Finite Group Databasebeta

← Group #13017818

Character table — Group #13017818

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122224444444445555888888888888888810101010161616161616161616202020202020202020202020204040404040404040404040408080
order12224444444445101010222224442020202020202020202020204444101020202020202020444448888888824448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−ii−i
χ411111111111111111-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii−ii
χ511111111111-1-111111111-11-1-111111111-1-1-1-11111-1-1111-1-1-1-111-1-1111111111-11-1-111-1-111-1-1-1-1
χ611111111111-1-111111111-11-1-111111111-1-1-1-11111-1-1111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111
χ711111111111-1-11111-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1iiii−i−i−i−i1-111ii−i−i−i−iii−ii
χ811111111111-1-11111-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1−i−i−i−iiiii1-111−i−iiiii−i−ii−i
χ9111111111-1-111111111111-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111-1-1
χ10111111111-1-111111111111-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111
χ11111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1iiii−i−i−i−i-1111−i−iiiii−i−i−ii
χ12111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1−i−i−i−iiiii-1111ii−i−i−i−iiii−i
χ13111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-11-1-11111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-111
χ14111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-11-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ15111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111111-1iiii−i−i−i−i11-1-1−i−i−i−iiiiii−i
χ16111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111111-1−i−i−i−iiiii11-1-1iiii−i−i−i−i−ii
χ17222222-2-2-2002222222222-2000000022-2-222222-22-2-2-2-20000000022-200000000-20000000000000
χ18222222-2-2-200222222-2-2-2-2-2000000022-2-22222-22-22-2-2-200000000-2-220000000020000000000000
χ19222222-2-2-200-2-2222222222000000022-2-2-2-2-2-22-22-222-200000000-2-2-20000000020000000000000
χ20222222-2-2-200-2-22222-2-2-2-22000000022-2-2-2-2-2-2-22-2222-20000000022200000000-20000000000000
χ212222-2-222-22200222222220-2002222-2-2220000-22-2200-2-2-200002200-2000000000-2000000000000
χ222222-2-222-222002222-2-2-2-20-2002222-2-22200002-22-200-2-2-20000-2-20020000000002000000000000
χ232222-2-222-2-2-200222222220200-2-2-2-2-2-2220000-22-2200-2220000-2-200-20000000002000000000000
χ242222-2-222-2-2-2002222-2-2-2-20200-2-2-2-2-2-22200002-22-200-222000022002000000000-2000000000000
χ252222-2-2-2-22000022222222002-20000-2-2-2-20000-2-2-2-20020022-2-20000200000000002-20000000000
χ262222-2-2-2-2200002222222200-220000-2-2-2-20000-2-2-2-200200-2-222000020000000000-220000000000
χ272222-2-2-2-2200002222-2-2-2-2002-20000-2-2-2-2000022220020022-2-20000-20000000000-220000000000
χ282222-2-2-2-2200002222-2-2-2-200-220000-2-2-2-20000222200200-2-2220000-200000000002-20000000000
χ292-22-2002-202i−2i002-22-222-2-200002i2i−2i−2i002-200000-2020000000002i−2i00022−2−222−2−20000i2−i200i2−i20000
χ302-22-2002-202i−2i002-22-222-2-200002i2i−2i−2i002-200000-2020000000002i−2i000−2−222−2−2220000−i2i200−i2i20000
χ312-22-2002-202i−2i002-22-2-2-22200002i2i−2i−2i002-20000020-2000000000−2i2i000i2i2−i2−i2−i2−i2i2i20000−22002−20000
χ322-22-2002-202i−2i002-22-2-2-22200002i2i−2i−2i002-20000020-2000000000−2i2i000−i2−i2i2i2i2i2−i2−i200002−200−220000
χ332-22-2002-20−2i2i002-22-222-2-20000−2i−2i2i2i002-200000-202000000000−2i2i00022−2−222−2−20000−i2i200−i2i20000
χ342-22-2002-20−2i2i002-22-222-2-20000−2i−2i2i2i002-200000-202000000000−2i2i000−2−222−2−2220000i2−i200i2−i20000
χ352-22-2002-20−2i2i002-22-2-2-2220000−2i−2i2i2i002-20000020-20000000002i−2i000i2i2−i2−i2−i2−i2i2i200002−200−220000
χ362-22-2002-20−2i2i002-22-2-2-2220000−2i−2i2i2i002-20000020-20000000002i−2i000−i2−i2i2i2i2i2−i2−i20000−22002−20000
χ372-2-222-2000002i−2i2-2-222-22-2000000002-2002i2i−2i−2i-2020000000000002i−2i0i2−i2i2−i2i2−i2i2−i20000002−2002−200
χ382-2-222-2000002i−2i2-2-222-22-2000000002-2002i2i−2i−2i-2020000000000002i−2i0−i2i2−i2i2−i2i2−i2i2000000−2200−2200
χ392-2-222-2000002i−2i2-2-22-22-22000000002-2002i2i−2i−2i20-2000000000000−2i2i02−22−2−22−22000000−i2i200i2−i200
χ402-2-222-2000002i−2i2-2-22-22-22000000002-2002i2i−2i−2i20-2000000000000−2i2i0−22−222−22−2000000i2−i200−i2i200
χ412-2-222-200000−2i2i2-2-222-22-2000000002-200−2i−2i2i2i-202000000000000−2i2i0i2−i2i2−i2i2−i2i2−i2000000−2200−2200
χ422-2-222-200000−2i2i2-2-222-22-2000000002-200−2i−2i2i2i-202000000000000−2i2i0−i2i2−i2i2−i2i2−i2i20000002−2002−200
χ432-2-222-200000−2i2i2-2-22-22-22000000002-200−2i−2i2i2i20-20000000000002i−2i02−22−2−22−22000000i2−i200−i2i200
χ442-2-222-200000−2i2i2-2-22-22-22000000002-200−2i−2i2i2i20-20000000000002i−2i0−22−222−22−2000000−i2i200i2−i200
χ454444444444444-1-1-1-100004444-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ4644444444444-4-4-1-1-1-10000-44-4-4-1-1-1-1-1-1-1-11111000011-1-1-11111000000000000000000000000000
χ47444444444-4-444-1-1-1-100004-4-4-41111-1-1-1-1-1-1-1-10000-1-1-1111111000000000000000000000000000
χ48444444444-4-4-4-4-1-1-1-10000-4-4441111-1-1-1-11111000011-111-1-1-1-1000000000000000000000000000
χ49444444-4-4-40044-1-1-1-10000-40005−55−5-1-111-1-1-1-100001115−55−55−5000000000000000000000000000
χ50444444-4-4-40044-1-1-1-10000-4000−55−55-1-111-1-1-1-10000111−55−55−55000000000000000000000000000
χ51444444-4-4-400-4-4-1-1-1-1000040005−55−5-1-11111110000-1-115−5−55−55000000000000000000000000000
χ52444444-4-4-400-4-4-1-1-1-100004000−55−55-1-11111110000-1-11−555−55−5000000000000000000000000000
χ534444-4-444-44400-1-1-1-100000-400-1-1-1-111-1-15−55−500005−51115−5−55000000000000000000000000000
χ544444-4-444-44400-1-1-1-100000-400-1-1-1-111-1-1−55−550000−55111−555−5000000000000000000000000000
χ554444-4-444-4-4-400-1-1-1-100000400111111-1-15−55−500005−51-1-1−555−5000000000000000000000000000
χ564444-4-444-4-4-400-1-1-1-100000400111111-1-1−55−550000−551-1-15−5−55000000000000000000000000000
χ574444-4-4-4-440000-1-1-1-10000004-45−55−511115−55−50000−55-1−55-1-111000000000000000000000000000
χ584444-4-4-4-440000-1-1-1-10000004-4−55−551111−55−5500005−5-15−5-1-111000000000000000000000000000
χ594444-4-4-4-440000-1-1-1-1000000-445−55−51111−55−5500005−5-1−5511-1-1000000000000000000000000000
χ604444-4-4-4-440000-1-1-1-1000000-44−55−5511115−55−50000−55-15−511-1-1000000000000000000000000000
χ6144-4-400000000044-4-44-4-4400000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ6244-4-400000000044-4-44-4-440000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ6344-4-400000000044-4-4-444-400000000000000000000000000000000002-2-22-222-200000000000000
χ6444-4-400000000044-4-4-444-40000000000000000000000000000000000-222-22-2-2200000000000000
χ654-44-400-44000004-44-444-4-40000000000-440000040-4000000000000000000000000000000000000
χ664-44-400-44000004-44-4-4-4440000000000-4400000-404000000000000000000000000000000000000
χ674-4-44-4400000004-4-444-44-400000000-4400000040-40000000000000000000000000000000000000
χ684-4-44-4400000004-4-44-44-4400000000-44000000-4040000000000000000000000000000000000000
χ698-88-8008-808i−8i00-22-2200000000−2i−2i2i2i00-2200000000000000000000000000000000000000000000
χ708-88-8008-80−8i8i00-22-22000000002i2i−2i−2i00-2200000000000000000000000000000000000000000000
χ718-88-800-8800000-22-22000000002i5−2i5−2i52i5002-200000000000000000000000000000000000000000000
χ728-88-800-8800000-22-2200000000−2i52i52i5−2i5002-200000000000000000000000000000000000000000000
χ738-8-888-8000008i−8i-222-2000000000000-2200−2i−2i2i2i0000000000000000000000000000000000000000
χ748-8-888-800000−8i8i-222-2000000000000-22002i2i−2i−2i0000000000000000000000000000000000000000
χ758-8-88-880000000-222-20000000000002-2002i5−2i5−2i52i50000000000000000000000000000000000000000
χ768-8-88-880000000-222-20000000000002-200−2i52i52i5−2i50000000000000000000000000000000000000000
χ771616-16-16000000000-4-444000000000000000000000000000000000000000000000000000000000000

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