Finite Group Databasebeta

← Group #300377

Character table — Group #300377

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222222448888888888888888161616161616161616161616161632323232
order12222244444444442444444488888888224444448888884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-11-1-11
χ511111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-111-1-11-1-11
χ811111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1111-1-111-1-1-111-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ101111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111-1-1
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11-111-1-111111-11-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-11-1-1-1-11111-11-11
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-11111-1-111-11-11
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-111-1-1111-11-1
χ172222222-2-222-2-22-2-22-2-2222-2-200000000000000002-200000000
χ182222222-2-222-2-22-2-22-2-22-2-2220000000000000000-2200000000
χ192222222-2-222-2-22-2-2-222-222-2-20000000000000000-2200000000
χ202222222-2-222-2-22-2-2-222-2-2-22200000000000000002-200000000
χ21222222-2-2-2-2-222-2-220000000022-2-20000002-2002-20000000000
χ22222222-2-2-2-2-222-2-220000000022-2-2000000-2200-220000000000
χ23222222-2-2-2-2-222-2-2200000000-2-2220000002-200-220000000000
χ24222222-2-2-2-2-222-2-2200000000-2-222000000-22002-20000000000
χ252222-2-2222-2-2-2-22-2222-2-20000000022-2-200000000002-2000000
χ262222-2-2222-2-2-2-22-2222-2-200000000-2-2220000000000-22000000
χ272222-2-2222-2-2-2-22-22-2-2220000000022-2-20000000000-22000000
χ282222-2-2222-2-2-2-22-22-2-22200000000-2-22200000000002-2000000
χ292222-2-22-2-2-2-22222-22-22-200002-22-200000000000000002-20000
χ302222-2-22-2-2-2-22222-22-22-20000-22-220000000000000000-220000
χ312222-2-22-2-2-2-22222-2-22-2200002-22-20000000000000000-220000
χ322222-2-22-2-2-2-22222-2-22-220000-22-2200000000000000002-20000
χ332222-2-2-2222222-2-2-2000000002-2-2200002200-2-2000000000000
χ342222-2-2-2222222-2-2-2000000002-2-220000-2-20022000000000000
χ352222-2-2-2222222-2-2-200000000-222-200002-200-22000000000000
χ362222-2-2-2222222-2-2-200000000-222-20000-22002-2000000000000
χ37444444-444-4-4-4-4-44-40000000000000000000000000000000000
χ384444-4-4-4-4-444-4-4-4440000000000000000000000000000000000
χ394-4-444-44004-400-4000000004i−4i00000000000000000000000000
χ404-4-444-44004-400-400000000−4i4i00000000000000000000000000
χ414-4-444-4-400-440040000000000000022−2222−22000000000000000000
χ424-4-444-4-400-4400400000000000000−2222−2222000000000000000000
χ434-4-44-44400-4400-40000004i−4i0000000000000000000000000000
χ444-4-44-44400-4400-4000000−4i4i0000000000000000000000000000
χ454-4-44-44-4004-40040000000000000022−22−2222000000000000000000
χ464-4-44-44-4004-400400000000000000−222222−22000000000000000000
χ4788-8-800000008-80000000000000000000000000000000000000
χ4888-8-80000000-880000000000000000000000000000000000000
χ498-88-80008-800000000000000000000000000000000000000000
χ508-88-8000-8800000000000000000000000000000000000000000

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