Finite Group Databasebeta

← Group #341557

Character table — Group #341557

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111-1-1-1-1111111111111-1-11-1-1-111-1-1-1
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
χ51111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ61111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-111-1-111-1-11-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11-11111-111
χ9111111111111111111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-11-1
χ17222222222-22-22-22-2-2-222220000222200-2-2000000000000-2-2000000000-20000000
χ18222222222-22-22-22-2-2-222220000-2-2-2-20022000000000000-2-200000000020000000
χ19222222222-22-22-22-2-2-2-2-2-2-2000022-2-200-2-20000000000002200000000020000000
χ20222222222-22-22-22-2-2-2-2-2-2-20000-2-222002200000000000022000000000-20000000
χ2122222222-22-22-22-22-2-20000222200002200-2-2220000000000-2-2000000-200000000
χ2222222222-22-22-22-22-2-2000022220000-2-20022-2-20000000000-2-2000000200000000
χ2322222222-22-22-22-22-2-20000-2-2-2-200002200-2-2-2-2000000000022000000200000000
χ2422222222-22-22-22-22-2-20000-2-2-2-20000-2-2002222000000000022000000-200000000
χ25222-22-2-2-22020-20-200022-2-222−2−22-22-20000000022−2−20000002−222−2−200002−200000
χ26222-22-2-2-22020-20-200022-2-222−2−2-22-2200000000−2−2220000002−222−2−20000−2200000
χ27222-22-2-2-22020-20-200022-2-2−2−2222-22-200000000−2−222000000−22−2−2220000−2200000
χ28222-22-2-2-22020-20-200022-2-2−2−222-22-220000000022−2−2000000−22−2−22200002−200000
χ29222-22-2-2-22020-20-2000-2-22222−2−22-2-220000000022−2−20000002−2−2−2220000−2200000
χ30222-22-2-2-22020-20-2000-2-22222−2−2-222-200000000−2−2220000002−2−2−22200002−200000
χ31222-22-2-2-22020-20-2000-2-222−2−2222-2-2200000000−2−222000000−2222−2−200002−200000
χ32222-22-2-2-22020-20-2000-2-222−2−222-222-20000000022−2−2000000−2222−2−20000−2200000
χ3322-2-2-222-20-20-20202002−22−22i−2i2i−2i00002-200002i−2i000022−2−22−200i2−i2i2−i2000000i2−i2000
χ3422-2-2-222-20-20-20202002−22−22i−2i2i−2i0000-220000−2i2i0000−2−2222−200i2−i2i2−i2000000−i2i2000
χ3522-2-2-222-20-20-20202002−22−2−2i2i−2i2i00002-20000−2i2i000022−2−22−200−i2i2−i2i2000000−i2i2000
χ3622-2-2-222-20-20-20202002−22−2−2i2i−2i2i0000-2200002i−2i0000−2−2222−200−i2i2−i2i2000000i2−i2000
χ3722-2-2-222-20-20-2020200−22−222i−2i2i−2i00002-200002i−2i0000−2−222−2200−i2i2−i2i2000000−i2i2000
χ3822-2-2-222-20-20-2020200−22−222i−2i2i−2i0000-220000−2i2i000022−2−2−2200−i2i2−i2i2000000i2−i2000
χ3922-2-2-222-20-20-2020200−22−22−2i2i−2i2i00002-20000−2i2i0000−2−222−2200i2−i2i2−i2000000i2−i2000
χ4022-2-2-222-20-20-2020200−22−22−2i2i−2i2i0000-2200002i−2i000022−2−2−2200i2−i2i2−i2000000−i2i2000
χ412-222-22-2-222-2-222-2-22-2000000000000000000002-22-22-22-2000000002-2000000000
χ422-222-22-2-222-2-222-2-22-2000000000000000000002-22-2-22-2200000000-22000000000
χ432-222-22-2-222-2-222-2-22-200000000000000000000-22-222-22-200000000-22000000000
χ442-222-22-2-222-2-222-2-22-200000000000000000000-22-22-22-22000000002-2000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-4-40-4040400000002222−22−220000000000000000000000−2222000000000000000
χ47444-44-4-4-4-40-404040000000−22−222222000000000000000000000022−22000000000000000
χ4844-44-4-4-44000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ4944-44-4-4-44000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ5044-44-4-4-440000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ5144-44-4-4-440000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ5244-4-4-444-404040-40-40022−2222−22000000000000000000000000−222200000000000000000
χ5344-4-4-444-404040-40-400−2222−222200000000000000000000000022−2200000000000000000
χ544-444-44-4-44-4-444-4-44-4400000000000000000000000000000000000000000000000
χ554-444-44-4-4-444-4-444-4-4400000000000000000000000000000000000000000000000
χ564-444-44-4-4-4-444-4-4444-400000000000000000000000000000000000000000000000
χ574-44-4-4-44440-40-4040000000000000000000000022−22−222200000000000000000000000
χ584-44-4-4-44440-40-40400000000000000000000000−222222−2200000000000000000000000
χ594-44-4-4-444-404040-4000000000000000004-40000000000000000000000000000000
χ604-44-4-4-444-404040-400000000000000000-440000000000000000000000000000000
χ614-4-4-444-44040-40-4040000000000000000004-400000000000000000000000000000
χ624-4-4-444-44040-40-404000000000000000000-4400000000000000000000000000000
χ634-4-4-444-440-404040-40000000000000000000000000022−22−22220000000000000000000
χ644-4-4-444-440-404040-400000000000000000000000000−222222−220000000000000000000
χ658-8-888-88-8000000000000000000000000000000000000000000000000000000000

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