Finite Group Databasebeta

← Group #309297

Character table — Group #309297

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444224444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-1-11-1-1-11-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-1-1-11-1-1-11-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111-1111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1111111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-11-1-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11-11111-1-1-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1111111-1-1-11
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-11-1-1-1-1-1-111-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-11-1-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111-111-1-1-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-11111-1-111-1-1-11
χ172222222222-2-2-2-222-2-2000000002222-2-2-2-2000000002200-2-200002000-200000000000
χ182222222222-2-2-2-222-2-2000000002222-2-2-2-200000000-2-200220000-2000200000000000
χ192222222222-2-2-2-222-2-200000000-2-2-2-22222000000002200-2-20000-2000200000000000
χ202222222222-2-2-2-222-2-200000000-2-2-2-2222200000000-2-2002200002000-200000000000
χ2122222222-2-22222-2-2-2-22222-2-2-2-2000000000000000000220022000-2000-20000000000
χ2222222222-2-22222-2-2-2-22222-2-2-2-2000000000000000000-2-200-2-2000200020000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-222220000000000000000002200-2-2000-200020000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-22222000000000000000000-2-200220002000-20000000000
χ25222-2-22-2-22222-2-2-2-22-222-2-222-2-20000000000000000000000002-2002-2000000000000
χ26222-2-22-2-22222-2-2-2-22-222-2-222-2-2000000000000000000000000-2200-22000000000000
χ27222-2-22-2-22222-2-2-2-22-2-2-222-2-2220000000000000000000000002-200-22000000000000
χ28222-2-22-2-22222-2-2-2-22-2-2-222-2-222000000000000000000000000-22002-2000000000000
χ29222-2-22-2-2-2-222-2-222-2222-2-2-2-22200000000000000002i−2i002i−2i00000000002i−2i00000000
χ30222-2-22-2-2-2-222-2-222-2222-2-2-2-2220000000000000000−2i2i00−2i2i0000000000−2i2i00000000
χ31222-2-22-2-2-2-222-2-222-22-2-22222-2-200000000000000002i−2i002i−2i0000000000−2i2i00000000
χ32222-2-22-2-2-2-222-2-222-22-2-22222-2-20000000000000000−2i2i00−2i2i00000000002i−2i00000000
χ33222-2-22-2-2-2-2-2-222222-200000000000000002i2i2i2i−2i−2i−2i−2i2i−2i00−2i2i0000000000002-2000000
χ34222-2-22-2-2-2-2-2-222222-200000000000000002i2i2i2i−2i−2i−2i−2i−2i2i002i−2i000000000000-22000000
χ35222-2-22-2-2-2-2-2-222222-20000000000000000−2i−2i−2i−2i2i2i2i2i2i−2i00−2i2i000000000000-22000000
χ36222-2-22-2-2-2-2-2-222222-20000000000000000−2i−2i−2i−2i2i2i2i2i−2i2i002i−2i0000000000002-2000000
χ3722-22-2-22-2002-22-200002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−2002-2002i−2i000000000000i2−i22−200
χ3822-22-2-22-2002-22-200002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−200-2200−2i2i000000000000−i2i2−2200
χ3922-22-2-22-2002-22-200002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−222002-2002i−2i000000000000−i2i2−2200
χ4022-22-2-22-2002-22-200002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200-2200−2i2i000000000000i2−i22−200
χ4122-22-2-22-2002-22-20000−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−222002-200−2i2i000000000000i2−i2−2200
χ4222-22-2-22-2002-22-20000−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200-22002i−2i000000000000−i2i22−200
χ4322-22-2-22-2002-22-20000−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−2002-200−2i2i000000000000−i2i22−200
χ4422-22-2-22-2002-22-20000−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−200-22002i−2i000000000000i2−i2−2200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-44-4-444-4-444-4-4-4400000000000000000000000000000000000000000000000000
χ4744-44-4-44-400-44-440000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ4844-44-4-44-400-44-44000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ4944-4-44-4-44004-4-4400004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5044-4-44-4-44004-4-440000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5144-4-44-4-4400-444-4000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000
χ5244-4-44-4-4400-444-400000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000
χ534-444-4-4-44000000000000002i2−2i22i2−2i2000022−2222−222i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ544-444-4-4-44000000000000002i2−2i22i2−2i20000−2222−2222−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ554-444-4-4-4400000000000000−2i22i2−2i22i2000022−2222−22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ564-444-4-4-4400000000000000−2i22i2−2i22i20000−2222−22222i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ574-44-44-44-4000000000000002i2−2i2−2i22i22i2−2i22i2−2i200002-22-2-22-2200000000000000000000000000
χ584-44-44-44-4000000000000002i2−2i2−2i22i2−2i22i2−2i22i20000-22-222-22-200000000000000000000000000
χ594-44-44-44-400000000000000−2i22i22i2−2i22i2−2i22i2−2i20000-22-222-22-200000000000000000000000000
χ604-44-44-44-400000000000000−2i22i22i2−2i2−2i22i2−2i22i200002-22-2-22-2200000000000000000000000000
χ614-4-4444-4-44-400004-4000000000000004i−4i−4i4i0000000000000000000000000000000000
χ624-4-4444-4-44-400004-400000000000000−4i4i4i−4i0000000000000000000000000000000000
χ634-4-4444-4-4-440000-440000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000
χ644-4-4444-4-4-440000-44000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000
χ654-4-4-4-44444-40000-4400000000000000000022−22−2222−222222−2200000000000000000000000000
χ664-4-4-4-44444-40000-44000000000000000000−222222−2222−22−222200000000000000000000000000
χ674-4-4-4-4444-4400004-400000000004-4-4400000000000000000000000000000000000000
χ684-4-4-4-4444-4400004-40000000000-444-400000000000000000000000000000000000000

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