Finite Group Databasebeta

← Group #300522

Character table — Group #300522

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222444444444448888888888888161616161616161616161616161632323232
order12222244444448888882444888888888224444444488884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111-1-1-1-11111111111-11-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1111111111-11-11-1-111-1-1-1-1-1-1-1-111
χ71111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111
χ81111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-11-11-1-11111-1-11111-1-1
χ91111111111111-1-1-1-1-1-11111-11111-1-1-1-111-111-1-1-111-1-1-1-11-11-1
χ101111111111111-1-1-1-1-1-11111-11111-1-1-1-1-1-11-1-111111-1-1-1-1-11-11
χ111111111111111-1-1-1-1-1-11111-1-1-1-1-1111111-111-1-1-1-1-1-1-111-11-11
χ121111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-11-1-1111-1-1-1-1111-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11-111-1-111111-1-11
χ141111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-11-1-1-1-11111-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-1111111-1-1-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-11111-1-11-1-11
χ1722222222-22-2-2-22222-2-20000-200000000020-2002-20000000000
χ1822222222-22-2-2-22222-2-20000-2000000000-20200-220000000000
χ1922222222-22-2-2-2-2-2-2-2220000200000000020-200-220000000000
χ2022222222-22-2-2-2-2-2-2-22200002000000000-202002-20000000000
χ21222222-2-2-2-22-220000002-22-2022-2-20000000000002-200000000
χ22222222-2-2-2-22-220000002-22-20-2-222000000000000-2200000000
χ23222222-2-2-2-22-22000000-22-22022-2-2000000000000-2200000000
χ24222222-2-2-2-22-22000000-22-220-2-2220000000000002-200000000
χ252222-2-2222-2-2-2222-2-22222-2-2-20000000000000000002-2000000
χ262222-2-2222-2-2-2222-2-222-2-222-2000000000000000000-22000000
χ272222-2-2222-2-2-22-2-222-2-222-2-22000000000000000000-22000000
χ282222-2-2222-2-2-22-2-222-2-2-2-22220000000000000000002-2000000
χ292222-2-222-2-222-222-2-2-2-2000020000000020-20-22000000000000
χ302222-2-222-2-222-222-2-2-2-20000200000000-20202-2000000000000
χ312222-2-222-2-222-2-2-222220000-2000000002020-2-2000000000000
χ322222-2-222-2-222-2-2-222220000-200000000-20-2022000000000000
χ332222-2-2-2-2-22-2220000002-2-220000022-2-20000000000002-20000
χ342222-2-2-2-2-22-2220000002-2-2200000-2-222000000000000-220000
χ352222-2-2-2-2-22-222000000-222-20000022-2-2000000000000-220000
χ362222-2-2-2-2-22-222000000-222-200000-2-2220000000000002-20000
χ37444444-4-44-4-44-40000000000000000000000000000000000000
χ384444-4-4-4-4444-4-40000000000000000000000000000000000000
χ394-44-44-400000002i2−2i22i2−2i20000000002i2−2i22-22-2000000000000000000
χ404-44-44-400000002i2−2i22i2−2i2000000000−2i22i2-22-22000000000000000000
χ414-44-44-40000000−2i22i2−2i22i20000000002i2−2i2-22-22000000000000000000
χ424-44-44-40000000−2i22i2−2i22i2000000000−2i22i22-22-2000000000000000000
χ434-44-4-4400000002i2−2i2−2i22i200000002i2−2i2002-2-22000000000000000000
χ444-44-4-4400000002i2−2i2−2i22i20000000−2i22i200-222-2000000000000000000
χ454-44-4-440000000−2i22i22i2−2i200000002i2−2i200-222-2000000000000000000
χ464-44-4-440000000−2i22i22i2−2i20000000−2i22i2002-2-22000000000000000000
χ4788-8-8008-8000000000000000000000000000000000000000000
χ4888-8-800-88000000000000000000000000000000000000000000
χ498-8-8800000000000004i2−4i20000000000000000000000000000000
χ508-8-880000000000000−4i24i20000000000000000000000000000000

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