Finite Group Databasebeta

← Group #248250

Character table — Group #248250

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444444444444444444244444444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-111-1-1111-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-111-1-1-1-1-1-11-1-1-1-11111-1-111-1-111-1-11-1
χ61111111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-11
χ71111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-111111-1-1-1-111-11
χ81111111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-111-1-11111-1-11-1
χ9111111111111111-1-1-1-111111111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-111
χ10111111111111111-1-1-1-11111111111-1-1-1-1-11-1-1-1-1-111111111-1-1
χ11111111111111111-1-1-1-111-1-111-1-1-1-11-1-111-111111-1-1-1-11111-1-1
χ12111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111
χ13111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-1111-1-111-1-1111-1
χ14111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-11111-1-111-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1111-1-1-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-11111-11111-111-1-1-111-1-1-1-1111-1
χ1722222222-2-222-2-2-200002222-2-2-2-22200000-2000000000000000
χ1822222222-2-222-2-2-2000022-2-2-2-222-2-2000002000000000000000
χ1922222222-2-222-2-2-20000-2-2222222-2-200000-2000000000000000
χ2022222222-2-222-2-2-20000-2-2-2-222-2-222000002000000000000000
χ21222222-2-222-2-22-2-222-2-22-2002-2000002-2000000000000000000
χ22222222-2-222-2-22-2-222-2-2-2200-2200000-22000000000000000000
χ23222222-2-222-2-22-2-2-2-2222-2002-200000-22000000000000000000
χ24222222-2-222-2-22-2-2-2-222-2200-22000002-2000000000000000000
χ25222222-2-2-2-2-2-2-22200002-200-2200000000002-202-20000000000
χ26222222-2-2-2-2-2-2-22200002-200-220000000000-220-220000000000
χ27222222-2-2-2-2-2-2-2220000-22002-200000000002-20-220000000000
χ28222222-2-2-2-2-2-2-2220000-22002-20000000000-2202-20000000000
χ292222-2-22-2222-2-22-22-22-200000000000002-2000000002-2000000
χ302222-2-22-2222-2-22-22-22-20000000000000-2200000000-22000000
χ312222-2-22-2222-2-22-2-22-2200000000000002-200000000-22000000
χ322222-2-22-2222-2-22-2-22-220000000000000-22000000002-2000000
χ332222-2-2-2222-22-2-222-2-22000000000020000000-2002-200000000
χ342222-2-2-2222-22-2-222-2-220000000000-20000000200-2200000000
χ352222-2-2-2222-22-2-22-222-2000000000020000000-200-2200000000
χ362222-2-2-2222-22-2-22-222-20000000000-200000002002-200000000
χ374444-4-44-4-4-44-44-4400000000000000000000000000000000000
χ384444-4-4-44-4-4-4444-400000000000000000000000000000000000
χ394-4-444-44400-4-40000000000000000000000000000000022−220000
χ404-4-444-44400-4-400000000000000000000000000000000−22220000
χ414-4-444-4-4-4004400000000000000000000000000000000002i2−2i200
χ424-4-444-4-4-400440000000000000000000000000000000000−2i22i200
χ434-4-44-444-400-4400000000000004i−4i00000000000000000000000
χ444-4-44-444-400-440000000000000−4i4i00000000000000000000000
χ454-4-44-44-44004-40000000004i−4i000000000000000000000000000
χ464-4-44-44-44004-4000000000−4i4i000000000000000000000000000
χ4788-8-8000000000000000000000004-4000000000000000000000
χ4888-8-800000000000000000000000-44000000000000000000000
χ498-88-800008-80000000000000000000000000000000000000000
χ508-88-80000-880000000000000000000000000000000000000000

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