Finite Group Databasebeta

← Group #343039

Character table — Group #343039

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222222448888888888888888161616161616161616161616161632323232
order12222244444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-11-11
χ5111111111111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-1111111-1-1-1-11-1
χ6111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1-111-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-1111-1-1-1
χ91111111111111111-1-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-111-1-1-11
χ101111111111111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-111-1-111111-1
χ111111111111111111-1-111-1-1-1-1-1-1-1-11111111-111-1-11111-1-1-11-1-1
χ121111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-11-111
χ131111111111111111-1-1-1-1111111111111-111-1-1-111-1-1-1-1-1-111-1-1
χ141111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111
χ151111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111-1-11
χ161111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1
χ172222222-2-2-2222-2-2-2222222-2-200000000-200-200000000000000
χ182222222-2-2-2222-2-2-222-2-2-2-22200000000200-200000000000000
χ192222222-2-2-2222-2-2-2-2-222-2-22200000000-200200000000000000
χ202222222-2-2-2222-2-2-2-2-2-2-222-2-200000000200200000000000000
χ212222-2-222-2-2-2-2222-20000000022-2-2000002-20002-20000000000
χ222222-2-222-2-2-2-2222-20000000022-2-200000-22000-220000000000
χ232222-2-222-2-2-2-2222-200000000-2-222000002-2000-220000000000
χ242222-2-222-2-2-2-2222-200000000-2-22200000-220002-20000000000
χ252222-2-2-22-2-222-22-2200000000000022-2-200002-2002-200000000
χ262222-2-2-22-2-222-22-2200000000000022-2-20000-2200-2200000000
χ272222-2-2-22-2-222-22-22000000000000-2-22200002-200-2200000000
χ282222-2-2-22-2-222-22-22000000000000-2-2220000-22002-200000000
χ2922-2-22-2-20002-220002-22i−2i2i−2i00i2−i2i2−i22−22−20000000000i2−i22−20000
χ3022-2-22-2-20002-220002-22i−2i2i−2i00−i2i2−i2i2−22−220000000000−i2i2−220000
χ3122-2-22-2-20002-220002-2−2i2i−2i2i00i2−i2i2−i2−22−220000000000i2−i2−220000
χ3222-2-22-2-20002-220002-2−2i2i−2i2i00−i2i2−i2i22−22−20000000000−i2i22−20000
χ3322-2-22-2-20002-22000-222i−2i−2i2i00i2−i2i2−i2−22−220000000000−i2i22−20000
χ3422-2-22-2-20002-22000-222i−2i−2i2i00−i2i2−i2i22−22−20000000000i2−i2−220000
χ3522-2-22-2-20002-22000-22−2i2i2i−2i00i2−i2i2−i22−22−20000000000−i2i2−220000
χ3622-2-22-2-20002-22000-22−2i2i2i−2i00−i2i2−i2i2−22−220000000000i2−i22−20000
χ37444444-4444-4-4-44-4-40000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-4-4440000000000000000000000000000000000
χ394444-4-44-444-4-44-4-440000000000000000000000000000000000
χ404444-4-4-4-44444-4-44-40000000000000000000000000000000000
χ4144-4-44-44000-44-40000000004-400000000000000000000000000
χ4244-4-44-44000-44-4000000000-4400000000000000000000000000
χ4344-4-4-4440004-4-400000000000000022−22−2222000000000000000000
χ4444-4-4-4440004-4-4000000000000000−222222−22000000000000000000
χ4544-4-4-44-4000-444000000000002i2−2i2−2i22i20000000000000000000000
χ4644-4-4-44-4000-44400000000000−2i22i22i2−2i20000000000000000000000
χ478-88-800008i−8i0000000000000000000000000000000000000000
χ488-88-80000−8i8i0000000000000000000000000000000000000000
χ498-8-88000800000-8000000000000000000000000000000000000
χ508-8-88000-8000008000000000000000000000000000000000000

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