Finite Group Databasebeta

← Group #103232

Character table — Group #103232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222222224444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ51111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ92222222222222222-2-2-2-2-2-200000000000022-2-2000000000000
χ102222222222222222-2-2-2-2-2-2000000000000-2-222000000000000
χ11222222222222-2-2-2-222-2-22-20000000022-2-20000000000000000
χ12222222222222-2-2-2-222-2-22-200000000-2-2220000000000000000
χ13222222222222-2-2-2-2-2-222-22000022-2-200000000000000000000
χ14222222222222-2-2-2-2-2-222-220000-2-22200000000000000000000
χ1522222222-2-2-2-222-2-22222-2-222-2-2000000000000000000000000
χ1622222222-2-2-2-222-2-22222-2-2-2-222000000000000000000000000
χ1722222222-2-2-2-222-2-2-2-2-2-22200000000000000002i2i−2i−2i00000000
χ1822222222-2-2-2-222-2-2-2-2-2-2220000000000000000−2i−2i2i2i00000000
χ1922222222-2-2-2-2-2-22222-2-2-2200000000000000000000000022-2-2
χ2022222222-2-2-2-2-2-22222-2-2-22000000000000000000000000-2-222
χ2122222222-2-2-2-2-2-222-2-2222-20000000000000000000022-2-20000
χ2222222222-2-2-2-2-2-222-2-2222-200000000000000000000-2-2220000
χ2322-222-2-2-22-22-22-2-22000000000000000000002-20000i2−i2i2−i2i2−i2i2−i2
χ2422-222-2-2-22-22-22-2-22000000000000000000002-20000−i2i2−i2i2−i2i2−i2i2
χ2522-222-2-2-22-22-22-2-2200000000000000000000-220000i2−i2i2−i2−i2i2−i2i2
χ2622-222-2-2-22-22-22-2-2200000000000000000000-220000−i2i2−i2i2i2−i2i2−i2
χ2722-222-2-2-2-22-22-22-220000000000000000002-2000000i2−i2−i2i2i2−i2−i2i2
χ2822-222-2-2-2-22-22-22-220000000000000000002-2000000−i2i2i2−i2−i2i2i2−i2
χ2922-222-2-2-2-22-22-22-22000000000000000000-22000000i2−i2−i2i2−i2i2i2−i2
χ3022-222-2-2-2-22-22-22-22000000000000000000-22000000−i2i2i2−i2i2−i2−i2i2
χ31444-4-4-44-444-4-4000000000000000000000000002-22-200000000
χ32444-4-4-44-444-4-400000000000000000000000000-22-2200000000
χ33444-4-4-44-4-4-444000000000000000000000000002i−2i−2i2i00000000
χ34444-4-4-44-4-4-44400000000000000000000000000−2i2i2i−2i00000000
χ3544-444-4-4-44-44-4-444-40000000000000000000000000000000000
χ3644-444-4-4-4-44-444-44-40000000000000000000000000000000000
χ3744-4-4-44-444-4-4400000000002i−2i2i−2i000000000000000000000000
χ3844-4-4-44-444-4-440000000000−2i2i−2i2i000000000000000000000000
χ3944-4-4-44-44-444-400000000002i−2i−2i2i000000000000000000000000
χ4044-4-4-44-44-444-40000000000−2i2i2i−2i000000000000000000000000
χ414-444-4-4-44000000004-4000000002i−2i2i−2i00000000000000000000
χ424-444-4-4-44000000004-400000000−2i2i−2i2i00000000000000000000
χ434-444-4-4-4400000000-44000000002i−2i−2i2i00000000000000000000
χ444-444-4-4-4400000000-4400000000−2i2i2i−2i00000000000000000000
χ454-4-4-44-44400000000004-400000000002-22-20000000000000000
χ464-4-4-44-44400000000004-40000000000-22-220000000000000000
χ474-4-4-44-4440000000000-4400000000002-2-220000000000000000
χ484-4-4-44-4440000000000-440000000000-222-20000000000000000
χ498-88-888-8-8000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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