Finite Group Databasebeta

← Group #180758

Character table — Group #180758

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444244422244444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1-1-11-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-11-1-1-111-1-1-11-11111-1-1-1-11111-1-1
χ6111111111111111111-11-1-1-111-1-1-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-111-1-111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-111-1-11-1-1-1-111111111-1-1
χ911111111111111-1-1-1-11111-11-1-1-1-1-1111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-11111-11-1-1-1-1-11-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-1-11-1-1111-11-111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-11-1-11-1-1111-11-1-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-11-1-111-1111-1-111-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-1-11-1-111-1111-1-1-1-11111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-11-11-11-1-111111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-1-11-11-11-1-1111-1-11111-1-111-1-1-11
χ17222222222-2-22-2-222-2-202000-22000-2000000000000000
χ18222222222-2-22-2-222-2-20-20002-20002000000000000000
χ19222222222-2-22-2-2-2-22202000-2-20002000000000000000
χ20222222222-2-22-2-2-2-2220-200022000-2000000000000000
χ2122222222-22-2-22-22-22-2200-2-2000020000000000000000
χ2222222222-22-2-22-22-22-2-200220000-20000000000000000
χ2322222222-22-2-22-2-22-22200-220000-20000000000000000
χ2422222222-22-2-22-2-22-22-2002-2000020000000000000000
χ2522222222-2-22-2-222-2-2200200002-200-200000000000000
χ2622222222-2-22-2-222-2-2200-20000-2200200000000000000
χ2722222222-2-22-2-22-222-20020000-2200-200000000000000
χ2822222222-2-22-2-22-222-200-200002-200200000000000000
χ294-444-4-44-400400-400000000000000000000002i2−2i2000000
χ304-444-4-44-400400-40000000000000000000000−2i22i2000000
χ314-444-4-44-400-40040000000000000000000022−2200000000
χ324-444-4-44-400-400400000000000000000000−222200000000
χ334-44-44-4-440400-4000000000000000002i2−2i2000000000000
χ344-44-44-4-440400-400000000000000000−2i22i2000000000000
χ354-44-44-4-440-4004000000000000000000022−220000000000
χ364-44-44-4-440-40040000000000000000000−22220000000000
χ374-4-44-44-44400-4000000000000000000000000002i2−2i20000
χ384-4-44-44-44400-400000000000000000000000000−2i22i20000
χ394-4-44-44-44-4004000000000000000000000000000022−2200
χ404-4-44-44-44-40040000000000000000000000000000−222200
χ41888-8-88-8-8000000000000000000000000000000000000
χ4288-888-8-8-8000000000000000000000000000000000000
χ4388-8-8-8-888000000000000000000000000000000000000
χ448-8-8-8888-8000000000000000000000000000000000000

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