Finite Group Databasebeta

← Group #309016

Character table — Group #309016

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-11-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1111-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-11111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-1111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-11-1-111-1-111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-111-1-1-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-11111-1-111-1-1-1-1-11
χ172222222222-2-2-222-2-22222-20000-2-200000022-2-200000000200-2000000000000
χ182222222222-2-2-222-2-22222-20000-2-2000000-2-22200000000-2002000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-200002200000022-2-200000000-2002000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2000022000000-2-22200000000200-2000000000000
χ2122222222-2-2222-2-22-20000-22222002222-2-20000000000000-2-20000000000000
χ2222222222-2-2222-2-22-20000-2222200-2-2-2-2-2-20000000000000220000000000000
χ2322222222-2-2222-2-22-20000-2-2-2-2-20022-2-2220000000000000-220000000000000
χ2422222222-2-2222-2-22-20000-2-2-2-2-200-2-2222200000000000002-20000000000000
χ25222-2-2-2-2222-222-2-2-220000-222-2-20000002-200000000000000002-22-200000000
χ26222-2-2-2-2222-222-2-2-220000-222-2-20000002-20000000000000000-22-2200000000
χ27222-2-2-2-2222-222-2-2-220000-2-2-222000000-2200000000000000002-2-2200000000
χ28222-2-2-2-2222-222-2-2-220000-2-2-222000000-220000000000000000-222-200000000
χ29222-2-2-2-22-2-22-2-222222i2i−2i−2i-200002i−2i000000000000002i2i−2i−2i0000000000002-200
χ30222-2-2-2-22-2-22-2-222222i2i−2i−2i-200002i−2i00000000000000−2i−2i2i2i000000000000-2200
χ31222-2-2-2-22-2-22-2-22222−2i−2i2i2i-20000−2i2i000000000000002i2i−2i−2i000000000000-2200
χ32222-2-2-2-22-2-22-2-22222−2i−2i2i2i-20000−2i2i00000000000000−2i−2i2i2i0000000000002-200
χ33222-2-2-2-22-2-2-22222-2-22i2i−2i−2i222-2-2−2i2i0000-2200002i2i−2i−2i00000000000000000000
χ34222-2-2-2-22-2-2-22222-2-22i2i−2i−2i2-2-222−2i2i00002-20000−2i−2i2i2i00000000000000000000
χ35222-2-2-2-22-2-2-22222-2-2−2i−2i2i2i222-2-22i−2i0000-220000−2i−2i2i2i00000000000000000000
χ36222-2-2-2-22-2-2-22222-2-2−2i−2i2i2i2-2-2222i−2i00002-200002i2i−2i−2i00000000000000000000
χ372-2-22-22-220022-200-20000002-22-2002i−2i2i−2i002−22−200002−22−200000000i2−i2i2−i20000
χ382-2-22-22-220022-200-20000002-22-2002i−2i2i−2i00−22−220000−22−2200000000−i2i2−i2i20000
χ392-2-22-22-220022-200-20000002-22-200−2i2i−2i2i002−22−200002−22−200000000−i2i2−i2i20000
χ402-2-22-22-220022-200-20000002-22-200−2i2i−2i2i00−22−220000−22−2200000000i2−i2i2−i20000
χ412-2-22-22-220022-200-2000000-22-22002i−2i−2i2i002−22−20000−22−2200000000i2−i2−i2i20000
χ422-2-22-22-220022-200-2000000-22-22002i−2i−2i2i00−22−2200002−22−200000000−i2i2i2−i20000
χ432-2-22-22-220022-200-2000000-22-2200−2i2i2i−2i002−22−20000−22−2200000000−i2i2i2−i20000
χ442-2-22-22-220022-200-2000000-22-2200−2i2i2i−2i00−22−2200002−22−200000000i2−i2−i2i20000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-4-4-4-44444-4-4-4-44-4000040000000000000000000000000000000000000000
χ4744-444-4-4-44-40004-40000000000000000000000022−2222−2200000000000000000000
χ4844-444-4-4-44-40004-400000000000000000000000−2222−222200000000000000000000
χ4944-444-4-4-4-44000-44004-44-400000000000000000000000000000000000000000
χ5044-444-4-4-4-44000-4400-44-4400000000000000000000000000000000000000000
χ5144-4-4-444-44-4000-44004i−4i−4i4i00000000000000000000000000000000000000000
χ5244-4-4-444-44-4000-4400−4i4i4i−4i00000000000000000000000000000000000000000
χ5344-4-4-444-4-440004-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5444-4-4-444-4-440004-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ554-4-44-44-4400-4-4400400000000000000000022−22−2222000000000000000000000000
χ564-4-44-44-4400-4-44004000000000000000000−222222−22000000000000000000000000
χ574-4-4-44-444004-4400-4000000000000000000000000002i2−2i2−2i22i20000000000000000
χ584-4-4-44-444004-4400-400000000000000000000000000−2i22i22i2−2i20000000000000000
χ594-4-4-44-44400-44-40040000004-4-44000000000000000000000000000000000000
χ604-4-4-44-44400-44-4004000000-444-4000000000000000000000000000000000000
χ618-888-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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