Finite Group Databasebeta

← Group #259355

Character table — Group #259355

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442244444444444488888888222244444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111
χ51111111111111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-11-1-11-1-1-1-11111
χ61111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ71111111111111111111111-1-11-1-11-1-1-1-11111111111111111-1-1-111-1-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1111-111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-111-111-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-1-111-111-1-11111-1-1-1-11111-1-111-11-1-1-1111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-111-1-1-111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11111-111-1-111-1-1
χ172222222222-2-222-2-22222-2-200-200-22222000000000000000000-200-200000000
χ182222222222-2-222-2-22222-2-200-200-2-2-2-2-2000000000000000000200200000000
χ192222222222-2-222-2-2-2-2-2-2-2-200200222-2-2000000000000000000200-200000000
χ202222222222-2-222-2-2-2-2-2-2-2-2002002-2-222000000000000000000-200200000000
χ2122222222-2-222-2-22222-2-2-2-2222-2-2-200000000000000000000-22000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2222-2000000000000000000002-2000000000000
χ2322222222-2-222-2-222-2-222-2-222-222200000000000000000000-2-2000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-2-2-2-220000000000000000000022000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200-2002000022-2-2000000002-20000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200-20020000-2-22200000000-220000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200200-2000022-2-200000000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200200-20000-2-222000000002-20000000000000000
χ29222-2-22-2-22-2002-2002i−2i2i−2i000000002-22i−2i000022−2−2i2i2−i2−i2000000000000002−2i2−i2
χ30222-2-22-2-22-2002-2002i−2i2i−2i000000002-22i−2i0000−2−222−i2−i2i2i200000000000000−22−i2i2
χ31222-2-22-2-22-2002-2002i−2i2i−2i00000000-22−2i2i000022−2−2i2i2−i2−i200000000000000−22−i2i2
χ32222-2-22-2-22-2002-2002i−2i2i−2i00000000-22−2i2i0000−2−222−i2−i2i2i2000000000000002−2i2−i2
χ33222-2-22-2-22-2002-200−2i2i−2i2i000000002-2−2i2i000022−2−2−i2−i2i2i2000000000000002−2−i2i2
χ34222-2-22-2-22-2002-200−2i2i−2i2i000000002-2−2i2i0000−2−222i2i2−i2−i200000000000000−22i2−i2
χ35222-2-22-2-22-2002-200−2i2i−2i2i00000000-222i−2i000022−2−2−i2−i2i2i200000000000000−22i2−i2
χ36222-2-22-2-22-2002-200−2i2i−2i2i00000000-222i−2i0000−2−222i2i2−i2−i2000000000000002−2−i2i2
χ372-2222-2-2-222-2-2-2-22200002-200000000002i−2i2i−2i00002i−2i2i−2i002-200000000000000
χ382-2222-2-2-222-2-2-2-22200002-200000000002i−2i2i−2i0000−2i2i−2i2i00-2200000000000000
χ392-2222-2-2-222-2-2-2-22200002-20000000000−2i2i−2i2i00002i−2i2i−2i00-2200000000000000
χ402-2222-2-2-222-2-2-2-22200002-20000000000−2i2i−2i2i0000−2i2i−2i2i002-200000000000000
χ412-2222-2-2-2-2-22222-2-200002-200000000002i−2i−2i2i2-22-2000000000002i−2i000000000
χ422-2222-2-2-2-2-22222-2-200002-200000000002i−2i−2i2i-22-2200000000000−2i2i000000000
χ432-2222-2-2-2-2-22222-2-200002-20000000000−2i2i2i−2i2-22-200000000000−2i2i000000000
χ442-2222-2-2-2-2-22222-2-200002-20000000000−2i2i2i−2i-22-22000000000002i−2i000000000
χ45444-4-44-4-4-4400-44004i−4i−4i4i000000000000000000000000000000000000000000
χ46444-4-44-4-4-4400-4400−4i4i4i−4i000000000000000000000000000000000000000000
χ4744-44-4-44-4004-4004-400000000000000000000000000000000000000002i2−2i20000
χ4844-44-4-44-4004-4004-40000000000000000000000000000000000000000−2i22i20000
χ4944-44-4-44-400-4400-44000000000000000000000000000000000000002i2−2i2000000
χ5044-44-4-44-400-4400-4400000000000000000000000000000000000000−2i22i2000000
χ514-4444-4-4-44444-4-4-4-40000-440000000000000000000000000000000000000000
χ524-4444-4-4-4-4-4-4-444440000-440000000000000000000000000000000000000000
χ534-44-4-4-4444-400-440000000000000000000000000022−22−2222000000000000000000
χ544-44-4-4-4444-400-4400000000000000000000000000−222222−22000000000000000000
χ554-44-4-4-444-44004-4000000000000000000000022−22−22220000000000000000000000
χ564-44-4-4-444-44004-40000000000000000000000−222222−220000000000000000000000
χ574-4-44-44-44004-400-440000000004-400000000000000000000000000000000000
χ584-4-44-44-44004-400-44000000000-4400000000000000000000000000000000000
χ594-4-44-44-4400-44004-40000004-400000000000000000000000000000000000000
χ604-4-44-44-4400-44004-4000000-4400000000000000000000000000000000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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