Finite Group Databasebeta

← Group #260808

Character table — Group #260808

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-111111-1-11111-11-1-11-11-1111-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-1-11111-11-1-11-11-1-1-11-111-1-111-1-111-1-111
χ11111111111-1-1-1-111111-1-11111-1-11-1-11-1111-11-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-111111-1-11111-1-11-1-11-11-1-1-1111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-1-1-111-11-11-11111-1-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-111111-1-1-1-1-1-111-11-11-11-1-11-11111-1-1-1-11111-1-1
χ15111111111-1-1-1-111111-1-1-1-1-1-11-1111-11-111-11-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-1-1-11-1111-11-1-1-1-111111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-22-2-22000000002-2-22000000000000000000
χ1822222222222-2-2-2-2-22-2-2200000000-222-2000000000000000000
χ19222222222-2-222-2-2-22-22-20000000022-2-2000000000000000000
χ20222222222-2-222-2-2-22-22-200000000-2-222000000000000000000
χ2122222222-222222-2-2-22-2-200000220000000-2-200000000000000
χ2222222222-222222-2-2-22-2-200000-2-200000002200000000000000
χ2322222222-222-2-2-222-2-22-222-2-2200-20000000000000000000000
χ2422222222-222-2-2-222-2-22-2-2-222-20020000000000000000000000
χ2522222222-2-2-222-222-2-2-2222-2-2-20020000000000000000000000
χ2622222222-2-2-222-222-2-2-22-2-222200-20000000000000000000000
χ2722222222-2-2-2-2-22-2-2-2222000002-20000000-2200000000000000
χ2822222222-2-2-2-2-22-2-2-222200000-2200000002-200000000000000
χ2922-22-2-2-2220000-22-2-22002i−2i2i−2i0000000000002-2002i−2i00000000
χ3022-22-2-2-2220000-22-2-22002i−2i2i−2i000000000000-2200−2i2i00000000
χ3122-22-2-2-2220000-22-2-2200−2i2i−2i2i0000000000002-200−2i2i00000000
χ3222-22-2-2-2220000-22-2-2200−2i2i−2i2i000000000000-22002i−2i00000000
χ3322-22-2-2-22-2000022-22-2002i−2i−2i2i000000002i−2i00002-20000000000
χ3422-22-2-2-22-2000022-22-2002i−2i−2i2i00000000−2i2i0000-220000000000
χ3522-22-2-2-22-2000022-22-200−2i2i2i−2i000000002i−2i0000-220000000000
χ3622-22-2-2-22-2000022-22-200−2i2i2i−2i00000000−2i2i00002-20000000000
χ3744-44-4-4-44400004-44-4-400000000000000000000000000000000
χ3844-44-4-4-44-40000-4-444400000000000000000000000000000000
χ3944-4-444-4-404-4000000000000000000000000000000000002i−2i2i−2i
χ4044-4-444-4-404-400000000000000000000000000000000000−2i2i−2i2i
χ4144-4-444-4-40-44000000000000000000000000000000000002i−2i−2i2i
χ4244-4-444-4-40-4400000000000000000000000000000000000−2i2i2i−2i
χ434-4-4-44-4440004-4000000000000000000000000000002-22-20000
χ444-4-4-44-4440004-400000000000000000000000000000-22-220000
χ454-4-4-44-444000-44000000000000000000000000000002-2-220000
χ464-4-4-44-444000-4400000000000000000000000000000-222-20000
χ47888-8-8-88-8000000000000000000000000000000000000000000
χ488-8888-8-8-8000000000000000000000000000000000000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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