Finite Group Databasebeta

← Group #484367

Character table — Group #484367

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244442244224444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-11-1-11111-1-1-1-11111
χ511111111111111-1-1111111-1-11111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ711111111111111-1-111-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-1-111111111-1-1-1-1
χ9111111-1-1-1-111-1-111-1-111-1-111111-1-11-11-11-1-11-111-1-111-1-111-1-1
χ10111111-1-1-1-111-1-111-1-111-1-11111-11-1-111-11-1-11-1-1-111-1-111-1-111
χ11111111-1-1-1-111-1-111-1-1-1-11111111-1-11-1-11-11-1-11-1-11111-1-1-1-111
χ12111111-1-1-1-111-1-111-1-1-1-1111111-11-1-11-11-11-1-1111-1-1-1-11111-1-1
χ13111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-111-1-11-1111-111-1-1-1-111-1-111
χ14111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-111-11-11-1111-1-1-11111-1-111-1-1
χ15111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111-111-11-11-11-11-1-111-1-11111-1-1
χ16111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-111-111-11-11-1111-1-111-1-1-1-111
χ172222222222222200-2-2222200-2-20000000000-2-2000000000000
χ182222222222222200-2-2-2-2-2-200-2-2000000000022000000000000
χ192222222222-2-2-2-200-220000002-20000022-2-2000000000000000
χ202222222222-2-2-2-200-220000002-200000-2-222000000000000000
χ212222222222-2-2-2-2222-20000-2-2-22002000000-200000000000000
χ222222222222-2-2-2-2-2-22-2000022-2200-2000000200000000000000
χ23222222-2-2-2-222-2-2002222-2-200-2-20000000000-22000000000000
χ24222222-2-2-2-222-2-20022-2-22200-2-200000000002-2000000000000
χ25222222-2-2-2-2-2-222002-20000002-2000002-2-22000000000000000
χ26222222-2-2-2-2-2-222002-20000002-200000-222-2000000000000000
χ27222222-2-2-2-2-2-22222-220000-2-2-2200-2000000200000000000000
χ28222222-2-2-2-2-2-222-2-2-22000022-22002000000-200000000000000
χ292-22-2-2222-2-22-22-200002i−2i2i−2i000000000000000000002−22−2i2−i2i2−i2
χ302-22-2-2222-2-22-22-200002i−2i2i−2i00000000000000000000−22−22−i2i2−i2i2
χ312-22-2-2222-2-22-22-20000−2i2i−2i2i000000000000000000002−22−2−i2i2−i2i2
χ322-22-2-2222-2-22-22-20000−2i2i−2i2i00000000000000000000−22−22i2−i2i2−i2
χ332-22-2-22-2-2222-2-2200002i−2i−2i2i000000000000000000002−2−22i2−i2−i2i2
χ342-22-2-22-2-2222-2-2200002i−2i−2i2i00000000000000000000−222−2−i2i2i2−i2
χ352-22-2-22-2-2222-2-220000−2i2i2i−2i000000000000000000002−2−22−i2i2i2−i2
χ362-22-2-22-2-2222-2-220000−2i2i2i−2i00000000000000000000−222−2i2−i2−i2i2
χ374444-4-44-44-40000000000000000220-2-20000000000000000000
χ384444-4-44-44-40000000000000000-2-20220000000000000000000
χ394444-4-4-44-4400000000000000002-20-220000000000000000000
χ404444-4-4-44-440000000000000000-2202-20000000000000000000
χ414-44-44-44-4-4400000000000000000000000000002i−2i2i−2i00000000
χ424-44-44-44-4-440000000000000000000000000000−2i2i−2i2i00000000
χ434-44-44-4-444-400000000000000000000000000002i−2i−2i2i00000000
χ444-44-44-4-444-40000000000000000000000000000−2i2i2i−2i00000000
χ454-44-4-4444-4-4-44-44000000000000000000000000000000000000
χ464-44-4-44-4-444-444-4000000000000000000000000000000000000
χ4788-8-80000000000000000004-400000000000000000000000000
χ4888-8-8000000000000000000-4400000000000000000000000000
χ498-8-8800000000004-40000000000000000000000000000000000
χ508-8-880000000000-440000000000000000000000000000000000

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