Finite Group Databasebeta

← Group #279239

Character table — Group #279239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244444888888888888888161616161616161616161616161632323232
order12222244444444488244488888888888444488888888884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ711111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ9111111111111111-1-11111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-11-1
χ10111111111111111-1-11111-1-1-111111111-1-111-1-1-1-1-1-111-1-1-11-11
χ11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-11-11
χ12111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-11-1
χ13111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11-1-11
χ14111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-11
χ1722222222-2-222-2-2-2222-2-222-2-2000000000000-22000000000000
χ1822222222-2-222-2-2-222-222-22-2-20000000000002-2000000000000
χ1922222222-2-222-2-2-2-2-22-2-22-2220000000000002-2000000000000
χ2022222222-2-222-2-2-2-2-2-222-2-222000000000000-22000000000000
χ212222-2-22-2222-22-2-20022-2-2000000000002-200000000002-20000
χ222222-2-22-2222-22-2-20022-2-200000000000-220000000000-220000
χ232222-2-22-2222-22-2-200-2-222000000000002-20000000000-220000
χ242222-2-22-2222-22-2-200-2-22200000000000-2200000000002-20000
χ252222-2-22-2-2-22-2-222002-22-200000000000002i−2i0000002i−2i000000
χ262222-2-22-2-2-22-2-222002-22-20000000000000−2i2i000000−2i2i000000
χ272222-2-22-2-2-22-2-22200-22-2200000000000002i−2i000000−2i2i000000
χ282222-2-22-2-2-22-2-22200-22-220000000000000−2i2i0000002i−2i000000
χ292222-2-2-2222-22-22-2220000-22-222-2-200000000002-20000000000
χ302222-2-2-2222-22-22-2220000-22-2-2-2220000000000-220000000000
χ312222-2-2-2222-22-22-2-2-200002-2222-2-20000000000-220000000000
χ322222-2-2-2222-22-22-2-2-200002-22-2-22200000000002-20000000000
χ332222-2-2-22-2-2-222-22220000-2-2200002i2i−2i−2i000000002i−2i00000000
χ342222-2-2-22-2-2-222-22220000-2-220000−2i−2i2i2i00000000−2i2i00000000
χ352222-2-2-22-2-2-222-22-2-2000022-200002i2i−2i−2i00000000−2i2i00000000
χ362222-2-2-22-2-2-222-22-2-2000022-20000−2i−2i2i2i000000002i−2i00000000
χ37444444-4-444-4-4-4-4400000000000000000000000000000000000
χ38444444-4-4-4-4-4-444-400000000000000000000000000000000000
χ394-4-444-44-400-4400000000000000002i2−2i22i2−2i2000000000000000000
χ404-4-444-44-400-440000000000000000−2i22i2−2i22i2000000000000000000
χ414-4-444-4-44004-40000000000002i2−2i22i2−2i20000000000000000000000
χ424-4-444-4-44004-4000000000000−2i22i2−2i22i20000000000000000000000
χ434-4-44-444400-4-40000000000002i2−2i2−2i22i20000000000000000000000
χ444-4-44-444400-4-4000000000000−2i22i22i2−2i20000000000000000000000
χ454-4-44-44-4-40044000000000000000022−22−2222000000000000000000
χ464-4-44-44-4-400440000000000000000−222222−22000000000000000000
χ4788-8-80000000000042−42000000000000000000000000000000000
χ4888-8-800000000000−4242000000000000000000000000000000000
χ498-88-800008-80000000000000000000000000000000000000000
χ508-88-80000-880000000000000000000000000000000000000000

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