Finite Group Databasebeta

← Group #13026926

Character table — Group #13026926

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size1111222222444444445555888888888888881010101010101616202020202020202020202020202020202020202032323232808080808080
order122244888824588101010222210102020202040404040404040404488882424881616161616161616161616161616161610102020244444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1ii−i−i
χ6111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1−i−iii
χ7111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111−i−iii
χ8111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111ii−i−i
χ91111111111-1-11-1-11111111-1-11-1-111111-1-1-1-11111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-11-1
χ101111111111-1-11-1-11111111-1-11-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-11-11
χ111111111111-1-11-1-11111111-1-11-1-111111-1-1-1-1111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11-11
χ121111111111-1-11-1-11111111-1-11-1-111111-1-1-1-1111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-11-1
χ131111111111-1-11-1-1111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii
χ141111111111-1-11-1-1111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i
χ151111111111-1-11-1-1111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-111111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i
χ161111111111-1-11-1-1111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-111111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii
χ17222222-2-2-2-2222-2-22222222222222-2-2-2-2-2-2-2-222-2-2-2-20022-2-200000000000000000000000000
χ18222222-2-2-2-2222-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222200-2-22200000000000000000000000000
χ19222222-2-2-2-2-2-22222222222-2-22-2-22-2-2-2-2222222-2-2-2-200-2-22200000000000000000000000000
χ20222222-2-2-2-2-2-2222222-2-2-2-2-2-22-2-22-2-2-2-22222-2-222220022-2-200000000000000000000000000
χ212222-2-200002-2200222222222-2-2-2-200000000-2-20000002-20022−2−222−2−222−2−222−2−20000000000
χ222222-2-200002-2200222222222-2-2-2-200000000-2-20000002-200−2−222−2−222−2−222−2−2220000000000
χ232222-2-200002-2200222-2-2-2-222-2-2-2-20000000022000000-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000
χ242222-2-200002-2200222-2-2-2-222-2-2-2-20000000022000000-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000
χ252222-2-20000-222002222222-2-2-222-200000000-2-2000000-220022−2−2−2−22222−2−2−2−2220000000000
χ262222-2-20000-222002222222-2-2-222-200000000-2-2000000-2200−2−22222−2−2−2−22222−2−20000000000
χ272222-2-20000-22200222-2-2-2-2-2-2-222-200000000220000002-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000
χ282222-2-20000-22200222-2-2-2-2-2-2-222-200000000220000002-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000
χ292-22-22-200000022i−2i-22-22-22-200200-200002i2i−2i−2i2-2000000002i−2ii2−i2i2−i22−22−2i2−i2i2−i22−22−20000000000
χ302-22-22-200000022i−2i-22-22-22-200200-200002i2i−2i−2i2-2000000002i−2i−i2i2−i2i2−22−22−i2i2−i2i2−22−220000000000
χ312-22-22-200000022i−2i-22-2-22-2200200-200002i2i−2i−2i-2200000000−2i2i2−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000
χ322-22-22-200000022i−2i-22-2-22-2200200-200002i2i−2i−2i-2200000000−2i2i−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000
χ332-22-22-20000002−2i2i-22-22-22-200200-20000−2i−2i2i2i2-200000000−2i2ii2−i2i2−i2−22−22i2−i2i2−i2−22−220000000000
χ342-22-22-20000002−2i2i-22-22-22-200200-20000−2i−2i2i2i2-200000000−2i2i−i2i2−i2i22−22−2−i2i2−i2i22−22−20000000000
χ352-22-22-20000002−2i2i-22-2-22-2200200-20000−2i−2i2i2i-22000000002i−2i2−22−2i2−i2i2−i2−22−22−i2i2−i2i20000000000
χ362-22-22-20000002−2i2i-22-2-22-2200200-20000−2i−2i2i2i-22000000002i−2i−22−22−i2i2−i2i22−22−2i2−i2i2−i20000000000
χ372-22-2-2222-2-200200-22-22-22-200-200222-2-20000-2222-2-20000002i−2i−2i2i00002i−2i−2i2i00000000000000
χ382-22-2-2222-2-200200-22-22-22-200-200222-2-20000-2222-2-2000000−2i2i2i−2i0000−2i2i2i−2i00000000000000
χ392-22-2-2222-2-200200-22-2-22-2200-200222-2-200002-2-2-2220000002-2-220000-222-200000000000000
χ402-22-2-2222-2-200200-22-2-22-2200-200222-2-200002-2-2-222000000-222-200002-2-2200000000000000
χ412-22-2-22-2-22200200-22-22-22-200-2002-2-2220000-22-2-22200000000002-2-2200002-2-220000000000
χ422-22-2-22-2-22200200-22-22-22-200-2002-2-2220000-22-2-2220000000000-222-20000-222-20000000000
χ432-22-2-22-2-22200200-22-2-22-2200-2002-2-22200002-222-2-200000000002i−2i−2i2i0000−2i2i2i−2i0000000000
χ442-22-2-22-2-22200200-22-2-22-2200-2002-2-22200002-222-2-20000000000−2i2i2i−2i00002i−2i−2i2i0000000000
χ45444444444444-144-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-10000004400000000000000000000-1-1-1-1000000
χ46444444444444-144-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-4-4000000000000000000001111000000
χ474444444444-4-4-1-4-4-1-1-1000011-111-1-1-1-1-111110000004-400000000000000000000-1-111000000
χ484444444444-4-4-1-4-4-1-1-1000011-111-1-1-1-1-11111000000-440000000000000000000011-1-1000000
χ49444444-4-4-4-444-1-4-4-1-1-10000-1-1-1-1-1-11111111100000000000000000000000000005−55−5000000
χ50444444-4-4-4-444-1-4-4-1-1-10000-1-1-1-1-1-1111111110000000000000000000000000000−55−55000000
χ51444444-4-4-4-4-4-4-144-1-1-1000011-111-11111-1-1-1-100000000000000000000000000005−5−55000000
χ52444444-4-4-4-4-4-4-144-1-1-1000011-111-11111-1-1-1-10000000000000000000000000000−555−5000000
χ5344-4-40022−2222−22004004-4-444-4-400000022−2222−2200000022−2222−2200000000000000000000000000000000
χ5444-4-40022−2222−22004004-4-4-4-44400000022−2222−22000000−2222−222200000000000000000000000000000000
χ5544-4-400−2222−2222004004-4-444-4-4000000−2222−2222000000−2222−222200000000000000000000000000000000
χ5644-4-400−2222−2222004004-4-4-4-444000000−2222−222200000022−2222−2200000000000000000000000000000000
χ574-4-440022−22−222200400-4-444-4-4400000022−22−222200000022−22−222200000000000000000000000000000000
χ584-4-440022−22−222200400-4-44-444-400000022−22−2222000000−222222−2200000000000000000000000000000000
χ594-4-4400−222222−2200400-4-444-4-44000000−222222−22000000−222222−2200000000000000000000000000000000
χ604-4-4400−222222−2200400-4-44-444-4000000−222222−2200000022−22−222200000000000000000000000000000000
χ618888-8-800008-8-200-2-2-20000-2-222220000000000000000000000000000000000000000000000
χ628888-8-80000-88-200-2-2-20000222-2-220000000000000000000000000000000000000000000000
χ6388-8-80042−4242−4200-200-22200000002i5−2i50−22−22i10−i10i10−i1000000000000000000000000000000000000000
χ6488-8-80042−4242−4200-200-2220000000−2i52i50−22−22−i10i10−i10i1000000000000000000000000000000000000000
χ6588-8-800−4242−424200-200-22200000002i5−2i502−22−2−i10i10−i10i1000000000000000000000000000000000000000
χ6688-8-800−4242−424200-200-2220000000−2i52i502−22−2i10−i10i10−i1000000000000000000000000000000000000000
χ678-88-88-8000000-28i−8i2-22000000-20020000−2i−2i2i2i00000000000000000000000000000000000000
χ688-88-88-8000000-2−8i8i2-22000000-200200002i2i−2i−2i00000000000000000000000000000000000000
χ698-88-8-8888-8-800-2002-22000000200-2-2-222000000000000000000000000000000000000000000
χ708-88-8-88-8-88800-2002-22000000200-222-2-2000000000000000000000000000000000000000000
χ718-8-880042−42−424200-20022-2000025−250000−222−210−10−101000000000000000000000000000000000000000
χ728-8-880042−42−424200-20022-20000−25250000−222−2−101010−1000000000000000000000000000000000000000
χ738-8-8800−424242−4200-20022-2000025−2500002−2−22−101010−1000000000000000000000000000000000000000
χ748-8-8800−424242−4200-20022-20000−252500002−2−2210−10−101000000000000000000000000000000000000000

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