Finite Group Databasebeta

← Group #7736

Character table — Group #7736

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
χ9222222222-2-22-2-20000220000000000000000-2
χ10222222222-2-22-2-20000-2-200000000000000002
χ1122222222-22-2-22-2002200000000000000000-20
χ1222222222-22-2-22-200-2-20000000000000000020
χ1322222222-2-22-2-2222000000000000000000-200
χ1422222222-2-22-2-22-2-2000000000000000000200
χ152-22-222-2-20200-20002i−2i00i2i2−i2−i2000022−2−200000
χ162-22-222-2-20200-20002i−2i00−i2−i2i2i20000−2−22200000
χ172-22-222-2-20200-2000−2i2i00i2i2−i2−i20000−2−22200000
χ182-22-222-2-20200-2000−2i2i00−i2−i2i2i2000022−2−200000
χ192-2-222-22-2200-20000002i−2i0000i2i2−i2−i22−22−200000
χ202-2-222-22-2200-20000002i−2i0000−i2−i2i2i2−22−2200000
χ212-2-222-22-2200-2000000−2i2i0000i2i2−i2−i2−22−2200000
χ222-2-222-22-2200-2000000−2i2i0000−i2−i2i2i22−22−200000
χ232-2-2-2-222200-20022-200002−22−22−22−2000000000
χ242-2-2-2-222200-20022-20000−22−22−22−22000000000
χ252-2-2-2-222200-2002-2200002−22−2−22−22000000000
χ262-2-2-2-222200-2002-220000−22−222−22−2000000000
χ27444-4-4-44-400000000000000002i−2i−2i2i000000000
χ28444-4-4-44-40000000000000000−2i2i2i−2i000000000
χ2944-44-44-4-40000000000002i−2i−2i2i0000000000000
χ3044-44-44-4-4000000000000−2i2i2i−2i0000000000000
χ3144-4-44-4-44000000000000000000002-2-2200000
χ3244-4-44-4-4400000000000000000000-222-200000
χ334-444-4-4-440000000000000000000000002-2000
χ344-444-4-4-44000000000000000000000000-22000
χ354-44-444-4-40-4004000000000000000000000000
χ364-4-444-44-4-40040000000000000000000000000
χ374-4-4-4-444400400-400000000000000000000000

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