Finite Group Databasebeta

← Group #7749

Character table — Group #7749

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size111111114444448888888888888888881616161616
order1222222244444444444488888888888822444
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
χ15222-22-2-2-200-20022-20000i2i2−i2−i2i2i2−i2−i2000000000
χ16222-22-2-2-200-20022-20000−i2−i2i2i2−i2−i2i2i2000000000
χ17222-22-2-2-200-2002-220000i2i2−i2−i2−i2−i2i2i2000000000
χ18222-22-2-2-200-2002-220000−i2−i2i2i2i2i2−i2−i2000000000
χ1922-22-22-2-20-20020002-200i2−i2i2−i20000i2i2−i2−i200000
χ2022-22-22-2-20-20020002-200−i2i2−i2i20000−i2−i2i2i200000
χ2122-22-22-2-20-2002000-2200i2−i2i2−i20000−i2−i2i2i200000
χ2222-22-22-2-20-2002000-2200−i2i2−i2i20000i2i2−i2−i200000
χ232-222-2-22-2-20020000002-20000i2−i2i2−i2i2−i2i2−i200000
χ242-222-2-22-2-20020000002-20000−i2i2−i2i2−i2i2−i2i200000
χ252-222-2-22-2-2002000000-220000i2−i2i2−i2−i2i2−i2i200000
χ262-222-2-22-2-2002000000-220000−i2i2−i2i2i2−i2i2−i200000
χ27444-44-4-4-400400-400000000000000000000000
χ2844-44-44-4-40400-4000000000000000000000000
χ2944-4-4-4-4440000000000002-2-220000000000000
χ3044-4-4-4-444000000000000-222-20000000000000
χ314-444-4-44-4400-40000000000000000000000000
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
χ364-4-4-4444-40000000000000000000000002-2000
χ374-4-4-4444-4000000000000000000000000-22000

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