Finite Group Databasebeta

← Group #13022410

Character table — Group #13022410

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size1111222222444444448888888888888888881010101010101010161616161616161640404040404040404040404040404040404040404040
order12222222225101010101010102224441010101010101010101010102222222210102020202020202444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-111-1-111-1-111-1-111-1-1
χ10111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-1-1-111-1-111-1-111-1-111
χ11111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222-2-2-2-2222-2-22-2-200000022-2-200000000222-22-2-2-2000000000000000000002i−2i0000002i−2i
χ18222222-2-2-2-2222-2-22-2-200000022-2-200000000222-22-2-2-200000000000000000000−2i2i000000−2i2i
χ19222222-2-2-2-2222-2-22-2-200000022-2-200000000-2-2-22-2222000000000000000000002-2000000-22
χ20222222-2-2-2-2222-2-22-2-200000022-2-200000000-2-2-22-222200000000000000000000-220000002-2
χ212222-2-222-2-2222-2-22-2-2000000-2-2220000000022-22-22-2-200000000000000002i−2i0000002i−2i0000
χ222222-2-222-2-2222-2-22-2-2000000-2-2220000000022-22-22-2-20000000000000000−2i2i000000−2i2i0000
χ232222-2-222-2-2222-2-22-2-2000000-2-22200000000-2-22-22-22200000000000000002-2000000-220000
χ242222-2-222-2-2222-2-22-2-2000000-2-22200000000-2-22-22-2220000000000000000-220000002-20000
χ252222-2-2-2-22222222222002-200-2-2-2-20000000022-2-2-2-22222-2-20000200-2000000000000000000
χ262222-2-2-2-22222222222002-200-2-2-2-200000000-2-22222-2-222-2-20000-2002000000000000000000
χ272222-2-2-2-2222222222200-2200-2-2-2-20000000022-2-2-2-222-2-2220000-2002000000000000000000
χ282222-2-2-2-2222222222200-2200-2-2-2-200000000-2-22222-2-2-2-2220000200-2000000000000000000
χ292-2-222-22-22-22-2-2222-2-20000002-22-2000000002-222-2-22-20000000000000000002i−2i0000002i−2i00
χ302-2-222-22-22-22-2-2222-2-20000002-22-2000000002-222-2-22-2000000000000000000−2i2i000000−2i2i00
χ312-2-222-22-22-22-2-2222-2-20000002-22-200000000-22-2-222-220000000000000000002-2000000-2200
χ322-2-222-22-22-22-2-2222-2-20000002-22-200000000-22-2-222-22000000000000000000-220000002-200
χ332-2-222-2-22-222-2-2-2-22222-200002-2-222222-2-2-2-22-22-2-22-220000000002-20000000000000000000
χ342-2-222-2-22-222-2-2-2-22222-200002-2-222222-2-2-2-2-22-222-22-2000000000-220000000000000000000
χ352-2-222-2-22-222-2-2-2-2222-2200002-2-22-2-2-2-222222-22-2-22-22000000000-220000000000000000000
χ362-2-222-2-22-222-2-2-2-2222-2200002-2-22-2-2-2-22222-22-222-22-20000000002-20000000000000000000
χ372-2-22-222-2-222-2-2-2-222200002-2-222-2000000002-2-222-2-22000022-2-200002-20000000000000000
χ382-2-22-222-2-222-2-2-2-222200002-2-222-200000000-222-2-222-2000022-2-20000-220000000000000000
χ392-2-22-222-2-222-2-2-2-22220000-22-222-2000000002-2-222-2-220000-2-2220000-220000000000000000
χ402-2-22-222-2-222-2-2-2-22220000-22-222-200000000-222-2-222-20000-2-22200002-20000000000000000
χ412-2-22-22-222-22-2-2222-2-2000000-22-22000000002-2-2-2222-2000000000000002-20000002-2000000
χ422-2-22-22-222-22-2-2222-2-2000000-22-22000000002-2-2-2222-200000000000000-22000000-22000000
χ432-2-22-22-222-22-2-2222-2-2000000-22-2200000000-2222-2-2-22000000000000002i−2i000000−2i2i000000
χ442-2-22-22-222-22-2-2222-2-2000000-22-2200000000-2222-2-2-2200000000000000−2i2i0000002i−2i000000
χ454444444444-1-1-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000000000000000
χ464444444444-1-1-1-1-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000000000000000
χ474444444444-1-1-1-1-1-1-1-1-4-444-4-4-1-1-1-11111111100000000-1-1-1-111110000000000000000000000
χ484444444444-1-1-1-1-1-1-1-1-4-4-4-444-1-1-1-111111111000000001111-1-1-1-10000000000000000000000
χ494444-4-4-4-444-1-1-1-1-1-1-1-1004-400111155−5−555−5−500000000-1-1115−55−50000000000000000000000
χ504444-4-4-4-444-1-1-1-1-1-1-1-1004-4001111−5−555−5−55500000000-1-111−55−550000000000000000000000
χ514444-4-4-4-444-1-1-1-1-1-1-1-100-4400111155−5−555−5−50000000011-1-1−55−550000000000000000000000
χ524444-4-4-4-444-1-1-1-1-1-1-1-100-44001111−5−555−5−5550000000011-1-15−55−50000000000000000000000
χ534-4-444-4-44-44-11111-1-1-14-40000-111-1-1-1-1-11111000000005−55−55−5−550000000000000000000000
χ544-4-444-4-44-44-11111-1-1-14-40000-111-1-1-1-1-1111100000000−55−55−555−50000000000000000000000
χ554-4-444-4-44-44-11111-1-1-1-440000-111-11111-1-1-1-1000000005−55−5−555−50000000000000000000000
χ564-4-444-4-44-44-11111-1-1-1-440000-111-11111-1-1-1-100000000−55−555−5−550000000000000000000000
χ574-4-44-444-4-44-11111-1-1-100004-41-1-1155−5−5−5−555000000005−5−55-1-1110000000000000000000000
χ584-4-44-444-4-44-11111-1-1-100004-41-1-11−5−55555−5−500000000−555−5-1-1110000000000000000000000
χ594-4-44-444-4-44-11111-1-1-10000-441-1-1155−5−5−5−55500000000−555−511-1-10000000000000000000000
χ604-4-44-444-4-44-11111-1-1-10000-441-1-11−5−55555−5−5000000005−5−5511-1-10000000000000000000000
χ61888888-8-8-8-8-2-2-222-222000000-2-2220000000000000000000000000000000000000000000000
χ628888-8-888-8-8-2-2-222-22200000022-2-20000000000000000000000000000000000000000000000
χ6388-8-800000088-800-80000000000000000000000000000000000000000000000000000000000
χ6488-8-8000000-2-2225−25225−2500000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800000000000000000000000000000000000000
χ6588-8-8000000-2-2225−25225−250000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ1800000000000000000000000000000000000000
χ6688-8-8000000-2-22−25252−25250000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000
χ6788-8-8000000-2-22−25252−252500000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000
χ688-88-80000008-8800-80000000000000000000000000000000000000000000000000000000000
χ698-88-8000000-22-225−252−25250000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000
χ708-88-8000000-22-225−252−252500000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000
χ718-88-8000000-22-2−2525225−2500000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ1800000000000000000000000000000000000000
χ728-88-8000000-22-2−2525225−250000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800000000000000000000000000000000000000
χ738-8-888-88-88-8-222-2-2-222000000-22-220000000000000000000000000000000000000000000000
χ748-8-88-88-888-8-222-2-2-2220000002-22-20000000000000000000000000000000000000000000000

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