Finite Group Databasebeta

← Group #338751

Character table — Group #338751

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-111
χ71111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-111-1-1-1111-1-1
χ9111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-111-111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1-1-1-1-1111-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1-11-11
χ172222222222-2-22-2-22-2-20000222222000022-2-2000000000000-2-20000-20000000000
χ182222222222-2-22-2-22-2-200002222-2-20000-2-222000000000000-2-2000020000000000
χ192222222222-2-22-2-22-2-20000-2-2-2-2220000-2-222000000000000220000-20000000000
χ202222222222-2-22-2-22-2-20000-2-2-2-2-2-2000022-2-200000000000022000020000000000
χ2122222222-2-222-222-2-2-2222200000022220000-2-2-2-200000000000000000-20000000
χ2222222222-2-222-222-2-2-22222000000-2-2-2-2000022-2-20000000000000000020000000
χ2322222222-2-222-222-2-2-2-2-2-2-200000022-2-20000-2-2220000000000000000020000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000000-2-2220000222200000000000000000-20000000
χ25222-22-2-2-2-22-2-2-2222-22000000000000000000000022-2-22i2i−2i−2i00000002i−2i00000000
χ26222-22-2-2-2-22-2-2-2222-22000000000000000000000022-2-2−2i−2i2i2i0000000−2i2i00000000
χ27222-22-2-2-2-22-2-2-2222-220000000000000000000000-2-2222i2i−2i−2i0000000−2i2i00000000
χ28222-22-2-2-2-22-2-2-2222-220000000000000000000000-2-222−2i−2i2i2i00000002i−2i00000000
χ2922-22-2-22-2-2200200-200i2i2−i2−i222-2-22-200002-20000i2−i2i2−i2i2−i2000000i2i2−i2−i20000i2−i200000
χ3022-22-2-22-2-2200200-200i2i2−i2−i222-2-2-220000-220000i2−i2−i2i2−i2i2000000i2i2−i2−i20000−i2i200000
χ3122-22-2-22-2-2200200-200i2i2−i2−i2-2-2222-20000-220000i2−i2−i2i2−i2i2000000−i2−i2i2i20000i2−i200000
χ3222-22-2-22-2-2200200-200i2i2−i2−i2-2-222-2200002-20000i2−i2i2−i2i2−i2000000−i2−i2i2i20000−i2i200000
χ3322-22-2-22-2-2200200-200−i2−i2i2i222-2-22-200002-20000−i2i2−i2i2−i2i2000000−i2−i2i2i20000−i2i200000
χ3422-22-2-22-2-2200200-200−i2−i2i2i222-2-2-220000-220000−i2i2i2−i2i2−i2000000−i2−i2i2i20000i2−i200000
χ3522-22-2-22-2-2200200-200−i2−i2i2i2-2-2222-20000-220000−i2i2i2−i2i2−i2000000i2i2−i2−i20000−i2i200000
χ3622-22-2-22-2-2200200-200−i2−i2i2i2-2-222-2200002-20000−i2i2−i2i2−i2i2000000i2i2−i2−i20000i2−i200000
χ372-2-2222-2-2002-202-20002-22-2i2−i2i2−i2002-22-2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2000000i2−i2000
χ382-2-2222-2-2002-202-20002-22-2i2−i2i2−i200-22-22000000000000−i2i2−i2i2i2−i2i2−i2i2−i2000000−i2i2000
χ392-2-2222-2-2002-202-20002-22-2−i2i2−i2i2002-22-2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2000000−i2i2000
χ402-2-2222-2-2002-202-20002-22-2−i2i2−i2i200-22-22000000000000i2−i2i2−i2−i2i2−i2i2−i2i2000000i2−i2000
χ412-2-2222-2-2002-202-2000-22-22i2−i2i2−i2002-2-22000000000000i2−i2i2−i2i2−i2−i2i2−i2i2000000−i2i2000
χ422-2-2222-2-2002-202-2000-22-22i2−i2i2−i200-222-2000000000000−i2i2−i2i2i2−i2−i2i2−i2i2000000i2−i2000
χ432-2-2222-2-2002-202-2000-22-22−i2i2−i2i2002-2-22000000000000−i2i2−i2i2−i2i2i2−i2i2−i2000000i2−i2000
χ442-2-2222-2-2002-202-2000-22-22−i2i2−i2i200-222-2000000000000i2−i2i2−i2−i2i2i2−i2i2−i2000000−i2i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-44-4444-4-4-4-4400000000000000000000000000000000000000000000000
χ47444-44-4-4-44-4-4-4444-44-400000000000000000000000000000000000000000000000
χ48444-44-4-4-4-4444-4-4-444-400000000000000000000000000000000000000000000000
χ4944-44-4-44-44-400-4004002i22i2−2i2−2i20000000000000000−2i22i20000000000000000000000000
χ5044-44-4-44-44-400-400400−2i2−2i22i22i200000000000000002i2−2i20000000000000000000000000
χ5144-4-4-44-444400-400-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5244-4-4-44-444400-400-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5344-4-4-44-44-4-40040040000000000000000004-400000000000000000000000000000
χ5444-4-4-44-44-4-4004004000000000000000000-4400000000000000000000000000000
χ554-444-4-4-4400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ564-444-4-4-4400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ574-444-4-4-440000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ584-444-4-4-440000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ594-4-4444-4-400-440-4400000002i2−2i22i2−2i20000000000000000000000−2i22i2000000000000000
χ604-4-4444-4-400-440-440000000−2i22i2−2i22i200000000000000000000002i2−2i2000000000000000
χ614-4-4-44-444004-40-440000000000000000000004-4000000000000000000000000000
χ624-4-4-44-444004-40-44000000000000000000000-44000000000000000000000000000
χ634-4-4-44-44400-4404-40000000000000000000000000000022−22−222200000000000000000
χ644-4-4-44-44400-4404-400000000000000000000000000000−222222−2200000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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