Finite Group Databasebeta

← Group #333167

Character table — Group #333167

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444444488888888888888161616161616161616161616161632323232
order12224444442444888888888888888888224444448888882488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111111-1-1-11-1-1-11-111-1-1-1-11-1
χ31111111111111111111111-1-111111111-1-11-1-11-1-1-11-1-111-1-1-11
χ41111111111111111111111-1-1-1-1111111-11-11-1-111-1-1-1-1-1-111-1-1
χ5111111111111111111-1-1-1-11111-1-1-1-111-11-11-1-111111111-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11-1-11-1-11-111-1-111-11
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1111-1-1-11-1-1-1-11-1-111111-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ911111111111111-1-1-1-111-1-1111111-1-1-1-11-1-1-11-11111-1-1-1-11-1-11
χ1011111111111111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-11-1-1-111-11-1-1
χ1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1111-1-1-1111
χ1211111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-111111-11-1
χ1311111111111111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-111111-1-1-1-1-111-1
χ1411111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-1-1-1-11-1-1-1111-111
χ1511111111111111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1111-1-11-1-1-1
χ1611111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1-11-111-1-11111-11-11
χ17222222-2-222-22-2-22222000000000000-2-2020-2002-20000000000
χ18222222-2-222-22-2-22222000000000000-2-20-20200-220000000000
χ19222222-2-222-22-2-2-2-2-2-200000000000022020-200-220000000000
χ20222222-2-222-22-2-2-2-2-2-2000000000000220-202002-20000000000
χ2122222-2222-2-2-22-200000022002200-2-20000-2002000-200000000
χ2222222-2222-2-2-22-20000002200-2-200-2-20000200-2000200000000
χ2322222-2222-2-2-22-2000000-2-2002200220000200-2000-200000000
χ2422222-2222-2-2-22-2000000-2-200-2-200220000-2002000200000000
χ252222-2222-22-2-2-22000022002200-2-20000-20002000-2000000000
χ262222-2222-22-2-2-2200002200-2-200-2-200002000-20002000000000
χ272222-2222-22-2-2-220000-2-20022002200002000-2000-2000000000
χ282222-2222-22-2-2-220000-2-200-2-200220000-200020002000000000
χ2944444-4-4-44-44-4-44000000000000000000000000000000000000
χ304444-44-4-4-444-44-4000000000000000000000000000000000000
χ314444-4-444-4-444-4-4000000000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000000000
χ3344-4-4004-40000002i2i−2i−2i000000002i2−2i222−222i−2i000000000000000000
χ3444-4-4004-40000002i2i−2i−2i00000000−2i22i2−22222i−2i000000000000000000
χ3544-4-4004-4000000−2i−2i2i2i000000002i2−2i2−2222−2i2i000000000000000000
χ3644-4-4004-4000000−2i−2i2i2i00000000−2i22i222−22−2i2i000000000000000000
χ3744-4-400-440000002i2i−2i−2i2i2−2i222−2200000000−2i2i000000000000000000
χ3844-4-400-440000002i2i−2i−2i−2i22i2−222200000000−2i2i000000000000000000
χ3944-4-400-44000000−2i−2i2i2i2i2−2i2−2222000000002i−2i000000000000000000
χ4044-4-400-44000000−2i−2i2i2i−2i22i222−22000000002i−2i000000000000000000
χ414-44-404000-4000022−2222−2200002i2−2i20000000000000000002i−2i000000
χ424-44-404000-4000022−2222−220000−2i22i2000000000000000000−2i2i000000
χ434-44-404000-40000−2222−222200002i2−2i2000000000000000000−2i2i000000
χ444-44-404000-40000−2222−22220000−2i22i20000000000000000002i−2i000000
χ454-4-444000-4000002i2−2i2−2i22i200000022−220000000000000000002i−2i0000
χ464-4-444000-4000002i2−2i2−2i22i2000000−2222000000000000000000−2i2i0000
χ474-4-444000-400000−2i22i22i2−2i200000022−22000000000000000000−2i2i0000
χ484-4-444000-400000−2i22i22i2−2i2000000−22220000000000000000002i−2i0000
χ498-88-80-800080000000000000000000000000000000000000000
χ508-8-88-8000800000000000000000000000000000000000000000

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