Finite Group Databasebeta

← Group #251769

Character table — Group #251769

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244444444244444444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1
χ911111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111
χ172222222222-2-2-2-222-2-222-2-222-2-2000000000000000000000000
χ182222222222-2-2-2-222-2-2-2-222-2-222000000000000000000000000
χ192222222222-2-2-2-2-2-22222-2-2-2-222000000000000000000000000
χ202222222222-2-2-2-2-2-222-2-22222-2-2000000000000000000000000
χ21222222-2-2-2-222-2-22-22-200000000002-20000002-2000000000000
χ22222222-2-2-2-222-2-22-22-20000000000-22000000-22000000000000
χ23222222-2-2-2-222-2-2-22-2200000000002-2000000-22000000000000
χ24222222-2-2-2-222-2-2-22-220000000000-220000002-2000000000000
χ25222222-2-2-2-2-2-2222-2-22000000002-20000002-200000000000000
χ26222222-2-2-2-2-2-2222-2-2200000000-22000000-2200000000000000
χ27222222-2-2-2-2-2-222-222-2000000002-2000000-2200000000000000
χ28222222-2-2-2-2-2-222-222-200000000-220000002-200000000000000
χ292222-2-222-2-22-22-2000000002i−2i2i−2i0000002-200002i−2i0000000000
χ302222-2-222-2-22-22-2000000002i−2i2i−2i000000-220000−2i2i0000000000
χ312222-2-222-2-22-22-200000000−2i2i−2i2i0000002-20000−2i2i0000000000
χ322222-2-222-2-22-22-200000000−2i2i−2i2i000000-2200002i−2i0000000000
χ332222-2-222-2-2-22-22000000002i−2i−2i2i00002-2000000002i−2i00000000
χ342222-2-222-2-2-22-22000000002i−2i−2i2i0000-2200000000−2i2i00000000
χ352222-2-222-2-2-22-2200000000−2i2i2i−2i00002-200000000−2i2i00000000
χ362222-2-222-2-2-22-2200000000−2i2i2i−2i0000-22000000002i−2i00000000
χ374444-4-4-4-4444-4-44000000000000000000000000000000000000
χ384444-4-4-4-444-444-4000000000000000000000000000000000000
χ3944-4-44-44-44-400000000000000000000000000000000002i2−2i20000
χ4044-4-44-44-44-40000000000000000000000000000000000−2i22i20000
χ4144-4-44-4-44-44000000000000000000000000000000002i2−2i2000000
χ4244-4-44-4-44-4400000000000000000000000000000000−2i22i2000000
χ4344-4-4-444-4-440000000000000000000000000000000000002i2−2i200
χ4444-4-4-444-4-44000000000000000000000000000000000000−2i22i200
χ4544-4-4-44-444-4000000000000000000000000000000000000002i2−2i2
χ4644-4-4-44-444-400000000000000000000000000000000000000−2i22i2
χ478-88-8000000000000004i−4i000000000000000000000000000000
χ488-88-800000000000000−4i4i000000000000000000000000000000
χ498-8-8800000000000000004i−4i0000000000000000000000000000
χ508-8-880000000000000000−4i4i0000000000000000000000000000

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