Finite Group Databasebeta

← Group #272594

Character table — Group #272594

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444488888888888888816161616161616161616161616161616323232
order12224444442444442244444888888882444448888888888288
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-111-1-1-1-1111-1-1-1-111-1-1-1
χ311111111111111111111111-1-111-1-1-1-11111111-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11
χ611111111111111111-1-111-1-111-1-111111-1-1111-11-1-1-1-1-1-1-1-111-1
χ711111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1
χ811111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11111-1-11
χ911111111111-1-1111-111-1-1111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-11-11
χ1011111111111-1-1111-111-1-11111-1-1-1-1-1-1-1-1-1-111-11111111-1-1-11-1
χ1111111111111-1-1111-111-1-111-1-11111111-1-11-1-11-1-1-1-1-11111-11-1
χ1211111111111-1-1111-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111-11
χ1311111111111-1-1111-1-1-1-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1-1-111-111
χ1411111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11-1-11111111-1-1
χ1511111111111-1-1111-1-1-1-1-1-1-1-1-1111111-111-1111-111-1-111-1-11-1-1
χ1611111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111
χ17222222-22-22-222-22-222-2-2-22-20000000002-20000000000000000
χ18222222-22-22-222-22-22-22-2-2-22000000000-220000000000000000
χ19222222-22-22-2-2-2-22-2-22-2222-2000000000-220000000000000000
χ20222222-22-22-2-2-2-22-2-2-2222-220000000002-20000000000000000
χ2122222-2222-2-222-2-22-2002-200220022-2-20000000-200000000000
χ2222222-2222-2-222-2-22-2002-200-2-200-2-2220000000200000000000
χ2322222-2222-2-2-2-2-2-22200-22002200-2-2220000000-200000000000
χ2422222-2222-2-2-2-2-2-22200-2200-2-20022-2-20000000200000000000
χ2522222-2-22-2-22222-2-2-200-220000000000000000002i−2i00002i−2i000
χ2622222-2-22-2-22222-2-2-200-22000000000000000000−2i2i0000−2i2i000
χ2722222-2-22-2-22-2-22-2-22002-20000000000000000002i−2i0000−2i2i000
χ2822222-2-22-2-22-2-22-2-22002-2000000000000000000−2i2i00002i−2i000
χ292222-222-222-2002-2-202-200-2200220000-200200-2000000000000
χ302222-222-222-2002-2-202-200-2200-2-20000200-2002000000000000
χ312222-222-222-2002-2-20-22002-200220000200-200-2000000000000
χ322222-222-222-2002-2-20-22002-200-2-20000-2002002000000000000
χ332222-22-2-2-22200-2-2202200-2-20000000000002-200002-20000000
χ342222-22-2-2-22200-2-2202200-2-2000000000000-220000-220000000
χ352222-22-2-2-22200-2-220-2-200220000000000002-20000-220000000
χ362222-22-2-2-22200-2-220-2-20022000000000000-2200002-20000000
χ374444-4-44-44-4400-44-40000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4004440000000000000000000000000000000000
χ394-44-40040-400000000000000002i2−2i20022−220000000000002i−2i00000
χ404-44-40040-400000000000000002i2−2i200−2222000000000000−2i2i00000
χ414-44-40040-40000000000000000−2i22i20022−22000000000000−2i2i00000
χ424-44-40040-40000000000000000−2i22i200−22220000000000002i−2i00000
χ434-4-44400-40004i−4i000000000022−22002i2−2i2000000000000000000000
χ444-4-44400-40004i−4i0000000000−222200−2i22i2000000000000000000000
χ454-4-44400-4000−4i4i000000000022−2200−2i22i2000000000000000000000
χ464-4-44400-4000−4i4i0000000000−2222002i2−2i2000000000000000000000
χ4788-8-808000-80000000000000000000000000000000000000000
χ4888-8-80-800080000000000000000000000000000000000000000
χ498-88-800-80800000000000000000000000000000000000000000
χ508-8-88-8008000000000000000000000000000000000000000000

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