Finite Group Databasebeta

← Group #7745

Character table — Group #7745

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size111111114444448888888888888888881616161616
order1222222244444422444488888888888822444
χ11111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ31111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ511111111111111-1-111-1-11111-1-1-1-11111-1-1-11-1
χ611111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-11-1
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11
χ811111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11
χ9222222222-2-22-2-222000000000000000000-200
χ10222222222-2-22-2-2-2-2000000000000000000200
χ1122222222-22-2-22-20000220000000000000000-2
χ1222222222-22-2-22-20000-2-200000000000000002
χ1322222222-2-22-2-22002200000000000000000-20
χ1422222222-2-22-2-2200-2-20000000000000000020
χ152222-2-2-2-2-2002002-20000i2i2−i2−i2i2i2−i2−i2000000000
χ162222-2-2-2-2-2002002-20000−i2−i2i2i2−i2−i2i2i2000000000
χ172222-2-2-2-2-200200-220000i2i2−i2−i2−i2−i2i2i2000000000
χ182222-2-2-2-2-200200-220000−i2−i2i2i2i2i2−i2−i2000000000
χ1922-2-222-2-200200-2002i−2i00i2−i2i2−i2000022−2−200000
χ2022-2-222-2-200200-2002i−2i00−i2i2−i2i20000−2−22200000
χ2122-2-222-2-200200-200−2i2i00i2−i2i2−i20000−2−22200000
χ2222-2-222-2-200200-200−2i2i00−i2i2−i2i2000022−2−200000
χ232-22-22-22-20200-2000002i−2i0000i2−i2i2−i22−22−200000
χ242-22-22-22-20200-2000002i−2i0000−i2i2−i2i2−22−2200000
χ252-22-22-22-20200-200000−2i2i0000i2−i2i2−i2−22−2200000
χ262-22-22-22-20200-200000−2i2i0000−i2i2−i2i22−22−200000
χ274444-4-4-4-4400-40000000000000000000000000
χ2844-4-444-4-400-400400000000000000000000000
χ2944-4-4-4-4440000000000002-2-220000000000000
χ3044-4-4-4-444000000000000-222-20000000000000
χ314-44-44-44-40-4004000000000000000000000000
χ324-44-4-44-4400000000000000002-2-22000000000
χ334-44-4-44-440000000000000000-222-2000000000
χ344-4-444-4-44000000000000000000002-2-2200000
χ354-4-444-4-4400000000000000000000-222-200000
χ364-4-44-444-40000000000000000000000002-2000
χ374-4-44-444-4000000000000000000000000-22000

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