Finite Group Databasebeta

← Group #346014

Character table — Group #346014

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888888888161616161616161616161616161616323232
order12222244444444444444448888888888444444888888888288
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-11-1-1
χ311111111111111111111-1-111111111111-1-1-1-1-11-1-1-1-11111-1-1-1
χ411111111111111111111-1-111-1-1-1-1-1-1-1-1111-1-1-11-1-111-1-1-1-1-111
χ5111111111111111111-1-111-1-111111111-1-1-11-1-1-1-1-111-1-1-1-111-1
χ6111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111-11
χ7111111111111111111-1-1-1-1-1-111111111-111-111-111-1-1-1-1-1-1-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-11-1
χ911111111111111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-11-1
χ1011111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1-111-1-111-1-11
χ1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1111111-1-11-11
χ1211111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11111-1
χ1311111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1111-1-1-1-111-111
χ1411111111111111-1-1-1-1-1-11111-1-1-1-11111-1111-1-11111111-1-1-1-1-1
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1111-1-111-1-1111-1-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1111
χ172222222222-2-2-2-222-2-222002200000000-200000-200000000000
χ182222222222-2-2-2-222-2-2-2-200-2-200000000200000200000000000
χ192222222222-2-2-2-2-2-2222200-2-200000000-200000200000000000
χ202222222222-2-2-2-2-2-222-2-2002200000000200000-200000000000
χ21222222-2-2-2-222-2-2000000220000002i2i−2i−2i000-2000002i−2i0000000
χ22222222-2-2-2-222-2-200000022000000−2i−2i2i2i000-200000−2i2i0000000
χ23222222-2-2-2-222-2-2000000-2-20000002i2i−2i−2i000200000−2i2i0000000
χ24222222-2-2-2-222-2-2000000-2-2000000−2i−2i2i2i0002000002i−2i0000000
χ252222-2-222-2-22-22-200000000002i2i−2i−2i000002-202i−2i000000000000
χ262222-2-222-2-22-22-200000000002i2i−2i−2i00000-220−2i2i000000000000
χ272222-2-222-2-22-22-20000000000−2i−2i2i2i000002-20−2i2i000000000000
χ282222-2-222-2-22-22-20000000000−2i−2i2i2i00000-2202i−2i000000000000
χ2922-2-22-22-22-200002-2002i−2i002i−2i2−22−22−22−200000000000i2−i2i2−i2000
χ3022-2-22-22-22-200002-2002i−2i002i−2i−22−22−22−2200000000000−i2i2−i2i2000
χ3122-2-22-22-22-200002-200−2i2i00−2i2i2−22−22−22−200000000000−i2i2−i2i2000
χ3222-2-22-22-22-200002-200−2i2i00−2i2i−22−22−22−2200000000000i2−i2i2−i2000
χ3322-2-22-22-22-20000-22002i−2i00−2i2i2−22−2−22−2200000000000i2−i2−i2i2000
χ3422-2-22-22-22-20000-22002i−2i00−2i2i−22−222−22−200000000000−i2i2i2−i2000
χ3522-2-22-22-22-20000-2200−2i2i002i−2i2−22−2−22−2200000000000−i2i2i2−i2000
χ3622-2-22-22-22-20000-2200−2i2i002i−2i−22−222−22−200000000000i2−i2−i2i2000
χ37444444-4-4-4-4-4-444000000000000000000000000000000000000
χ384444-4-444-4-4-44-44000000000000000000000000000000000000
χ394444-4-4-4-4444-4-44000000000000000000000000000000000000
χ404444-4-4-4-444-444-4000000000000000000000000000000000000
χ4144-4-44-4-44-440000000000000000002i2−2i2−2i22i2000000000000000000
χ4244-4-44-4-44-44000000000000000000−2i22i22i2−2i2000000000000000000
χ4344-4-4-444-4-44000000000000002i2−2i2−2i22i20000000000000000000000
χ4444-4-4-444-4-4400000000000000−2i22i22i2−2i20000000000000000000000
χ4544-4-4-44-444-40000004i−4i00000000000000000000000000000000
χ4644-4-4-44-444-4000000−4i4i00000000000000000000000000000000
χ478-88-8000000000000000000000000000000000002i2−2i2000000000
χ488-88-800000000000000000000000000000000000−2i22i2000000000
χ498-8-8800000000000000004i−4i0000000000000000000000000000
χ508-8-880000000000000000−4i4i0000000000000000000000000000

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