Finite Group Databasebeta

← Group #330997

Character table — Group #330997

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222222444488881616161616161616161616161616161616161616161616163232
order12222244444444244424448888888888888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ911111111111111-1-1-1-11-11-11111-1-111-1-1-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-11-11-111-1-1-1-111-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-11-1-1-11111-1-111-1-1-1-111-1-1111-1
χ1211111111111111-1-1-1-11-11-1-1-1-1-111-1-1111111-1-111-1-1-11
χ1311111111111111-1-1-1-1-11-111111-1-1-1-111-1-111-1-1-1-111-11
χ1411111111111111-1-1-1-1-11-1111-1-1-1-1-1-11111-1-11111-1-11-1
χ1511111111111111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-11111-1-1-11
χ1611111111111111-1-1-1-1-11-11-1-1-1-11111-1-11111-1-1-1-1111-1
χ172222222222-2-2-2-22-22-22-2-220000000000000000000000
χ182222222222-2-2-2-22-22-2-222-20000000000000000000000
χ192222222222-2-2-2-2-22-2222-2-20000000000000000000000
χ202222222222-2-2-2-2-22-22-2-2220000000000000000000000
χ21222222-2-2-2-222-2-22-2-2200002i−2i002i−2i0000000000000000
χ22222222-2-2-2-222-2-22-2-220000−2i2i00−2i2i0000000000000000
χ23222222-2-2-2-222-2-2-222-200002i−2i00−2i2i0000000000000000
χ24222222-2-2-2-222-2-2-222-20000−2i2i002i−2i0000000000000000
χ25222222-2-2-2-2-2-22222-2-200000000002i−2i2i−2i000000000000
χ26222222-2-2-2-2-2-22222-2-20000000000−2i2i−2i2i000000000000
χ27222222-2-2-2-2-2-222-2-22200000000002i−2i−2i2i000000000000
χ28222222-2-2-2-2-2-222-2-2220000000000−2i2i2i−2i000000000000
χ294444-4-44-44-44-44-4000000000000000000000000000000
χ304444-4-44-44-4-44-44000000000000000000000000000000
χ314444-4-4-44-444-4-44000000000000000000000000000000
χ324444-4-4-44-44-444-4000000000000000000000000000000
χ334-44-44-444-4-400000000000000000000000022−2200000000
χ344-44-44-444-4-4000000000000000000000000−222200000000
χ354-44-44-4-4-444000000000000000000000000002i2−2i2000000
χ364-44-44-4-4-44400000000000000000000000000−2i22i2000000
χ374-44-4-444-4-4400000000000000000000000000002i2−2i20000
χ384-44-4-444-4-440000000000000000000000000000−2i22i20000
χ394-44-4-44-444-40000000000000000000000000000002i2−2i200
χ404-44-4-44-444-4000000000000000000000000000000−2i22i200
χ4188-8-8000000000000000000000000000022−220000000000
χ4288-8-80000000000000000000000000000−22220000000000
χ438-8-880000000000000000000022−22000000000000000000
χ448-8-8800000000000000000000−2222000000000000000000

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