Finite Group Databasebeta

← Group #333136

Character table — Group #333136

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444444488888888888888161616161616161616161616161632323232
order12224444442444888888888888888888224444448888882488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111111-1-1-1-11-1-11-111-1-1-1-11-1
χ31111111111111111111111-1-111111111-1-1-11-1-11-1-11-1-111-1-1-11
χ41111111111111111111111-1-1-1-1111111-111-11-1-11-1-1-1-1-1-111-1-1
χ5111111111111111111-1-1-1-11111-1-1-1-111-111-11-1-11111111-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-11-1-11-11-111-1-111-11
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-11-1-1-11-1-111111-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ911111111111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11-1-11
χ1011111111111111-1-1-1-111-1-111-1-111-1-1-1-11-111-11111-1-1-111-11-1-1
χ1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-11-1111-1-1-1111
χ1211111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-111-11-1-1-111111-11-1
χ1311111111111111-1-1-1-1-1-1111111-1-111-1-1-11-111-11-111-1-1-1-1-111-1
χ1411111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1111-111
χ1511111111111111-1-1-1-1-1-111-1-111-1-111-1-11-111-1111-1111-1-11-1-1-1
χ1611111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-11-11
χ17222222-2-222-2-22-22222000000000000-2-202-20-20020000000000
χ18222222-2-222-2-22-22222000000000000-2-20-220200-20000000000
χ19222222-2-222-2-22-2-2-2-2-2000000000000220220-200-20000000000
χ20222222-2-222-2-22-2-2-2-2-2000000000000220-2-2020020000000000
χ2122222-2222-2-2-2-22000022002200-2-20000-20000200-2000000000
χ2222222-2222-2-2-2-2200002200-2-200-2-2000020000-2002000000000
χ2322222-2222-2-2-2-220000-2-200220022000020000-200-2000000000
χ2422222-2222-2-2-2-220000-2-200-2-200220000-200002002000000000
χ252222-2222-22-22-2-200000022002200-2-200000200-200-200000000
χ262222-2222-22-22-2-20000002200-2-200-2-200000-200200200000000
χ272222-2222-22-22-2-2000000-2-20022002200000-200200-200000000
χ282222-2222-22-22-2-2000000-2-200-2-2002200000200-200200000000
χ2944444-4-4-44-444-4-4000000000000000000000000000000000000
χ304444-44-4-4-444-4-44000000000000000000000000000000000000
χ314444-4-444-4-44-44-4000000000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000000000
χ3344-4-4-40004000002i22i2−2i2−2i2000022−220000000000000000002i−2i000000
χ3444-4-4-40004000002i22i2−2i2−2i20000−2222000000000000000000−2i2i000000
χ3544-4-4-4000400000−2i2−2i22i22i2000022−22000000000000000000−2i2i000000
χ3644-4-4-4000400000−2i2−2i22i22i20000−22220000000000000000002i−2i000000
χ374-44-4004-40000002i−2i2i−2i0000000022−222i2−2i22i−2i000000000000000000
χ384-44-4004-40000002i−2i2i−2i00000000−2222−2i22i22i−2i000000000000000000
χ394-44-4004-4000000−2i2i−2i2i0000000022−22−2i22i2−2i2i000000000000000000
χ404-44-4004-4000000−2i2i−2i2i00000000−22222i2−2i2−2i2i000000000000000000
χ414-44-400-440000002i−2i2i−2i22−222i2−2i200000000−2i2i000000000000000000
χ424-44-400-440000002i−2i2i−2i−2222−2i22i200000000−2i2i000000000000000000
χ434-44-400-44000000−2i2i−2i2i22−22−2i22i2000000002i−2i000000000000000000
χ444-44-400-44000000−2i2i−2i2i−22222i2−2i2000000002i−2i000000000000000000
χ454-4-440-40004000022−22−222200000022−220000000000000000002-20000
χ464-4-440-40004000022−22−2222000000−2222000000000000000000-220000
χ474-4-440-400040000−222222−2200000022−22000000000000000000-220000
χ484-4-440-400040000−222222−22000000−22220000000000000000002-20000
χ4988-8-88000-800000000000000000000000000000000000000000
χ508-8-8808000-80000000000000000000000000000000000000000

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