Finite Group Databasebeta

← Group #7746

Character table — Group #7746

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size111111114444448888888888888888881616161616
order1222222244444444444488888888888822244
χ11111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ31111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ511111111111111-1-111-1-11111-1-1-1-11111-1-1-1-11
χ611111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-11
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1
χ811111111111111-1-1-1-111-1-1-1-111111111-1-1-11-1
χ9222222222-2-22-2-2000022000000000000000-20
χ10222222222-2-22-2-20000-2-200000000000000020
χ1122222222-22-2-22-20022000000000000000000-2
χ1222222222-22-2-22-200-2-20000000000000000002
χ1322222222-2-22-2-22220000000000000000-20000
χ1422222222-2-22-2-22-2-2000000000000000020000
χ1522-22-2-22-200200-22i−2i000022−2−2i2i2−i2−i2000000000
χ1622-22-2-22-200200-22i−2i0000−2−222−i2−i2i2i2000000000
χ1722-22-2-22-200200-2−2i2i000022−2−2−i2−i2i2i2000000000
χ1822-22-2-22-200200-2−2i2i0000−2−222i2i2−i2−i2000000000
χ1922-2-22-2-220200-20002i−2i00i2−i2i2−i2000022−2−200000
χ2022-2-22-2-220200-20002i−2i00−i2i2−i2i20000−2−22200000
χ2122-2-22-2-220200-2000−2i2i00i2−i2i2−i20000−2−22200000
χ2222-2-22-2-220200-2000−2i2i00−i2i2−i2i2000022−2−200000
χ232-2222-2-2-2200-20000002i−2i0000i2−i2i2−i22−22−200000
χ242-2222-2-2-2200-20000002i−2i0000−i2i2−i2i2−22−2200000
χ252-2222-2-2-2200-2000000−2i2i0000i2−i2i2−i2−22−2200000
χ262-2222-2-2-2200-2000000−2i2i0000−i2i2−i2i22−22−200000
χ27444-4-44-4-40000000000002i−2i−2i2i0000000000000
χ28444-4-44-4-4000000000000−2i2i2i−2i0000000000000
χ2944-44-4-44-400-400400000000000000000000000
χ3044-4-44-4-440-4004000000000000000000000000
χ314-4444-4-4-4-40040000000000000000000000000
χ324-44-4-4-44400000000000000000000000002-200
χ334-44-4-4-4440000000000000000000000000-2200
χ344-4-44-44-4400000000000000002-2-22000000000
χ354-4-44-44-440000000000000000-222-2000000000
χ364-4-4-4444-4000000000000000000002-2-2200000
χ374-4-4-4444-400000000000000000000-222-200000

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