Finite Group Databasebeta

← Group #169708

Character table — Group #169708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444448888888888888888888888881616161616161616161616163232
order12222222444444444444444422444444888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1
χ911111111-1-1-1-1-1-11-1-1-1-11111111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-11-1
χ1011111111-1-1-1-1-1-11-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-1-111-11
χ1111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-11-11-11-1-111-11
χ1211111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-11-1111-1-11-1
χ1311111111-1-1-1-1-1-11-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-111-1-1111-1-1-11
χ1411111111-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-111-1-11-1-1111-1
χ1511111111-1-1-1-1-1-11-1-1-1-111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1111-1
χ1611111111-1-1-1-1-1-11-1-1-1-111111-1-111-1-111-1-1-1-111111111-1-1-1-1-111-1-111-111-1-1-11
χ1722222222222222-2-2-2-2-2-222-2-2000000000000000000000000002200-2-2000000
χ1822222222222222-2-2-2-2-2-222-2-200000000000000000000000000-2-20022000000
χ19222222222222-2-2222-2-2-2-2-22-20000222200000000000000000000-2-200000000
χ20222222222222-2-2222-2-2-2-2-22-20000-2-2-2-2000000000000000000002200000000
χ21222222222222-2-2-2-2-2222-2-2-22222200000000000000000000-2-2000000000000
χ22222222222222-2-2-2-2-2222-2-2-22-2-2-2-20000000000000000000022000000000000
χ2322222222-2-2-2-2222-2-222-2-2-22-2000022-2-200000000000000000000-2200000000
χ2422222222-2-2-2-2222-2-222-2-2-22-20000-2-222000000000000000000002-200000000
χ2522222222-2-2-2-222-222-2-22-2-2-2222-2-200000000000000000000-22000000000000
χ2622222222-2-2-2-222-222-2-22-2-2-22-2-222000000000000000000002-2000000000000
χ2722222222-2-2-2-2-2-2-22222-222-2-2000000000000000000000000002-200-22000000
χ2822222222-2-2-2-2-2-2-22222-222-2-200000000000000000000000000-22002-2000000
χ292-222-22-2-222-2-200-22-2000002000002i−2i2i−2i22−2−222−2−20000000000000000i2−i2i2−i200
χ302-222-22-2-222-2-200-22-2000002000002i−2i2i−2i−2−222−2−2220000000000000000−i2i2−i2i200
χ312-222-22-2-222-2-200-22-200000200000−2i2i−2i2i22−2−222−2−20000000000000000−i2i2−i2i200
χ322-222-22-2-222-2-200-22-200000200000−2i2i−2i2i−2−222−2−2220000000000000000i2−i2i2−i200
χ332-222-22-2-2-2-22200-2-22000002000002i−2i−2i2i22−2−2−2−2220000000000000000i2−i2−i2i200
χ342-222-22-2-2-2-22200-2-22000002000002i−2i−2i2i−2−22222−2−20000000000000000−i2i2i2−i200
χ352-222-22-2-2-2-22200-2-2200000200000−2i2i2i−2i22−2−2−2−2220000000000000000−i2i2i2−i200
χ362-222-22-2-2-2-22200-2-2200000200000−2i2i2i−2i−2−22222−2−20000000000000000i2−i2−i2i200
χ372-2-2-2222-22-22-2000002-22000-22-22-20000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i200000000000000
χ382-2-2-2222-22-22-2000002-22000-22-22-20000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i200000000000000
χ392-2-2-2222-22-22-2000002-22000-2-22-220000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i200000000000000
χ402-2-2-2222-22-22-2000002-22000-2-22-220000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i200000000000000
χ412-2-2-2222-2-22-2200000-222000-22-2-220000i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i200000000000000
χ422-2-2-2222-2-22-2200000-222000-22-2-220000−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i200000000000000
χ432-2-2-2222-2-22-2200000-222000-2-222-20000i2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i200000000000000
χ442-2-2-2222-2-22-2200000-222000-2-222-20000−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i200000000000000
χ45444-44-4-4-400004-4000000000000000000000000002-22-22-22-200000000000000
χ46444-44-4-4-400004-400000000000000000000000000-22-22-22-2200000000000000
χ47444-44-4-4-40000-44000000000000000000000000002-22-2-22-2200000000000000
χ48444-44-4-4-40000-4400000000000000000000000000-22-222-22-200000000000000
χ4944-4-4-44-444-4-44000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ5044-4-4-44-444-4-4400000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ5144-4-4-44-44-444-4000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ5244-4-4-44-44-444-400000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ534-444-44-4-444-4-4004-4400000-4000000000000000000000000000000000000000
χ544-444-44-4-4-4-4440044-400000-4000000000000000000000000000000000000000
χ554-4-444-4-440000000000004-400000000000000000000002i2−2i2−2i22i200000000000000
χ564-4-444-4-440000000000004-40000000000000000000000−2i22i22i2−2i200000000000000
χ574-4-444-4-44000000000000-440000000000000000002i2−2i2−2i22i2000000000000000000
χ584-4-444-4-44000000000000-44000000000000000000−2i22i22i2−2i2000000000000000000
χ594-4-4-4444-44-44-400000-44-4000400000000000000000000000000000000000000
χ604-4-4-4444-4-44-44000004-4-4000400000000000000000000000000000000000000
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-8-8-888000000000000000000000000000000000000000000000000000000

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