Finite Group Databasebeta

← Group #341553

Character table — Group #341553

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888822448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-11-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-11-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-11
χ9111111111111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-11
χ17222222222-22-22-22-2-2-20000222200220000-2-2220000000000-2-20000000-20000000
χ18222222222-22-22-22-2-2-20000222200-2-2000022-2-20000000000-2-2000000020000000
χ19222222222-22-22-22-2-2-20000-2-2-2-200220000-2-2-2-2000000000022000000020000000
χ20222222222-22-22-22-2-2-20000-2-2-2-200-2-2000022220000000000220000000-20000000
χ2122222222-22-22-22-22-2-2222200002200-2-222000000000000-2-200000000-200000000
χ2222222222-22-22-22-22-2-222220000-2-20022-2-2000000000000-2-200000000200000000
χ2322222222-22-22-22-22-2-2-2-2-2-200002200-2-2-2-20000000000002200000000200000000
χ2422222222-22-22-22-22-2-2-2-2-2-20000-2-20022220000000000002200000000-200000000
χ25222-2-22-2-20-20-20202002i2i−2i−2i22−2−22-200002i−2i000022−2−20000002−2i2i2−i2−i20000i2−i200000
χ26222-2-22-2-20-20-20202002i2i−2i−2i22−2−2-220000−2i2i0000−2−2220000002−2i2i2−i2−i20000−i2i200000
χ27222-2-22-2-20-20-20202002i2i−2i−2i−2−2222-200002i−2i0000−2−222000000−22−i2−i2i2i20000−i2i200000
χ28222-2-22-2-20-20-20202002i2i−2i−2i−2−222-220000−2i2i000022−2−2000000−22−i2−i2i2i20000i2−i200000
χ29222-2-22-2-20-20-2020200−2i−2i2i2i22−2−22-20000−2i2i000022−2−20000002−2−i2−i2i2i20000−i2i200000
χ30222-2-22-2-20-20-2020200−2i−2i2i2i22−2−2-2200002i−2i0000−2−2220000002−2−i2−i2i2i20000i2−i200000
χ31222-2-22-2-20-20-2020200−2i−2i2i2i−2−2222-20000−2i2i0000−2−222000000−22i2i2−i2−i20000i2−i200000
χ32222-2-22-2-20-20-2020200−2i−2i2i2i−2−222-2200002i−2i000022−2−2000000−22i2i2−i2−i20000−i2i200000
χ3322-22-2-22-2-20-202020002−22−22i−2i2i−2i002-20000002i−2i000022−2−22−200i2−i2i2−i2000000i2−i2000
χ3422-22-2-22-2-20-202020002−22−22i−2i2i−2i00-22000000−2i2i0000−2−2222−200i2−i2i2−i2000000−i2i2000
χ3522-22-2-22-2-20-202020002−22−2−2i2i−2i2i002-2000000−2i2i000022−2−22−200−i2i2−i2i2000000−i2i2000
χ3622-22-2-22-2-20-202020002−22−2−2i2i−2i2i00-220000002i−2i0000−2−2222−200−i2i2−i2i2000000i2−i2000
χ3722-22-2-22-2-20-20202000−22−222i−2i2i−2i002-20000002i−2i0000−2−222−2200−i2i2−i2i2000000−i2i2000
χ3822-22-2-22-2-20-20202000−22−222i−2i2i−2i00-22000000−2i2i000022−2−2−2200−i2i2−i2i2000000i2−i2000
χ3922-22-2-22-2-20-20202000−22−22−2i2i−2i2i002-2000000−2i2i0000−2−222−2200i2−i2i2−i2000000i2−i2000
χ4022-22-2-22-2-20-20202000−22−22−2i2i−2i2i00-220000002i−2i000022−2−2−2200i2−i2i2−i2000000−i2i2000
χ412-2222-2-2-222-2-222-2-22-2000000000000000000002-22-22-22-2000000002-2000000000
χ422-2222-2-2-222-2-222-2-22-2000000000000000000002-22-2-22-2200000000-22000000000
χ432-2222-2-2-222-2-222-2-22-200000000000000000000-22-222-22-200000000-22000000000
χ442-2222-2-2-222-2-222-2-22-200000000000000000000-22-22-22-22000000002-2000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-404040-40-40000002222−22−220000000000000000000000−2222000000000000000
χ47444-4-44-4-404040-40-4000000−22−222222000000000000000000000022−22000000000000000
χ4844-44-4-44-44040-40-400022−2222−22000000000000000000000000−222200000000000000000
χ4944-44-4-44-44040-40-4000−2222−222200000000000000000000000022−2200000000000000000
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
χ544-4444-4-4-44-4-444-4-44-4400000000000000000000000000000000000000000000000
χ554-4444-4-4-4-444-4-444-4-4400000000000000000000000000000000000000000000000
χ564-4444-4-4-4-4-444-4-4444-400000000000000000000000000000000000000000000000
χ574-44-4-4-444040-40-404000000000000004-4000000000000000000000000000000000
χ584-44-4-4-444040-40-40400000000000000-44000000000000000000000000000000000
χ594-44-4-4-4440-404040-4000000000000000000000022−22−222200000000000000000000000
χ604-44-4-4-4440-404040-40000000000000000000000−222222−2200000000000000000000000
χ614-4-44-44-4440-40-40400000000000000000004-400000000000000000000000000000
χ624-4-44-44-4440-40-4040000000000000000000-4400000000000000000000000000000
χ634-4-44-44-44-404040-400000000000000000000000000022−22−22220000000000000000000
χ644-4-44-44-44-404040-4000000000000000000000000000−222222−220000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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