Finite Group Databasebeta

← Group #343122

Character table — Group #343122

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222224444888888888888161616161616161616161616323232323232
order12224444442444888888888888222244444444888888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111111-1-11-111-1-1-1-11-1-1-111-1-1
χ411111111111111111111111111-1-1-11-1-111-1-1-11-1-1-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1111-11-11-111-11-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-111-11-11-11111-1-1-1-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-111-1
χ911111111111111-1-1-1-11111-1-1-1-11-11111-111-11-11-1-1-11-1
χ1011111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-11-11-1-111-111-11
χ1111111111111111-1-1-1-11111-1-1-1-1-111-1111-1-1111-11-1-1-11
χ1211111111111111-1-1-1-11111-1-1-1-1-11-11-1-1-11-11-1-1-11111-1
χ1311111111111111-1-1-1-1-1-1-1-111111-11-11-1-1-11-1-1-1-11-1111
χ1411111111111111-1-1-1-1-1-1-1-111111-1-11-11111-111-111-1-1-1
χ1511111111111111-1-1-1-1-1-1-1-11111-11111-111-11-111-1-11-1-1
χ1611111111111111-1-1-1-1-1-1-1-11111-11-1-1-11-1-1-111-11-11-111
χ172222222-2-22-2-2-2222-2-20000000022000000-2-200000000
χ182222222-2-22-2-2-2222-2-200000000-2-20000002200000000
χ192222222-2-22-2-2-22-2-222000000002-2000000-2200000000
χ202222222-2-22-2-2-22-2-22200000000-220000002-200000000
χ2122222-2-2222-22-2-2000022-2-200000020-220000-20000000
χ2222222-2-2222-22-2-2000022-2-2000000-202-2000020000000
χ2322222-2-2222-22-2-20000-2-22200000020-2-2000020000000
χ2422222-2-2222-22-2-20000-2-222000000-20220000-20000000
χ252222-22222-2-2-22-20000000022-2-20002002-2000-2000000
χ262222-22222-2-2-22-20000000022-2-2000-200-220002000000
χ272222-22222-2-2-22-200000000-2-222000200-2-20002000000
χ282222-22222-2-2-22-200000000-2-222000-20022000-2000000
χ2944444-4-4-4-444-44-4000000000000000000000000000000
χ304444-444-4-4-444-4-4000000000000000000000000000000
χ314444-4-4-444-44-4-44000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000
χ3344-4-404-40000000002i2−2i22i−2i2i−2i22−2200000000000000000000
χ3444-4-404-40000000002i2−2i2−2i2i−2i2i−222200000000000000000000
χ3544-4-404-4000000000−2i22i22i−2i2i−2i−222200000000000000000000
χ3644-4-404-4000000000−2i22i2−2i2i−2i2i22−2200000000000000000000
χ3744-4-40-44000000022−22002i−2i−2i2i002i2−2i2000000000000000000
χ3844-4-40-44000000022−2200−2i2i2i−2i00−2i22i2000000000000000000
χ3944-4-40-440000000−2222002i−2i−2i2i00−2i22i2000000000000000000
χ4044-4-40-440000000−222200−2i2i2i−2i002i2−2i2000000000000000000
χ418-88-880000-80000000000000000000000000000000000
χ428-88-8-8000080000000000000000000000000000000000
χ438-8-880008-800000000000000000000000000000000000
χ448-8-88000-8800000000000000000000000000000000000

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