−551-1−55−5500000000000000001-11-15−55−500000000000000000000000000000000
χ8944-4-4-4-4444-444-4-1-10000400-4-441111-1-1-10000000001-15−5−55-115−5−550000000000000000-111-15−5−5500000000000000000000000000000000
χ9044-4-4-4-4444-444-4-1-10000400-4-441111-1-1-10000000001-1−555−5-11−555−50000000000000000-111-1−555−500000000000000000000000000000000
χ9144-4-4-4-4444-444-4-1-10000-40044-41111-1-1-10000000001-15−5−55-115−5−5500000000000000001-1-11−555−500000000000000000000000000000000
χ9244-4-4-4-4444-444-4-1-10000-40044-41111-1-1-10000000001-1−555−5-11−555−500000000000000001-1-115−5−5500000000000000000000000000000000
χ938888-8-88-8-80000-2-2000800-8000-2-222-2220000000000000-2-200002200000000000000000000000000000000000000000000000000000000
χ948888-8-88-8-80000-2-2000-8008000-2-222-2220000000000000220000-2-200000000000000000000000000000000000000000000000000000000
χ95888-88-8-88-80000-2-200800-80000-22-222-2200000000000-2-20000220000000000000000000000000000000000000000000000000000000000
χ96888-88-8-88-80000-2-200-80080000-22-222-2200000000000220000-2-20000000000000000000000000000000000000000000000000000000000
χ97888-8-88-8-8888-8-8-2-20000000000-222-222-2000000000-2-2000022000000000000000000000000000000000000000000000000000000000000
χ98888-8-88-8-88-8-888-2-20000000000-222-222-2000000000220000-2-2000000000000000000000000000000000000000000000000000000000000
χ9988-888-8-8-888-88-8-2-200000000002-2-2222-2000000000-220000-22000000000000000000000000000000000000000000000000000000000000
χ10088-888-8-8-88-88-88-2-200000000002-2-2222-20000000002-200002-2000000000000000000000000000000000000000000000000000000000000
χ10188-88-88-88-80000-2-200000000002-22-22-220000000000025−250000−25250000000000000000000000000000000000000000000000000000000000
χ10288-88-88-88-80000-2-200000000002-22-22-2200000000000−2525000025−250000000000000000000000000000000000000000000000000000000000
χ10388-8-8888-8-80000-2-2000000000022-2-2-222000000000000025−250000−252500000000000000000000000000000000000000000000000000000000
χ10488-8-8888-8-80000-2-2000000000022-2-2-2220000000000000−2525000025−2500000000000000000000000000000000000000000000000000000000
χ1058-8000000000008-88-800000000000000000000000000000000000000000000004i−4i004i−4i0000000000000000000000000000000000000000
χ1068-8000000000008-88-80000000000000000000000000000000000000000000000−4i4i00−4i4i0000000000000000000000000000000000000000
χ1078-8000000000008-8-8800000000000000000000000000000000000000000000004-400-440000000000000000000000000000000000000000
χ1088-8000000000008-8-880000000000000000000000000000000000000000000000-44004-40000000000000000000000000000000000000000
χ10932-3200000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).