Finite Group Databasebeta

← Group #7791

Character table — Group #7791

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size111111114444448888888888888888881616161616
order1222222244444422444488888888888844444
χ11111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ31111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111
χ511111111111111-1-111-1-11111-1-1-1-111111-1-1-1-1
χ611111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-111-1
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1
χ811111111111111-1-1-1-111-1-1-1-111111111-11-1-1-1
χ9222222222-2-22-2-22200000000000000000000-2
χ10222222222-2-22-2-2-2-2000000000000000000002
χ1122222222-22-2-22-20000220000000000000-2000
χ1222222222-22-2-22-20000-2-200000000000002000
χ1322222222-2-22-2-22002200000000000000-20000
χ1422222222-2-22-2-2200-2-20000000000000020000
χ1522-22-2-22-2-2002002-20000i2i2−i2−i2i2i2−i2−i2000000000
χ1622-22-2-22-2-2002002-20000−i2−i2i2i2−i2−i2i2i2000000000
χ1722-22-2-22-2-200200-220000i2i2−i2−i2−i2−i2i2i2000000000
χ1822-22-2-22-2-200200-220000−i2−i2i2i2i2i2−i2−i2000000000
χ1922-2-22-2-2200200-2002-200i2−i2i2−i20000i2i2−i2−i200000
χ2022-2-22-2-2200200-2002-200−i2i2−i2i20000−i2−i2i2i200000
χ2122-2-22-2-2200200-200-2200i2−i2i2−i20000−i2−i2i2i200000
χ2222-2-22-2-2200200-200-2200−i2i2−i2i20000i2i2−i2−i200000
χ232-2-2-2-22220-2002000002-200002−22−22−22−200000
χ242-2-2-2-22220-2002000002-20000−22−22−22−2200000
χ252-2-2-2-22220-200200000-2200002−22−2−22−2200000
χ262-2-2-2-22220-200200000-220000−22−222−22−200000
χ27444-4-44-4-40000000000002-2-220000000000000
χ28444-4-44-4-4000000000000-222-20000000000000
χ2944-44-4-44-4400-40000000000000000000000000
χ3044-4-44-4-4400-400400000000000000000000000
χ314-444-4-4-44000000000000000000002i−2i−2i2i00000
χ324-444-4-4-4400000000000000000000−2i2i2i−2i00000
χ334-44-44-44-400000000000000002i−2i−2i2i000000000
χ344-44-44-44-40000000000000000−2i2i2i−2i000000000
χ354-4-4444-4-4000000000000000000000000002i−2i0
χ364-4-4444-4-400000000000000000000000000−2i2i0
χ374-4-4-4-44440400-4000000000000000000000000

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