Finite Group Databasebeta

← Group #72269855

Character table — Group #72269855

Order 2560.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size112222222444444558888888888888881010101010101016161616161620202020202020202020202020202020202032323232323232323232323240404040404040404040404040404040404040404040404040808080808080
order12222222222510101022222444444101010101010222222244101010102244444444444444441010202020202020202020202224444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111-11-111-1-11111111111111-1-111111111111111111111111-1-1-11-111-1-1-1-111-11-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-11-111-1-11111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-1-1-111-11-111-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-11-11-1-1-1-111111111111111-111111111111111-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1
χ6111111111111111111-11-11-1-1-1-111111111111111-1111111-1-1-1-1-1-1-1-111111111-11-1-1-11-1-111-1-11-11-11-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111
χ7111111111111111111-1-1-1-1-1-1111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-111
χ8111111111111111111-1-1-1-1-1-1111111111111111-11111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1
χ9111111111111111-1-1111111111111111-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−iiiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-1i−ii−i
χ10111111111111111-1-1111111111111111-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiii−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-1−ii−ii
χ11111111111111111-1-111-11-111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1-11-111-1-1-1-1-1-11-11-1-111−i−iii−i−iiiii−i−iii−i−i11−ii−ii
χ12111111111111111-1-111-11-111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1-11-111-1-1-1-1-1-11-11-1-111ii−i−iii−i−i−i−iii−i−iii11i−ii−i
χ13111111111111111-1-11-11-11-1-1-1-1111111-1-1-1-1-1-1-11-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-1-11-1-111-1-1-11-11-11111ii−i−i−i−iiiii−i−i−i−iii-11i−i−ii
χ14111111111111111-1-11-11-11-1-1-1-1111111-1-1-1-1-1-1-11-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-1-11-1-111-1-1-11-11-11111−i−iiiii−i−i−i−iiiii−i−i-11−iii−i
χ15111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-1-1-111-1111111-1-1−i−iiiii−i−iii−i−i−i−iii1-1−iii−i
χ16111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-1-1-111-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1i−i−ii
χ17111111111-1-1111111-11111-1-1-1-11111111111111-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111
χ18111111111-1-1111111-11111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1
χ19111111111-1-1111111-11-11-1-1-11111111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-11111-11-11-1-1-111-1-1-1-11111-1-1-1-111111-111-1-1
χ20111111111-1-1111111-11-11-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-11111-11-11-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-111
χ21111111111-1-1111111-1-11-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-11-1-1-1111-1-111-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111111111-1-1111111-1-11-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-11-111111-1-1-1-1-1-1-1-111111111-1-11111
χ23111111111-1-1111111-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ24111111111-1-1111111-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1
χ25111111111-1-11111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-11-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i1-1−iii−i
χ26111111111-1-11111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i111111-1-1-1-1-1-11-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii1-1i−i−ii
χ27111111111-1-11111-1-1-11-11-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-1-11-1-1-111111-11-1111-1-1−i−iiiii−i−i−i−iiiii−i−i-11i−i−ii
χ28111111111-1-11111-1-1-11-11-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-1-11-1-1-111111-11-1111-1-1ii−i−i−i−iiiii−i−i−i−iii-11−iii−i
χ29111111111-1-11111-1-1-1-11-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-11-1-1-1111-1-11111-11-1-1-1-1-1ii−i−iii−i−i−i−iii−i−iii11−ii−ii
χ30111111111-1-11111-1-1-1-11-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1111-1-11111-11-1-1-1-1-1−i−iii−i−iiiii−i−iii−i−i11i−ii−i
χ31111111111-1-11111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-111111-1-111−i−iii−i−iii−i−iii−i−iii-1-1i−ii−i
χ32111111111-1-11111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-111111-1-111ii−i−iii−i−iii−i−iii−i−i-1-1−ii−ii
χ3322222-2-2-2-2002-2-222200000002i−2i222-2-2-22-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000002i−2i00000002i−2i2-22-2000000000000000000
χ3422222-2-2-2-2002-2-222200000002i−2i222-2-2-22-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000002i−2i00000002i−2i-22-22000000000000000000
χ3522222-2-2-2-2002-2-22220000000−2i2i222-2-2-22-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i0000000000−2i2i0000000−2i2i-22-22000000000000000000
χ3622222-2-2-2-2002-2-22220000000−2i2i222-2-2-22-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i0000000000−2i2i0000000−2i2i2-22-2000000000000000000
χ3722222-2-2-2-2002-2-22-2-200000002i−2i222-2-2-2-222-2-222000000000000000022-2-2-2-22200000000002i−2i0000000−2i2i−2i2i2i−2i000000000000000000
χ3822222-2-2-2-2002-2-22-2-200000002i−2i222-2-2-2-222-2-2220000000000000000-2-22222-2-200000000002i−2i0000000−2i2i2i−2i−2i2i000000000000000000
χ3922222-2-2-2-2002-2-22-2-20000000−2i2i222-2-2-2-222-2-222000000000000000022-2-2-2-2220000000000−2i2i00000002i−2i2i−2i−2i2i000000000000000000
χ4022222-2-2-2-2002-2-22-2-20000000−2i2i222-2-2-2-222-2-2220000000000000000-2-22222-2-20000000000−2i2i00000002i−2i−2i2i2i−2i000000000000000000
χ41222-2-222-2-2002222220020-200002-2-22-2-2222-2-2-2-200000000000000002i−2i2i−2i2i−2i2i−2i02000-20000000020-2000000002i−2i2i−2i00000000000000
χ42222-2-222-2-2002222220020-200002-2-22-2-2222-2-2-2-20000000000000000−2i2i−2i2i−2i2i−2i2i02000-20000000020-200000000−2i2i−2i2i00000000000000
χ43222-2-222-2-20022222200-20200002-2-22-2-2222-2-2-2-200000000000000002i−2i2i−2i2i−2i2i−2i0-2000200000000-20200000000−2i2i−2i2i00000000000000
χ44222-2-222-2-20022222200-20200002-2-22-2-2222-2-2-2-20000000000000000−2i2i−2i2i−2i2i−2i2i0-2000200000000-202000000002i−2i2i−2i00000000000000
χ45222-2-222-2-2002222-2-20020-200002-2-22-2-2-2-2-2222200000000000000002-22-2-22-2202000-200000000-202000000002-2-2200000000000000
χ46222-2-222-2-2002222-2-20020-200002-2-22-2-2-2-2-222220000000000000000-22-222-22-202000-200000000-20200000000-222-200000000000000
χ47222-2-222-2-2002222-2-200-20200002-2-22-2-2-2-2-2222200000000000000002-22-2-22-220-200020000000020-200000000-222-200000000000000
χ48222-2-222-2-2002222-2-200-20200002-2-22-2-2-2-2-222220000000000000000-22-222-22-20-200020000000020-2000000002-2-2200000000000000
χ49222-2-2-2-222002-2-2222000002-2002-2-2-2222-2-2-2-2220000000022-2-222-2-22-2-222-2-220000002-20000000002-2000000000000000000000000
χ50222-2-2-2-222002-2-2222000002-2002-2-2-2222-2-2-2-22200000000-2-222-2-222-222-2-222-20000002-20000000002-2000000000000000000000000
χ51222-2-2-2-222002-2-222200000-22002-2-2-2222-2-2-2-2220000000022-2-222-2-2-222-2-222-2000000-22000000000-22000000000000000000000000
χ52222-2-2-2-222002-2-222200000-22002-2-2-2222-2-2-2-22200000000-2-222-2-2222-2-222-2-22000000-22000000000-22000000000000000000000000
χ53222-2-2-2-222002-2-22-2-2000002-2002-2-2-222-22222-2-2000000002i2i−2i−2i−2i−2i2i2i2i−2i−2i2i−2i2i2i−2i0000002-2000000000-22000000000000000000000000
χ54222-2-2-2-222002-2-22-2-2000002-2002-2-2-222-22222-2-200000000−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i2i−2i−2i2i0000002-2000000000-22000000000000000000000000
χ55222-2-2-2-222002-2-22-2-200000-22002-2-2-222-22222-2-2000000002i2i−2i−2i−2i−2i2i2i−2i2i2i−2i2i−2i−2i2i000000-220000000002-2000000000000000000000000
χ56222-2-2-2-222002-2-22-2-200000-22002-2-2-222-22222-2-200000000−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i−2i2i2i−2i000000-220000000002-2000000000000000000000000
χ5722-22-22-22-200222222020-200000-22-2-22-2-22-22-2-22000000002-22-22-22-2000000002000-20000000020-2000000000000000002-22-2000000
χ5822-22-22-22-200222222020-200000-22-2-22-2-22-22-2-2200000000-22-22-22-22000000002000-20000000020-200000000000000000-22-22000000
χ5922-22-22-22-2002222220-20200000-22-2-22-2-22-22-2-22000000002-22-22-22-200000000-2000200000000-20200000000000000000-22-22000000
χ6022-22-22-22-2002222220-20200000-22-2-22-2-22-22-2-2200000000-22-22-22-2200000000-2000200000000-202000000000000000002-22-2000000
χ6122-22-22-22-2002222-2-2020-200000-22-2-22-22-22-222-2000000002i−2i2i−2i−2i2i−2i2i000000002000-200000000-202000000000000000002i−2i−2i2i000000
χ6222-22-22-22-2002222-2-2020-200000-22-2-22-22-22-222-200000000−2i2i−2i2i2i−2i2i−2i000000002000-200000000-20200000000000000000−2i2i2i−2i000000
χ6322-22-22-22-2002222-2-20-20200000-22-2-22-22-22-222-2000000002i−2i2i−2i−2i2i−2i2i00000000-200020000000020-200000000000000000−2i2i2i−2i000000
χ6422-22-22-22-2002222-2-20-20200000-22-2-22-22-22-222-200000000−2i2i−2i2i2i−2i2i−2i00000000-200020000000020-2000000000000000002i−2i−2i2i000000
χ6522-2-22-222-2222-2-2222-200000000-2-2222-2-2-22-22-220022-2-2222-2-222-2-2200000000000000000000-200000000000000002-22-20000000000
χ6622-2-22-222-2222-2-2222-200000000-2-2222-2-2-22-22-220022-2-222-222-2-222-200000000000000000000-20000000000000000-22-220000000000
χ6722-2-22-222-2222-2-22-2-2-200000000-2-2222-222-22-22-20022-2-2-2-22i−2i−2i2i−2i2i2i−2i00000000000000000000200000000000000002i−2i−2i2i0000000000
χ6822-2-22-222-2222-2-22-2-2-200000000-2-2222-222-22-22-20022-2-2-2-2−2i2i2i−2i2i−2i−2i2i0000000000000000000020000000000000000−2i2i2i−2i0000000000
χ6922-2-22-222-2-2-22-2-2222200000000-2-2222-2-2-22-22-2200-2-222-2-22-2-222-2-220000000000000000000020000000000000000-22-220000000000
χ7022-2-22-222-2-2-22-2-2222200000000-2-2222-2-2-22-22-2200-2-222-2-2-222-2-222-200000000000000000000200000000000000002-22-20000000000
χ7122-2-22-222-2-2-22-2-22-2-2200000000-2-2222-222-22-22-200-2-222222i−2i−2i2i−2i2i2i−2i00000000000000000000-20000000000000000−2i2i2i−2i0000000000
χ7222-2-22-222-2-2-22-2-22-2-2200000000-2-2222-222-22-22-200-2-22222−2i2i2i−2i2i−2i−2i2i00000000000000000000-200000000000000002i−2i−2i2i0000000000
χ7344444444444-1-1-1-100444444444-1-1-1-1-1-1000000044-1-1-1-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000
χ7444444444444-1-1-1-10044-44-444-4-4-1-1-1-1-1-10000000-4-4-1-1-1-1000000000000000000-1111-11-1-111110000000000000000000000000000000
χ7544444444444-1-1-1-1004-44-44-4-4-4-4-1-1-1-1-1-100000004-4-1-1-1-10000000000000000001-1111-111-1-1110000000000000000000000000000000
χ7644444444444-1-1-1-1004-4-4-4-4-4-444-1-1-1-1-1-10000000-44-1-1-1-100000000000000000011-1-1111111-1-10000000000000000000000000000000
χ77444444444-4-4-1-1-1-100-44444-4-4-4-4-1-1-1-1-1-10000000-441111000000000000000000-1-1-1-1-1-11111110000000000000000000000000000000
χ78444444444-4-4-1-1-1-100-44-44-4-4-444-1-1-1-1-1-100000004-41111000000000000000000-1111-1111-1-1-1-10000000000000000000000000000000
χ79444444444-4-4-1-1-1-100-4-44-444444-1-1-1-1-1-10000000-4-411110000000000000000001-1111-1-1-111-1-10000000000000000000000000000000
χ80444444444-4-4-1-1-1-100-4-4-4-4-444-4-4-1-1-1-1-1-1000000044111100000000000000000011-1-111-1-1-1-1110000000000000000000000000000000
χ8144-44-4-44-44004-4-4444000000000-44-44-44-4-444-44-40000000000000000000000000000000000000000000000000000000000000000000
χ8244-44-4-44-44004-4-44-4-4000000000-44-44-4444-4-44-440000000000000000000000000000000000000000000000000000000000000000000
χ8344-4-444-4-4400444444000000000-4-44-4-44-44-4-444-40000000000000000000000000000000000000000000000000000000000000000000
χ8444-4-444-4-44004444-4-4000000000-4-44-4-444-444-4-440000000000000000000000000000000000000000000000000000000000000000000
χ8588888-8-8-8-800-222-20000000008i−8i-2-2-222200000000000000000000000000000000000000000−2i2i0000000000000000000000000000000
χ8688888-8-8-8-800-222-2000000000−8i8i-2-2-2222000000000000000000000000000000000000000002i−2i0000000000000000000000000000000
χ87888-8-888-8-800-2-2-2-2000080-80000-222-22200000000000000000000000000000000-200020000000000000000000000000000000000000
χ88888-8-888-8-800-2-2-2-20000-8080000-222-222000000000000000000000000000000002000-20000000000000000000000000000000000000
χ89888-8-8-8-88800-222-200000008-800-2222-2-20000000000000000000000000000000000000-2200000000000000000000000000000000000
χ90888-8-8-8-88800-222-20000000-8800-2222-2-200000000000000000000000000000000000002-200000000000000000000000000000000000
χ9188-88-88-88-800-2-2-2-200080-8000002-222-220000000000000000000000000000000-2000200000000000000000000000000000000000000
χ9288-88-88-88-800-2-2-2-2000-808000002-222-2200000000000000000000000000000002000-200000000000000000000000000000000000000
χ9388-88-8-88-8800-222-2000000000002-22-22-200000000000000000000000000000000000000025−25000000000000000000000000000000000
χ9488-88-8-88-8800-222-2000000000002-22-22-2000000000000000000000000000000000000000−2525000000000000000000000000000000000
χ9588-8-888-8-8800-2-2-2-20000000000022-222-200000000000000000000000000000000025−25000000000000000000000000000000000000000
χ9688-8-888-8-8800-2-2-2-20000000000022-222-2000000000000000000000000000000000−2525000000000000000000000000000000000000000
χ9788-8-88-888-888-222-200-80000000022-2-2-22000000000-2-2220000000000000000000000000000000000000000000000000000000000000
χ9888-8-88-888-8-8-8-222-20080000000022-2-2-2200000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ998-800000004-4800-88-80000000000000000000000004-4004-400000000000000000000000000000000000000000000000000000000000
χ1008-800000004-4800-8-880000000000000000000000004-400-4400000000000000000000000000000000000000000000000000000000000
χ1018-80000000-44800-88-8000000000000000000000000-4400-4400000000000000000000000000000000000000000000000000000000000
χ1028-80000000-44800-8-88000000000000000000000000-44004-400000000000000000000000000000000000000000000000000000000000
χ10316-1600000008-8-445−45400000000000000000000000000-2225−250000000000000000000000000000000000000000000000000000000000000
χ10416-1600000008-8-4−4545400000000000000000000000000-22−25250000000000000000000000000000000000000000000000000000000000000
χ10516-160000000-88-445−454000000000000000000000000002-2−25250000000000000000000000000000000000000000000000000000000000000
χ10616-160000000-88-4−45454000000000000000000000000002-225−250000000000000000000000000000000000000000000000000000000000000

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