Finite Group Databasebeta

← Group #246745

Character table — Group #246745

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1111-1-1-1-111111111-1-1-111-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-11111
χ51111111111111111111111-1-111111-1-11-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-11111
χ61111111111111111111111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-11-1-1-1-1111111111111111-1-1-111-111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ91111111111111111-1-11-1-111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ101111111111111111-1-11-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-1-1-1-111-1-111
χ111111111111111111-1-11-1-1111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11111111-1-1-1-111
χ121111111111111111-1-11-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1111-1-11111-1-1
χ131111111111111111-1-11-1-11-1-111-1-1-111-1-1-1-1-11111-1-1-1-1-1-11-1111-111-1-11111-1-1
χ141111111111111111-1-11-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1-11111111-11-1-1-11111-1-1-1-111
χ151111111111111111-1-11-1-11-1-1-1-1-11111-111111111-1-1-1-111-1-11-1-11-1-1-1-111-1-111
χ161111111111111111-1-11-1-11-1-1-1-1-11111-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1
χ172222222222-2-222-2-222-222-22200-20022-2000000000000000-2-20000000000000
χ182222222222-2-222-2-222-222-2-2-200-200-2-2-2000000000000000220000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-22200200-2-22000000000000000-220000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-2-2002002220000000000000002-20000000000000
χ2122222222-2-222-2-22222-2-2-2-20022-22200200000000000000-20000-20000000000
χ2222222222-2-222-2-22222-2-2-2-200-2-2-2-2-2002000000000000002000020000000000
χ2322222222-2-222-2-222-2-2-222-200222-2-200-200000000000000-2000020000000000
χ2422222222-2-222-2-222-2-2-222-200-2-222200-20000000000000020000-20000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22000020000-222-2-200000000000000002-200000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22000020000-2-2-2220000000000000000-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220000-20000222-2-20000000000000000-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-222220000-200002-2-22200000000000000002-200000000
χ29222-2-2-22-2-2-20022002-202-202-2000002-200000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ30222-2-2-22-2-2-20022002-202-202-2000002-200000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ31222-2-2-22-2-2-20022002-202-20-2200000-2200000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ32222-2-2-22-2-2-20022002-202-20-2200000-2200000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ33222-2-2-22-2-2-2002200-220-2202-200000-2200000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ34222-2-2-22-2-2-2002200-220-2202-200000-2200000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ35222-2-2-22-2-2-2002200-220-220-22000002-200000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ36222-2-2-22-2-2-2002200-220-220-22000002-200000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ372-2-2-2-22222-22-22-22-200-200200000000002-22-200002-22-2000002-200000000000
χ382-2-2-2-22222-22-22-22-200-200200000000002-22-20000-22-2200000-2200000000000
χ392-2-2-2-22222-22-22-22-200-20020000000000-22-2200002-22-200000-2200000000000
χ402-2-2-2-22222-22-22-22-200-20020000000000-22-220000-22-22000002-200000000000
χ412-2-2-2-2222-22-22-22-2200-200200000000002-2-222-22-200002-20000000000000000
χ422-2-2-2-2222-22-22-22-2200-200200000000002-2-22-22-220000-220000000000000000
χ432-2-2-2-2222-22-22-22-2200-20020000000000-222-22-22-20000-220000000000000000
χ442-2-2-2-2222-22-22-22-2200-20020000000000-222-2-22-2200002-20000000000000000
χ45444-4-4-44-44400-4-4004-40-4400000000000000000000000000000000000000000
χ46444-4-4-44-44400-4-400-4404-400000000000000000000000000000000000000000
χ4744-44-4-4-44004-400-44000000004i−4i000000000000000000000000000000000000
χ4844-44-4-4-44004-400-4400000000−4i4i000000000000000000000000000000000000
χ4944-44-4-4-4400-44004-4000000000004i−4i000000000000000000000000000000000
χ5044-44-4-4-4400-44004-400000000000−4i4i000000000000000000000000000000000
χ514-44-44-4-44004400-4-4000000000000000000000000000000000000000000002i2−2i2
χ524-44-44-4-44004400-4-400000000000000000000000000000000000000000000−2i22i2
χ534-44-44-4-4400-4-4004400000000000000000000000000000000000000000022−2200
χ544-44-44-4-4400-4-40044000000000000000000000000000000000000000000−222200
χ554-4-444-44-44-400-4400000000000000000000002i2−2i2−2i22i20000000000000000000000
χ564-4-444-44-44-400-440000000000000000000000−2i22i22i2−2i20000000000000000000000
χ574-4-444-44-4-44004-4000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ584-4-444-44-4-44004-400000000000000000000000000−2i22i22i2−2i2000000000000000000
χ594-4-4-4-44444-4-444-4-4400400-40000000000000000000000000000000000000000
χ604-4-4-4-4444-444-4-444-400400-40000000000000000000000000000000000000000
χ6188-8-888-8-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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