Finite Group Databasebeta

← Group #259498

Character table — Group #259498

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-1-1-1
χ5111111111111111111111111-1-111-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ91111111111111111-1-1-1-111-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-11-1-11111-1-11111-1-1
χ121111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111-1-111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-2222-2-2-2-22-200220000002200000000-20-2000000000000000
χ1822222222222-2-2-2-2222-2-2-2-22-200-2-2000000-2-200000000202000000000000000
χ1922222222222-2-2-2-22-2-222-2-2-220022000000-2-20000000020-2000000000000000
χ2022222222222-2-2-2-22-2-222-2-2-2200-2-20000002200000000-202000000000000000
χ2122222222-2-2-22222-22222-2-2-2-2220022000000000000000-20-200000000000000
χ2222222222-2-2-22222-22222-2-2-2-2-2-200-2-200000000000000020200000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2222200-2-200000000000000020-200000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-222-2-20022000000000000000-20200000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2200000022-2-200000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-22000000-2-2220000000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222-200000022-2-20000000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222-2000000-2-22200000000000000002-20000000000
χ29222-2-2-2-220002-22-202i−2i2i−2i00002-2002i−2i00000022−2−2i2i2−i2−i2000000000000002−2i2−i2
χ30222-2-2-2-220002-22-202i−2i2i−2i00002-2002i−2i000000−2−222−i2−i2i2i200000000000000−22−i2i2
χ31222-2-2-2-220002-22-202i−2i2i−2i0000-2200−2i2i00000022−2−2i2i2−i2−i200000000000000−22−i2i2
χ32222-2-2-2-220002-22-202i−2i2i−2i0000-2200−2i2i000000−2−222−i2−i2i2i2000000000000002−2i2−i2
χ33222-2-2-2-220002-22-20−2i2i−2i2i00002-200−2i2i00000022−2−2−i2−i2i2i2000000000000002−2−i2i2
χ34222-2-2-2-220002-22-20−2i2i−2i2i00002-200−2i2i000000−2−222i2i2−i2−i200000000000000−22i2−i2
χ35222-2-2-2-220002-22-20−2i2i−2i2i0000-22002i−2i00000022−2−2−i2−i2i2i200000000000000−22i2−i2
χ36222-2-2-2-220002-22-20−2i2i−2i2i0000-22002i−2i000000−2−222i2i2−i2−i2000000000000002−2−i2i2
χ372-2-222-2-2222-2-2-222-200002-2000000002i−2i2i−2i002-22-2000000002i−2i000000000000
χ382-2-222-2-2222-2-2-222-200002-2000000002i−2i2i−2i00-22-2200000000−2i2i000000000000
χ392-2-222-2-2222-2-2-222-200002-200000000−2i2i−2i2i002-22-200000000−2i2i000000000000
χ402-2-222-2-2222-2-2-222-200002-200000000−2i2i−2i2i00-22-22000000002i−2i000000000000
χ412-2-222-2-22-2-2222-2-2200002-2000000002i−2i−2i2i0000002i−2i2i−2i000000002-200000000
χ422-2-222-2-22-2-2222-2-2200002-2000000002i−2i−2i2i000000−2i2i−2i2i00000000-2200000000
χ432-2-222-2-22-2-2222-2-2200002-200000000−2i2i2i−2i0000002i−2i2i−2i00000000-2200000000
χ442-2-222-2-22-2-2222-2-2200002-200000000−2i2i2i−2i000000−2i2i−2i2i000000002-200000000
χ45444-4-4-4-44000-44-4404i−4i−4i4i000000000000000000000000000000000000000000
χ46444-4-4-4-44000-44-440−4i4i4i−4i000000000000000000000000000000000000000000
χ4744-44-44-4-44-440000-4000000000000000000000000000000000000000022−220000
χ4844-44-44-4-44-440000-40000000000000000000000000000000000000000−22220000
χ4944-44-44-4-4-44-400004000000000000000000000000000000000000002i2−2i2000000
χ5044-44-44-4-4-44-40000400000000000000000000000000000000000000−2i22i2000000
χ514-444-4-44-44-4-4000040000000000000000004i−4i00000000000000000000000000
χ524-444-4-44-44-4-400004000000000000000000−4i4i00000000000000000000000000
χ534-444-4-44-4-4440000-400000000004-40000000000000000000000000000000000
χ544-444-4-44-4-4440000-40000000000-440000000000000000000000000000000000
χ554-4-444-4-4444-444-4-4-40000-440000000000000000000000000000000000000000
χ564-4-444-4-44-4-44-4-44440000-440000000000000000000000000000000000000000
χ574-4-4-4-44440004-4-44000000000000000000000000022−22−2222000000000000000000
χ584-4-4-4-44440004-4-440000000000000000000000000−222222−22000000000000000000
χ594-4-4-4-4444000-444-400000000000000000000022−22−22220000000000000000000000
χ604-4-4-4-4444000-444-4000000000000000000000−222222−220000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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