Finite Group Databasebeta

← Group #13019885

Character table — Group #13019885

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1111222244444444455558888881010101010101010101010101616161616161616161620202020202020202020202020202020203232404040404040808080
order12224444444445101010222288202020204444888888884202020202040404040444448888888888882020888888444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1
χ3111111111111111111111-1-11111111111111111-111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111-1-1-1-1111111-1-1-1-1iiii−i−i−i−i1111111111-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-1ii−i−i-1i−i
χ611111111111111111-1-1-1-1111111-1-1-1-1−i−i−i−iiiii1111111111-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-1−i−iii-1−ii
χ711111111111111111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-111111-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-111−i−iii1−ii
χ811111111111111111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-111ii−i−i1i−i
χ911111111-1-11-1-111111111111111111111111111-1-1-11-1-11111-1-11-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1
χ1011111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-11111-1-11111-1-111-1-1-1-1-111
χ1111111111-1-11-1-111111111-1-111111111111111111-1-11-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ1211111111-1-11-1-111111111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111111-1-111111-1-1
χ1311111111-1-11-1-11111-1-1-1-1111111-1-1-1-1iiii−i−i−i−i-1-1-11-1-1111111-111ii−i−i−i−i−i−iiiii-1-1-1-1ii−i−i1−ii
χ1411111111-1-11-1-11111-1-1-1-1111111-1-1-1-1−i−i−i−iiiii-1-1-11-1-1111111-111−i−iiiiiii−i−i−i−i-1-1-1-1−i−iii1i−i
χ1511111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i1-1-11-1-1-1-1-1-111-111ii−i−i−i−i−i−iiiii1111−i−iii-1i−i
χ1611111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii1-1-11-1-1-1-1-1-111-111−i−iiiiiii−i−i−i−i1111ii−i−i-1−ii
χ17222222-2-200-200222222220022-2-2-22-2222222222000-200000000-200-2-20000-2-2000000000000000
χ18222222-2-200-200222222220022-2-2-22-22-2-2-2-2-2-2-2-2000-200000000-20022000022000000000000000
χ19222222-2-200-2002222-2-2-2-20022-2-22-22-22i2i2i2i−2i−2i−2i−2i000-200000000200−2i−2i00002i2i000000000000000
χ20222222-2-200-2002222-2-2-2-20022-2-22-22-2−2i−2i−2i−2i2i2i2i2i000-2000000002002i2i0000−2i−2i000000000000000
χ212222-2-22222-2-2-22222222200-2-2222-22-200000000022-2-2-2000022-2-2-200000000000000000000000
χ222222-2-22222-2-2-22222-2-2-2-200-2-222-22-2200000000022-2-2-20000-2-222200000000000000000000000
χ232222-2-222-2-2-2222222222200-2-2222-22-2000000000-2-2-2220000-2-2-22200000000000000000000000
χ242222-2-222-2-2-2222222-2-2-2-200-2-222-22-22000000000-2-2-2220000222-2-200000000000000000000000
χ252222-2-2-2-2002002222222200-2-2-2-2-2-2-2-200000000000200000000200002i2i−2i−2i002i2i−2i−2i00000000000
χ262222-2-2-2-2002002222222200-2-2-2-2-2-2-2-20000000000020000000020000−2i−2i2i2i00−2i−2i2i2i00000000000
χ272222-2-2-2-2002002222-2-2-2-200-2-2-2-2222200000000000200000000-2000022-2-200-2-22200000000000
χ282222-2-2-2-2002002222-2-2-2-200-2-2-2-2222200000000000200000000-20000-2-2220022-2-200000000000
χ2922-2-22-2000000022-2-222-2-22−22-200020-222-2-222-2-200000022−2−200000000000000000002−22−22−2000
χ3022-2-22-2000000022-2-222-2-22−22-200020-2-2-222-2-22200000022−2−200000000000000000002−2−22−22000
χ3122-2-22-2000000022-2-222-2-2−222-200020-222-2-222-2-2000000−2−2220000000000000000000−22−22−22000
χ3222-2-22-2000000022-2-222-2-2−222-200020-2-2-222-2-222000000−2−2220000000000000000000−222−22−2000
χ3322-2-22-2000000022-2-2-2-2222−22-2000-2022i2i−2i−2i−2i−2i2i2i00000022−2−20000000000000000000−22i2−i2−i2i2000
χ3422-2-22-2000000022-2-2-2-2222−22-2000-202−2i−2i2i2i2i2i−2i−2i00000022−2−20000000000000000000−22−i2i2i2−i2000
χ3522-2-22-2000000022-2-2-2-222−222-2000-2022i2i−2i−2i−2i−2i2i2i000000−2−22200000000000000000002−2−i2i2i2−i2000
χ3622-2-22-2000000022-2-2-2-222−222-2000-202−2i−2i2i2i2i2i−2i−2i000000−2−22200000000000000000002−2i2−i2−i2i2000
χ372-22-2002-22-20002-22-22-22-200002-220-202−22−22−22−202-200000002-20002−22−22−22−22−22−200000000000
χ382-22-2002-22-20002-22-22-22-200002-220-20−22−22−22−2202-200000002-2000−22−22−22−22−22−2200000000000
χ392-22-2002-22-20002-22-2-22-2200002-2-2020i2−i2i2−i2−i2i2−i2i202-20000000-22000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i200000000000
χ402-22-2002-22-20002-22-2-22-2200002-2-2020−i2i2−i2i2i2−i2i2−i202-20000000-22000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i200000000000
χ412-22-2002-2-220002-22-22-22-200002-220-202−22−22−22−20-220000000-220002−2−22−222−2−22−2200000000000
χ422-22-2002-2-220002-22-22-22-200002-220-20−22−22−22−220-220000000-22000−222−22−2−222−22−200000000000
χ432-22-2002-2-220002-22-2-22-2200002-2-2020i2−i2i2−i2−i2i2−i2i20-2200000002-2000i2−i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000
χ442-22-2002-2-220002-22-2-22-2200002-2-2020−i2i2−i2i2i2−i2i2−i20-2200000002-2000−i2i2i2−i2i2−i2i2−i2−i2i2−i2i200000000000
χ452-22-200-220002i−2i2-22-22-22-20000-22-20202−22−22−22−200002i−2i00000002i−2i−22i2−i2−i2i2−22i2−i2−i2i200000000000
χ462-22-200-220002i−2i2-22-22-22-20000-22-2020−22−22−22−2200002i−2i00000002i−2i2−2−i2i2i2−i22−2−i2i2i2−i200000000000
χ472-22-200-220002i−2i2-22-2-22-220000-2220-20i2−i2i2−i2−i2i2−i2i200002i−2i0000000−2i2i−i2i2−222−2i2−i22−2−2200000000000
χ482-22-200-220002i−2i2-22-2-22-220000-2220-20−i2i2−i2i2i2−i2i2−i200002i−2i0000000−2i2ii2−i22−2−22−i2i2−222−200000000000
χ492-22-200-22000−2i2i2-22-22-22-20000-22-20202−22−22−22−20000−2i2i0000000−2i2i−22−i2i2i2−i2−22−i2i2i2−i200000000000
χ502-22-200-22000−2i2i2-22-22-22-20000-22-2020−22−22−22−220000−2i2i0000000−2i2i2−2i2−i2−i2i22−2i2−i2−i2i200000000000
χ512-22-200-22000−2i2i2-22-2-22-220000-2220-20i2−i2i2−i2−i2i2−i2i20000−2i2i00000002i−2i−i2i22−2−22i2−i2−222−200000000000
χ522-22-200-22000−2i2i2-22-2-22-220000-2220-20−i2i2−i2i2i2−i2i2−i20000−2i2i00000002i−2ii2−i2−222−2−i2i22−2−2200000000000
χ534444444444444-1-1-1-1000044-1-1-1-10000000000004-1-1-1-1-1-1-1-1-100000000000000000-1-1000000000
χ544444444444444-1-1-1-10000-4-4-1-1-1-1000000000000-4-1-1-1-1-111110000000000000000011000000000
χ5544444444-4-44-4-4-1-1-1-1000044-1-1-1-1000000000000-411-111-1-1-1-10000000000000000011000000000
χ5644444444-4-44-4-4-1-1-1-10000-4-4-1-1-1-1000000000000411-111111100000000000000000-1-1000000000
χ574444-4-44444-4-4-4-1-1-1-100000011-1-10000000000000-1-11115−55−5000000000000000005−5000000000
χ584444-4-44444-4-4-4-1-1-1-100000011-1-10000000000000-1-1111−55−5500000000000000000−55000000000
χ594444-4-444-4-4-444-1-1-1-100000011-1-10000000000000111-1-15−55−500000000000000000−55000000000
χ604444-4-444-4-4-444-1-1-1-100000011-1-10000000000000111-1-1−55−55000000000000000005−5000000000
χ6144-4-4-44000000044-4-444-4-400-44000-4040000000000000000000000000000000000000000000000
χ6244-4-4-44000000044-4-4-4-44400-4400040-40000000000000000000000000000000000000000000000
χ634-4-440000000004-4-444-4-44000000000022−22−222222−22−222200000000000000000000000000000000000000
χ644-4-440000000004-4-444-4-440000000000−222222−22−222222−2200000000000000000000000000000000000000
χ654-4-440000000004-4-44-444-400000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ664-4-440000000004-4-44-444-40000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ67888888-8-800-800-2-2-2-2000000-2-22200000000000000020000000000000000000000000000000000
χ688888-8-8-8-800800-2-2-2-20000002222000000000000000-20000000000000000000000000000000000
χ6988-8-88-80000000-2-222000042−42-2200000000000000000000−2−2220000000000000000000000000000
χ7088-8-88-80000000-2-2220000−4242-220000000000000000000022−2−20000000000000000000000000000
χ7188-8-8-880000000-2-2220000002-20000000000000000000010−10−10100000000000000000000000000000
χ7288-8-8-880000000-2-2220000002-200000000000000000000−101010−100000000000000000000000000000
χ738-88-8008-88-8000-22-2200000000-220000000000000-2200000000000000000000000000000000000
χ748-88-8008-8-88000-22-2200000000-2200000000000002-200000000000000000000000000000000000
χ758-88-800-880008i−8i-22-22000000002-20000000000000000−2i2i00000000000000000000000000000000
χ768-88-800-88000−8i8i-22-22000000002-200000000000000002i−2i00000000000000000000000000000000
χ7716-16-1616000000000-444-4000000000000000000000000000000000000000000000000000000000000

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