Finite Group Databasebeta

← Group #168213

Character table — Group #168213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222244444444444488888888888888888888161616161616161616161616161616161616
order12222222444422444444444444448888888888888888222444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-1-11-111-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-11111-11-111-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-11-1-111111-1-1111111-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-11-1-111111-1-1111111-1-1-1-1-1-1-1-111111-11-1-1111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111111111-1-1-1-111-1-11-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111111111-1-1-1-11-11-1-1111-1-111-1-1-1-111
χ1722222222222222-2-22-2-2-2-2-2-2222220000000000000000-200-200000000000000
χ1822222222222222-2-22-2-2-2-2-2-22-2-2-2-20000000000000000200200000000000000
χ19222222222222-2-222-2-2-2-2-222-2000000000000000000000220-2-2000000000000
χ20222222222222-2-222-2-2-2-2-222-2000000000000000000000-2-2022000000000000
χ21222222222222-2-2-2-2-22222-2-2-2000000000000000000000000002-22-200000000
χ22222222222222-2-2-2-2-22222-2-2-200000000000000000000000000-22-2200000000
χ2322222222-2-2-2-22222-2-2-222-2-2-2000000000000000000000000002-2-2200000000
χ2422222222-2-2-2-22222-2-2-222-2-2-200000000000000000000000000-222-200000000
χ2522222222-2-2-2-222-2-2-222-2-222-20000000000000000000002-20-22000000000000
χ2622222222-2-2-2-222-2-2-222-2-222-2000000000000000000000-2202-2000000000000
χ2722222222-2-2-2-2-2-222222-2-2-2-2222-2-20000000000000000200-200000000000000
χ2822222222-2-2-2-2-2-222222-2-2-2-22-2-2220000000000000000-200200000000000000
χ292-2-222-2-2222-2-22-2002000000-22i−2i2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000000000
χ302-2-222-2-2222-2-22-2002000000-22i−2i2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000000000
χ312-2-222-2-2222-2-22-2002000000-2−2i2i−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000000000
χ322-2-222-2-2222-2-22-2002000000-2−2i2i−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000000000
χ332-2-222-2-22-2-222-22002000000-22i−2i−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000
χ342-2-222-2-22-2-222-22002000000-22i−2i−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000
χ352-2-222-2-22-2-222-22002000000-2−2i2i2i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000
χ362-2-222-2-22-2-222-22002000000-2−2i2i2i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000
χ37444-4-4-4-440000004-4000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ38444-4-4-4-440000004-400000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ39444-4-4-4-44000000-44000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ40444-4-4-4-44000000-4400000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ4144-44-44-4-4000000000004-4000000000002i2−2i22i2−2i200000000000000000000000000
χ4244-44-44-4-4000000000004-400000000000−2i22i2−2i22i200000000000000000000000000
χ4344-44-44-4-400000000000-4400000002i2−2i22i2−2i2000000000000000000000000000000
χ4444-44-44-4-400000000000-440000000−2i22i2−2i22i2000000000000000000000000000000
χ4544-4-44-44-44-44-40000000000000000000000000000000000000000002i−2i2i−2i0000
χ4644-4-44-44-44-44-4000000000000000000000000000000000000000000−2i2i−2i2i0000
χ4744-4-44-44-4-44-440000000000000000000000000000000000000000002i−2i−2i2i0000
χ4844-4-44-44-4-44-44000000000000000000000000000000000000000000−2i2i2i−2i0000
χ494-444-4-44-40000000004-40000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ504-444-4-44-40000000004-4000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ514-444-4-44-4000000000-440000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ524-444-4-44-4000000000-44000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ534-44-444-4-44-4-4400000000000000000000000000000000000000000000002i−2i2i−2i
χ544-44-444-4-44-4-440000000000000000000000000000000000000000000000−2i2i−2i2i
χ554-44-444-4-4-444-400000000000000000000000000000000000000000000002i−2i−2i2i
χ564-44-444-4-4-444-40000000000000000000000000000000000000000000000−2i2i2i−2i
χ574-4-444-4-4444-4-4-4400-4000000400000000000000000000000000000000000000
χ584-4-444-4-44-4-4444-400-4000000400000000000000000000000000000000000000
χ594-4-4-4-444400000000000004-40000000000000000022−22−2222000000000000000000
χ604-4-4-4-444400000000000004-400000000000000000−222222−22000000000000000000
χ614-4-4-4-44440000000000000-44000000000000022−22−22220000000000000000000000
χ624-4-4-4-44440000000000000-440000000000000−222222−220000000000000000000000

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