Finite Group Databasebeta

← Group #245129

Character table — Group #245129

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222224444224444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1-1-1-1-11-11111-1111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-11111111111-1-1-1-1
χ911111111111111-1-1-1-111-1-111-1-1111-1-1111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-111-1-111-1-111-11111-1-1-1-1-1-1-111-1-111-1-111
χ1111111111111111-1-1-1-111-1-111-1-1-1-11-1-1-1-11111111-1-1-1-111-1-111
χ1211111111111111-1-1-1-111-1-111-1-1-1-1-111-1-1-11111-1-11111-1-111-1-1
χ1311111111111111-1-1-1-1-1-111-1-1111-11-1-11-11-1-111-1-11111-1-1-1-111
χ1411111111111111-1-1-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-111-1-111-111-1-1-11111-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-111-1-111-11-111-11-111-1-111-1-111-1-1-1-111
χ172222222222-2-2-2-222-2-222-2-2-2-222000000000000000000000000
χ182222222222-2-2-2-222-2-2-2-22222-2-2000000000000000000000000
χ192222222222-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-222-2-2-2-22222000000000000000000000000
χ2122222-2-2-2-2222-2-200002-2002-2000002-20000000002-200000000
χ2222222-2-2-2-2222-2-200002-2002-200000-22000000000-2200000000
χ2322222-2-2-2-2222-2-20000-2200-22000002-2000000000-2200000000
χ2422222-2-2-2-2222-2-20000-2200-2200000-220000000002-200000000
χ2522222-2-2-2-22-2-22200002-200-22000020000-200002-20000000000
χ2622222-2-2-2-22-2-22200002-200-220000-2000020000-220000000000
χ2722222-2-2-2-22-2-2220000-22002-2000020000-20000-220000000000
χ2822222-2-2-2-22-2-2220000-22002-20000-20000200002-20000000000
χ292222-2-2-222-22-22-22-22-200000000020000-20002-2000000000000
χ302222-2-2-222-22-22-22-22-2000000000-200002000-22000000000000
χ312222-2-2-222-22-22-2-22-2200000000020000-2000-22000000000000
χ322222-2-2-222-22-22-2-22-22000000000-2000020002-2000000000000
χ332222-2-2-222-2-22-222-2-220000000020000-2002-200000000000000
χ342222-2-2-222-2-22-222-2-2200000000-20000200-2200000000000000
χ352222-2-2-222-2-22-22-222-20000000020000-200-2200000000000000
χ362222-2-2-222-2-22-22-222-200000000-200002002-200000000000000
χ374444-444-4-4-44-4-44000000000000000000000000000000000000
χ384444-444-4-4-4-444-4000000000000000000000000000000000000
χ394-4-4444-44-4-4000000000000000000000000000000000000002i2−2i2
χ404-4-4444-44-4-400000000000000000000000000000000000000−2i22i2
χ414-4-444-44-44-400000000000000000000000000000000002i2−2i20000
χ424-4-444-44-44-40000000000000000000000000000000000−2i22i20000
χ434-4-44-44-4-4440000000000000000000000000000000022−22000000
χ444-4-44-44-4-44400000000000000000000000000000000−2222000000
χ454-4-44-4-444-4400000000000000000000000000000000000022−2200
χ464-4-44-4-444-44000000000000000000000000000000000000−222200
χ4788-8-800000000000000004i−4i0000000000000000000000000000
χ4888-8-80000000000000000−4i4i0000000000000000000000000000
χ498-88-8000000000000000000004i−4i000000000000000000000000
χ508-88-800000000000000000000−4i4i000000000000000000000000

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