Finite Group Databasebeta

← Group #245137

Character table — Group #245137

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222224444222222444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ911111111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ1111111111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111
χ1211111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1
χ1311111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111
χ1411111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ1511111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ172222222222-2-2-2-22222-2-2-2-2-2-222000000000000000000000000
χ182222222222-2-2-2-222-2-222-2-222-2-2000000000000000000000000
χ192222222222-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000
χ2122222-2-2-2-2222-2-2002-200002-200002-200000000002-200000000
χ2222222-2-2-2-2222-2-2002-200002-20000-220000000000-2200000000
χ2322222-2-2-2-2222-2-200-220000-2200002-20000000000-2200000000
χ2422222-2-2-2-2222-2-200-220000-220000-2200000000002-200000000
χ2522222-2-2-2-22-2-222002-20000-22002-200000000002-20000000000
χ2622222-2-2-2-22-2-222002-20000-2200-220000000000-220000000000
χ2722222-2-2-2-22-2-22200-2200002-2002-20000000000-220000000000
χ2822222-2-2-2-22-2-22200-2200002-200-2200000000002-20000000000
χ292222-2-2-222-22-22-22-200002-200000000002-2002-2000000000000
χ302222-2-2-222-22-22-22-200002-20000000000-2200-22000000000000
χ312222-2-2-222-22-22-2-220000-2200000000002-200-22000000000000
χ322222-2-2-222-22-22-2-220000-220000000000-22002-2000000000000
χ332222-2-2-222-2-22-222-20000-22000000002-2002-200000000000000
χ342222-2-2-222-2-22-222-20000-2200000000-2200-2200000000000000
χ352222-2-2-222-2-22-22-2200002-2000000002-200-2200000000000000
χ362222-2-2-222-2-22-22-2200002-200000000-22002-200000000000000
χ374444-444-4-4-44-4-44000000000000000000000000000000000000
χ384444-444-4-4-4-444-4000000000000000000000000000000000000
χ3944-4-444-44-4-4000000000000000000000000000000000022−220000
χ4044-4-444-44-4-40000000000000000000000000000000000−22220000
χ4144-4-44-44-44-40000000000000000000000000000000000000022−22
χ4244-4-44-44-44-400000000000000000000000000000000000000−2222
χ4344-4-4-44-4-4440000000000000000000000000000000000002i2−2i200
χ4444-4-4-44-4-444000000000000000000000000000000000000−2i22i200
χ4544-4-4-4-444-44000000000000000000000000000000002i2−2i2000000
χ4644-4-4-4-444-4400000000000000000000000000000000−2i22i2000000
χ478-88-8000000000000000000004-4000000000000000000000000
χ488-88-800000000000000000000-44000000000000000000000000
χ498-8-88000000000000004-4000000000000000000000000000000
χ508-8-8800000000000000-44000000000000000000000000000000

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