Finite Group Databasebeta

← Group #300379

Character table — Group #300379

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222222448888888888888888161616161616161616161616161632323232
order12222244444444442444444488888888222244448888884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11-11
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
χ711111111111111111111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-111-1-1-11-11
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-11-1111-1-111-1-11-11-1
χ91111111111111111-1-1-1-111111111111111-1-1-111-1-1-1-1-1-1-111-1-1
χ101111111111111111-1-1-1-1111111111111-1-1111-1-11-1-1-1-1-1-1-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-11-1-111111-1-11
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-1-11111-111-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1111-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1111-111-1-1111-1-11
χ17222222222-2-2-2-22-2-22-22-222-2-200000000000000002-200000000
χ18222222222-2-2-2-22-2-22-22-2-2-2220000000000000000-2200000000
χ19222222222-2-2-2-22-2-2-22-2222-2-20000000000000000-2200000000
χ20222222222-2-2-2-22-2-2-22-22-2-22200000000000000002-200000000
χ21222222-2-2-2-2-222-2-220000000022-2-200002-20002-200000000000
χ22222222-2-2-2-2-222-2-220000000022-2-20000-22000-2200000000000
χ23222222-2-2-2-2-222-2-2200000000-2-22200002-2000-2200000000000
χ24222222-2-2-2-2-222-2-2200000000-2-2220000-220002-200000000000
χ252222-2-22-2-222-2-22-222-2-220000000022-2-200000000002-2000000
χ262222-2-22-2-222-2-22-222-2-2200000000-2-2220000000000-22000000
χ272222-2-22-2-222-2-22-22-222-20000000022-2-20000000000-22000000
χ282222-2-22-2-222-2-22-22-222-200000000-2-22200000000002-2000000
χ292222-2-22-2-2-2-22222-222-2-200002-22-200000000000000002-20000
χ302222-2-22-2-2-2-22222-222-2-20000-22-220000000000000000-220000
χ312222-2-22-2-2-2-22222-2-2-22200002-22-20000000000000000-220000
χ322222-2-22-2-2-2-22222-2-2-2220000-22-2200000000000000002-20000
χ332222-2-2-2222222-2-2-2000000002-2-2200000022-200-20000000000
χ342222-2-2-2222222-2-2-2000000002-2-22000000-2-220020000000000
χ352222-2-2-2222222-2-2-200000000-222-20000002-2-20020000000000
χ362222-2-2-2222222-2-2-200000000-222-2000000-22200-20000000000
χ37444444-4-4-444-4-4-44-40000000000000000000000000000000000
χ384444-4-4-444-4-4-4-4-4440000000000000000000000000000000000
χ394-44-44-444-40000-4000000000000002i2−2i22i2−2i2000000000000000000
χ404-44-44-444-40000-400000000000000−2i22i2−2i22i2000000000000000000
χ414-44-44-4-4-44000040000004-40000000000000000000000000000
χ424-44-44-4-4-4400004000000-440000000000000000000000000000
χ434-44-4-444-440000-4000000000000002i2−2i2−2i22i2000000000000000000
χ444-44-4-444-440000-400000000000000−2i22i22i2−2i2000000000000000000
χ454-44-4-44-44-400004000000004-400000000000000000000000000
χ464-44-4-44-44-40000400000000-4400000000000000000000000000
χ4788-8-800000008-80000000000000000000000000000000000000
χ4888-8-80000000-880000000000000000000000000000000000000
χ498-8-88000008-8000000000000000000000000000000000000000
χ508-8-8800000-88000000000000000000000000000000000000000

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