Finite Group Databasebeta

← Group #7754

Character table — Group #7754

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
χ9222222222-2-22-2-20000220000000000000-2000
χ10222222222-2-22-2-20000-2-200000000000002000
χ1122222222-22-2-22-2002200000000000000-20000
χ1222222222-22-2-22-200-2-20000000000000020000
χ1322222222-2-22-2-222200000000000000000000-2
χ1422222222-2-22-2-22-2-2000000000000000000002
χ15222-2-2-22-200-20022-20000i2i2−i2−i2i2i2−i2−i2000000000
χ16222-2-2-22-200-20022-20000−i2−i2i2i2−i2−i2i2i2000000000
χ17222-2-2-22-200-2002-220000i2i2−i2−i2−i2−i2i2i2000000000
χ18222-2-2-22-200-2002-220000−i2−i2i2i2i2i2−i2−i2000000000
χ1922-2-22-2-220200-20002-200i2−i2i2−i20000i2i2−i2−i200000
χ2022-2-22-2-220200-20002-200−i2i2−i2i20000−i2−i2i2i200000
χ2122-2-22-2-220200-2000-2200i2−i2i2−i20000−i2−i2i2i200000
χ2222-2-22-2-220200-2000-2200−i2i2−i2i20000i2i2−i2−i200000
χ232-22-2-22-22200-20000002-20000i2−i2i2−i2i2−i2i2−i200000
χ242-22-2-22-22200-20000002-20000−i2i2−i2i2−i2i2−i2i200000
χ252-22-2-22-22200-2000000-220000i2−i2i2−i2−i2i2−i2i200000
χ262-22-2-22-22200-2000000-220000−i2i2−i2i2i2−i2i2−i200000
χ27444-4-4-44-400400-400000000000000000000000
χ2844-44-44-4-40000000000002-2-220000000000000
χ2944-44-44-4-4000000000000-222-20000000000000
χ3044-4-44-4-440-4004000000000000000000000000
χ314-4444-4-4-400000000000000002-2-22000000000
χ324-4444-4-4-40000000000000000-222-2000000000
χ334-44-4-44-44-40040000000000000000000000000
χ344-4-44-4-444000000000000000000002-2-2200000
χ354-4-44-4-44400000000000000000000-222-200000
χ364-4-4-4444-4000000000000000000000000002-20
χ374-4-4-4444-400000000000000000000000000-220

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