Finite Group Databasebeta

← Group #180753

Character table — Group #180753

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444444424444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ911111111111111-1-1-1-1111-1-1-11-111-1-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-1111-1-1-11-111-1-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-111-11-1-1-11-1-11111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-111-11-1-1-11-1-111-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-1-11-1111-1-1-11111-1-1-1-111-1-1111-1
χ1411111111111111-1-1-1-1-1-11-1111-1-1-111-1-11111-1-111-1-1-11
χ1511111111111111-1-1-1-1-1-1-1111-1111-1-111-1-1-1-11111-1-1-11
χ1611111111111111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-1-1111-1
χ17222222222-2-2-22-22-22-2000000002-22-200000000000000
χ18222222222-2-2-22-22-22-200000000-22-2200000000000000
χ19222222222-2-2-22-2-22-22000000002-2-2200000000000000
χ20222222222-2-2-22-2-22-2200000000-222-200000000000000
χ2122222222-22-2-2-222-2-222-2002-200000000000000000000
χ2222222222-22-2-2-222-2-22-2200-2200000000000000000000
χ2322222222-22-2-2-22-222-22-200-2200000000000000000000
χ2422222222-22-2-2-22-222-2-22002-200000000000000000000
χ2522222222-2-222-2-222-2-2002-200-22000000000000000000
χ2622222222-2-222-2-222-2-200-22002-2000000000000000000
χ2722222222-2-222-2-2-2-222002200-2-2000000000000000000
χ2822222222-2-222-2-2-2-22200-2-20022000000000000000000
χ29444-4-44-4-44000-400000000000000000000000000022−2200
χ30444-4-44-4-44000-4000000000000000000000000000−222200
χ31444-4-44-4-4-4000400000000000000000000000002i2−2i20000
χ32444-4-44-4-4-400040000000000000000000000000−2i22i20000
χ334-4444-4-4-4004-4000000000000000000000022−2200000000
χ344-4444-4-4-4004-40000000000000000000000−222200000000
χ354-4444-4-4-400-4400000000000000000000000022−22000000
χ364-4444-4-4-400-44000000000000000000000000−2222000000
χ374-4-44-444-404000-400000000000000002i2−2i2000000000000
χ384-4-44-444-404000-40000000000000000−2i22i2000000000000
χ394-4-44-444-40-4000400000000000000000022−220000000000
χ404-4-44-444-40-40004000000000000000000−22220000000000
χ4188-88-8-8-88000000000000000000000000000000000000
χ4288-8-88-88-8000000000000000000000000000000000000
χ438-88-8-8-888000000000000000000000000000000000000
χ448-8-8-888-88000000000000000000000000000000000000

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