Finite Group Databasebeta

← Group #467236

Character table — Group #467236

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222244444444444422444444448888888844444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111
χ5111111111111111111111111-1-11-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111
χ8111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ911111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ1011111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ1111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1
χ1211111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111
χ1311111111111111111111-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111
χ1611111111111111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1
χ17222222222222-2-2-2-2-2-2-2-222-2-200200-20000000000000000000000002i−2i2i−2i0000
χ18222222222222-2-2-2-2-2-2-2-222-2-200200-2000000000000000000000000−2i2i−2i2i0000
χ19222222222222-2-2-2-2-2-2-2-2-2-22200-20020000000000000000000000002i−2i−2i2i0000
χ20222222222222-2-2-2-2-2-2-2-2-2-22200-2002000000000000000000000000−2i2i2i−2i0000
χ2122222222-2-2-2-222-2-2-222-2222200-200-2000022-2-222-2-200000000000000000000
χ2222222222-2-2-2-222-2-2-222-2222200-200-20000-2-222-2-22200000000000000000000
χ2322222222-2-2-2-222-2-2-222-2-2-2-2-2002002000022-2-2-2-22200000000000000000000
χ2422222222-2-2-2-222-2-2-222-2-2-2-2-20020020000-2-22222-2-200000000000000000000
χ2522222222-2-2-2-2-2-2222-2-2222-2-222-2222-2-2-2-20000000000000000000000000000
χ2622222222-2-2-2-2-2-2222-2-2222-2-2-2-2-2-2-2222220000000000000000000000000000
χ2722222222-2-2-2-2-2-2222-2-22-2-222222-2-2-2-2-2220000000000000000000000000000
χ2822222222-2-2-2-2-2-2222-2-22-2-222-2-2222-222-2-20000000000000000000000000000
χ29222-2-2-22-222-2-22222-2-2-2-200002-200002-200000000000000002-2002-200000000
χ30222-2-2-22-222-2-22222-2-2-2-200002-200002-20000000000000000-2200-2200000000
χ31222-2-2-22-222-2-22222-2-2-2-20000-220000-2200000000000000002-200-2200000000
χ32222-2-2-22-222-2-22222-2-2-2-20000-220000-220000000000000000-22002-200000000
χ33222-2-2-22-2-2-222-2-222-222-200002-20000-220000000000002i−2i000000000000002i−2i
χ34222-2-2-22-2-2-222-2-222-222-200002-20000-22000000000000−2i2i00000000000000−2i2i
χ35222-2-2-22-2-2-222-2-222-222-20000-2200002-20000000000002i−2i00000000000000−2i2i
χ36222-2-2-22-2-2-222-2-222-222-20000-2200002-2000000000000−2i2i000000000000002i−2i
χ372-2-222-22-22-22-22-22-222-2-200000002i−2i0002i−2i000000002-2000000000000002i−2i00
χ382-2-222-22-22-22-22-22-222-2-200000002i−2i0002i−2i00000000-2200000000000000−2i2i00
χ392-2-222-22-22-22-22-22-222-2-20000000−2i2i000−2i2i000000002-200000000000000−2i2i00
χ402-2-222-22-22-22-22-22-222-2-20000000−2i2i000−2i2i00000000-22000000000000002i−2i00
χ412-2-222-22-2-22-22-222-22-22-200000002i−2i000−2i2i0000000000002i−2i002-20000000000
χ422-2-222-22-2-22-22-222-22-22-200000002i−2i000−2i2i000000000000−2i2i00-220000000000
χ432-2-222-22-2-22-22-222-22-22-20000000−2i2i0002i−2i0000000000002i−2i00-220000000000
χ442-2-222-22-2-22-22-222-22-22-20000000−2i2i0002i−2i000000000000−2i2i002-20000000000
χ45444-4-4-44-444-4-4-4-4-4-44444000000000000000000000000000000000000000000
χ46444-4-4-44-4-4-44444-4-44-4-44000000000000000000000000000000000000000000
χ4744-44-4-4-44000000000000004-40000000000002i2−2i2002i2−2i200000000000000000000
χ4844-44-4-4-44000000000000004-4000000000000−2i22i200−2i22i200000000000000000000
χ4944-44-4-4-4400000000000000-440000000000002i2−2i200−2i22i200000000000000000000
χ5044-44-4-4-4400000000000000-44000000000000−2i22i2002i2−2i200000000000000000000
χ514-44-44-4-440000000000004i−4i0000000000002i2−2i20022−220000000000000000000000
χ524-44-44-4-440000000000004i−4i000000000000−2i22i200−22220000000000000000000000
χ534-44-44-4-44000000000000−4i4i0000000000002i2−2i200−22220000000000000000000000
χ544-44-44-4-44000000000000−4i4i000000000000−2i22i20022−220000000000000000000000
χ554-4-444-44-44-44-4-44-44-4-444000000000000000000000000000000000000000000
χ564-4-444-44-4-44-444-4-44-44-44000000000000000000000000000000000000000000
χ574-4-4-4-44444-4-444-44-4-4-444000000000000000000000000000000000000000000
χ584-4-4-4-44444-4-44-44-4444-4-4000000000000000000000000000000000000000000
χ594-4-4-4-4444-444-44-4-444-44-4000000000000000000000000000000000000000000
χ604-4-4-4-4444-444-4-444-4-44-44000000000000000000000000000000000000000000
χ6188-8-888-8-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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