Finite Group Databasebeta

← Group #72983

Character table — Group #72983

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30
size113366121212121224243232113366121212121224243232
order122244488884436222244488884466
χ1111111111111111111111111111111
χ21111111-1-1-1-1-1-1111111111-1-1-1-1-1-111
χ32222222000000-1-12222222000000-1-1
χ42-22-200022−2−200-112-22-200022−2−200-11
χ52-22-2000−2−22200-112-22-2000−2−22200-11
χ63333-1-1-11111-1-1003333-1-1-11111-1-100
χ73333-1-1-1-1-1-1-111003333-1-1-1-1-1-1-11100
χ833-1-1−1+2i−1−2i1i−ii−i-110033-1-1−1+2i−1−2i1i−ii−i-1100
χ933-1-1−1+2i−1−2i1−ii−ii1-10033-1-1−1+2i−1−2i1−ii−ii1-100
χ1033-1-1−1−2i−1+2i1i−ii−i1-10033-1-1−1−2i−1+2i1i−ii−i1-100
χ1133-1-1−1−2i−1+2i1−ii−ii-110033-1-1−1−2i−1+2i1−ii−ii-1100
χ124-44-40000000001-14-44-40000000001-1
χ1366-2-222-20000000066-2-222-200000000
χ146-6-22000i2−i2−i2i200006-6-22000i2−i2−i2i20000
χ156-6-22000−i2i2i2−i200006-6-22000−i2i2i2−i20000
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ171111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1
χ182222222000000-1-1-2-2-2-2-2-2-200000011
χ192-22-200022−2−200-11-22-22000−2−222001-1
χ202-22-2000−2−22200-11-22-2200022−2−2001-1
χ213333-1-1-11111-1-100-3-3-3-3111-1-1-1-11100
χ223333-1-1-1-1-1-1-11100-3-3-3-31111111-1-100
χ2333-1-1−1+2i−1−2i1i−ii−i-1100-3-3111−2i1+2i-1−ii−ii1-100
χ2433-1-1−1+2i−1−2i1−ii−ii1-100-3-3111−2i1+2i-1i−ii−i-1100
χ2533-1-1−1−2i−1+2i1i−ii−i1-100-3-3111+2i1−2i-1−ii−ii-1100
χ2633-1-1−1−2i−1+2i1−ii−ii-1100-3-3111+2i1−2i-1i−ii−i1-100
χ274-44-40000000001-1-44-44000000000-11
χ2866-2-222-200000000-6-622-2-2200000000
χ296-6-22000i2−i2−i2i20000-662-2000−i2i2i2−i20000
χ306-6-22000−i2i2i2−i20000-662-2000i2−i2−i2i20000

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