Finite Group Databasebeta

← Group #269871

Character table — Group #269871

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888222244444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-11111-1-1-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11
χ1011111111111111111-1-1-1-111111-1-1111111-1-11111-1-1-1-1111111-11-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111111-11111-1-1-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1-1111111-1-111-1
χ172222222222-22-2-2-22-22222-20000-2-20000002200-2-20000220000-200000000000000
χ182222222222-22-2-2-22-22222-20000-2-2000000-2-200220000-2-20000200000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000220000002200220000-2-20000-200000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2000022000000-2-200-2-20000220000200000000000000
χ2122222222-2-22-2222-2-20000-22222002222-2-200-2-20000000000000-20000000000000
χ2222222222-2-22-2222-2-20000-2222200-2-2-2-22200-2-2000000000000020000000000000
χ2322222222-2-22-2222-2-20000-2-2-2-2-20022-2-2-2-20022000000000000020000000000000
χ2422222222-2-22-2222-2-20000-2-2-2-2-200-2-2222200220000000000000-20000000000000
χ252-2222-2-2-22-20-2000202i2i−2i−2i022−2−2000000002i−2i2−200i2i2−i2−i22-222−2−200000000i2−i200000
χ262-2222-2-2-22-20-2000202i2i−2i−2i022−2−200000000−2i2i2−200i2i2−i2−i2-22−2−22200000000−i2i200000
χ272-2222-2-2-22-20-2000202i2i−2i−2i0−2−222000000002i−2i−2200−i2−i2i2i22-2−2−22200000000−i2i200000
χ282-2222-2-2-22-20-2000202i2i−2i−2i0−2−22200000000−2i2i−2200−i2−i2i2i2-2222−2−200000000i2−i200000
χ292-2222-2-2-22-20-200020−2i−2i2i2i022−2−2000000002i−2i2−200−i2−i2i2i2-22−2−22200000000i2−i200000
χ302-2222-2-2-22-20-200020−2i−2i2i2i022−2−200000000−2i2i2−200−i2−i2i2i22-222−2−200000000−i2i200000
χ312-2222-2-2-22-20-200020−2i−2i2i2i0−2−222000000002i−2i−2200i2i2−i2−i2-2222−2−200000000−i2i200000
χ322-2222-2-2-22-20-200020−2i−2i2i2i0−2−22200000000−2i2i−2200i2i2−i2−i22-2−2−22200000000i2−i200000
χ332-2-2-22-222222-2-22-2-220000-20000002-2002-20000002i−2i2i−2i000000002i−2i00000000000
χ342-2-2-22-222222-2-22-2-220000-20000002-2002-2000000−2i2i−2i2i00000000−2i2i00000000000
χ352-2-2-22-222222-2-22-2-220000-2000000-2200-220000002i−2i2i−2i00000000−2i2i00000000000
χ362-2-2-22-222222-2-22-2-220000-2000000-2200-22000000−2i2i−2i2i000000002i−2i00000000000
χ372-2-2-22-222-2-222-22-22-22-22-2200002-22-200-2200000000000000000000002-20000000
χ382-2-2-22-222-2-222-22-22-22-22-2200002-2-22002-20000000000000000000000-220000000
χ392-2-2-22-222-2-222-22-22-2-22-2220000-222-200-220000000000000000000000-220000000
χ402-2-2-22-222-2-222-22-22-2-22-2220000-22-22002-200000000000000000000002-20000000
χ412-2-2-22-222-2-2-222-22222-22-2-20000-22000000000000000000000000002-200002-2000
χ422-2-2-22-222-2-2-222-22222-22-2-20000-2200000000000000000000000000-220000-22000
χ432-2-2-22-222-2-2-222-2222-22-22-200002-2000000000000000000000000002-20000-22000
χ442-2-2-22-222-2-2-222-2222-22-22-200002-200000000000000000000000000-2200002-2000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-4400404-4-400000004i−4i4i−4i000000000000000000000000000000000000000
χ47444-4-4-4-4400404-4-40000000−4i4i−4i4i000000000000000000000000000000000000000
χ48444-4-4-4-4400-40-444000000000000000000000000000000022−2222−22000000000000000
χ49444-4-4-4-4400-40-4440000000000000000000000000000000−2222−2222000000000000000
χ5044-4-444-4-44-404000-400000000000000000000000022−22−2222000000000000000000000
χ5144-4-444-4-44-404000-4000000000000000000000000−222222−22000000000000000000000
χ5244-4-444-4-4-440-4000404i−4i−4i4i00000000000000000000000000000000000000000000
χ5344-4-444-4-4-440-400040−4i4i4i−4i00000000000000000000000000000000000000000000
χ544-4444-4-4-4-4404000-40000002222−22−220000000000−2222000000000000000000000000000
χ554-4444-4-4-4-4404000-4000000−22−222222000000000022−22000000000000000000000000000
χ564-44-4-444-4000000000000002i2−2i2−2i22i20000000000002i2−2i20000002-2-22000000000000000
χ574-44-4-444-4000000000000002i2−2i2−2i22i2000000000000−2i22i2000000-222-2000000000000000
χ584-44-4-444-400000000000000−2i22i22i2−2i20000000000002i2−2i2000000-222-2000000000000000
χ594-44-4-444-400000000000000−2i22i22i2−2i2000000000000−2i22i20000002-2-22000000000000000
χ604-4-44-44-440040-4-440000000000000004-4000000000000000000000000000000000
χ614-4-44-44-440040-4-44000000000000000-44000000000000000000000000000000000
χ624-4-44-44-4400-4044-40000000000000000000000000000000000000000000000022−220
χ634-4-44-44-4400-4044-400000000000000000000000000000000000000000000000−22220
χ644-4-4-44-44444-4-44-44-4-4000040000000000000000000000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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