Finite Group Databasebeta

← Group #13048065

Character table — Group #13048065

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35
size12366666666612121212181827363636363636363654547281108108144216
order1323669991818186181818242612181818363636243261296
χ111111111111111111111111111111111111
χ2111111111111111111-111111111-1-11-1-1-11-1
χ31111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-111
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1111-1
χ522222222222222220020000000000-1200-1-1
χ6222222222222222200-20000000000-1-200-11
χ7222222-1-1-1-1-1-12-1-1-122022-1-1-1-1-1-1002000-10
χ8222222-1-1-1-1-1-12-1-1-1-2-20-2-2111111002000-10
χ933-13-1-1333-1-1-1-1-1-1-11-131-1111-1-1-11-10-11-100
χ1033-13-1-1333-1-1-1-1-1-1-11-1-31-1111-1-1-1-1101-1100
χ1133-13-1-1333-1-1-1-1-1-1-1-113-11-1-1-1111-110-1-1100
χ1233-13-1-1333-1-1-1-1-1-1-1-11-3-11-1-1-11111-1011-100
χ13444444-2-2-2-2-2-24-2-2-20000000000000-200010
χ14666-36-3000000-3000000000000002200-1-100
χ15666-36-3000000-300000000000000-2-2001100
χ1666-26-2-2-3-3-3111-21112-202-2-1-1-111100000000
χ1766-26-2-2-3-3-3111-2111-220-22111-1-1-100000000
χ1866-2-3-210004441-2-2-2000000000002-200-1100
χ1966-2-3-210004441-2-2-200000000000-22001-100
χ206-360-302ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ502ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5220-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ500000000
χ216-360-302ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ502ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5-2-2011−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000000
χ226-360-30−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ50−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5220-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ700000000
χ236-360-30−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ50−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5-2-2011−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000000
χ246-360-30−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ50−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5220-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ800000000
χ256-360-30−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ50−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5-2-2011−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000000
χ266-3-20142ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5−2ζ+2ζ2+ζ4+3ζ5−ζ+ζ2−3ζ4−2ζ53ζ−3ζ2+2ζ4−ζ5-2−ζ4−ζ5−ζ2−ζ7−ζ−ζ82-20-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ500000000
χ276-3-20142ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5−2ζ+2ζ2+ζ4+3ζ5−ζ+ζ2−3ζ4−2ζ53ζ−3ζ2+2ζ4−ζ5-2−ζ4−ζ5−ζ2−ζ7−ζ−ζ8-2201-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ500000000
χ286-3-2014−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2−3ζ4−2ζ53ζ−3ζ2+2ζ4−ζ5−2ζ+2ζ2+ζ4+3ζ5-2−ζ2−ζ7−ζ−ζ8−ζ4−ζ52-20-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ700000000
χ296-3-2014−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2−3ζ4−2ζ53ζ−3ζ2+2ζ4−ζ5−2ζ+2ζ2+ζ4+3ζ5-2−ζ2−ζ7−ζ−ζ8−ζ4−ζ5-2201-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ700000000
χ306-3-2014−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ53ζ−3ζ2+2ζ4−ζ5−2ζ+2ζ2+ζ4+3ζ5−ζ+ζ2−3ζ4−2ζ5-2−ζ−ζ8−ζ4−ζ5−ζ2−ζ72-20-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ800000000
χ316-3-2014−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ53ζ−3ζ2+2ζ4−ζ5−2ζ+2ζ2+ζ4+3ζ5−ζ+ζ2−3ζ4−2ζ5-2−ζ−ζ8−ζ4−ζ5−ζ2−ζ7-2201-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ800000000
χ321212-4-6-42000-4-4-422220000000000000000000
χ3312-6-402-44ζ−4ζ2+2ζ4−2ζ5−2ζ+2ζ2+2ζ4+4ζ5−2ζ+2ζ2−4ζ4−2ζ5−2ζ4−2ζ5−2ζ2−2ζ7−2ζ−2ζ82−2ζ−2ζ8−2ζ4−2ζ5−2ζ2−2ζ70000000000000000000
χ3412-6-402-4−2ζ+2ζ2+2ζ4+4ζ5−2ζ+2ζ2−4ζ4−2ζ54ζ−4ζ2+2ζ4−2ζ5−2ζ2−2ζ7−2ζ−2ζ8−2ζ4−2ζ52−2ζ4−2ζ5−2ζ2−2ζ7−2ζ−2ζ80000000000000000000
χ3512-6-402-4−2ζ+2ζ2−4ζ4−2ζ54ζ−4ζ2+2ζ4−2ζ5−2ζ+2ζ2+2ζ4+4ζ5−2ζ−2ζ8−2ζ4−2ζ5−2ζ2−2ζ72−2ζ2−2ζ7−2ζ−2ζ8−2ζ4−2ζ50000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1).