Finite Group Databasebeta

← Group #11781274

Character table — Group #11781274

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size11248899161818181818181824243236363636363636363636484848727296144
order124236221244488888862444888888224248864
χ1111111111111111111111111111111111111
χ21111111111111111-1-111111111111-1-1-1-1-1-1-1
χ3111111111111-1-1-1-11111111-1-1-1-1-1-1111-1-11-1
χ4111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-11
χ5111-111111111111111-1-1-1-1111-1-1-1-1-11111-1-1
χ6111-1111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-1-111
χ7111-111111111-1-1-1-111-1-1-1-11-1-11111-111-1-1-11
χ8111-111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1111-1
χ9222222222-22-200000022-2-2-20000000000000
χ10222222-2-220-20i2i2−i2−i2002-2000i2−i2i2i2−i2−i20000000
χ11222222-2-220-20−i2−i2i2i2002-2000−i2i2−i2−i2i2i20000000
χ12222-222222-22-2000000-2-222-20000000000000
χ13222-222-2-220-20i2i2−i2−i200-22000i2−i2−i2−i2i2i20000000
χ14222-222-2-220-20−i2−i2i2i200-22000−i2i2i2i2−i2−i20000000
χ1522-202222-22-222222000000-2-2-200000000000
χ1622-202222-22-22-2-2-2-2000000-22200000000000
χ1722-202222-2-2-2-200000000002002i−2i2i−2i0000000
χ1822-202222-2-2-2-20000000000200−2i2i−2i2i0000000
χ1922-2022-2-2-2020i2i2−i2−i200002i−2i0−i2i22−2−220000000
χ2022-2022-2-2-2020i2i2−i2−i20000−2i2i0−i2i2−222−20000000
χ2122-2022-2-2-2020−i2−i2i2i200002i−2i0i2−i2−222−20000000
χ2222-2022-2-2-2020−i2−i2i2i20000−2i2i0i2−i22−2−220000000
χ232-2002-22-2020-22i−2i2i−2i2−20000000000002−2i2−i200
χ242-2002-22-2020-22i−2i2i−2i−22000000000000−22−i2i200
χ252-2002-22-2020-2−2i2i−2i2i2−20000000000002−2−i2i200
χ262-2002-22-2020-2−2i2i−2i2i−22000000000000−22i2−i200
χ274-4004-44-40-404000000000000000000000000
χ284-4004-4-44000022−22−222200000000000000000000
χ294-4004-4-440000−222222−2200000000000000000000
χ308888-1-100-1000000022-100000000002-1-100-10
χ318888-1-100-10000000-2-2-10000000000-2110010
χ32888-8-1-100-100000002210000000000-2-1-10010
χ33888-8-1-100-10000000-2-21000000000021100-10
χ341616-160-2-2002000000000000000000000000000
χ3516-1600-22000000000022−22000000000000−220000
χ3616-1600-220000000000−22220000000000002−20000

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