Finite Group Databasebeta

← Group #301207

Character table — Group #301207

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882222224444448888888888888822444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ311111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ9111111111111111111-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-11-1
χ10111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-11-1-1-111-1-1-11
χ11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111111-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-111-1-111-11
χ13111111111111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-11
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-111-1111-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-11
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1-111111-1
χ172222222222-2-22-2-22-2-22222222200000000-2-20000000000000000-2-200000000
χ182222222222-2-22-2-22-2-22222-2-2-2-200000000-2-200000000000000002200000000
χ192222222222-2-22-2-22-2-2-2-2-2-222-2-200000000220000000000000000-2200000000
χ202222222222-2-22-2-22-2-2-2-2-2-2-2-222000000002200000000000000002-200000000
χ2122222222-2-222-222-2-2-2000000002222-2-2-2-20022-2-20000000000000000000000
χ2222222222-2-222-222-2-2-20000000022-2-222-2-200-2-2220000000000000000000000
χ2322222222-2-222-222-2-2-200000000-2-222-2-22200-2-2220000000000000000000000
χ2422222222-2-222-222-2-2-200000000-2-2-2-222220022-2-20000000000000000000000
χ25222-2-2-22-22-200-20020022-2-22-22-20000000000i2−i2i2−i20000i2i2−i2−i2000000i2−i2i2−i20000
χ26222-2-2-22-22-200-20020022-2-22-22-20000000000−i2i2−i2i20000−i2−i2i2i2000000−i2i2−i2i20000
χ27222-2-2-22-22-200-20020022-2-2-22-220000000000i2−i2i2−i20000i2i2−i2−i2000000−i2i2−i2i20000
χ28222-2-2-22-22-200-20020022-2-2-22-220000000000−i2i2−i2i20000−i2−i2i2i2000000i2−i2i2−i20000
χ29222-2-2-22-22-200-200200-2-2222-2-220000000000i2−i2i2−i20000−i2−i2i2i2000000i2−i2−i2i20000
χ30222-2-2-22-22-200-200200-2-2222-2-220000000000−i2i2−i2i20000i2i2−i2−i2000000−i2i2i2−i20000
χ31222-2-2-22-22-200-200200-2-222-222-20000000000i2−i2i2−i20000−i2−i2i2i2000000−i2i2i2−i20000
χ32222-2-2-22-22-200-200200-2-222-222-20000000000−i2i2−i2i20000i2i2−i2−i2000000i2−i2−i2i20000
χ332-2-22-2-2222-2-2-2222-2-22000000002-200002-200000022-2-22-22-200000000000000
χ342-2-22-2-2222-2-2-2222-2-22000000002-200002-2000000-2-222-22-2200000000000000
χ352-2-22-2-2222-2-2-2222-2-2200000000-220000-2200000022-2-2-22-2200000000000000
χ362-2-22-2-2222-2-2-2222-2-2200000000-220000-22000000-2-2222-22-200000000000000
χ372-2-22-2-222-2222-2-2-22-222-22-20000000000002-20000000000002-22-20000000000
χ382-2-22-2-222-2222-2-2-22-222-22-20000000000002-2000000000000-22-220000000000
χ392-2-22-2-222-2222-2-2-22-22-22-22000000000000-220000000000002-2-220000000000
χ402-2-22-2-222-2222-2-2-22-22-22-22000000000000-22000000000000-222-20000000000
χ412-2-22-2-222-22-2-2-22222-22-22-200002-20000-22-2200000000000000000000002-200
χ422-2-22-2-222-22-2-2-22222-22-22-20000-2200002-2-220000000000000000000000-2200
χ432-2-22-2-222-22-2-2-22222-2-22-2200002-20000-222-20000000000000000000000-2200
χ442-2-22-2-222-22-2-2-22222-2-22-220000-2200002-22-200000000000000000000002-200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ46444-4-4-44-4-4400400-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ47444-4-4-44-4-4400400-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ4844-4-44-4-44004-404-4000000000000000000000000022−2222−22000000000000000000
χ4944-4-44-4-44004-404-40000000000000000000000000−2222−2222000000000000000000
χ5044-4-44-4-4400-440-4400000000000004-400000000000000000000000000000000
χ5144-4-44-4-4400-440-440000000000000-4400000000000000000000000000000000
χ524-44-4-44-44004-40-440000000000000004-4000000000000000000000000000000
χ534-44-4-44-44004-40-44000000000000000-44000000000000000000000000000000
χ544-44-4-44-4400-4404-4000000000000000000000000022−22−2222000000000000000000
χ554-44-4-44-4400-4404-40000000000000000000000000−222222−22000000000000000000
χ564-4-44-4-4444-4444-4-4-44-400000000000000000000000000000000000000000000
χ574-4-4-4444-44400-400-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ584-4-4-4444-44400-400-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ594-4-4-4444-4-4-4004004004-4-440000000000000000000000000000000000000000
χ604-4-4-4444-4-4-400400400-444-40000000000000000000000000000000000000000
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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