Finite Group Databasebeta

← Group #290041

Character table — Group #290041

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244444888888888888888161616161616161616161616161632323232
order12222244444444488444488888888888244444888888884488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1
χ511111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1
χ811111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ9111111111111111-1-11111-1-1-111111111-1-111-1-1-1-1-1-111-1-1-111-1
χ10111111111111111-1-11111-1-1-111111111-1-1-1-111-1-111-1-1-1-11-1-11
χ11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1
χ12111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11
χ13111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11-1-11
χ14111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-11-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111-11-1
χ1722222222-2-222-2-2-22222-2-22-2-2000000002-20000000000000000
χ1822222222-2-222-2-2-222-2-2222-2-200000000-220000000000000000
χ1922222222-2-222-2-2-2-2-222-2-2-22200000000-220000000000000000
χ2022222222-2-222-2-2-2-2-2-2-222-222000000002-20000000000000000
χ21222222-2-2-2-2-2-2-2220000000002i2i−2i−2i000000002-2002i−2i00000000
χ22222222-2-2-2-2-2-2-2220000000002i2i−2i−2i00000000-2200−2i2i00000000
χ23222222-2-2-2-2-2-2-222000000000−2i−2i2i2i000000002-200−2i2i00000000
χ24222222-2-2-2-2-2-2-222000000000−2i−2i2i2i00000000-22002i−2i00000000
χ252222-2-22-222-22-22-20000000002-22-20000002-20000002-2000000
χ262222-2-22-222-22-22-20000000002-22-2000000-22000000-22000000
χ272222-2-22-222-22-22-2000000000-22-220000002-2000000-22000000
χ282222-2-22-222-22-22-2000000000-22-22000000-220000002-2000000
χ292222-2-2-22222-2-2-22220000-22-2000022-2-20000002-20000000000
χ302222-2-2-22222-2-2-22220000-22-20000-2-222000000-220000000000
χ312222-2-2-22222-2-2-22-2-200002-22000022-2-2000000-220000000000
χ322222-2-2-22222-2-2-22-2-200002-220000-2-2220000002-20000000000
χ332222-2-2-22-2-22-222-2220000-2-222i−2i−2i2i00000000000000002i−2i0000
χ342222-2-2-22-2-22-222-2220000-2-22−2i2i2i−2i0000000000000000−2i2i0000
χ352222-2-2-22-2-22-222-2-2-2000022-22i−2i−2i2i0000000000000000−2i2i0000
χ362222-2-2-22-2-22-222-2-2-2000022-2−2i2i2i−2i00000000000000002i−2i0000
χ37444444-4-444-4-44-4-400000000000000000000000000000000000
χ384444-4-44-4-4-4-444-4400000000000000000000000000000000000
χ394-44-44-44-4004-4000000000000000022−2222−22000000000000000000
χ404-44-44-44-4004-40000000000000000−2222−2222000000000000000000
χ414-44-44-4-4400-4400000004i−4i00000000000000000000000000000
χ424-44-44-4-4400-440000000−4i4i00000000000000000000000000000
χ434-44-4-444400-4-4000004-40000000000000000000000000000000
χ444-44-4-444400-4-400000-440000000000000000000000000000000
χ454-44-4-44-4-40044000000000000000022−22−2222000000000000000000
χ464-44-4-44-4-400440000000000000000−222222−22000000000000000000
χ4788-8-800008-80000000000000000000000000000000000000000
χ4888-8-80000-880000000000000000000000000000000000000000
χ498-8-88000000000004i2−4i2000000000000000000000000000000000
χ508-8-8800000000000−4i24i2000000000000000000000000000000000

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