Finite Group Databasebeta

← Group #340082

Character table — Group #340082

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111-1-11111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-111-1-111-1-11111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-11111-111
χ9111111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ172222222222-2-22-2-22-2-200002222002200-2-200-2-2-2-20000000000000002000000000
χ182222222222-2-22-2-22-2-20000222200-2-200220022-2-2000000000000000-2000000000
χ192222222222-2-22-2-22-2-20000-2-2-2-20022002200-2-222000000000000000-2000000000
χ202222222222-2-22-2-22-2-20000-2-2-2-200-2-200-2-20022220000000000000002000000000
χ2122222222-2-222-222-2-2-2222200002200-2-200-2-20000-2-200000000000020000000000
χ2222222222-2-222-222-2-2-222220000-2-2002200220000-2-2000000000000-20000000000
χ2322222222-2-222-222-2-2-2-2-2-2-2000022002200-2-2000022000000000000-20000000000
χ2422222222-2-222-222-2-2-2-2-2-2-20000-2-200-2-2002200002200000000000020000000000
χ2522-22-2-22-2002-202-20002i2i−2i−2ii2i2−i2−i200002-2002i−2i00i2−i200000022−2−222−2−2000000i2−i2000
χ2622-22-2-22-2002-202-20002i2i−2i−2ii2i2−i2−i20000-2200−2i2i00i2−i2000000−2−22222−2−2000000−i2i2000
χ2722-22-2-22-2002-202-20002i2i−2i−2i−i2−i2i2i200002-2002i−2i00−i2i2000000−2−222−2−222000000−i2i2000
χ2822-22-2-22-2002-202-20002i2i−2i−2i−i2−i2i2i20000-2200−2i2i00−i2i200000022−2−2−2−222000000i2−i2000
χ2922-22-2-22-2002-202-2000−2i−2i2i2ii2i2−i2−i200002-200−2i2i00i2−i2000000−2−222−2−222000000i2−i2000
χ3022-22-2-22-2002-202-2000−2i−2i2i2ii2i2−i2−i20000-22002i−2i00i2−i200000022−2−2−2−222000000−i2i2000
χ3122-22-2-22-2002-202-2000−2i−2i2i2i−i2−i2i2i200002-200−2i2i00−i2i200000022−2−222−2−2000000−i2i2000
χ3222-22-2-22-2002-202-2000−2i−2i2i2i−i2−i2i2i20000-22002i−2i00−i2i2000000−2−22222−2−2000000i2−i2000
χ332-22-2-2-222-2-2-2-222222-200000000000000000000000022-2-22-22-20000002-20000000
χ342-22-2-2-222-2-2-2-222222-200000000000000000000000022-2-2-22-22000000-220000000
χ352-22-2-2-222-2-2-2-222222-2000000000000000000000000-2-2222-22-2000000-220000000
χ362-22-2-2-222-2-2-2-222222-2000000000000000000000000-2-222-22-220000002-20000000
χ372-2-222-2-222-200200-2002−22−22i−2i2i−2i0000002-2002i−2i002−2i2−i2i2−i20000i2−i2i2−i200002−200000
χ382-2-222-2-222-200200-2002−22−22i−2i2i−2i000000-2200−2i2i002−2−i2i2−i2i20000i2−i2i2−i20000−2200000
χ392-2-222-2-222-200200-2002−22−2−2i2i−2i2i0000002-200−2i2i002−2−i2i2−i2i20000−i2i2−i2i200002−200000
χ402-2-222-2-222-200200-2002−22−2−2i2i−2i2i000000-22002i−2i002−2i2−i2i2−i20000−i2i2−i2i20000−2200000
χ412-2-222-2-222-200200-200−22−222i−2i2i−2i0000002-2002i−2i00−22−i2i2−i2i20000−i2i2−i2i20000−2200000
χ422-2-222-2-222-200200-200−22−222i−2i2i−2i000000-2200−2i2i00−22i2−i2i2−i20000−i2i2−i2i200002−200000
χ432-2-222-2-222-200200-200−22−22−2i2i−2i2i0000002-200−2i2i00−22i2−i2i2−i20000i2−i2i2−i20000−2200000
χ442-2-222-2-222-200200-200−22−22−2i2i−2i2i000000-22002i−2i00−22−i2i2−i2i20000i2−i2i2−i200002−200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ4644-44-4-44-400-440-4400000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ4744-44-4-44-400-440-440000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ4844-4-4-44-444-400-40040000000000004-400000000000000000000000000000000000
χ4944-4-4-44-444-400-4004000000000000-4400000000000000000000000000000000000
χ5044-4-4-44-44-4400400-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5144-4-4-44-44-4400400-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ524-444-44-4-400000000002i2−2i2−2i22i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ534-444-44-4-400000000002i2−2i2−2i22i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ544-444-44-4-40000000000−2i22i22i2−2i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ554-444-44-4-40000000000−2i22i22i2−2i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ564-44-4-4-4444444-4-4-4-44-400000000000000000000000000000000000000000000000
χ574-44-4-4-44444-4-4-444-4-4400000000000000000000000000000000000000000000000
χ584-44-4-4-444-4-4444-4-44-4400000000000000000000000000000000000000000000000
χ594-4-444-4-44-4400-40040022−2222−22000000000000000000−222200000000000000000000000
χ604-4-444-4-44-4400-400400−2222−222200000000000000000022−2200000000000000000000000
χ614-4-4-4444-4004-40-44000000000004-40000000000000000000000000000000000000
χ624-4-4-4444-4004-40-4400000000000-440000000000000000000000000000000000000
χ634-4-4-4444-400-4404-4000000000000000000000000000000022−22−2222000000000000000
χ644-4-4-4444-400-4404-40000000000000000000000000000000−222222−22000000000000000
χ65888-88-8-8-8000000000000000000000000000000000000000000000000000000000

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