Finite Group Databasebeta

← Group #271490

Character table — Group #271490

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444222444444444888888882444448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11-1-1-11111-1-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-11-1
χ6111111111111111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-11
χ7111111111111111111111-1-1-1-11-1-1-1-1-11111-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1-111-1-11111-1-11-1
χ911111111111111111-1-1-1-1111111-1-111-1-1111-1-1111111111-1-11-1-1-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-1111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111
χ1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111111111-111-111-1-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-11111-1-1-11
χ1411111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-1-11111-1-1-111111-1-1-1-1111-1
χ1511111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1111111-1-1-1-1111-1-1-1-1-111-1-1111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-111-1-1-1-11111111-1-1-111-1-111-1-1-11
χ172222222222-2-222-2-2-2222222-2-2-2-22200-2-2002-2-2000000000000000000000000
χ182222222222-2-222-2-2-22222-2-222-22-2-200-2-200-222000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-2-222-2-2-2-2-2-2002200222000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-222-2222002200-2-2-2000000000000000000000000
χ2122222222-2-222-2-222-200002222-2-200220022-20000000000-200-2000000000000
χ2222222222-2-222-2-222-200002222-2-200-2-200-2-2-200000000002002000000000000
χ2322222222-2-222-2-222-20000-2-2-2-2-22002200-2-220000000000200-2000000000000
χ2422222222-2-222-2-222-20000-2-2-2-2-2200-2-2002220000000000-2002000000000000
χ2522222222-2-2-2-2-2-2-2-22000022-2-22200000000-2000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-22000022-2-22200000000-200000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-220000-2-2222-2000000002000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-220000-2-2222-200000000200000000000-2202-20000000000
χ29222-2-2-2-22002-2002-2000002i−2i2i−2i00002-2002i−2i00022−2−2i2i2−i2−i200000000002−2i2−i200
χ30222-2-2-2-22002-2002-2000002i−2i2i−2i00002-2002i−2i000−2−222−i2−i2i2i20000000000−22−i2i200
χ31222-2-2-2-22002-2002-2000002i−2i2i−2i0000-2200−2i2i00022−2−2i2i2−i2−i20000000000−22−i2i200
χ32222-2-2-2-22002-2002-2000002i−2i2i−2i0000-2200−2i2i000−2−222−i2−i2i2i200000000002−2i2−i200
χ33222-2-2-2-22002-2002-200000−2i2i−2i2i00002-200−2i2i00022−2−2−i2−i2i2i200000000002−2−i2i200
χ34222-2-2-2-22002-2002-200000−2i2i−2i2i00002-200−2i2i000−2−222i2i2−i2−i20000000000−22i2−i200
χ35222-2-2-2-22002-2002-200000−2i2i−2i2i0000-22002i−2i00022−2−2−i2−i2i2i20000000000−22i2−i200
χ36222-2-2-2-22002-2002-200000−2i2i−2i2i0000-22002i−2i000−2−222i2i2−i2−i200000000002−2−i2i200
χ372-2-22-22-222-2222-2-2-2222-2-20000-2000002-20000000002i−2i2i−2i000000002i−2i000000
χ382-2-22-22-222-2222-2-2-2222-2-20000-2000002-2000000000−2i2i−2i2i00000000−2i2i000000
χ392-2-22-22-222-2222-2-2-22-2-2220000-200000-220000000002i−2i2i−2i00000000−2i2i000000
χ402-2-22-22-222-2222-2-2-22-2-2220000-200000-22000000000−2i2i−2i2i000000002i−2i000000
χ412-2-22-22-222-2-2-22-222-222-2-20000200000-22000002-22-200000000002-200000000
χ422-2-22-22-222-2-2-22-222-222-2-20000200000-2200000-22-220000000000-2200000000
χ432-2-22-22-222-2-2-22-222-2-2-22200002000002-2000002-22-20000000000-2200000000
χ442-2-22-22-222-2-2-22-222-2-2-22200002000002-200000-22-2200000000002-200000000
χ45444-4-4-4-4400-4400-44000004i−4i−4i4i0000000000000000000000000000000000000
χ46444-4-4-4-4400-4400-4400000−4i4i4i−4i0000000000000000000000000000000000000
χ4744-4-444-4-44400-4-400000000000004-4000000000000000000000000000000000
χ4844-4-444-4-44400-4-40000000000000-44000000000000000000000000000000000
χ4944-4-444-4-4-4-400440004i−4i4i−4i00000000000000000000000000000000000000000
χ5044-4-444-4-4-4-40044000−4i4i−4i4i00000000000000000000000000000000000000000
χ514-44-4-444-44-400-4400000000000000000000004i−4i000000000000000000000000
χ524-44-4-444-44-400-440000000000000000000000−4i4i000000000000000000000000
χ534-44-4-444-4-44004-40004i−4i−4i4i00000000000000000000000000000000000000000
χ544-44-4-444-4-44004-4000−4i4i4i−4i00000000000000000000000000000000000000000
χ554-4-44-44-44-4444-44-4-4-4000000004000000000000000000000000000000000000
χ564-4-44-44-44-44-4-4-4444400000000-4000000000000000000000000000000000000
χ574-4-4-44-444004-400-440000000000000000000000000022−22−22220000000000000000
χ584-4-4-44-444004-400-4400000000000000000000000000−222222−220000000000000000
χ594-4-4-44-44400-44004-4000000000000000000000022−22−222200000000000000000000
χ604-4-4-44-44400-44004-40000000000000000000000−222222−2200000000000000000000
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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