Finite Group Databasebeta

← Group #13048326

Character table — Group #13048326

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222233446666669999991212121212121818181818181818181818181818181824242727272727273636363636363636545454545454
order1233664436336612122244443336666666121212121212121212121212362222446612121212121266661212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111
χ31111111111111111-1-111-1-1111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1
χ41111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-111-1-1
χ5111111-1-1111111-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
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
χ7111111-1-1111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111
χ8111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-111
χ91-111-1-1i−i1-111-1-1i−i1-1i−ii−i111-1-1-11-11-1i−ii−ii−ii−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−ii111-1-1-11-11-1−ii−ii−iii−i−iii−i1-1-11-11i−i1-1−iii−i−ii-11-11i−i
χ111-111-1-1i−i1-111-1-1i−i-11i−i−ii111-1-1-1-11-11i−ii−i−iii−i−iii−i1-11-1-11−ii-11i−ii−i−ii1-1-11−ii
χ121-111-1-1i−i1-111-1-1i−i-11−iii−i111-1-1-1-11-11−ii−iii−ii−ii−ii−i1-1-111-1−ii-11−iii−ii−i-111-1−ii
χ131-111-1-1−ii1-111-1-1−ii1-1i−ii−i111-1-1-11-11-1i−ii−ii−i−iii−i−ii1-1-11-11−ii1-1i−i−iii−i-11-11−ii
χ141-111-1-1−ii1-111-1-1−ii1-1−ii−ii111-1-1-11-11-1−ii−ii−ii−ii−ii−ii1-11-11-1−ii1-1−ii−ii−ii1-11-1−ii
χ151-111-1-1−ii1-111-1-1−ii-11i−i−ii111-1-1-1-11-11i−ii−i−ii−ii−ii−ii1-1-111-1i−i-11i−i−ii−ii-111-1i−i
χ161-111-1-1−ii1-111-1-1−ii-11−iii−i111-1-1-1-11-11−ii−iii−i−iii−i−ii1-11-1-11i−i-11−ii−iii−i1-1-11i−i
χ1722222222222-1-1222000022-1-122-1-10000000022-1-1-1-122-1-10022000000-1-1-1-100-1-100
χ1822222222222-1-12220000-2-2-1-122-1-100000000-2-2-1-11122-1-100-2-2000000-1-111001100
χ192222222222-122-1222200002-1-1-12-122-1-10000002200-1-1-1-1000022-1-100-1-1000000-1-1
χ202222222222-122-122-2-200002-1-1-12-1-2-2110000002200-1-1-1-10000-2-21100-1-100000011
χ21222222-2-2222-1-12-2-2000022-1-122-1-1000000002211-1-1-2-2-1-100-2-200000011-1-1001100
χ22222222-2-2222-1-12-2-20000-2-2-1-122-1-100000000-2-21111-2-2-1-10022000000111100-1-100
χ23222222-2-222-122-1-2-22200002-1-1-12-122-1-1000000-2-20011-1-10000-2-2-1-1001100000011
χ24222222-2-222-122-1-2-2-2-200002-1-1-12-1-2-211000000-2-20011-1-1000022110011000000-1-1
χ2522-122-100-1-1222200222222-12-1-1-12-1-12222-1-1-1-1002200-1-1000000-1-1-1-100-1-1000000
χ2622-122-100-1-122220022-2-2-2-2-12-1-1-12-1-122-2-2111100-2-200-1-1000000-1-1110011000000
χ2722-122-100-1-1222200-2-222-2-2-12-1-1-1211-2-222-1-11100-2-200-1-100000011-1-10011000000
χ2822-122-100-1-1222200-2-2-2-222-12-1-1-1211-2-2-2-211-1-1002200-1-1000000111100-1-1000000
χ292-222-2-22i−2i2-22-11-22i−2i00002i−2i-1-12-211000000002i−2i−ii−ii2i−2i-11002-2000000−ii−ii00-1100
χ302-222-2-22i−2i2-22-11-22i−2i0000−2i2i-1-12-21100000000−2i2i−iii−i2i−2i-1100-22000000−iii−i001-100
χ312-222-2-22i−2i2-2-12-212i−2i2-200002-1-11-212-2-110000002i−2i00−ii-1100002i−2i-1100−ii000000−ii
χ322-222-2-22i−2i2-2-12-212i−2i-2200002-1-11-21-221-10000002i−2i00−ii-110000−2i2i1-100−ii000000i−i
χ332-222-2-2−2i2i2-22-11-2−2i2i00002i−2i-1-12-211000000002i−2ii−i−ii−2i2i-1100-22000000i−i−ii001-100
χ342-222-2-2−2i2i2-22-11-2−2i2i0000−2i2i-1-12-21100000000−2i2ii−ii−i−2i2i-11002-2000000i−ii−i00-1100
χ352-222-2-2−2i2i2-2-12-21−2i2i2-200002-1-11-212-2-11000000−2i2i00i−i-110000−2i2i-1100i−i000000i−i
χ362-222-2-2−2i2i2-2-12-21−2i2i-2200002-1-11-21-221-1000000−2i2i00i−i-1100002i−2i1-100i−i000000−ii
χ372-2-12-2100-1122-2-2002-22i−2i2i−2i-12-111-2-112-22i−2i−ii−ii002i−2i00-11000000-11−ii00−ii000000
χ382-2-12-2100-1122-2-2002-2−2i2i−2i2i-12-111-2-112-2−2i2ii−ii−i00−2i2i00-11000000-11i−i00i−i000000
χ392-2-12-2100-1122-2-200-222i−2i−2i2i-12-111-21-1-222i−2i−iii−i00−2i2i00-110000001-1−ii00i−i000000
χ402-2-12-2100-1122-2-200-22−2i2i2i−2i-12-111-21-1-22−2i2ii−i−ii002i−2i00-110000001-1i−i00−ii000000
χ414444444444-2-2-2-244000000-21-2-2-210000000000-2-200-2-21100000000001100000000
χ42444444-4-444-2-2-2-2-4-4000000-21-2-2-210000000000220022110000000000-1-100000000
χ4344-244-200-2-24-2-24000000441-2-2-21-200000000-2-200-2-2001100000000000011000000
χ4444-244-200-2-24-2-24000000-4-41-2-2-21-2000000002200220011000000000000-1-1000000
χ4544-244-200-2-2-244-200440000-2-211-2-2-2-2-2-20000000000001100000011000000000000
χ4644-244-200-2-2-244-200-4-40000-2-211-2-2222200000000000011000000-1-1000000000000
χ474-444-4-44i−4i4-4-2-2224i−4i000000-21-222-10000000000−2i2i00−2i2i1-10000000000i−i00000000
χ484-444-4-4−4i4i4-4-2-222−4i4i000000-21-222-100000000002i−2i002i−2i1-10000000000−ii00000000
χ494-4-24-4200-224-22-40000004i−4i1-2-22-1200000000−2i2i00−2i2i001-1000000000000i−i000000
χ504-4-24-4200-224-22-4000000−4i4i1-2-22-12000000002i−2i002i−2i001-1000000000000−ii000000
χ514-4-24-4200-22-24-42004-40000-2-21-122-22-220000000000001-10000001-1000000000000
χ524-4-24-4200-22-24-4200-440000-2-21-1222-22-20000000000001-1000000-11000000000000
χ53666-3-3666-3-30000-3-30022000000000000-1-122000000000022000000-1-10000-1-10000
χ54666-3-3666-3-30000-3-300-2-200000000000011-2-20000000000-2-2000000110000110000
χ55666-3-36-6-6-3-30000330022000000000000-1-1220000000000-2-2000000-1-10000110000
χ56666-3-36-6-6-3-300003300-2-200000000000011-2-2000000000022000000110000-1-10000
χ576-66-33-66i−6i-330000−3i3i002i−2i000000000000−ii2i−2i00000000002-2000000−ii0000-110000
χ586-66-33-66i−6i-330000−3i3i00−2i2i000000000000i−i−2i2i0000000000-22000000i−i00001-10000
χ596-66-33-6−6i6i-3300003i−3i002i−2i000000000000−ii2i−2i0000000000-22000000−ii00001-10000
χ606-66-33-6−6i6i-3300003i−3i00−2i2i000000000000i−i−2i2i00000000002-2000000i−i0000-110000
χ6188-488-400-4-4-4-4-4-4000000002222220000000000000000-1-100000000000000000000
χ628-8-48-8400-44-4-44400000000222-2-2-20000000000000000-1100000000000000000000
χ631212-6-6-6-600330000000044000000000000-2-2-2-2000000000000000000110000000000
χ641212-6-6-6-6003300000000-4-40000000000002222000000000000000000-1-10000000000
χ6512-12-6-666003-3000000004i−4i000000000000−2i2i−2i2i000000000000000000i−i0000000000
χ6612-12-6-666003-300000000−4i4i0000000000002i−2i2i−2i000000000000000000−ii0000000000

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