Finite Group Databasebeta

← Group #25847

Character table — Group #25847

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444444444444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-111-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-11-1
χ61111111111111111-1-111-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-111-11
χ71111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-111111-1-1-1-111-11
χ81111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-11111-1-11-1
χ9111111111111-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-111
χ10111111111111-1-1-1-111111111-1-1-1-1-1-11-1-11-1-111111111-1-1
χ11111111111111-1-1-1-111-1-1-1-1111111-1-1-111-111-1-1-1-11111-1-1
χ12111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1111111-1-1-1-111
χ13111111111111-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-111-1-111-1-1111-1
χ14111111111111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-111-1-1-11
χ15111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1111-1-1-1-11111-1-1-11
χ16111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-111-1-1-1-1111-1
χ1722222222-2-2-2-20000222222-2-2000000-200-2000000000000
χ1822222222-2-2-2-2000022-2-2-2-2-2-20000002002000000000000
χ1922222222-2-2-2-20000-2-222-2-222000000-2002000000000000
χ2022222222-2-2-2-20000-2-2-2-22222000000200-2000000000000
χ2122-22-22-2-222-2-222-2-200000000002-200000000002-2000000
χ2222-22-22-2-222-2-222-2-20000000000-220000000000-22000000
χ2322-22-22-2-222-2-2-2-22200000000002-20000000000-22000000
χ2422-22-22-2-222-2-2-2-2220000000000-2200000000002-2000000
χ252-22-222-2-22-22-22-22-2000000002-200000000002-200000000
χ262-22-222-2-22-22-22-22-200000000-220000000000-2200000000
χ272-22-222-2-22-22-2-22-22000000002-20000000000-2200000000
χ282-22-222-2-22-22-2-22-2200000000-2200000000002-200000000
χ292-2-2-2-22222-2-222-2-222-200002-200002-20000000000000000
χ302-2-2-2-22222-2-222-2-22-220000-220000-220000000000000000
χ312-2-2-2-22222-2-22-222-22-200002-20000-220000000000000000
χ322-2-2-2-22222-2-22-222-2-220000-2200002-20000000000000000
χ332-2-2-2-2222-222-200002-20000-2200000002-202-20000000000
χ342-2-2-2-2222-222-200002-20000-220000000-220-220000000000
χ352-2-2-2-2222-222-20000-2200002-200000002-20-220000000000
χ362-2-2-2-2222-222-20000-2200002-20000000-2202-20000000000
χ37444-4-4-4-4400000000000000000000000000000000002i2−2i200
χ38444-4-4-4-440000000000000000000000000000000000−2i22i200
χ3944-44-44-4-4-4-4440000000000000000000000000000000000
χ4044-4-44-44-400000000004-400000000000000000000000000
χ4144-4-44-44-40000000000-4400000000000000000000000000
χ424-444-4-44-40000000000004-4000000000000000000000000
χ434-444-4-44-4000000000000-44000000000000000000000000
χ444-44-444-4-4-44-440000000000000000000000000000000000
χ454-4-444-4-440000000000000000000000000000000022−220000
χ464-4-444-4-4400000000000000000000000000000000−22220000

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