Finite Group Databasebeta

← Group #264146

Character table — Group #264146

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-11111-11
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1111-1
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-11111-1-11-1-11-1-11111-1-1-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1-11111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1111-1-1-1-111111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1111-1-111-1-1-1-1-11
χ172222222222-2-2-2-2220000-2-222222222000000-2-20000000000-200-20000000000
χ182222222222-2-2-2-2220000-2-22222-2-2-2-2000000-2-2000000000020020000000000
χ192222222222-2-2-2-2220000-2-2-2-2-2-222-2-2000000220000000000-20020000000000
χ202222222222-2-2-2-2220000-2-2-2-2-2-2-2-222000000220000000000200-20000000000
χ2122222222-2-22222-2-22222-2-200000000-2-222-2-200000000002-200000000000000
χ2222222222-2-22222-2-22222-2-200000000-2-2-2-2220000000000-2200000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2000000002222-2-20000000000-2200000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-20000000022-2-22200000000002-200000000000000
χ252-2-22-2-2222222-2-2-2-222-2-22-2000000002-200000000002i2i−2i−2i0000000000002i−2i00
χ262-2-22-2-2222222-2-2-2-222-2-22-2000000002-20000000000−2i−2i2i2i000000000000−2i2i00
χ272-2-22-2-2222222-2-2-2-2-2-2222-200000000-2200000000002i2i−2i−2i000000000000−2i2i00
χ282-2-22-2-2222222-2-2-2-2-2-2222-200000000-220000000000−2i−2i2i2i0000000000002i−2i00
χ292-2-22-2-222-2-222-2-22222-2-2-2222-2-20000-2200002-222-2-200000000000000000000
χ302-2-22-2-222-2-222-2-22222-2-2-22-2-2220000-220000-22-2-22200000000000000000000
χ312-2-22-2-222-2-222-2-222-2-222-2222-2-200002-200002-2-2-22200000000000000000000
χ322-2-22-2-222-2-222-2-222-2-222-22-2-22200002-20000-2222-2-200000000000000000000
χ332-2-22-2-222-2-2-2-2222200002-222-2-20000000000-22000000000002-202-200000000
χ342-2-22-2-222-2-2-2-2222200002-222-2-20000000000-2200000000000-220-2200000000
χ352-2-22-2-222-2-2-2-2222200002-2-2-22200000000002-2000000000002-20-2200000000
χ362-2-22-2-222-2-2-2-2222200002-2-2-22200000000002-200000000000-2202-200000000
χ372-2-2-2222-22-200002-20000002-22-22-22-200i2−i2i2−i2000000i2−i2i2−i200000000i2−i2i2−i20000
χ382-2-2-2222-22-200002-20000002-22-22-22-200−i2i2−i2i2000000−i2i2−i2i200000000−i2i2−i2i20000
χ392-2-2-2222-22-200002-20000002-22-2-22-2200i2−i2i2−i2000000i2−i2i2−i200000000−i2i2−i2i20000
χ402-2-2-2222-22-200002-20000002-22-2-22-2200−i2i2−i2i2000000−i2i2−i2i200000000i2−i2i2−i20000
χ412-2-2-2222-22-200002-2000000-22-222-2-2200i2−i2i2−i2000000−i2i2−i2i200000000i2−i2−i2i20000
χ422-2-2-2222-22-200002-2000000-22-222-2-2200−i2i2−i2i2000000i2−i2i2−i200000000−i2i2i2−i20000
χ432-2-2-2222-22-200002-2000000-22-22-222-200i2−i2i2−i2000000−i2i2−i2i200000000−i2i2i2−i20000
χ442-2-2-2222-22-200002-2000000-22-22-222-200−i2i2−i2i2000000i2−i2i2−i200000000i2−i2−i2i20000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-44-44-40000-440000000000000000000000000022−22−22220000000000000000
χ47444-4-4-44-44-40000-4400000000000000000000000000−222222−220000000000000000
χ48444-4-4-44-4-4400004-40000004-4-44000000000000000000000000000000000000
χ49444-4-4-44-4-4400004-4000000-444-4000000000000000000000000000000000000
χ5044-444-4-4-4004-44-400000000000000000000000022−2222−2200000000000000000000
χ5144-444-4-4-4004-44-4000000000000000000000000−2222−222200000000000000000000
χ5244-444-4-4-400-44-44004-44-4000000000000000000000000000000000000000000
χ5344-444-4-4-400-44-4400-44-44000000000000000000000000000000000000000000
χ544-444-44-4-4004-4-4400000000000000000000000022−22−222200000000000000000000
χ554-444-44-4-4004-4-44000000000000000000000000−222222−2200000000000000000000
χ564-444-44-4-400-444-4004-4-44000000000000000000000000000000000000000000
χ574-444-44-4-400-444-400-444-4000000000000000000000000000000000000000000
χ584-4-44-4-44444-4-444-4-40000-440000000000000000000000000000000000000000
χ594-4-4-4444-4-440000-4400000000000000002i2−2i2−2i22i200000000000000000000000000
χ604-4-4-4444-4-440000-440000000000000000−2i22i22i2−2i200000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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