Finite Group Databasebeta

← Group #277372

Character table — Group #277372

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-11-1
χ911111111111111111-1-1-1-111111-1-1111111-1-1-1-111111111-1-11-1-11-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-111-111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-1111111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1111-1-111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1111-1-1-1-111-1-1-11
χ172222222222-2-222-2-2-22222-20000-2-2000000000022-2-200002-200000000000000
χ182222222222-2-222-2-2-22222-20000-2-20000000000-2-2220000-2200000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-2000022000000000022-2-20000-2200000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-20000220000000000-2-22200002-200000000000000
χ2122222222-2-222-2-222-20000-22222002222-2-200000000000000-200-20000000000
χ2222222222-2-222-2-222-20000-2222200-2-2-2-2-2-20000000000000020020000000000
χ2322222222-2-222-2-222-20000-2-2-2-2-20022-2-22200000000000000-20020000000000
χ2422222222-2-222-2-222-20000-2-2-2-2-200-2-2222200000000000000200-20000000000
χ2522-2-2-222-2002-2002-200000022-2-2002-22-2000000i2−i2i2−i2i2i2−i2−i20000000000i2−i2i2−i200
χ2622-2-2-222-2002-2002-200000022-2-2002-22-2000000−i2i2−i2i2−i2−i2i2i20000000000−i2i2−i2i200
χ2722-2-2-222-2002-2002-200000022-2-200-22-22000000i2−i2i2−i2i2i2−i2−i20000000000−i2i2−i2i200
χ2822-2-2-222-2002-2002-200000022-2-200-22-22000000−i2i2−i2i2−i2−i2i2i20000000000i2−i2i2−i200
χ2922-2-2-222-2002-2002-2000000-2-222002-2-22000000i2−i2i2−i2−i2−i2i2i20000000000i2−i2−i2i200
χ3022-2-2-222-2002-2002-2000000-2-222002-2-22000000−i2i2−i2i2i2i2−i2−i20000000000−i2i2i2−i200
χ3122-2-2-222-2002-2002-2000000-2-22200-222-2000000i2−i2i2−i2−i2−i2i2i20000000000−i2i2i2−i200
χ3222-2-2-222-2002-2002-2000000-2-22200-222-2000000−i2i2−i2i2i2i2−i2−i20000000000i2−i2−i2i200
χ332-2-222-22-222-2-2-2-22220000-22-22-20000002-20000000000000002i−2i02i−2i00000000
χ342-2-222-22-222-2-2-2-22220000-22-22-20000002-2000000000000000−2i2i0−2i2i00000000
χ352-2-222-22-222-2-2-2-22220000-2-22-22000000-220000000000000002i−2i0−2i2i00000000
χ362-2-222-22-222-2-2-2-22220000-2-22-22000000-22000000000000000−2i2i02i−2i00000000
χ372-2-222-22-2-2-22222-2-2222-2-2-200002-2000000000000002i−2i2i−2i000000002i−2i000000
χ382-2-222-22-2-2-22222-2-2222-2-2-200002-200000000000000−2i2i−2i2i00000000−2i2i000000
χ392-2-222-22-2-2-22222-2-22-2-222-20000-22000000000000002i−2i2i−2i00000000−2i2i000000
χ402-2-222-22-2-2-22222-2-22-2-222-20000-2200000000000000−2i2i−2i2i000000002i−2i000000
χ412-2-222-22-2-2-2-2-22222-222-2-222-22-2-220000-2222-2-2000000000000000000000000
χ422-2-222-22-2-2-2-2-22222-222-2-22-22-22-2200002-2-2-222000000000000000000000000
χ432-2-222-22-2-2-2-2-22222-2-2-22222-22-22-20000-22-2-222000000000000000000000000
χ442-2-222-22-2-2-2-2-22222-2-2-2222-22-222-200002-222-2-2000000000000000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ464444-4-4-4-44-4004-40000000000000000000022−2222−22000000000000000000000000
χ474444-4-4-4-44-4004-400000000000000000000−2222−2222000000000000000000000000
χ484444-4-4-4-4-4400-440004-44-400000000000000000000000000000000000000000
χ494444-4-4-4-4-4400-44000-44-4400000000000000000000000000000000000000000
χ5044-4-4-444-400-4400-4400000000000000000000002i2−2i2−2i22i200000000000000000000
χ5144-4-4-444-400-4400-440000000000000000000000−2i22i22i2−2i200000000000000000000
χ524-44-4-4-444004-400-440000000000000000000000000022−22−22220000000000000000
χ534-44-4-4-444004-400-4400000000000000000000000000−222222−220000000000000000
χ544-44-4-4-44400-44004-40000004-4-44000000000000000000000000000000000000
χ554-44-4-4-44400-44004-4000000-444-4000000000000000000000000000000000000
χ564-4-444-44-44444-4-4-4-4-4000040000000000000000000000000000000000000000
χ574-4-44-44-444-400-440004-4-4400000000000000000000000000000000000000000
χ584-4-44-44-444-400-44000-444-400000000000000000000000000000000000000000
χ594-4-44-44-44-44004-40000000000000000000022−22−2222000000000000000000000000
χ604-4-44-44-44-44004-400000000000000000000−222222−22000000000000000000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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