Finite Group Databasebeta

← Group #333270

Character table — Group #333270

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122222244448888888816161616161616161616161616161616161632323232
order12224444442444888888882444444488888888882288
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-1-1-111-1-11111-1-1-1-1
χ3111111111111111111-1-1-1-1-1111-1-11-11-1111-1-1-1-1-11-11-1
χ4111111111111111111-1-1-1-1-111-11-1-11-1111-11-1-1-1-1-11-11
χ51111111111111111-1-11111-1-1-11-1-11-1111-11111-1-1-1-1-11
χ61111111111111111-1-11111-1-1-1-11-1-11-1-11-1-1-111-1-1111-1
χ71111111111111111-1-1-1-1-1-11-1-1111111-11-11-1-1-111-11-1-1
χ81111111111111111-1-1-1-1-1-11-1-1-1-11-1-1-111-1-11-1-1111-111
χ911111111111111-1-1111111-1-1-11-1-11-1-1-1-11-1-1-1-11111-11
χ1011111111111111-1-1111111-1-1-1-11-1-1111-1111-1-111-1-11-1
χ1111111111111111-1-111-1-1-1-11-1-111111-11-11-1111-1-11-1-1-1
χ1211111111111111-1-111-1-1-1-11-1-1-1-11-1-11-1-111-111-1-1-1111
χ1311111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ1411111111111111-1-1-1-11111111-1-11-1-111-1-111-1-1-1-111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1111-1-11-1-11-1-1-111111-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-111-11-1-111-1-1-11-111111-1-11
χ17222222-2-222-2-2-22000022-2-222-200-20000000000000000
χ18222222-2-222-2-2-22000022-2-2-2-220020000000000000000
χ19222222-2-222-2-2-220000-2-2222-2200-20000000000000000
χ20222222-2-222-2-2-220000-2-222-22-20020000000000000000
χ2122222-2222-2-22-2-2002200000000200-20-20-20200000000
χ2222222-2222-2-22-2-2002200000000-2002020-20-200000000
χ2322222-2222-2-22-2-200-2-200000000200-202020-200000000
χ2422222-2222-2-22-2-200-2-200000000-20020-2020200000000
χ252222-2222-22-2-22-222000000000200-20-20-202000000000
χ262222-2222-22-2-22-222000000000-2002020-20-2000000000
χ272222-2222-22-2-22-2-2-2000000000200-202020-2000000000
χ282222-2222-22-2-22-2-2-2000000000-20020-20202000000000
χ2944444-4-4-44-44-44-4000000000000000000000000000000
χ304444-44-4-4-4444-4-4000000000000000000000000000000
χ314444-4-444-4-44-4-44000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000
χ3344-4-404000-400002i2−2i2000022−22000000000000002i−2i000000
χ3444-4-404000-400002i2−2i20000−222200000000000000−2i2i000000
χ3544-4-404000-40000−2i22i2000022−2200000000000000−2i2i000000
χ3644-4-404000-40000−2i22i20000−2222000000000000002i−2i000000
χ374-44-44000-400000002i2−2i222−220000000000000000002i−2i0000
χ384-44-44000-400000002i2−2i2−2222000000000000000000−2i2i0000
χ394-44-44000-40000000−2i22i222−22000000000000000000−2i2i0000
χ404-44-44000-40000000−2i22i2−22220000000000000000002i−2i0000
χ4188-8-80-800080000000000000000000000000000000000
χ428-88-8-8000800000000000000000000000000000000000
χ438-8-88008-8000000000000000000000000000000000000
χ448-8-8800-88000000000000000000000000000000000000

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