Finite Group Databasebeta

← Group #352351

Character table — Group #352351

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222244444444444444444444448888888888888888883232323232323232
order12222244444444224444444488888888888888888888888888888824448888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-11-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1
χ911111111111111-1-1-1-11-1-11-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ1011111111111111-1-1-1-11-1-11-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ1111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ1211111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ1311111111111111-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1-11-11
χ1411111111111111-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-111-11-1
χ1511111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-11-1-11-111-1
χ1611111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-111-11-1-11
χ17222222222-2-2-2-222222-2-2-2-2-2-222-2-2000000002-222-2-200000000000000000000
χ18222222222-2-2-2-222222-2-2-2-2-2-2-2-22200000000-22-2-22200000000000000000000
χ19222222222-2-2-2-22-2-2-2-2-222-22222-2-2000000002-2-2-22200000000000000000000
χ20222222222-2-2-2-22-2-2-2-2-222-222-2-22200000000-2222-2-200000000000000000000
χ21222222-2-2-222-2-2-20000200-2000000000022-2-2002i−2i2i−2i002i2i−2i−2i2-2000000000000
χ22222222-2-2-222-2-2-20000200-2000000000022-2-200−2i2i−2i2i00−2i−2i2i2i2-2000000000000
χ23222222-2-2-222-2-2-20000200-20000000000-2-222002i−2i2i−2i00−2i−2i2i2i-22000000000000
χ24222222-2-2-222-2-2-20000200-20000000000-2-22200−2i2i−2i2i002i2i−2i−2i-22000000000000
χ25222222-2-2-2-2-222-20000-200200000022-2-20000002i−2i−2i2i2-20000002i2i−2i−2i00000000
χ26222222-2-2-2-2-222-20000-200200000022-2-2000000−2i2i2i−2i2-2000000−2i−2i2i2i00000000
χ27222222-2-2-2-2-222-20000-2002000000-2-2220000002i−2i−2i2i-22000000−2i−2i2i2i00000000
χ28222222-2-2-2-2-222-20000-2002000000-2-222000000−2i2i2i−2i-220000002i2i−2i−2i00000000
χ292222-2-222-22222-20000-200-200222222222222-2-20000-2-20000-2-2000000000000
χ302222-2-222-22222-20000-200-2002222-2-2-2-2-2-2-2-2-2-2000022000022000000000000
χ312222-2-222-22222-20000-200-200-2-2-2-22222-2-2-2-2220000-2-2000022000000000000
χ322222-2-222-22222-20000-200-200-2-2-2-2-2-2-2-22222220000220000-2-2000000000000
χ332222-2-222-2-2-2-2-2-2000020020022-2-200000000-220000002i−2i2i−2i002i−2i2i−2i00000000
χ342222-2-222-2-2-2-2-2-2000020020022-2-200000000-22000000−2i2i−2i2i00−2i2i−2i2i00000000
χ352222-2-222-2-2-2-2-2-20000200200-2-222000000002-20000002i−2i2i−2i00−2i2i−2i2i00000000
χ362222-2-222-2-2-2-2-2-20000200200-2-222000000002-2000000−2i2i−2i2i002i−2i2i−2i00000000
χ372222-2-2-2-2222-2-2222-2-2-2222-2-20000000022-2-2000000000000-222-2-2200000000
χ382222-2-2-2-2222-2-2222-2-2-2222-2-200000000-2-2220000000000002-2-222-200000000
χ392222-2-2-2-2222-2-22-2-222-2-2-22220000000022-2-2000000000000-22-222-200000000
χ402222-2-2-2-2222-2-22-2-222-2-2-222200000000-2-2220000000000002-22-2-2200000000
χ412222-2-2-2-22-2-222222-2-22-2-2-222000022-2-20000000000-22-222-200000000000000
χ422222-2-2-2-22-2-222222-2-22-2-2-2220000-2-22200000000002-22-2-2200000000000000
χ432222-2-2-2-22-2-2222-2-222222-2-2-2000022-2-20000000000-222-2-2200000000000000
χ442222-2-2-2-22-2-2222-2-222222-2-2-20000-2-22200000000002-2-222-200000000000000
χ4544-4-44-44-440000-44-44-400000000000000000000000000000000000000000000
χ4644-4-44-44-440000-4-44-4400000000000000000000000000000000000000000000
χ4744-4-44-4-44-400004000004i−4i04i−4i00000000000000000000000000000000000000
χ4844-4-44-4-44-40000400000−4i4i0−4i4i00000000000000000000000000000000000000
χ4944-4-4-444-4-400004000004i−4i0−4i4i00000000000000000000000000000000000000
χ5044-4-4-444-4-40000400000−4i4i04i−4i00000000000000000000000000000000000000
χ5144-4-4-44-4440000-44-4-4400000000000000000000000000000000000000000000
χ5244-4-4-44-4440000-4-444-400000000000000000000000000000000000000000000
χ534-44-4000004-4000000000000022−2222−222i2−2i22i2−2i2004i−4i00000000000000000000000000
χ544-44-4000004-4000000000000022−2222−22−2i22i2−2i22i200−4i4i00000000000000000000000000
χ554-44-4000004-40000000000000−2222−22222i2−2i22i2−2i200−4i4i00000000000000000000000000
χ564-44-4000004-40000000000000−2222−2222−2i22i2−2i22i2004i−4i00000000000000000000000000
χ574-44-400000-44000000000000022−22−22222i2−2i2−2i22i24i−4i0000000000000000000000000000
χ584-44-400000-44000000000000022−22−2222−2i22i22i2−2i2−4i4i0000000000000000000000000000
χ594-44-400000-440000000000000−222222−222i2−2i2−2i22i2−4i4i0000000000000000000000000000
χ604-44-400000-440000000000000−222222−22−2i22i22i2−2i24i−4i0000000000000000000000000000
χ618-8-8800000008-80000000000000000000000000000000000000000000000000
χ628-8-880000000-880000000000000000000000000000000000000000000000000

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