Finite Group Databasebeta

← Group #149882

Character table — Group #149882

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size111122448888888888888816161616161616163232323232323232
order12222244444444444488884444448888888888
χ111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−i
χ611111111111111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii
χ711111111111111-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii
χ811111111111111-1-1-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i
χ911111111-1-1-1-11111111111-1-1-1-111-1-11-11-11-11-1
χ1011111111-1-1-1-11111111111-1-1-1-111-1-1-11-11-11-11
χ1111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-11-1-11-11
χ1211111111-1-1-1-1111111-1-1-1-1-1-111-1-111-11-111-11-1
χ1311111111-1-1-1-111-1-1-1-111111111-1-1-1-1i−i−iii−i−ii
χ1411111111-1-1-1-111-1-1-1-111111111-1-1-1-1−iii−i−iii−i
χ1511111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111i−i−ii−iii−i
χ1611111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111−iii−ii−i−ii
χ172222222222-2-2-2-222-2-200002-200000000000000
χ182222222222-2-2-2-2-2-2220000-2200000000000000
χ1922222222-2-222-2-222-2-20000-2200000000000000
χ2022222222-2-222-2-2-2-22200002-200000000000000
χ212-22-2-222-200002-22i−2i2i−2i0000002i−2i002-200000000
χ222-22-2-222-200002-22i−2i2i−2i000000−2i2i00-2200000000
χ232-22-2-222-200002-2−2i2i−2i2i0000002i−2i00-2200000000
χ242-22-2-222-200002-2−2i2i−2i2i000000−2i2i002-200000000
χ252-22-2-222-20000-222i−2i−2i2i2i2i−2i−2i00002-20000000000
χ262-22-2-222-20000-222i−2i−2i2i−2i−2i2i2i0000-220000000000
χ272-22-2-222-20000-22−2i2i2i−2i2i2i−2i−2i0000-220000000000
χ282-22-2-222-20000-22−2i2i2i−2i−2i−2i2i2i00002-20000000000
χ29444444-4-44-40000000000000000000000000000
χ30444444-4-4-440000000000000000000000000000
χ314-44-4-44-44004i−4i00000000000000000000000000
χ324-44-4-44-4400−4i4i00000000000000000000000000
χ338888-8-800000000000000000000000000000000
χ3488-8-80000000000000022−2222−220000000000000000
χ3588-8-800000000000000−2222−22220000000000000000
χ368-88-88-800000000000000000000000000000000
χ378-8-88000000000000002i2−2i2−2i22i20000000000000000
χ388-8-8800000000000000−2i22i22i2−2i20000000000000000

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