Finite Group Databasebeta

← Group #150896

Character table — Group #150896

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222244444444444444444444488888888888888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111-1-111-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-1111-11-1-1-1111-111iiii−i−i−i−i-1-1ii−i−i
χ6111111111-1-1-1-1111-11-1-1-1111-111−i−i−i−iiiii-1-1−i−iii
χ7111111111-1-1-1-1111-11-1-1-1-1-11-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111-1-1-1-1111-11-1-1-1-1-11-1-1-1−i−i−i−iiiii11ii−i−i
χ91111111-1-111111-1-11-1-1-111-11-11-111-1-111-1-11-11-11-1
χ101111111-1-111111-1-11-1-1-111-11-11-1-1-111-1-1111-1-11-11
χ111111111-1-111111-1-11-1-1-11-111-1-1111-1-111-1-1-11-11-11
χ121111111-1-111111-1-11-1-1-11-111-1-11-1-111-1-111-111-11-1
χ131111111-1-1-1-1-1-11-1-1-1-111-11-1111-1ii−i−i−i−iii-11i−i−ii
χ141111111-1-1-1-1-1-11-1-1-1-111-11-1111-1−i−iiiii−i−i-11−iii−i
χ151111111-1-1-1-1-1-11-1-1-1-111-1-1111-11ii−i−i−i−iii1-1−iii−i
χ161111111-1-1-1-1-1-11-1-1-1-111-1-1111-11−i−iiiii−i−i1-1i−i−ii
χ1722222222222222-2-2-2222-200-2-20000000000000000
χ18222222222-2-2-2-22-2-222-2-2200-220000000000000000
χ192222222-2-22222222-2-2-2-2-200-220000000000000000
χ202222222-2-2-2-2-2-22222-222200-2-20000000000000000
χ2122-2-22-22000000-22-2202-2-20000002−22−22−22−2000000
χ2222-2-22-22000000-22-2202-2-2000000−22−22−22−22000000
χ2322-2-22-22000000-22-2-20-222000000i2−i2i2−i2−i2i2−i2i2000000
χ2422-2-22-22000000-22-2-20-222000000−i2i2−i2i2i2−i2i2−i2000000
χ2522-2-22-22000000-2-2220-22-20000002−2−222−2−22000000
χ2622-2-22-22000000-2-2220-22-2000000−222−2−222−2000000
χ2722-2-22-22000000-2-22-202-22000000i2−i2−i2i2−i2i2i2−i2000000
χ2822-2-22-22000000-2-22-202-22000000−i2i2i2−i2i2−i2−i2i2000000
χ29444444-4440000-4000-400000000000000000000000
χ30444444-4-4-40000-4000400000000000000000000000
χ314444-4-404-40000000000002200-2-200000000000000
χ324444-4-404-4000000000000-2-2002200000000000000
χ334444-4-40-440000000000002-200-2200000000000000
χ344444-4-40-44000000000000-22002-200000000000000
χ3544-4-44-4-4004i4i−4i−4i4000000000000000000000000000
χ3644-4-44-4-400−4i−4i4i4i4000000000000000000000000000
χ3788-8-8-8800000000000000000000000000000000000
χ388-88-8000004-44-40000000000000000000000000000
χ398-88-800000-44-440000000000000000000000000000
χ408-8-88000004i−4i−4i4i0000000000000000000000000000
χ418-8-8800000−4i4i4i−4i0000000000000000000000000000

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