Finite Group Databasebeta

← Group #484913

Character table — Group #484913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244444444444444444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-111-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-11-1-1-11-1-11111-1-1-1-11111
χ511111111111111-1-111-1-111111111-111-11-11-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111-1-111-1-1111111-11-1-1-1-11-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-111-1-1-1-1-1-1111-1111-1-111-111-1-1-1-1-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-111-1-11-1-1-1-11-1-11111111111-1-1-1-1
χ9111111-1-1-1-1-1-11111-1-11111-1-111111-1-1-1-1-11-11-111-1-111-1-111-1-1
χ10111111-1-1-1-1-1-11111-1-11111-1-111-11111-1-1-1-1-11-1-1-111-1-111-1-111
χ11111111-1-1-1-1-1-11111-1-111-1-111111-1-1-1-1-1111-1-11-1-11111-1-1-1-111
χ12111111-1-1-1-1-1-11111-1-111-1-11111-1-1-111-111-1-1-1111-1-1-1-11111-1-1
χ13111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-11-1111-1111-1-1-1-111-1-111
χ14111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-11-1111-11-11-11-1-11111-1-111-1-1
χ15111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-111-1111-1-1-111-1-11111-1-1
χ16111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-1-111-111-1-111-1-1-1-111
χ172222222222222200-2-2002222-2-20-20000-200000000000000000
χ182222222222222200-2-200-2-2-2-2-2-2020000200000000000000000
χ192222222222-2-2-2-2002-20000002-20020000200-2-2000000000000
χ202222222222-2-2-2-2002-20000002-200-20000-20022000000000000
χ212222222222-2-2-2-222-22-2-20000-22000002000-200000000000000
χ222222222222-2-2-2-2-2-2-22220000-2200000-2000200000000000000
χ23222222-2-2-2-222-2-200-220000002-20020000-200-22000000000000
χ24222222-2-2-2-222-2-200-220000002-200-200002002-2000000000000
χ25222222-2-2-2-222-2-2222-2-2-20000-2200000-2000200000000000000
χ26222222-2-2-2-222-2-2-2-22-2220000-22000002000-200000000000000
χ27222222-2-2-2-2-2-22200220022-2-2-2-20-20000200000000000000000
χ28222222-2-2-2-2-2-222002200-2-222-2-2020000-200000000000000000
χ292-2-222-22i2i−2i−2i2i−2i2-20000002-22i−2i000000000000000000i2−i22−2i2−i22−2
χ302-2-222-22i2i−2i−2i2i−2i2-20000002-22i−2i000000000000000000−i2i2−22−i2i2−22
χ312-2-222-22i2i−2i−2i2i−2i2-2000000-22−2i2i000000000000000000i2−i22−2−i2i2−22
χ322-2-222-22i2i−2i−2i2i−2i2-2000000-22−2i2i000000000000000000−i2i2−22i2−i22−2
χ332-2-222-2−2i−2i2i2i−2i2i2-20000002-2−2i2i000000000000000000i2−i2−22i2−i2−22
χ342-2-222-2−2i−2i2i2i−2i2i2-20000002-2−2i2i000000000000000000−i2i22−2−i2i22−2
χ352-2-222-2−2i−2i2i2i−2i2i2-2000000-222i−2i000000000000000000i2−i2−22−i2i22−2
χ362-2-222-2−2i−2i2i2i−2i2i2-2000000-222i−2i000000000000000000−i2i22−2i2−i2−22
χ374444-4-44-44-400000000000000002002-2000-2000000000000000
χ384444-4-44-44-40000000000000000-200-220002000000000000000
χ394444-4-4-44-440000000000000000200-22000-2000000000000000
χ404444-4-4-44-440000000000000000-2002-20002000000000000000
χ414-4-444-44i4i−4i−4i−4i4i-44000000000000000000000000000000000000
χ424-4-444-4−4i−4i4i4i4i−4i-44000000000000000000000000000000000000
χ434-4-44-444i−4i−4i4i00000000000000000000000000002i−2i2-200000000
χ444-4-44-444i−4i−4i4i0000000000000000000000000000−2i2i-2200000000
χ454-4-44-44−4i4i4i−4i00000000000000000000000000002i−2i-2200000000
χ464-4-44-44−4i4i4i−4i0000000000000000000000000000−2i2i2-200000000
χ4788-8-8000000000000004-4000000000000000000000000000000
χ4888-8-800000000000000-44000000000000000000000000000000
χ498-88-800000000004-40000000000000000000000000000000000
χ508-88-80000000000-440000000000000000000000000000000000

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