Finite Group Databasebeta

← Group #170281

Character table — Group #170281

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444448888888888888888888888881616161616161616161616163232
order12222222444444444444444422444444888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1111111
χ5111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1
χ6111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-11111-1-1
χ911111111-1-1-1-11-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-111-111-1-11-1
χ1011111111-1-1-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-111-1-1-111-11
χ1111111111-1-1-1-11-1-1-1-11-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-11-111-1-111-11
χ1211111111-1-1-1-11-1-1-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11-11-11111-1-11-1
χ1311111111-1-1-1-11-1-1-1-11-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-11
χ1411111111-1-1-1-11-1-1-1-11-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-11-11-111-1-1-1-1111-1
χ1511111111-1-1-1-11-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-1-11-1-1111-1
χ1611111111-1-1-1-11-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-11-1-1-1111-1-1-11
χ172222222222222-2-2-2-2-222-2-22-200222200000000000000000000000-20-2000000
χ182222222222222-2-2-2-2-222-2-22-200-2-2-2-200000000000000000000000202000000
χ19222222222222-222-2-22-2-2-2-2-22000000000000000000000000022-2-2000000000
χ20222222222222-222-2-22-2-2-2-2-220000000000000000000000000-2-222000000000
χ21222222222222-2-2-222-2-2-222-2-2220000220000000000000000-200000-20000000
χ22222222222222-2-2-222-2-2-222-2-2-2-20000-2-2000000000000000020000020000000
χ2322222222-2-2-2-222222-2-2-2-2-22-20022-2-200000000000000000000000-202000000
χ2422222222-2-2-2-222222-2-2-2-2-22-200-2-2220000000000000000000000020-2000000
χ2522222222-2-2-2-2-222-2-2-22222-2-2220000-2-20000000000000000200000-20000000
χ2622222222-2-2-2-2-222-2-2-22222-2-2-2-20000220000000000000000-20000020000000
χ2722222222-2-2-2-2-2-2-222222-2-2-2200000000000000000000000002-2-22000000000
χ2822222222-2-2-2-2-2-2-222222-2-2-220000000000000000000000000-222-2000000000
χ2922-2-2-2-22222-2-22000002-200-20002i−2i2i−2i00i2i2−i2−i2i2i2−i2−i200000000000000002−22−200
χ3022-2-2-2-22222-2-22000002-200-20002i−2i2i−2i00−i2−i2i2i2−i2−i2i2i20000000000000000−22−2200
χ3122-2-2-2-22222-2-22000002-200-2000−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i20000000000000000−22−2200
χ3222-2-2-2-22222-2-22000002-200-2000−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i200000000000000002−22−200
χ3322-2-2-2-222-2-222200000-2200-20002i−2i−2i2i00i2i2−i2−i2−i2−i2i2i200000000000000002−2−2200
χ3422-2-2-2-222-2-222200000-2200-20002i−2i−2i2i00−i2−i2i2i2i2i2−i2−i20000000000000000−222−200
χ3522-2-2-2-222-2-222200000-2200-2000−2i2i2i−2i00i2i2−i2−i2−i2−i2i2i20000000000000000−222−200
χ3622-2-2-2-222-2-222200000-2200-2000−2i2i2i−2i00−i2−i2i2i2i2i2−i2−i200000000000000002−2−2200
χ372-22-22-22-22i−2i2i−2i0002i−2i0002-2002-200002i−2i2−22−2i2−i2i2−i222−2−2i2i2−i2−i200000000000000
χ382-22-22-22-22i−2i2i−2i0002i−2i0002-2002-200002i−2i−22−22−i2i2−i2i2−2−222−i2−i2i2i200000000000000
χ392-22-22-22-22i−2i2i−2i0002i−2i0002-200-220000−2i2i2−22−2i2−i2i2−i2−2−222−i2−i2i2i200000000000000
χ402-22-22-22-22i−2i2i−2i0002i−2i0002-200-220000−2i2i−22−22−i2i2−i2i222−2−2i2i2−i2−i200000000000000
χ412-22-22-22-2−2i2i−2i2i000−2i2i0002-2002-20000−2i2i2−22−2−i2i2−i2i222−2−2−i2−i2i2i200000000000000
χ422-22-22-22-2−2i2i−2i2i000−2i2i0002-2002-20000−2i2i−22−22i2−i2i2−i2−2−222i2i2−i2−i200000000000000
χ432-22-22-22-2−2i2i−2i2i000−2i2i0002-200-2200002i−2i2−22−2−i2i2−i2i2−2−222i2i2−i2−i200000000000000
χ442-22-22-22-2−2i2i−2i2i000−2i2i0002-200-2200002i−2i−22−22i2−i2i2−i222−2−2−i2−i2i2i200000000000000
χ454444-4-4-4-4000004-400000000000000000000000002-22-22-22-200000000000000
χ464444-4-4-4-4000004-40000000000000000000000000-22-22-22-2200000000000000
χ474444-4-4-4-400000-4400000000000000000000000002-22-2-22-2200000000000000
χ484444-4-4-4-400000-440000000000000000000000000-22-222-22-200000000000000
χ4944-4-4-4-44444-4-4-400000-44004000000000000000000000000000000000000000
χ5044-4-4-4-444-4-444-4000004-4004000000000000000000000000000000000000000
χ514-44-44-44-44i−4i4i−4i000−4i4i000-440000000000000000000000000000000000000000
χ524-44-44-44-4−4i4i−4i4i0004i−4i000-440000000000000000000000000000000000000000
χ534-44-4-44-44000000000400000-4000000000000000000002i2−2i2−2i22i200000000000000
χ544-44-4-44-44000000000400000-400000000000000000000−2i22i22i2−2i200000000000000
χ554-44-4-44-44000000000-4000004000000000000000022−22−2222000000000000000000
χ564-44-4-44-44000000000-40000040000000000000000−222222−22000000000000000000
χ574-4-44-444-44i−4i−4i4i000000000000000000002i−2i−2i2i-222-20000000000000000000000
χ584-4-44-444-44i−4i−4i4i00000000000000000000−2i2i2i−2i2-2-220000000000000000000000
χ594-4-44-444-4−4i4i4i−4i000000000000000000002i−2i−2i2i2-2-220000000000000000000000
χ604-4-44-444-4−4i4i4i−4i00000000000000000000−2i2i2i−2i-222-20000000000000000000000
χ6188-8-888-8-8000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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