Finite Group Databasebeta

← Group #263170

Character table — Group #263170

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222224444488888881616161616161616161616161616161616161616161616161616
order12222244444444488244488822444444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-111-111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1
χ3111111111111111111111111-11-1-11-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111
χ511111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1
χ611111111111111111-1-1-1-11111-111-11-1-1-1-111-111-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1111-11-1-11-11111-1-1-1-1-1-1-1-1-1-1111111
χ811111111111111111-1-1-1-1111-1-1-1-1-1-1111111-1111111-1-1-1-1-1-1-1
χ9111111111111111-1-11111-1-1-111-111-111-1-1-1-1-11111-1-1-1-1-111-1-1
χ10111111111111111-1-11111-1-1-11-1-11-1-111-1-111-1-1-1-1-111-111-1-111
χ11111111111111111-1-11111-1-1-1-111-111-1-111-1-1-111-1-111-1-1-1-1-111
χ12111111111111111-1-11111-1-1-1-1-11-1-11-1-11111-1-1-111-1-1-11111-1-1
χ13111111111111111-1-1-1-1-1-1-1-1-111-111-1-1-111111-1-111-1-11-1-1-1-111
χ14111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1111-1-11111111-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1111-1-1-1-1111-1-111-1-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111-1-1111-1-111
χ17222222222-2-22-2-2-2222-22-2-2-220000000000002000000-2000000
χ18222222222-2-22-2-2-222-22-22-2-22000000000000-20000002000000
χ19222222222-2-22-2-2-2-2-22-22-222-2000000000000-20000002000000
χ20222222222-2-22-2-2-2-2-2-22-2222-20000000000002000000-2000000
χ212222-2-222-222-2-2-22002-2-220000200-2000000002-200000000000
χ222222-2-222-222-2-2-22002-2-220000-200200000000-2200000000000
χ232222-2-222-222-2-2-2200-222-20000200-200000000-2200000000000
χ242222-2-222-222-2-2-2200-222-20000-2002000000002-200000000000
χ252222-2-222-2-2-2-222-20022-2-200000000000002i−2i000000002i−2i0000
χ262222-2-222-2-2-2-222-20022-2-20000000000000−2i2i00000000−2i2i0000
χ272222-2-222-2-2-2-222-200-2-22200000000000002i−2i00000000−2i2i0000
χ282222-2-222-2-2-2-222-200-2-2220000000000000−2i2i000000002i−2i0000
χ292222-2-2-2-222222-2-22200002-2-2202-20-200000000000000000000
χ302222-2-2-2-222222-2-22200002-2-2-20-220200000000000000000000
χ312222-2-2-2-222222-2-2-2-20000-22220-2-20200000000000000000000
χ322222-2-2-2-222222-2-2-2-20000-222-20220-200000000000000000000
χ332222-2-2-2-22-2-22-222220000-22-20000002-22-20000000000000000
χ342222-2-2-2-22-2-22-222220000-22-2000000-22-220000000000000000
χ352222-2-2-2-22-2-22-222-2-200002-220000002-2-220000000000000000
χ362222-2-2-2-22-2-22-222-2-200002-22000000-222-20000000000000000
χ37444444-4-4-444-4-44-400000000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4400000000000000000000000000000000000
χ394-44-44-44-4400-400000000000000000000000000022−22000000000
χ404-44-44-44-4400-4000000000000000000000000000−2222000000000
χ414-44-44-4-44-40040000000000000000000000000000000000002i2−2i2
χ424-44-44-4-44-4004000000000000000000000000000000000000−2i22i2
χ434-44-4-444-4-400400000000000000000000000000000000002i2−2i200
χ444-44-4-444-4-40040000000000000000000000000000000000−2i22i200
χ454-44-4-44-44400-4000000000000000000000000000002i2−2i20000000
χ464-44-4-44-44400-400000000000000000000000000000−2i22i20000000
χ4788-8-80000000000042−42000000000000000000000000000000000
χ4888-8-800000000000−4242000000000000000000000000000000000
χ498-8-88000008-8000000000000000000000000000000000000000
χ508-8-8800000-88000000000000000000000000000000000000000

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