Finite Group Databasebeta

← Group #278629

Character table — Group #278629

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222444444888888888881616161616161616161616161616161632323232
order12224444442444882444888888844888888888888884488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-11-1-111111-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1111-111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1111111111-11-1-1-1111-1-1-1-1-1-111-1-1
χ61111111111111111-1-1-1-11111111-1-1-1111-1-1-11-1-1-1-111-1-111
χ71111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-111-11111-1-1-1-111
χ81111111111111111-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ911111111111111-1-11111-111-1-1-1-111-1-111-1-1-1111-1-1-1-11-11-1
χ1011111111111111-1-11111-111-1-1-1-1-1-1-1-1-1-1-111111-1-111-11-11
χ1111111111111111-1-11111-1-1-1-1-11111-1111-1-1-1-1-1-111-1-1-11-11
χ1211111111111111-1-11111-1-1-1-1-111-1-1-11-1-1-111-1-1-111111-11-1
χ1311111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-11-1-11-1-111111-1-11
χ1411111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11-1111111-1-111-1-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-111-1-111-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111111-111-1-1-1-11-1-11
χ17222222-2-222-22-2-2220000-2222-222000-200000-20000000000
χ18222222-2-222-22-2-2220000-2-2-22-2-2-200020000020000000000
χ19222222-2-222-22-2-2-2-20000222-22-2-2000200000-20000000000
χ20222222-2-222-22-2-2-2-200002-2-2-2222000-20000020000000000
χ2122222-2222-2-2-2-22222-22-2-200-2200002000-20000000000000
χ2222222-2222-2-2-2-2222-22-22-200-220000-200020000000000000
χ2322222-2222-2-2-2-22-2-22-22-22002-20000-200020000000000000
χ2422222-2222-2-2-2-22-2-2-22-222002-200002000-20000000000000
χ2522222-2-2-22-22-22-2220000200-2-20000000000002i−2i2i−2i000000
χ2622222-2-2-22-22-22-2220000200-2-2000000000000−2i2i−2i2i000000
χ2722222-2-2-22-22-22-2-2-20000-200220000000000002i−2i−2i2i000000
χ2822222-2-2-22-22-22-2-2-20000-20022000000000000−2i2i2i−2i000000
χ292222-2222-22-2-22-2002-2-2200000002-2002-200000000000000
χ302222-2222-22-2-22-2002-2-220000000-2200-2200000000000000
χ312222-2222-22-2-22-200-222-200000002-200-2200000000000000
χ322222-2222-22-2-22-200-222-20000000-22002-200000000000000
χ332222-2-222-2-222-2-20022-2-2000000000000002i−2i000002i−2i0000
χ342222-2-222-2-222-2-20022-2-200000000000000−2i2i00000−2i2i0000
χ352222-2-222-2-222-2-200-2-222000000000000002i−2i00000−2i2i0000
χ362222-2-222-2-222-2-200-2-22200000000000000−2i2i000002i−2i0000
χ374444-44-4-4-444-4-44000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4444000000000000000000000000000000000
χ394-44-4-40004000004i−4i000002i2−2i20022−2200000000000000000000
χ404-44-4-40004000004i−4i00000−2i22i200−222200000000000000000000
χ414-44-4-4000400000−4i4i000002i2−2i200−222200000000000000000000
χ424-44-4-4000400000−4i4i00000−2i22i20022−2200000000000000000000
χ4388-8-8008-8000000000000000000000000000000000000000
χ4488-8-800-88000000000000000000000000000000000000000
χ458-88-88000-800000000000000000000000000000000000000
χ468-8-8808000-80000000000000000000000000000000000000
χ478-8-880-800080000000000000000000000000000000000000

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