Finite Group Databasebeta

← Group #13019059

Character table — Group #13019059

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111222244444555588888888881010101016161616161616161620202020202020202020202020202020203232404040404040404040408080
order12224444451010102222448888202020204444204040404040404040444444444888888882020444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ31111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111
χ511111111111111111-1-111-1-11111111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1
χ611111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ811111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-111-1-111-1-1
χ91111111111111-1-1-1-11111111111-1-1-1-1111111111ii−i−iii−i−i-1iiii−i−i−i−i11-1-1i−ii−i-1-1-1-1i−i
χ101111111111111-1-1-1-11111111111-1-1-1-1111111111−i−iii−i−iii-1−i−i−i−iiiii11-1-1−ii−ii-1-1-1-1−ii
χ111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1ii−i−iii−i−i-1−i−i−i−iiiii11-1-1i−ii−i1111−ii
χ121111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1−i−iii−i−iii-1iiii−i−i−i−i11-1-1−ii−ii1111i−i
χ131111111111111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1ii−i−i−i−iii-1iiii−i−i−i−i-1-111i−i−ii-1-111−ii
χ141111111111111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1−i−iiiii−i−i-1−i−i−i−iiiii-1-111−iii−i-1-111i−i
χ151111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111ii−i−i−i−iii-1−i−i−i−iiiii-1-111i−i−ii11-1-1i−i
χ161111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i-1iiii−i−i−i−i-1-111−iii−i11-1-1−ii
χ1722222-22-2-2222222220000002-22-222-2-2-20000000000002222-200000000000000-2-2000000
χ1822222-22-2-2222222220000002-22-222-2-2-2000000000000-2-2-2-2-20000000000000022000000
χ1922222-22-2-22222-2-2-2-20000002-22-2-2-222-20000000000002i2i−2i−2i200000000000000−2i2i000000
χ2022222-22-2-22222-2-2-2-20000002-22-2-2-222-2000000000000−2i−2i2i2i2000000000000002i−2i000000
χ212222-22-22-222222222000000-22-22-2-222-20000000022220000-2000000000000-2-200000000
χ222222-22-22-222222222000000-22-22-2-222-200000000-2-2-2-20000-20000000000002200000000
χ232222-22-22-22222-2-2-2-2000000-22-2222-2-2-2000000002i2i−2i−2i00002000000000000−2i2i00000000
χ242222-22-22-22222-2-2-2-2000000-22-2222-2-2-200000000−2i−2i2i2i000020000000000002i−2i00000000
χ252222-2-2-2-22222222222-20000-2-2-2-2-2-2-2-2200000000000000002000000002-22-20000000000
χ262222-2-2-2-2222222222-220000-2-2-2-2-2-2-2-220000000000000000200000000-22-220000000000
χ272222-2-2-2-222222-2-2-2-22-20000-2-2-2-2222220000000000000000-2000000002-2-220000000000
χ282222-2-2-2-222222-2-2-2-2-220000-2-2-2-2222220000000000000000-200000000-222-20000000000
χ2922-2-2-2020022-2-22-2-220000i2−i2-20202-20000000i2i2−i2−i200002-22-20i2i2−i2−i2i2i2−i2−i20000000000i2−i200
χ3022-2-2-2020022-2-22-2-220000i2−i2-20202-20000000i2i2−i2−i20000-22-220−i2−i2i2i2−i2−i2i2i20000000000i2−i200
χ3122-2-2-2020022-2-22-2-220000−i2i2-20202-20000000−i2−i2i2i200002-22-20−i2−i2i2i2−i2−i2i2i20000000000−i2i200
χ3222-2-2-2020022-2-22-2-220000−i2i2-20202-20000000−i2−i2i2i20000-22-220i2i2−i2−i2i2i2−i2−i20000000000−i2i200
χ3322-2-2-2020022-2-2-222-20000i2−i2-2020-220000000i2i2−i2−i200002i−2i−2i2i0−2−22222−2−20000000000−i2i200
χ3422-2-2-2020022-2-2-222-20000i2−i2-2020-220000000i2i2−i2−i20000−2i2i2i−2i022−2−2−2−2220000000000−i2i200
χ3522-2-2-2020022-2-2-222-20000−i2i2-2020-220000000−i2−i2i2i200002i−2i−2i2i022−2−2−2−2220000000000i2−i200
χ3622-2-2-2020022-2-2-222-20000−i2i2-2020-220000000−i2−i2i2i20000−2i2i2i−2i0−2−22222−2−20000000000i2−i200
χ372-2-220-20202-2-2222-2-2002−2000-202002-2022−2−200002i−2i2i−2i00000i2−i2i2−i2i2−i2i2−i2000000002−20000
χ382-2-220-20202-2-2222-2-2002−2000-202002-2022−2−20000−2i2i−2i2i00000−i2i2−i2i2−i2i2−i2i2000000002−20000
χ392-2-220-20202-2-2222-2-200−22000-202002-20−2−22200002i−2i2i−2i00000−i2i2−i2i2−i2i2−i2i200000000−220000
χ402-2-220-20202-2-2222-2-200−22000-202002-20−2−2220000−2i2i−2i2i00000i2−i2i2−i2i2−i2i2−i200000000−220000
χ412-2-220-20202-2-22-2-222002−2000-20200-22022−2−200002-2-22000002−22−2−22−2200000000−220000
χ422-2-220-20202-2-22-2-222002−2000-20200-22022−2−20000-222-200000−22−222−22−200000000−220000
χ432-2-220-20202-2-22-2-22200−22000-20200-220−2−22200002-2-2200000−22−222−22−2000000002−20000
χ442-2-220-20202-2-22-2-22200−22000-20200-220−2−2220000-222-2000002−22−2−22−22000000002−20000
χ45444444444-1-1-1-10000444444-1-1-1-10000-1-1-1-1-1-1-1-1-100000000000000000-1-1000000000000
χ46444444444-1-1-1-1000044-4-4-4-4-1-1-1-10000-11111111100000000000000000-1-1000000000000
χ47444444444-1-1-1-10000-4-444-4-4-1-1-1-10000-1-1-1-1-111110000000000000000011000000000000
χ48444444444-1-1-1-10000-4-4-4-444-1-1-1-10000-11111-1-1-1-10000000000000000011000000000000
χ494444-4-4-4-44-1-1-1-100004-4000011110000-1i5−i5i5−i5i5−i5i5−i500000000000000000-11000000000000
χ504444-4-4-4-44-1-1-1-100004-4000011110000-1−i5i5−i5i5−i5i5−i5i500000000000000000-11000000000000
χ514444-4-4-4-44-1-1-1-10000-44000011110000-1i5−i5i5−i5−i5i5−i5i5000000000000000001-1000000000000
χ524444-4-4-4-44-1-1-1-10000-44000011110000-1−i5i5−i5i5i5−i5i5−i5000000000000000001-1000000000000
χ5344-4-440-40044-4-44-4-4400000040-40-44000000000000000000000000000000000000000000
χ5444-4-440-40044-4-4-444-400000040-404-4000000000000000000000000000000000000000000
χ554-44-4000004-44-44-44-4000000000000000000000000000000002-2-222-2-2200000000000000
χ564-44-4000004-44-44-44-400000000000000000000000000000000-222-2-222-200000000000000
χ574-44-4000004-44-4-44-44000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ584-44-4000004-44-4-44-4400000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ594-4-44040-404-4-4444-4-4000000040-400-440000000000000000000000000000000000000000
χ604-4-44040-404-4-44-4-444000000040-4004-40000000000000000000000000000000000000000
χ6188888-88-8-8-2-2-2-20000000000-22-2200002000000000000000000000000000000000000000
χ628888-88-88-8-2-2-2-200000000002-22-200002000000000000000000000000000000000000000
χ6388-8-880-800-2-2220000000000-202000000000010−10−10100000000000000000000000000000000
χ6488-8-880-800-2-2220000000000-2020000000000−101010−100000000000000000000000000000000
χ6588-8-8-80800-2-222000000004i2−4i220-20000000000−i2−i2i2i20000000000000000000000000000000
χ6688-8-8-80800-2-22200000000−4i24i220-20000000000i2i2−i2−i20000000000000000000000000000000
χ678-8-88080-80-222-200000000000-20200000i10−i10−i10i1000000000000000000000000000000000000
χ688-8-88080-80-222-200000000000-20200000−i10i10i10−i1000000000000000000000000000000000000
χ698-8-880-8080-222-200000042−4200020-200000−2−22200000000000000000000000000000000000
χ708-8-880-8080-222-2000000−424200020-20000022−2−200000000000000000000000000000000000
χ7116-1616-1600000-44-440000000000000000000000000000000000000000000000000000000000

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