Finite Group Databasebeta

← Group #331069

Character table — Group #331069

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122222244448888888816161616161616161616161616161616161632323232
order12222244444444444488884444888888888888882444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ911111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-11-1
χ1011111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-11
χ1111111111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-11-11
χ1211111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1111-11-1
χ1311111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11-1-11
χ172222222222-2-2-2-222-2-222-2-200002-20000000000000000
χ182222222222-2-2-2-222-2-2-2-2220000-220000000000000000
χ192222222222-2-2-2-2-2-22222-2-20000-220000000000000000
χ202222222222-2-2-2-2-2-222-2-22200002-20000000000000000
χ212222-2-222-2-222-2-200002i−2i2i−2i002-2002i−2i00000000000000
χ222222-2-222-2-222-2-200002i−2i2i−2i00-2200−2i2i00000000000000
χ232222-2-222-2-222-2-20000−2i2i−2i2i002-200−2i2i00000000000000
χ242222-2-222-2-222-2-20000−2i2i−2i2i00-22002i−2i00000000000000
χ252222-2-222-2-2-2-22200002i−2i−2i2i2-20000002i−2i000000000000
χ262222-2-222-2-2-2-22200002i−2i−2i2i-22000000−2i2i000000000000
χ272222-2-222-2-2-2-2220000−2i2i2i−2i2-2000000−2i2i000000000000
χ282222-2-222-2-2-2-2220000−2i2i2i−2i-220000002i−2i000000000000
χ29444444-4-4-4-44-44-4000000000000000000000000000000
χ30444444-4-4-4-4-44-44000000000000000000000000000000
χ314444-4-4-4-4444-4-44000000000000000000000000000000
χ324444-4-4-4-444-444-4000000000000000000000000000000
χ3344-4-44-44-44-400000000000000000000000000002i2−2i20000
χ3444-4-44-44-44-40000000000000000000000000000−2i22i20000
χ3544-4-44-4-44-4400000000000000000000002i2−2i20000000000
χ3644-4-44-4-44-440000000000000000000000−2i22i20000000000
χ3744-4-4-444-4-440000000000000000000000002i2−2i200000000
χ3844-4-4-444-4-44000000000000000000000000−2i22i200000000
χ3944-4-4-44-444-4000000000000000000000000002i2−2i2000000
χ4044-4-4-44-444-400000000000000000000000000−2i22i2000000
χ418-88-80000000000004i−4i00000000000000000000000000
χ428-88-8000000000000−4i4i00000000000000000000000000
χ438-8-8800000000004i−4i0000000000000000000000000000
χ448-8-880000000000−4i4i0000000000000000000000000000

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