Finite Group Databasebeta

← Group #7801

Character table — Group #7801

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size111111114444448888888888888888881616161616
order1222222244444422444488888888888844444
χ11111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ31111111111111111-1-1-1-111111111-1-1-1-1-11-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-111
χ511111111111111-1-111-1-11111-1-1-1-111111-1-1-1-1
χ611111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111
χ811111111111111-1-1-1-111-1-1-1-111111111-1-11-1-1
χ9222222222-2-22-2-200002200000000000000-200
χ10222222222-2-22-2-20000-2-200000000000000200
χ1122222222-22-2-22-22200000000000000000-2000
χ1222222222-22-2-22-2-2-2000000000000000002000
χ1322222222-2-22-2-22002200000000000000-20000
χ1422222222-2-22-2-2200-2-20000000000000020000
χ15222-2-22-2-20-200202-20000i2i2−i2−i2i2i2−i2−i2000000000
χ16222-2-22-2-20-200202-20000−i2−i2i2i2−i2−i2i2i2000000000
χ17222-2-22-2-20-20020-220000i2i2−i2−i2−i2−i2i2i2000000000
χ18222-2-22-2-20-20020-220000−i2−i2i2i2i2i2−i2−i2000000000
χ1922-2-2-2-22200200-2002-200i2−i2i2−i20000i2i2−i2−i200000
χ2022-2-2-2-22200200-2002-200−i2i2−i2i20000−i2−i2i2i200000
χ2122-2-2-2-22200200-200-2200i2−i2i2−i20000−i2−i2i2i200000
χ2222-2-2-2-22200200-200-2200−i2i2−i2i20000i2i2−i2−i200000
χ232-2-22-222-2200-20000002i−2i0000i2−i2i2−i22−22−200000
χ242-2-22-222-2200-20000002i−2i0000−i2i2−i2i2−22−2200000
χ252-2-22-222-2200-2000000−2i2i0000i2−i2i2−i2−22−2200000
χ262-2-22-222-2200-2000000−2i2i0000−i2i2−i2i22−22−200000
χ27444-4-44-4-40400-4000000000000000000000000
χ2844-444-4-4-40000000000002-2-220000000000000
χ2944-444-4-4-4000000000000-222-20000000000000
χ3044-4-4-4-44400-400400000000000000000000000
χ314-444-4-4-440000000000000000000000000002i−2i
χ324-444-4-4-44000000000000000000000000000−2i2i
χ334-44-44-44-4000000000000000000002i−2i−2i2i00000
χ344-44-44-44-400000000000000000000−2i2i2i−2i00000
χ354-4-44-444-4-40040000000000000000000000000
χ364-4-4-444-4400000000000000002-2-22000000000
χ374-4-4-444-440000000000000000-222-2000000000

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