Finite Group Databasebeta

← Group #180730

Character table — Group #180730

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444444424444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-1-1-11-11-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111-11-1-1-11-11-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-11-11-1-1-11-11-1-111111111-1-1-1-1-1-1
χ6111111111111111111-11-11-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111
χ911111111111111-1-1-1-111-1-11-1-111-11-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-111-1-11-1-111-11-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-1-11-11-1-111-1111-1-1-1-111-1-1111-1
χ1211111111111111-1-1-1-11-1-11-11-1-111-11-1-11111-1-111-1-1-11
χ1311111111111111-1-1-1-1-111-1-1111-1-1-1111-1-111-1-1-1-111-11
χ1411111111111111-1-1-1-1-111-1-1111-1-1-11-1-111-1-11111-1-11-1
χ1511111111111111-1-1-1-1-1-1111-11-1-111-111-1-1-1-11111-1-1-11
χ1611111111111111-1-1-1-1-1-1111-11-1-111-1-1-11111-1-1-1-1111-1
χ17222222222-2-2-22-222-2-20000220000-2-200000000000000
χ18222222222-2-2-22-222-2-20000-2-200002200000000000000
χ19222222222-2-2-22-2-2-22200002-20000-2200000000000000
χ20222222222-2-2-22-2-2-2220000-2200002-200000000000000
χ2122222222-22-2-2-222-22-20202000-20-20000000000000000
χ2222222222-22-2-2-222-22-20-20-20002020000000000000000
χ2322222222-22-2-2-22-22-22020-2000-2020000000000000000
χ2422222222-22-2-2-22-22-220-20200020-20000000000000000
χ2522222222-2-222-2-22-2-2220-200020-200000000000000000
χ2622222222-2-222-2-22-2-22-202000-20200000000000000000
χ2722222222-2-222-2-2-222-2202000-20-200000000000000000
χ2822222222-2-222-2-2-222-2-20-200020200000000000000000
χ294-44-4-444-4004-40000000000000000000000002i2−2i2000000
χ304-44-4-444-4004-4000000000000000000000000−2i22i2000000
χ314-44-4-444-400-4400000000000000000000002i2−2i200000000
χ324-44-4-444-400-440000000000000000000000−2i22i200000000
χ334-4-44-44-4404000-40000000000000000002i2−2i20000000000
χ344-4-44-44-4404000-4000000000000000000−2i22i20000000000
χ354-4-44-44-440-40004000000000000000022−22000000000000
χ364-4-44-44-440-400040000000000000000−2222000000000000
χ374-4-4-44-4444000-40000000000000000000000000002i2−2i200
χ384-4-4-44-4444000-4000000000000000000000000000−2i22i200
χ394-4-4-44-444-40004000000000000000000000000022−220000
χ404-4-4-44-444-400040000000000000000000000000−22220000
χ41888-8-8-8-88000000000000000000000000000000000000
χ4288-88-8-88-8000000000000000000000000000000000000
χ4388-8-888-8-8000000000000000000000000000000000000
χ448-8888-8-8-8000000000000000000000000000000000000

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