Finite Group Databasebeta

← Group #150809

Character table — Group #150809

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222244444444224444422444488888888888888
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
χ5111111111-1-11-1-1111-1-1-1-1111-111iiii−i−i−i−i-1-1ii−i−i
χ6111111111-1-11-1-1111-1-1-1-1111-111−i−i−i−iiiii-1-1−i−iii
χ7111111111-1-11-1-1111-1-1-1-1-1-11-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111-1-11-1-1111-1-1-1-1-1-11-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1111111-1-1-11-1-111-11-11-111-1-111-1-11-11-11-1
χ10111111-1-1111111-1-1-11-1-111-11-11-1-1-111-1-1111-1-11-11
χ11111111-1-1111111-1-1-11-1-11-111-1-1111-1-111-1-1-11-11-11
χ12111111-1-1111111-1-1-11-1-11-111-1-11-1-111-1-111-111-11-1
χ13111111-1-11-1-11-1-1-1-1-1-111-11-1111-1ii−i−i−i−iii-11i−i−ii
χ14111111-1-11-1-11-1-1-1-1-1-111-11-1111-1−i−iiiii−i−i-11−iii−i
χ15111111-1-11-1-11-1-1-1-1-1-111-1-1111-11ii−i−i−i−iii1-1−iii−i
χ16111111-1-11-1-11-1-1-1-1-1-111-1-1111-11−i−iiiii−i−i1-1i−i−ii
χ1722222222222222-2-22-222-200-2-20000000000000000
χ18222222222-2-22-2-2-2-222-2-2200-220000000000000000
χ19222222-2-222222222-2-2-2-2-200-220000000000000000
χ20222222-2-22-2-22-2-222-2222200-2-20000000000000000
χ212-2-222-200-2002002-2022-2-2000000i2−i2i2−i2i2−i2i2−i2000000
χ222-2-222-200-2002002-2022-2-2000000−i2i2−i2i2−i2i2−i2i2000000
χ232-2-222-200-2002002-20-2-2220000002−22−2−22−22000000
χ242-2-222-200-2002002-20-2-222000000−22−222−22−2000000
χ252-2-222-200-200200-2202-22-2000000i2−i2−i2i2i2−i2−i2i2000000
χ262-2-222-200-200200-2202-22-2000000−i2i2i2−i2−i2i2i2−i2000000
χ272-2-222-200-200200-220-22-220000002−2−22−222−2000000
χ282-2-222-200-200200-220-22-22000000−222−22−2−22000000
χ2944444444-400-40000-4000000000000000000000000
χ30444444-4-4-400-400004000000000000000000000000
χ314444-4-44-400000000000002200-2-200000000000000
χ324444-4-44-40000000000000-2-2002200000000000000
χ334444-4-4-4400000000000002-200-2200000000000000
χ344444-4-4-440000000000000-22002-200000000000000
χ354-4-444-40044i−4i-44i−4i000000000000000000000000000
χ364-4-444-4004−4i4i-4−4i4i000000000000000000000000000
χ3788-8-8000004i−4i0−4i4i000000000000000000000000000
χ3888-8-800000−4i4i04i−4i000000000000000000000000000
χ398-88-800000440-4-4000000000000000000000000000
χ408-88-800000-4-4044000000000000000000000000000
χ418-8-88-8800000000000000000000000000000000000

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