Finite Group Databasebeta

← Group #150922

Character table — Group #150922

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122224448888888888816161616161616161616161616323232323232
order12222244444224444444444888888888888448888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-111111-1-1-1-11111iiii−i−i−i−i-1-1ii−i−i
χ611111111111-1-1-111111-1-1-1-11111−i−i−i−iiiii-1-1−i−iii
χ711111111111-1-1-111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ811111111111-1-1-111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-11-1111-1-111-1-1-1-1-1111-1-1ii−i−iii−i−i1-1i−ii−i
χ10111111-1-11-1111-1-111-1-1-1-1-1111-1-1−i−iii−i−iii1-1−ii−ii
χ11111111-1-11-1111-1-111-1-1-1-1-11-1-111ii−i−iii−i−i-11−ii−ii
χ12111111-1-11-1111-1-111-1-1-1-1-11-1-111−i−iii−i−iii-11i−ii−i
χ13111111-1-11-11-1-11-111-1-1111-111-1-111-1-1-1-111-111-1-11
χ14111111-1-11-11-1-11-111-1-1111-111-1-1-1-11111-1-1-11-111-1
χ15111111-1-11-11-1-11-111-1-1111-1-1-11111-1-1-1-1111-1-111-1
χ16111111-1-11-11-1-11-111-1-1111-1-1-111-1-11111-1-11-11-1-11
χ172222222222222-22-2-2-2-222-2-2000000000000000000
χ1822222222222-2-222-2-2-2-2-2-222000000000000000000
χ19222222-2-22-22222-2-2-222-2-22-2000000000000000000
χ20222222-2-22-22-2-2-2-2-2-22222-22000000000000000000
χ2122-2-22-20020-22-220002-200-2000002−22−22−22−2000000
χ2222-2-22-20020-22-220002-200-200000−22−22−22−22000000
χ2322-2-22-20020-22-2-2000-2200200000i2−i2−i2i2i2−i2−i2i2000000
χ2422-2-22-20020-22-2-2000-2200200000−i2i2i2−i2−i2i2i2−i2000000
χ2522-2-22-20020-2-222000-2200-2000002−2−22−222−2000000
χ2622-2-22-20020-2-222000-2200-200000−222−22−2−22000000
χ2722-2-22-20020-2-22-20002-200200000i2−i2i2−i2−i2i2−i2i2000000
χ2822-2-22-20020-2-22-20002-200200000−i2i2−i2i2i2−i2i2−i2000000
χ2944444444-44-4000-400000000000000000000000000
χ30444444-4-4-4-4-4000400000000000000000000000000
χ314444-4-4440-400000000000002-22-200000000000000
χ324444-4-4440-40000000000000-22-2200000000000000
χ334444-4-4-4-40400000000000002-2-2200000000000000
χ344444-4-4-4-4040000000000000-222-200000000000000
χ3544-4-44-400-404000000004i−4i00000000000000000000
χ3644-4-44-400-40400000000−4i4i00000000000000000000
χ3788-8-8-8800000000000000000000000000000000000
χ388-88-8008-8000000000000000000000000000000000
χ398-88-800-88000000000000000000000000000000000
χ408-8-88000000000004-4000000000000000000000000
χ418-8-8800000000000-44000000000000000000000000

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