Finite Group Databasebeta

← Group #340522

Character table — Group #340522

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-11-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-1-1-111-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-11
χ9111111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111111111-1-1-1-11-1-1
χ172222222222-22-2-2-22-2-20000222200000022-2-2-2-2-2-20000000000000000020000000
χ182222222222-22-2-2-22-2-200002222000000-2-22222-2-200000000000000000-20000000
χ192222222222-22-2-2-22-2-20000-2-2-2-20000002222-2-22200000000000000000-20000000
χ202222222222-22-2-2-22-2-20000-2-2-2-2000000-2-2-2-222220000000000000000020000000
χ2122222222-2-22-2222-2-2-22222000022-2-2-2-2000000000000-2-20000000000200000000
χ2222222222-2-22-2222-2-2-222220000-2-22222000000000000-2-20000000000-200000000
χ2322222222-2-22-2222-2-2-2-2-2-2-200002222-2-2000000000000220000000000-200000000
χ2422222222-2-22-2222-2-2-2-2-2-2-20000-2-2-2-222000000000000220000000000200000000
χ25222-2-22-2-200-20-2220002i2i−2i−2i22−2−2002-22i−2i0000002−2000000i2i2−i2−i2i2i2−i2−i20000002−2000
χ26222-2-22-2-200-20-2220002i2i−2i−2i22−2−200-22−2i2i0000002−2000000−i2−i2i2i2i2i2−i2−i2000000−22000
χ27222-2-22-2-200-20-2220002i2i−2i−2i−2−222002-22i−2i000000−22000000−i2−i2i2i2−i2−i2i2i2000000−22000
χ28222-2-22-2-200-20-2220002i2i−2i−2i−2−22200-22−2i2i000000−22000000i2i2−i2−i2−i2−i2i2i20000002−2000
χ29222-2-22-2-200-20-222000−2i−2i2i2i22−2−2002-2−2i2i0000002−2000000−i2−i2i2i2−i2−i2i2i20000002−2000
χ30222-2-22-2-200-20-222000−2i−2i2i2i22−2−200-222i−2i0000002−2000000i2i2−i2−i2−i2−i2i2i2000000−22000
χ31222-2-22-2-200-20-222000−2i−2i2i2i−2−222002-2−2i2i000000−22000000i2i2−i2−i2i2i2−i2−i2000000−22000
χ32222-2-22-2-200-20-222000−2i−2i2i2i−2−22200-222i−2i000000−22000000−i2−i2i2i2i2i2−i2−i20000002−2000
χ332-222-2-2-222-202000-2002−22−22i−2i2i−2i000000002i−2i2-20022−2−22−20000i2−i2i2−i20000i2−i200000
χ342-222-2-2-222-202000-2002−22−22i−2i2i−2i00000000−2i2i-2200−2−2222−20000i2−i2i2−i20000−i2i200000
χ352-222-2-2-222-202000-2002−22−2−2i2i−2i2i000000002i−2i-2200−2−2222−20000−i2i2−i2i20000i2−i200000
χ362-222-2-2-222-202000-2002−22−2−2i2i−2i2i00000000−2i2i2-20022−2−22−20000−i2i2−i2i20000−i2i200000
χ372-222-2-2-222-202000-200−22−222i−2i2i−2i000000002i−2i2-200−2−222−220000−i2i2−i2i20000−i2i200000
χ382-222-2-2-222-202000-200−22−222i−2i2i−2i00000000−2i2i-220022−2−2−220000−i2i2−i2i20000i2−i200000
χ392-222-2-2-222-202000-200−22−22−2i2i−2i2i000000002i−2i-220022−2−2−220000i2−i2i2−i20000−i2i200000
χ402-222-2-2-222-202000-200−22−22−2i2i−2i2i00000000−2i2i2-200−2−222−220000i2−i2i2−i20000i2−i200000
χ412-2-22-222-222-2-22-22-2-2200000000000000000000002i−2i2i−2i002i−2i2i−2i00002-2000000000
χ422-2-22-222-222-2-22-22-2-2200000000000000000000002i−2i2i−2i00−2i2i−2i2i0000-22000000000
χ432-2-22-222-222-2-22-22-2-220000000000000000000000−2i2i−2i2i002i−2i2i−2i0000-22000000000
χ442-2-22-222-222-2-22-22-2-220000000000000000000000−2i2i−2i2i00−2i2i−2i2i00002-2000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-400404-4-400000002222−22−22000000000000−22220000000000000000000000000
χ47444-4-44-4-400404-4-40000000−22−22222200000000000022−220000000000000000000000000
χ4844-444-4-4-44-40-400040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ4944-444-4-4-44-40-40004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5044-444-4-4-4-4404000-400000000000000004-40000000000000000000000000000000
χ5144-444-4-4-4-4404000-40000000000000000-440000000000000000000000000000000
χ524-444-4-4-44-440-400040022−2222−220000000000000000000000−22220000000000000000000
χ534-444-4-4-44-440-4000400−2222−2222000000000000000000000022−220000000000000000000
χ544-44-44-44-400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ554-44-44-44-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ564-44-44-44-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ574-44-44-44-40000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ584-4-44-444-4444-4-44-4-44-400000000000000000000000000000000000000000000000
χ594-4-44-444-4-4-444-44-44-4400000000000000000000000000000000000000000000000
χ604-4-44-444-4-4-4-444-4444-400000000000000000000000000000000000000000000000
χ614-4-4-444-440040-4-44000000000000000000000000000000022−22−2222000000000000000
χ624-4-4-444-440040-4-440000000000000000000000000000000−222222−22000000000000000
χ634-4-4-444-4400-4044-4000000000004-40000000000000000000000000000000000000
χ644-4-4-444-4400-4044-400000000000-440000000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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