Finite Group Databasebeta

← Group #340596

Character table — Group #340596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111-1-1-1-1111111111111-11-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1
χ61111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-11-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11-1-111111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-1-11-1
χ9111111111111111111-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-111
χ172222222222-22-2-2-22-2-22222000022-2-200-2-20000000000-2-20000000020000000000
χ182222222222-22-2-2-22-2-222220000-2-22200220000000000-2-200000000-20000000000
χ192222222222-22-2-2-22-2-2-2-2-2-2000022-2-2002200000000002200000000-20000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000-2-22200-2-20000000000220000000020000000000
χ2122222222-2-22-2222-2-2-2000022220000220022-2-20000-2-200000000000-2000000000
χ2222222222-2-22-2222-2-2-2000022220000-2-200-2-2220000-2-2000000000002000000000
χ2322222222-2-22-2222-2-2-20000-2-2-2-200002200-2-22200002200000000000-2000000000
χ2422222222-2-22-2222-2-2-20000-2-2-2-20000-2-20022-2-2000022000000000002000000000
χ25222-2-22-2-22-20-20002002i2i−2i−2i22−2−2002i−2i002-20000i2i2−i2−i22−2000000i2i2−i2−i200002−200000
χ26222-2-22-2-22-20-20002002i2i−2i−2i22−2−200−2i2i00-220000−i2−i2i2i22−2000000i2i2−i2−i20000−2200000
χ27222-2-22-2-22-20-20002002i2i−2i−2i−2−222002i−2i002-20000−i2−i2i2i2−22000000−i2−i2i2i20000−2200000
χ28222-2-22-2-22-20-20002002i2i−2i−2i−2−22200−2i2i00-220000i2i2−i2−i2−22000000−i2−i2i2i200002−200000
χ29222-2-22-2-22-20-2000200−2i−2i2i2i22−2−2002i−2i00-220000i2i2−i2−i22−2000000−i2−i2i2i20000−2200000
χ30222-2-22-2-22-20-2000200−2i−2i2i2i22−2−200−2i2i002-20000−i2−i2i2i22−2000000−i2−i2i2i200002−200000
χ31222-2-22-2-22-20-2000200−2i−2i2i2i−2−222002i−2i00-220000−i2−i2i2i2−22000000i2i2−i2−i200002−200000
χ32222-2-22-2-22-20-2000200−2i−2i2i2i−2−22200−2i2i002-20000i2i2−i2−i2−22000000i2i2−i2−i20000−2200000
χ3322-2-2-2-22222-2-22-22-2-22000000000000000000002i−2i2i−2i00002i2i−2i−2i0000002-20000000
χ3422-2-2-2-22222-2-22-22-2-22000000000000000000002i−2i2i−2i0000−2i−2i2i2i000000-220000000
χ3522-2-2-2-22222-2-22-22-2-2200000000000000000000−2i2i−2i2i00002i2i−2i−2i000000-220000000
χ3622-2-2-2-22222-2-22-22-2-2200000000000000000000−2i2i−2i2i0000−2i−2i2i2i0000002-20000000
χ372-222-2-22-20020-2-22000i2−i2i2−i22i−2i2i−2i00002i−2i002-200000000i2−i2i2−i2i2−i22−22−20000002−2000
χ382-222-2-22-20020-2-22000i2−i2i2−i22i−2i2i−2i0000−2i2i00-2200000000i2−i2−i2i2−i2i22−22−2000000−22000
χ392-222-2-22-20020-2-22000i2−i2i2−i2−2i2i−2i2i00002i−2i00-2200000000i2−i2−i2i2−i2i2−22−220000002−2000
χ402-222-2-22-20020-2-22000i2−i2i2−i2−2i2i−2i2i0000−2i2i002-200000000i2−i2i2−i2i2−i2−22−22000000−22000
χ412-222-2-22-20020-2-22000−i2i2−i2i22i−2i2i−2i00002i−2i002-200000000−i2i2−i2i2−i2i2−22−22000000−22000
χ422-222-2-22-20020-2-22000−i2i2−i2i22i−2i2i−2i0000−2i2i00-2200000000−i2i2i2−i2i2−i2−22−220000002−2000
χ432-222-2-22-20020-2-22000−i2i2−i2i2−2i2i−2i2i00002i−2i00-2200000000−i2i2i2−i2i2−i22−22−2000000−22000
χ442-222-2-22-20020-2-22000−i2i2−i2i2−2i2i−2i2i0000−2i2i002-200000000−i2i2−i2i2−i2i22−22−20000002−2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-4-4404000-40000002222−22−220000000000000000−2222000000000000000000000
χ47444-4-44-4-4-4404000-4000000−22−222222000000000000000022−22000000000000000000000
χ4844-444-4-4-44-404000-4000000000000000000000022−22−222200000000000000000000000
χ4944-444-4-4-44-404000-40000000000000000000000−222222−2200000000000000000000000
χ5044-444-4-4-4-440-4000400000000004i−4i0000000000000000000000000000000000000
χ5144-444-4-4-4-440-400040000000000−4i4i0000000000000000000000000000000000000
χ5244-4-4-4-444444-4-44-4-44-400000000000000000000000000000000000000000000000
χ5344-4-4-4-444-4-444-44-44-4400000000000000000000000000000000000000000000000
χ5444-4-4-4-444-4-4-444-4444-400000000000000000000000000000000000000000000000
χ554-444-4-44-400-4044-40002i2−2i22i2−2i20000000000000000000000−2i22i20000000000000000000
χ564-444-4-44-400-4044-4000−2i22i2−2i22i200000000000000000000002i2−2i20000000000000000000
χ574-44-44-4-44000000000022−22−22222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ584-44-44-4-44000000000022−22−2222−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ594-44-44-4-440000000000−222222−222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ604-44-44-4-440000000000−222222−22−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ614-4-4-4444-400404-4-40000000000000000000004i−4i000000000000000000000000000
χ624-4-4-4444-400404-4-4000000000000000000000−4i4i000000000000000000000000000
χ634-4-4-4444-400-40-444000000000000000000000000000000022−22−2222000000000000000
χ644-4-4-4444-400-40-4440000000000000000000000000000000−222222−22000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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