Finite Group Databasebeta

← Group #7772

Character table — Group #7772

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size111111114444448888888888888888881616161616
order1222222244444444444488888888888844444
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
χ511111111111111-1-111-1-11111-1-1-1-11111-1-11-1-1
χ611111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111
χ811111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1
χ9222222222-2-22-2-22200000000000000000-2000
χ10222222222-2-22-2-2-2-2000000000000000002000
χ1122222222-22-2-22-200220000000000000000-200
χ1222222222-22-2-22-200-2-20000000000000000200
χ1322222222-2-22-2-22000022000000000000-20000
χ1422222222-2-22-2-220000-2-200000000000020000
χ1522-222-2-2-2200-2002-2000022−2−222−2−2000000000
χ1622-222-2-2-2200-2002-20000−2−222−2−222000000000
χ1722-222-2-2-2200-200-22000022−2−2−2−222000000000
χ1822-222-2-2-2200-200-220000−2−22222−2−2000000000
χ1922-2-2-22-2200200-200002i−2i00002−22−2i2i2−i2−i200000
χ2022-2-2-22-2200200-200002i−2i0000−22−22−i2−i2i2i200000
χ2122-2-2-22-2200200-20000−2i2i00002−22−2−i2−i2i2i200000
χ2222-2-2-22-2200200-20000−2i2i0000−22−22i2i2−i2−i200000
χ232-2-2-2222-20200-20002-200i2−i2i2−i20000i2−i2i2−i200000
χ242-2-2-2222-20200-20002-200−i2i2−i2i20000−i2i2−i2i200000
χ252-2-2-2222-20200-2000-2200i2−i2i2−i20000−i2i2−i2i200000
χ262-2-2-2222-20200-2000-2200−i2i2−i2i20000i2−i2i2−i200000
χ27444-4-4-44-400000000000000002-2-22000000000
χ28444-4-4-44-40000000000000000-222-2000000000
χ2944-444-4-4-4-40040000000000000000000000000
χ3044-4-4-44-4400-400400000000000000000000000
χ314-444-44-4-4000000000000000000002-2-2200000
χ324-444-44-4-400000000000000000000-222-200000
χ334-44-44-4-440000000000002i−2i−2i2i0000000000000
χ344-44-44-4-44000000000000−2i2i2i−2i0000000000000
χ354-4-44-4-4440000000000000000000000000002-2
χ364-4-44-4-444000000000000000000000000000-22
χ374-4-4-4444-40-4004000000000000000000000000

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