Finite Group Databasebeta

← Group #338916

Character table — Group #338916

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-111-1-1-1-111111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-111
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-11111-1-11-1-1
χ9111111111111111111-1-1-1-111111111-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-1-1111-11
χ17222222222-222-2-2-22-2-2222200000022220000-2-2-2-2000000000000000-2000000000
χ18222222222-222-2-2-22-2-22222000000-2-2-2-2000022-2-20000000000000002000000000
χ19222222222-222-2-2-22-2-2-2-2-2-200000022-2-20000-2-2220000000000000002000000000
χ20222222222-222-2-2-22-2-2-2-2-2-2000000-2-22200002222000000000000000-2000000000
χ2122222222-22-2-2222-2-2-20000222222000022-2-200000000-2-200000000-20000000000
χ2222222222-22-2-2222-2-2-200002222-2-20000-2-22200000000-2-20000000020000000000
χ2322222222-22-2-2222-2-2-20000-2-2-2-2220000-2-222000000002200000000-20000000000
χ2422222222-22-2-2222-2-2-20000-2-2-2-2-2-2000022-2-200000000220000000020000000000
χ25222-22-2-2-2202-2000-20022-2-222−2−2002-22-20000000022−2−22−2000022−2−200002−200000
χ26222-22-2-2-2202-2000-20022-2-222−2−200-22-2200000000−2−2222−2000022−2−20000−2200000
χ27222-22-2-2-2202-2000-20022-2-2−2−222002-22-200000000−2−222−220000−2−2220000−2200000
χ28222-22-2-2-2202-2000-20022-2-2−2−22200-22-220000000022−2−2−220000−2−22200002−200000
χ29222-22-2-2-2202-2000-200-2-22222−2−2002-2-220000000022−2−22−20000−2−2220000−2200000
χ30222-22-2-2-2202-2000-200-2-22222−2−200-222-200000000−2−2222−20000−2−22200002−200000
χ31222-22-2-2-2202-2000-200-2-222−2−222002-2-2200000000−2−222−22000022−2−200002−200000
χ32222-22-2-2-2202-2000-200-2-222−2−22200-222-20000000022−2−2−22000022−2−20000−2200000
χ3322-22-2-22-20-200-2220002−22−22i−2i2i−2i2-200002i−2i00002−2000000i2i2−i2−i2i2−i2i2−i20000002−2000
χ3422-22-2-22-20-200-2220002−22−22i−2i2i−2i-220000−2i2i00002−2000000−i2−i2i2i2i2−i2i2−i2000000−22000
χ3522-22-2-22-20-200-2220002−22−2−2i2i−2i2i2-20000−2i2i00002−2000000−i2−i2i2i2−i2i2−i2i20000002−2000
χ3622-22-2-22-20-200-2220002−22−2−2i2i−2i2i-2200002i−2i00002−2000000i2i2−i2−i2−i2i2−i2i2000000−22000
χ3722-22-2-22-20-200-222000−22−222i−2i2i−2i2-200002i−2i0000−22000000−i2−i2i2i2−i2i2−i2i2000000−22000
χ3822-22-2-22-20-200-222000−22−222i−2i2i−2i-220000−2i2i0000−22000000i2i2−i2−i2−i2i2−i2i20000002−2000
χ3922-22-2-22-20-200-222000−22−22−2i2i−2i2i2-20000−2i2i0000−22000000i2i2−i2−i2i2−i2i2−i2000000−22000
χ4022-22-2-22-20-200-222000−22−22−2i2i−2i2i-2200002i−2i0000−22000000−i2−i2i2i2i2−i2i2−i20000002−2000
χ412-222-22-2-22-2-2-22-222-2200000000000000000000002i−2i2i−2i002-22-20000002i−2i0000000
χ422-222-22-2-22-2-2-22-222-2200000000000000000000002i−2i2i−2i00-22-22000000−2i2i0000000
χ432-222-22-2-22-2-2-22-222-220000000000000000000000−2i2i−2i2i002-22-2000000−2i2i0000000
χ442-222-22-2-22-2-2-22-222-220000000000000000000000−2i2i−2i2i00-22-220000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-4-40-4400040000002222−22−22000000000000000000−22220000000000000000000
χ47444-44-4-4-4-40-440004000000−22−22222200000000000000000022−220000000000000000000
χ4844-44-4-44-404004-4-400022−2222−220000000000000000−22220000000000000000000000000
χ4944-44-4-44-404004-4-4000−2222−2222000000000000000022−220000000000000000000000000
χ5044-4-4-44-44000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ5144-4-4-44-44000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ5244-4-4-44-440000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ5344-4-4-44-440000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ544-444-44-4-444-4-4-44-444-400000000000000000000000000000000000000000000000
χ554-444-44-4-4-4444-44-4-4-4400000000000000000000000000000000000000000000000
χ564-444-44-4-4-4-4444-44-44-400000000000000000000000000000000000000000000000
χ574-44-4-4-44440-44000-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ584-44-4-4-44440-44000-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ594-44-4-4-444-404-40004000000000000000000004-4000000000000000000000000000
χ604-44-4-4-444-404-4000400000000000000000000-44000000000000000000000000000
χ614-4-444-4-440400-4-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-444-4-440400-4-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-444-4-440-40044-400000000000000000004i−4i00000000000000000000000000000
χ644-4-444-4-440-40044-40000000000000000000−4i4i00000000000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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