Finite Group Databasebeta

← Group #13048327

Character table — Group #13048327

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222233446666669999991212121212121818181818181818181818181818181824242727272727273636363636363636545454545454
order1233664436336612122244443336666666121212121212121212121212362222446612121212121266661212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ31111111111111111-1-111-1-1111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1
χ41111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-111-1-111-1-1
χ5111111-1-1111111-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ6111111-1-1111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1
χ7111111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111
χ8111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-111
χ91-111-1-1i−i1-111-1-1i−i1-1i−ii−i111-1-1-111-1-1i−ii−iii−i−ii−ii−i1-11-11-1i−i1-1i−ii−ii−i1-11-1i−i
χ101-111-1-1i−i1-111-1-1i−i1-1−ii−ii111-1-1-111-1-1−ii−iiii−i−i−ii−ii1-1-11-11i−i1-1i−i−ii−ii-11-11i−i
χ111-111-1-1i−i1-111-1-1i−i-11i−i−ii111-1-1-1-1-111i−i−iiii−i−ii−i−ii1-11-1-11−ii-11i−ii−i−ii1-1-11−ii
χ121-111-1-1i−i1-111-1-1i−i-11−iii−i111-1-1-1-1-111−iii−iii−i−i−iii−i1-1-111-1−ii-11i−i−iii−i-111-1−ii
χ131-111-1-1−ii1-111-1-1−ii1-1i−ii−i111-1-1-111-1-1i−ii−i−i−iiii−ii−i1-1-11-11−ii1-1−iii−ii−i-11-11−ii
χ141-111-1-1−ii1-111-1-1−ii1-1−ii−ii111-1-1-111-1-1−ii−ii−i−iii−ii−ii1-11-11-1−ii1-1−ii−ii−ii1-11-1−ii
χ151-111-1-1−ii1-111-1-1−ii-11i−i−ii111-1-1-1-1-111i−i−ii−i−iiii−i−ii1-1-111-1i−i-11−iii−i−ii-111-1i−i
χ161-111-1-1−ii1-111-1-1−ii-11−iii−i111-1-1-1-1-111−iii−i−i−iii−iii−i1-11-1-11i−i-11−ii−iii−i1-1-11i−i
χ1722222222222-12-1220000222-1-12-1-1000000222-12-100-1-1-1-100220000-1-100-1-100-1-100
χ1822222222222-12-1220000-2-22-1-12-1-1000000-2-22-12-10011-1-100-2-20000-1-10011001100
χ192222222222-12-1222002200-12-1-12-100002200-12-12-1-100-1-122000000-1-1-1-100-1-10000
χ202222222222-12-122200-2-200-12-1-12-10000-2-200-12-121100-1-1-2-2000000-1-11100110000
χ21222222-2-2222-12-1-2-20000222-1-12-1-100000022-21-2100-1-1-1-100-2-200001100-1-1001100
χ22222222-2-2222-12-1-2-20000-2-22-1-12-1-1000000-2-2-21-210011-1-10022000011001100-1-100
χ23222222-2-222-12-12-2-2002200-12-1-12-1000022001-21-2-1-100-1-1-2-200000011-1-100110000
χ24222222-2-222-12-12-2-200-2-200-12-1-12-10000-2-2001-21-21100-1-122000000111100-1-10000
χ25222-1-1200-1-1222200222222-1-12-1-122-12-1-1-1-1-100002222-1-1000000-1-100-1-1-1-1000000
χ26222-1-1200-1-122220022-2-2-2-2-1-12-1-122-12-111110000-2-2-2-2-1-1000000-1-1001111000000
χ27222-1-1200-1-1222200-2-222-2-2-1-12-1-12-21-21-1-111000022-2-2-1-10000001100-1-111000000
χ28222-1-1200-1-1222200-2-2-2-222-1-12-1-12-21-2111-1-10000-2-222-1-1000000110011-1-1000000
χ292-222-2-22i−2i2-22-1-212i−2i00002i−2i2-1-1-2110000002i−2i2i−i−2ii00−ii-11002-20000−ii00−ii00-1100
χ302-222-2-22i−2i2-22-1-212i−2i0000−2i2i2-1-1-211000000−2i2i2i−i−2ii00i−i-1100-220000−ii00i−i001-100
χ312-222-2-22i−2i2-2-121-22i−2i002i−2i00-12-11-2100002i−2i00−i2ii−2i−ii00-112-2000000−ii−ii00-110000
χ322-222-2-22i−2i2-2-121-22i−2i00−2i2i00-12-11-210000−2i2i00−i2ii−2ii−i00-11-22000000−iii−i001-10000
χ332-222-2-2−2i2i2-22-1-21−2i2i00002i−2i2-1-1-2110000002i−2i−2ii2i−i00−ii-1100-220000i−i00−ii001-100
χ342-222-2-2−2i2i2-22-1-21−2i2i0000−2i2i2-1-1-211000000−2i2i−2ii2i−i00i−i-11002-20000i−i00i−i00-1100
χ352-222-2-2−2i2i2-2-121-2−2i2i002i−2i00-12-11-2100002i−2i00i−2i−i2i−ii00-11-22000000i−i−ii001-10000
χ362-222-2-2−2i2i2-2-121-2−2i2i00−2i2i00-12-11-210000−2i2i00i−2i−i2ii−i00-112-2000000i−ii−i00-110000
χ372-22-11-200-1122-2-2002-22i−2i2i−2i-1-1211-22-1-21−ii−ii00002i−2i2i−2i-11000000-1100−ii−ii000000
χ382-22-11-200-1122-2-2002-2−2i2i−2i2i-1-1211-22-1-21i−ii−i0000−2i2i−2i2i-11000000-1100i−ii−i000000
χ392-22-11-200-1122-2-200-222i−2i−2i2i-1-1211-2-212-1−iii−i00002i−2i−2i2i-110000001-100−iii−i000000
χ402-22-11-200-1122-2-200-22−2i2i2i−2i-1-1211-2-212-1i−i−ii0000−2i2i2i−2i-110000001-100i−i−ii000000
χ414444444444-2-2-2-244000000-2-21-2-2100000000-2-2-2-200001100000000110000000000
χ42444444-4-444-2-2-2-2-4-4000000-2-21-2-2100000000222200001100000000-1-10000000000
χ43444-2-2400-2-24-24-200000044-21-2-21-2000000-2-2000000-2-21100000000000011000000
χ44444-2-2400-2-24-24-2000000-4-4-21-2-21-2000000220000002211000000000000-1-1000000
χ45444-2-2400-2-2-24-24000044001-2-21-2-20000-2-2000000-2-2001100000000001100000000
χ46444-2-2400-2-2-24-240000-4-4001-2-21-2-20000220000002200110000000000-1-100000000
χ474-444-4-44i−4i4-4-2-2224i−4i000000-2-2122-100000000−2i−2i2i2i00001-100000000i−i0000000000
χ484-444-4-4−4i4i4-4-2-222−4i4i000000-2-2122-1000000002i2i−2i−2i00001-100000000−ii0000000000
χ494-44-22-400-224-2-420000004i−4i-21-22-12000000−2i2i000000−2i2i1-1000000000000i−i000000
χ504-44-22-400-224-2-42000000−4i4i-21-22-120000002i−2i0000002i−2i1-1000000000000−ii000000
χ514-44-22-400-22-242-400004i−4i001-2-2-1220000−2i2i000000−2i2i001-10000000000i−i00000000
χ524-44-22-400-22-242-40000−4i4i001-2-2-12200002i−2i0000002i−2i001-10000000000−ii00000000
χ5366-366-366-3-30000-3-3220000000000-12-1200000000000000000022-1-10000000000-1-1
χ5466-366-366-3-30000-3-3-2-200000000001-21-2000000000000000000-2-211000000000011
χ5566-366-3-6-6-3-3000033220000000000-12-12000000000000000000-2-2-1-1000000000011
χ5666-366-3-6-6-3-3000033-2-200000000001-21-200000000000000000022110000000000-1-1
χ576-6-36-636i−6i-330000−3i3i2-20000000000-121-20000000000000000002i−2i-110000000000−ii
χ586-6-36-636i−6i-330000−3i3i-2200000000001-2-12000000000000000000−2i2i1-10000000000i−i
χ596-6-36-63−6i6i-3300003i−3i2-20000000000-121-2000000000000000000−2i2i-110000000000i−i
χ606-6-36-63−6i6i-3300003i−3i-2200000000001-2-120000000000000000002i−2i1-10000000000−ii
χ61888-4-4800-4-4-4-4-4-4000000002222220000000000000000-1-100000000000000000000
χ628-88-44-800-44-4-44400000000222-2-2-20000000000000000-1100000000000000000000
χ631212-6-6-6-60033000000440000000000-2-2-2-20000000000000000000011000000000000
χ641212-6-6-6-60033000000-4-40000000000222200000000000000000000-1-1000000000000
χ6512-12-6-666003-30000004-40000000000-2-222000000000000000000001-1000000000000
χ6612-12-6-666003-3000000-44000000000022-2-200000000000000000000-11000000000000

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