Finite Group Databasebeta

← Group #7774

Character table — Group #7774

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
χ9222222222-2-22-2-22200000000000000000-2000
χ10222222222-2-22-2-2-2-2000000000000000002000
χ1122222222-22-2-22-200002200000000000000-200
χ1222222222-22-2-22-20000-2-200000000000000200
χ1322222222-2-22-2-22002200000000000000-20000
χ1422222222-2-22-2-2200-2-20000000000000020000
χ152222-2-2-2-2200-2002-2000022−2−222−2−2000000000
χ162222-2-2-2-2200-2002-20000−2−222−2−222000000000
χ172222-2-2-2-2200-200-22000022−2−2−2−222000000000
χ182222-2-2-2-2200-200-220000−2−22222−2−2000000000
χ1922-2-2-222-200200-2002-200i2−i2i2−i20000i2i2−i2−i200000
χ2022-2-2-222-200200-2002-200−i2i2−i2i20000−i2−i2i2i200000
χ2122-2-2-222-200200-200-2200i2−i2i2−i20000−i2−i2i2i200000
χ2222-2-2-222-200200-200-2200−i2i2−i2i20000i2i2−i2−i200000
χ232-22-2-22-220200-2000002i−2i0000i2−i2i2−i22−22−200000
χ242-22-2-22-220200-2000002i−2i0000−i2i2−i2i2−22−2200000
χ252-22-2-22-220200-200000−2i2i0000i2−i2i2−i2−22−2200000
χ262-22-2-22-220200-200000−2i2i0000−i2i2−i2i22−22−200000
χ274444-4-4-4-4-40040000000000000000000000000
χ2844-4-44-4-440000000000002i−2i−2i2i0000000000000
χ2944-4-44-4-44000000000000−2i2i2i−2i0000000000000
χ3044-4-4-444-400-400400000000000000000000000
χ314-44-44-44-400000000000000002i−2i−2i2i000000000
χ324-44-44-44-40000000000000000−2i2i2i−2i000000000
χ334-44-4-44-440-4004000000000000000000000000
χ344-4-4444-4-4000000000000000000002i−2i−2i2i00000
χ354-4-4444-4-400000000000000000000−2i2i2i−2i00000
χ364-4-44-4-4440000000000000000000000000002-2
χ374-4-44-4-444000000000000000000000000000-22

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