Finite Group Databasebeta

← Group #180766

Character table — Group #180766

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444244422444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-1-11-1-1-11-1-111111111-1-1-1-1-1-1
χ41111111111111111111-11-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-11-11-1-11-1-1-11-11111-1-1-1-11111-1-1
χ6111111111111111111-11-11-1-11-1-1-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-11-1-111-1-111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11-1-111-1-11-1-1-1-111111111-1-1
χ911111111111111-1-1-1-1111-1-1-1-11-1-11111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-1111-1-1-1-11-1-111-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-1111-11-11-1-1-111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-11-1111-11-11-1-1-1-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-11-1-111-1-1111-111-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-1-11-1-111-1-1111-1-1-11111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-1-11-1111-11-1111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-1-1-11-1111-11-11-1-11111-1-111-1-1-11
χ17222222222-2-22-2-222-2-20000200-2-200200000000000000
χ18222222222-2-22-2-222-2-20000-2002200-200000000000000
χ19222222222-2-22-2-2-2-22200002002-200-200000000000000
χ20222222222-2-22-2-2-2-2220000-200-2200200000000000000
χ2122222222-22-2-22-22-22-2020-2002000-2000000000000000
χ2222222222-22-2-22-22-22-20-20200-20002000000000000000
χ2322222222-22-2-22-2-22-22020200-2000-2000000000000000
χ2422222222-22-2-22-2-22-220-20-20020002000000000000000
χ2522222222-2-22-2-222-2-2220-2002000-20000000000000000
χ2622222222-2-22-2-222-2-22-20200-200020000000000000000
χ2722222222-2-22-2-22-222-220-200-200020000000000000000
χ2822222222-2-22-2-22-222-2-202002000-20000000000000000
χ29444-44-4-4-40400-4000000000000000000000000022−220000
χ30444-44-4-4-40400-40000000000000000000000000−22220000
χ31444-44-4-4-40-40040000000000000000000000000002i2−2i200
χ32444-44-4-4-40-4004000000000000000000000000000−2i22i200
χ3344-4-4-44-4400400-400000000000000002i2−2i2000000000000
χ3444-4-4-44-4400400-40000000000000000−2i22i2000000000000
χ3544-4-4-44-4400-400400000000000000000022−220000000000
χ3644-4-4-44-4400-4004000000000000000000−22220000000000
χ374-44-4-4-444400-400000000000000000000002i2−2i200000000
χ384-44-4-4-444400-40000000000000000000000−2i22i200000000
χ394-44-4-4-444-400400000000000000000000000022−22000000
χ404-44-4-4-444-4004000000000000000000000000−2222000000
χ4188-88-8-88-8000000000000000000000000000000000000
χ428-888-88-8-8000000000000000000000000000000000000
χ438-8-888-8-88000000000000000000000000000000000000
χ448-8-8-8888-8000000000000000000000000000000000000

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