Finite Group Databasebeta

← Group #152944

Character table — Group #152944

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size112222244444888888888816161616161616161616161616323232323232
order12244882444822444888884444888888888448888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11-1-1111-1-1ii−i−i-11111ii−i−i-1-1ii−i−i
χ6111111111111-1-11-1-1111-1-1ii−i−i-1-1-1-1-1ii−i−i11−i−iii
χ7111111111111-1-11-1-1111-1-1−i−iii-11111−i−iii-1-1−i−iii
χ8111111111111-1-11-1-1111-1-1−i−iii-1-1-1-1-1−i−iii11ii−i−i
χ911111-1-11111-111111-1-1-1-1-11111-111-1-1-1-1-1-11-11-11-1
χ1011111-1-11111-111111-1-1-1-1-11111-1-1-111-1-1-1-1-11-11-11
χ1111111-1-11111-111111-1-1-1-1-1-1-1-1-1-111-1-111111-1-11-11
χ1211111-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-11-1
χ1311111-1-11111-1-1-11-1-1-1-1-111ii−i−i111-1-1−i−iii-11i−i−ii
χ1411111-1-11111-1-1-11-1-1-1-1-111ii−i−i1-1-111−i−iii1-1−iii−i
χ1511111-1-11111-1-1-11-1-1-1-1-111−i−iii111-1-1ii−i−i-11−iii−i
χ1611111-1-11111-1-1-11-1-1-1-1-111−i−iii1-1-111ii−i−i1-1i−i−ii
χ1722222222-2-2222-2-2-22-2-22-2-20000200000000000000
χ1822222222-2-222-22-22-2-2-22220000-200000000000000
χ1922222-2-22-2-22-22-2-2-2222-2220000-200000000000000
χ2022222-2-22-2-22-2-22-22-222-2-2-20000200000000000000
χ21222-2-200-2222022-2-2-2000000000000002i−2i2i−2i000000
χ22222-2-200-2222022-2-2-200000000000000−2i2i−2i2i000000
χ23222-2-200-22220-2-2-222000000000000002-2-22000000
χ24222-2-200-22220-2-2-22200000000000000-222-2000000
χ25222-2-200-2-2-2202-222-2000002i−2i2i−2i000000000000000
χ26222-2-200-2-2-2202-222-200000−2i2i−2i2i000000000000000
χ27222-2-200-2-2-220-222-22000002-2-22000000000000000
χ28222-2-200-2-2-220-222-2200000-222-2000000000000000
χ294444444-400-440000000-4000000000000000000000
χ3044444-4-4-400-4-400000004000000000000000000000
χ31444-4-400400-40000000004i−4i0000000000000000000
χ32444-4-400400-4000000000−4i4i0000000000000000000
χ3344-4-44440000-40000000000000002-22-20000000000
χ3444-4-44440000-4000000000000000-22-220000000000
χ3544-4-44-4-4000040000000000000002-2-220000000000
χ3644-4-44-4-400004000000000000000-222-20000000000
χ3788-88-8000000000000000000000000000000000000
χ388-800042−4204-4000000022−220000000000000000000000
χ398-800042−420-440000000−22220000000000000000000000
χ408-8000−424204-40000000−22220000000000000000000000
χ418-8000−42420-44000000022−220000000000000000000000

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