Finite Group Databasebeta

← Group #332829

Character table — Group #332829

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222222444488881616161616161616161616161616161616161616161616163232
order12222244444444224444444444444488888888888888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1
χ51111111111111111-1-1-11-1111111-1-1-1-1-11111-1-111-1-1-1-1
χ61111111111111111-1-1-11-11111-1-1-11111-1-1-1-111-1-111-1-1
χ71111111111111111-1-1-11-1-1-1-1-111-1-1-1-1-111-1-111-1-11111
χ81111111111111111-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ911111111111111-1-111-1-1-111-1-111111-1-1-1-111-1-1-1-111-11
χ1011111111111111-1-111-1-1-111-1-1-1-11-1-11111-1-11111-1-1-11
χ1111111111111111-1-111-1-1-1-1-11111111-1-1-1-1-1-11111-1-11-1
χ1211111111111111-1-111-1-1-1-1-111-1-11-1-1111111-1-1-1-1111-1
χ1311111111111111-1-1-1-11-1111-1-111-1-1-111-1-11111-1-1-1-11-1
χ1411111111111111-1-1-1-11-1111-1-1-1-1-111-1-111-1-1-1-111111-1
χ1511111111111111-1-1-1-11-11-1-11111-1-1-111-1-1-1-1-1-11111-11
χ1611111111111111-1-1-1-11-11-1-111-1-1-111-1-1111111-1-1-1-1-11
χ172222222222-2-2-2-22222-2-22000000-20000000000000000
χ182222222222-2-2-2-222-2-22-2-200000020000000000000000
χ192222222222-2-2-2-2-2-22222-2000000-20000000000000000
χ202222222222-2-2-2-2-2-2-2-2-22200000020000000000000000
χ212222-2-222-2-222-2-200000002-2000002i−2i00000000002i−2i00
χ222222-2-222-2-222-2-200000002-200000−2i2i0000000000−2i2i00
χ232222-2-222-2-222-2-20000000-22000002i−2i0000000000−2i2i00
χ242222-2-222-2-222-2-20000000-2200000−2i2i00000000002i−2i00
χ252222-2-2-2-222-22-220000000002-22-2000000000002-20000
χ262222-2-2-2-222-22-220000000002-2-2200000000000-220000
χ272222-2-2-2-222-22-22000000000-222-200000000000-220000
χ282222-2-2-2-222-22-22000000000-22-22000000000002-20000
χ29444444-4-4-4-44-4-44000000000000000000000000000000
χ30444444-4-4-4-4-444-4000000000000000000000000000000
χ314444-4-444-4-4-4-444000000000000000000000000000000
χ324444-4-4-4-4444-44-4000000000000000000000000000000
χ3344-4-44-44-4-440000000000000000000000000022−22000000
χ3444-4-44-44-4-4400000000000000000000000000−2222000000
χ3544-4-44-4-444-400000000000000000000000022−2200000000
χ3644-4-44-4-444-4000000000000000000000000−222200000000
χ3744-4-4-444-44-400004-40000000000000000000000000000
χ3844-4-4-444-44-40000-440000000000000000000000000000
χ3944-4-4-44-44-440000004i−4i00000000000000000000000000
χ4044-4-4-44-44-44000000−4i4i00000000000000000000000000
χ418-88-8000000000000000000000000002i2−2i2000000000000
χ428-88-800000000000000000000000000−2i22i2000000000000
χ438-8-8800000000000000000000000000002i2−2i20000000000
χ448-8-880000000000000000000000000000−2i22i20000000000

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