Finite Group Databasebeta

← Group #254513

Character table — Group #254513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244224444444444444444444444424444444488884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-11-11-1
χ4111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111-11-11
χ511111111111111111-1-1-1-1111111-1-1-1-111-1-111111-1-11111-1-1-1-1
χ611111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1-1-11-11
χ811111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-111-1-1111-11-1
χ911111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111-1-1
χ1011111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1111-1-11
χ1211111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-111-1
χ1311111111111-1-1-1-111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-1-111
χ1411111111111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1111111-1-1
χ1511111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-111-111-1
χ1611111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-11-1-11
χ1722222222-2-222222-2-2000022-2-2-2-2000022000000-20000000000
χ1822222222-2-222222-2-20000-2-222-2-20000-2-200000020000000000
χ1922222222-2-22-2-2-2-2-2-2000022-2-2220000-2-200000020000000000
χ2022222222-2-22-2-2-2-2-2-20000-2-22222000022000000-20000000000
χ21222222-2-222-20000-2-222-2-22-22-20000000000000002-200000000
χ22222222-2-222-20000-2-222-2-2-22-22000000000000000-2200000000
χ23222222-2-222-20000-2-2-2-2222-22-2000000000000000-2200000000
χ24222222-2-222-20000-2-2-2-222-22-220000000000000002-200000000
χ25222222-2-2-2-2-200002200002-2-220022-2-2002-2000000000000000
χ26222222-2-2-2-2-200002200002-2-2200-2-22200-22000000000000000
χ27222222-2-2-2-2-20000220000-222-20022-2-200-22000000000000000
χ28222222-2-2-2-2-20000220000-222-200-2-222002-2000000000000000
χ292222-2-2-2-22-222i2i−2i−2i2-2000000002i−2i00000000002-2000002i−2i0000
χ302222-2-2-2-22-222i2i−2i−2i2-2000000002i−2i0000000000-2200000−2i2i0000
χ312222-2-2-2-22-22−2i−2i2i2i2-200000000−2i2i00000000002-200000−2i2i0000
χ322222-2-2-2-22-22−2i−2i2i2i2-200000000−2i2i0000000000-22000002i−2i0000
χ332222-2-2-2-2-2222i2i−2i−2i-2200000000−2i2i000000002-2000002i−2i000000
χ342222-2-2-2-2-2222i2i−2i−2i-2200000000−2i2i00000000-2200000−2i2i000000
χ352222-2-2-2-2-222−2i−2i2i2i-22000000002i−2i000000002-200000−2i2i000000
χ362222-2-2-2-2-222−2i−2i2i2i-22000000002i−2i00000000-22000002i−2i000000
χ374444-4-4444-4-40000-44000000000000000000000000000000000
χ384444-4-444-44-400004-4000000000000000000000000000000000
χ394-44-4004i−4i0002+2i−2−2i2−2i−2+2i002i−2i2-20000002-22i−2i0000000000000000000
χ404-44-4004i−4i0002+2i−2−2i2−2i−2+2i00−2i2i-22000000-22−2i2i0000000000000000000
χ414-44-4004i−4i000−2−2i2+2i−2+2i2−2i002i−2i2-2000000-22−2i2i0000000000000000000
χ424-44-4004i−4i000−2−2i2+2i−2+2i2−2i00−2i2i-220000002-22i−2i0000000000000000000
χ434-44-400−4i4i0002−2i−2+2i2+2i−2−2i002i−2i-22000000-222i−2i0000000000000000000
χ444-44-400−4i4i0002−2i−2+2i2+2i−2−2i00−2i2i2-20000002-2−2i2i0000000000000000000
χ454-44-400−4i4i000−2+2i2−2i−2−2i2+2i002i−2i-220000002-2−2i2i0000000000000000000
χ464-44-400−4i4i000−2+2i2−2i−2−2i2+2i00−2i2i2-2000000-222i−2i0000000000000000000
χ4788-8-88-800000000000000000000000000000000000000000000
χ4888-8-8-8800000000000000000000000000000000000000000000
χ498-8-880000000000000000000000000004i−4i00000000000000000
χ508-8-88000000000000000000000000000−4i4i00000000000000000

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