Finite Group Databasebeta

← Group #340071

Character table — Group #340071

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1111111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ61111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-11111-1-11-1-1
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
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-1111-11
χ172222222222-2-22-22-2-2-2222200002200-2-200-2-200-2-20000000000000002000000000
χ182222222222-2-22-22-2-2-222220000-2-20022002200-2-2000000000000000-2000000000
χ192222222222-2-22-22-2-2-2-2-2-2-2000022002200-2-20022000000000000000-2000000000
χ202222222222-2-22-22-2-2-2-2-2-2-20000-2-200-2-2002200220000000000000002000000000
χ2122222222-2-222-22-22-2-2000022220022002200-2-200-2-2000000000000-20000000000
χ2222222222-2-222-22-22-2-20000222200-2-200-2-2002200-2-200000000000020000000000
χ2322222222-2-222-22-22-2-20000-2-2-2-2002200-2-200220022000000000000-20000000000
χ2422222222-2-222-22-22-2-20000-2-2-2-200-2-2002200-2-2002200000000000020000000000
χ25222-2-2-22-2002-20-2020022−2−22i2i−2i−2i002i−2i002-200002−200000022−2−2i2i2−i2−i2000000i2−i2000
χ26222-2-2-22-2002-20-2020022−2−22i2i−2i−2i00−2i2i00-2200002−2000000−2−222i2i2−i2−i2000000−i2i2000
χ27222-2-2-22-2002-20-2020022−2−2−2i−2i2i2i002i−2i00-2200002−2000000−2−222−i2−i2i2i2000000i2−i2000
χ28222-2-2-22-2002-20-2020022−2−2−2i−2i2i2i00−2i2i002-200002−200000022−2−2−i2−i2i2i2000000−i2i2000
χ29222-2-2-22-2002-20-20200−2−2222i2i−2i−2i002i−2i002-20000−22000000−2−222−i2−i2i2i2000000−i2i2000
χ30222-2-2-22-2002-20-20200−2−2222i2i−2i−2i00−2i2i00-220000−2200000022−2−2−i2−i2i2i2000000i2−i2000
χ31222-2-2-22-2002-20-20200−2−222−2i−2i2i2i002i−2i00-220000−2200000022−2−2i2i2−i2−i2000000−i2i2000
χ32222-2-2-22-2002-20-20200−2−222−2i−2i2i2i00−2i2i002-20000−22000000−2−222i2i2−i2−i2000000i2−i2000
χ3322-22-22-2-22-200-2020002i−2i2i−2i2−22−200002-2002i−2i00002−2i2i2−i2−i20000i2−i2i2−i200002−200000
χ3422-22-22-2-22-200-2020002i−2i2i−2i2−22−20000-2200−2i2i00002−2−i2−i2i2i20000i2−i2i2−i20000−2200000
χ3522-22-22-2-22-200-2020002i−2i2i−2i−22−2200002-2002i−2i0000−22−i2−i2i2i20000−i2i2−i2i20000−2200000
χ3622-22-22-2-22-200-2020002i−2i2i−2i−22−220000-2200−2i2i0000−22i2i2−i2−i20000−i2i2−i2i200002−200000
χ3722-22-22-2-22-200-202000−2i2i−2i2i2−22−200002-200−2i2i00002−2−i2−i2i2i20000−i2i2−i2i200002−200000
χ3822-22-22-2-22-200-202000−2i2i−2i2i2−22−20000-22002i−2i00002−2i2i2−i2−i20000−i2i2−i2i20000−2200000
χ3922-22-22-2-22-200-202000−2i2i−2i2i−22−2200002-200−2i2i0000−22i2i2−i2−i20000i2−i2i2−i20000−2200000
χ4022-22-22-2-22-200-202000−2i2i−2i2i−22−220000-22002i−2i0000−22−i2−i2i2i20000i2−i2i2−i200002−200000
χ412-2-22-2-222-2-2-2-222222-20000000000000000000000002-22-22-22-20000002-20000000
χ422-2-22-2-222-2-2-2-222222-20000000000000000000000002-22-2-22-22000000-220000000
χ432-2-22-2-222-2-2-2-222222-2000000000000000000000000-22-222-22-2000000-220000000
χ442-2-22-2-222-2-2-2-222222-2000000000000000000000000-22-22-22-220000002-20000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-400-44040-4002222−22−220000000000000000−22220000000000000000000000000
χ47444-4-4-44-400-44040-400−22−222222000000000000000022−220000000000000000000000000
χ4844-44-44-4-4-440040-4000000022−2222−2200000000000000−222200000000000000000000000
χ4944-44-44-4-4-440040-40000000−2222−22220000000000000022−2200000000000000000000000
χ5044-4-44-4-4400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ5144-4-44-4-4400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ5244-4-44-4-440000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ5344-4-44-4-440000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ544-4444-4-4-44-40040-4000000000004-40000000000000000000000000000000000000
χ554-4444-4-4-44-40040-400000000000-440000000000000000000000000000000000000
χ564-4444-4-4-4-4400-4040000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ574-4444-4-4-4-4400-404000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ584-4-44-4-4444444-4-4-4-44-400000000000000000000000000000000000000000000000
χ594-4-44-4-44444-4-4-44-44-4400000000000000000000000000000000000000000000000
χ604-4-44-4-444-4-4444-44-4-4400000000000000000000000000000000000000000000000
χ614-4-4-4444-4004-4040-4000000000000000000004i−4i000000000000000000000000000
χ624-4-4-4444-4004-4040-400000000000000000000−4i4i000000000000000000000000000
χ634-4-4-4444-400-440-40400000000000000000000000000000022−22−2222000000000000000
χ644-4-4-4444-400-440-404000000000000000000000000000000−222222−22000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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