Finite Group Databasebeta

← Group #328993

Character table — Group #328993

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-11-11-1-1-11-1-11-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-11-11-1-1-11-1-11-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-11-1-1-111-1111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-111-11-1-1-1-1-1-1-1-111111111
χ911111111111111-1-1-1-111-1-111-1-1-11-111-1-1111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-111-1-111-1-1-11-111-1-11-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-111-1-11-1-1111-1-1-111-111-1-1-1-11111-1-1-1-111
χ1211111111111111-1-1-1-111-1-11-1-1111-1-1-111-1-1-11111-1-1-1-11111-1-1
χ1311111111111111-1-1-1-111-1-1-111-11-111-11-1-111-1-1-1-111-1-11111-1-1
χ1411111111111111-1-1-1-111-1-1-111-11-111-11-1-1-1-11111-1-111-1-1-1-111
χ1511111111111111-1-1-1-111-1-1-1-111-1-11-11-11111-1-111-1-1-1-111-1-111
χ1611111111111111-1-1-1-111-1-1-1-111-1-11-11-111-1-111-1-11111-1-111-1-1
χ17222222222222-2-222-2-2-2-22-200002000-2-2020000000000000000
χ18222222222222-2-222-2-2-2-22-20000-2000220-20000000000000000
χ19222222222222-2-2-2-222-2-2-22000020002-20-20000000000000000
χ20222222222222-2-2-2-222-2-2-220000-2000-22020000000000000000
χ2122222222-2-2-2-22-222222-2-2-20202000-200-200000000000000000
χ2222222222-2-2-2-22-222222-2-2-20-20-2000200200000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-222020-2000-200200000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-2220-202000200-200000000000000000
χ2522222222-2-2-2-2-2222-2-2-22-2220200-2-2000000000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-22-20-20022000000000000000000000
χ2722222222-2-2-2-2-22-2-222-222-220-200-22000000000000000000000
χ2822222222-2-2-2-2-22-2-222-222-2-202002-2000000000000000000000
χ294444-4-4-4-40000004-400000000000000000000002-22-200000000
χ304444-4-4-4-40000004-40000000000000000000000-22-2200000000
χ314444-4-4-4-4000000-4400000000000000000000002-2-2200000000
χ324444-4-4-4-4000000-440000000000000000000000-222-200000000
χ3344-4-444-4-444-4-44-40000-44000000000000000000000000000000
χ3444-4-444-4-444-4-4-4400004-4000000000000000000000000000000
χ3544-4-444-4-4-4-444440000-4-4000000000000000000000000000000
χ3644-4-444-4-4-4-444-4-4000044000000000000000000000000000000
χ374-44-4-444-44-44-4000000000000000000000000000000002i2−2i20000
χ384-44-4-444-44-44-400000000000000000000000000000000−2i22i20000
χ394-44-4-444-4-44-440000000000000000000000000000002i2−2i2000000
χ404-44-4-444-4-44-44000000000000000000000000000000−2i22i2000000
χ414-4-444-44-4000000004-400000000000000002i−2i2i−2i000000000000
χ424-4-444-44-4000000004-40000000000000000−2i2i−2i2i000000000000
χ434-4-444-44-400000000-4400000000000000002i−2i−2i2i000000000000
χ444-4-444-44-400000000-440000000000000000−2i2i2i−2i000000000000
χ454-4-44-44-444-4-4400000000000000000000000000000000000022−22
χ464-4-44-44-444-4-44000000000000000000000000000000000000−2222
χ474-4-44-44-44-444-4000000000000000000000000000000000022−2200
χ484-4-44-44-44-444-40000000000000000000000000000000000−222200
χ4988-8-8-8-888000000000000000000000000000000000000000000
χ508-88-88-8-88000000000000000000000000000000000000000000

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