Finite Group Databasebeta

← Group #23929

Character table — Group #23929

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222244442222444422222444444444444488888888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111
χ511111111111111-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11111
χ711111111111111-1-111-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1111111-111-1-11111-1-1-1-1
χ9111111111111-1-111-1-111-11111-1-1-1-111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-111-111-1-1-1-1-1-1-1-111-11111-1-111-1-111
χ11111111111111-1-111-1-111-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111
χ12111111111111-1-111-1-111-1-1-1-1-11111-1-111-1-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11-1-111-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111-1-1-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-11111111-1-1-1-111
χ1722222222-2-2-2-22222-2-2-2-2-20000000000002000000000000
χ1822222222-2-2-2-222-2-2-2-2222000000000000-2000000000000
χ1922222222-2-2-2-2-2-22222-2-22000000000000-2000000000000
χ2022222222-2-2-2-2-2-2-2-22222-20000000000002000000000000
χ2122-2-2-22-2222-2-2002-2002-2000000000002-20002-200000000
χ2222-2-2-22-2222-2-2002-2002-200000000000-22000-2200000000
χ2322-2-2-22-2222-2-200-2200-22000000000002-2000-2200000000
χ2422-2-2-22-2222-2-200-2200-2200000000000-220002-200000000
χ2522-2-2-22-22-2-222002-200-220002-200002-2000000000000000
χ2622-2-2-22-22-2-222002-200-22000-220000-22000000000000000
χ2722-2-2-22-22-2-22200-22002-20002-20000-22000000000000000
χ2822-2-2-22-22-2-22200-22002-2000-2200002-2000000000000000
χ292-22-2-2-2222-22-22-2002-20000000002-2000002-20000000000
χ302-22-2-2-2222-22-22-2002-2000000000-2200000-220000000000
χ312-22-2-2-2222-22-2-2200-220000000002-200000-220000000000
χ322-22-2-2-2222-22-2-2200-22000000000-22000002-20000000000
χ332-22-2-2-222-22-222-200-220002-2002-20000000000000000000
χ342-22-2-2-222-22-222-200-22000-2200-220000000000000000000
χ352-22-2-2-222-22-22-22002-20002-200-220000000000000000000
χ362-22-2-2-222-22-22-22002-2000-22002-20000000000000000000
χ374444-4-4-4-400000000000000000000000000000022−22000000
χ384444-4-4-4-4000000000000000000000000000000−2222000000
χ3944-4-44-44-400000000000000000000000000000000002i2−2i200
χ4044-4-44-44-40000000000000000000000000000000000−2i22i200
χ414-44-444-4-4000000000000000000000000000000002i2−2i20000
χ424-44-444-4-400000000000000000000000000000000−2i22i20000
χ434-4-444-4-444-4-440000000000000000000000000000000000
χ444-4-444-4-44-444-40000000000000000000000000000000000
χ454-4-44-444-400000000000000000000000000000000000022−22
χ464-4-44-444-4000000000000000000000000000000000000−2222

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