Finite Group Databasebeta

← Group #335779

Character table — Group #335779

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-11111-1-1-1-111111111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-11-11
χ61111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-111-111-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111111-11
χ9111111111111111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-111-1-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-11-1-111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111111111-1-1-1-11-1-1
χ172222222222-22-2-2-22-2-22222000022-2-20000-2-200000000-2-20000000000020000000
χ182222222222-22-2-2-22-2-222220000-2-22200002200000000-2-200000000000-20000000
χ192222222222-22-2-2-22-2-2-2-2-2-2000022220000-2-2000000002200000000000-20000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000-2-2-2-200002200000000220000000000020000000
χ2122222222-2-22-2222-2-2-200002222000022-2-200-2-2-2-20000000000000020000000000
χ2222222222-2-22-2222-2-2-2000022220000-2-2220022-2-200000000000000-20000000000
χ2322222222-2-22-2222-2-2-20000-2-2-2-20000222200-2-22200000000000000-20000000000
χ2422222222-2-22-2222-2-2-20000-2-2-2-20000-2-2-2-20022220000000000000020000000000
χ2522-222-2-2-22-20-20002002i2i−2i−2i22−2−2002-200002i−2i002−2i2i2−i2−i2000000i2i2−i2−i200002−200000
χ2622-222-2-2-22-20-20002002i2i−2i−2i22−2−200-220000−2i2i002−2−i2−i2i2i2000000i2i2−i2−i20000−2200000
χ2722-222-2-2-22-20-20002002i2i−2i−2i−2−222002-200002i−2i00−22−i2−i2i2i2000000−i2−i2i2i20000−2200000
χ2822-222-2-2-22-20-20002002i2i−2i−2i−2−22200-220000−2i2i00−22i2i2−i2−i2000000−i2−i2i2i200002−200000
χ2922-222-2-2-22-20-2000200−2i−2i2i2i22−2−2002-20000−2i2i002−2−i2−i2i2i2000000−i2−i2i2i200002−200000
χ3022-222-2-2-22-20-2000200−2i−2i2i2i22−2−200-2200002i−2i002−2i2i2−i2−i2000000−i2−i2i2i20000−2200000
χ3122-222-2-2-22-20-2000200−2i−2i2i2i−2−222002-20000−2i2i00−22i2i2−i2−i2000000i2i2−i2−i20000−2200000
χ3222-222-2-2-22-20-2000200−2i−2i2i2i−2−22200-2200002i−2i00−22−i2−i2i2i2000000i2i2−i2−i200002−200000
χ332-22-22-2-2222-2-22-22-2-2200000000000000000000002-22-2002i2i−2i−2i000002i−2i00000000
χ342-22-22-2-2222-2-22-22-2-2200000000000000000000002-22-200−2i−2i2i2i00000−2i2i00000000
χ352-22-22-2-2222-2-22-22-2-220000000000000000000000-22-22002i2i−2i−2i00000−2i2i00000000
χ362-22-22-2-2222-2-22-22-2-220000000000000000000000-22-2200−2i−2i2i2i000002i−2i00000000
χ372-2-22-22-2200202-2-20002−22−22i−2i2i−2i0000002i−2i002-20000002−22−22−2i2−i2i2−i2000000i2−i2000
χ382-2-22-22-2200202-2-20002−22−22i−2i2i−2i000000−2i2i00-220000002−2−22−22i2−i2i2−i2000000−i2i2000
χ392-2-22-22-2200202-2-20002−22−2−2i2i−2i2i0000002i−2i00-220000002−2−22−22−i2i2−i2i2000000i2−i2000
χ402-2-22-22-2200202-2-20002−22−2−2i2i−2i2i000000−2i2i002-20000002−22−22−2−i2i2−i2i2000000−i2i2000
χ412-2-22-22-2200202-2-2000−22−222i−2i2i−2i0000002i−2i002-2000000−22−22−22−i2i2−i2i2000000−i2i2000
χ422-2-22-22-2200202-2-2000−22−222i−2i2i−2i000000−2i2i00-22000000−222−22−2−i2i2−i2i2000000i2−i2000
χ432-2-22-22-2200202-2-2000−22−22−2i2i−2i2i0000002i−2i00-22000000−222−22−2i2−i2i2−i2000000−i2i2000
χ442-2-22-22-2200202-2-2000−22−22−2i2i−2i2i000000−2i2i002-2000000−22−22−22i2−i2i2−i2000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ4644-444-4-4-4-4404000-40000002222−22−22000000000000−22220000000000000000000000000
χ4744-444-4-4-4-4404000-4000000−22−22222200000000000022−220000000000000000000000000
χ4844-4-4-4-4440040-4-440000000000000004i−4i000000000000000000000000000000000
χ4944-4-4-4-4440040-4-44000000000000000−4i4i000000000000000000000000000000000
χ5044-4-4-4-44400-4044-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5144-4-4-4-44400-4044-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ524-444-4-44-400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ534-444-4-44-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ544-444-4-44-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ554-444-4-44-40000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ564-44-44-4-44444-4-44-4-44-400000000000000000000000000000000000000000000000
χ574-44-44-4-44-4-444-44-44-4400000000000000000000000000000000000000000000000
χ584-44-44-4-44-4-4-444-4444-400000000000000000000000000000000000000000000000
χ594-4-44-44-4400-40-44400022−2222−220000000000000000000000−22220000000000000000000
χ604-4-44-44-4400-40-444000−2222−2222000000000000000000000022−220000000000000000000
χ614-4-4-4444-44-404000-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ624-4-4-4444-44-404000-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ634-4-4-4444-4-440-4000400000000004-40000000000000000000000000000000000000
χ644-4-4-4444-4-440-400040000000000-440000000000000000000000000000000000000
χ65888-8-88-8-8000000000000000000000000000000000000000000000000000000000

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