Finite Group Databasebeta

← Group #277387

Character table — Group #277387

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888884444444488888822
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-11-1
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11-1-1-1-1-1111111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-111-1-111-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-1-111-1-111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-111111-1-1-1-111-1-1-11
χ172222222222-2-22-2-22-22222-20000-2-2000022000000-2-20000002-2000000000000
χ182222222222-2-22-2-22-22222-20000-2-20000-2-200000022000000-22000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-2000022000022000000-2-2000000-22000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000220000-2-2000000220000002-2000000000000
χ2122222222-2-222-222-2-20000-2222200222200-2-20000000000-2-200000000000000
χ2222222222-2-222-222-2-20000-2222200-2-2-2-200-2-200000000002200000000000000
χ2322222222-2-222-222-2-20000-2-2-2-2-20022-2-200220000000000-2200000000000000
χ2422222222-2-222-222-2-20000-2-2-2-2-200-2-222002200000000002-200000000000000
χ252222-2-2-2-2002-202-2000000022-2-2002i−2i2i−2ii2−i2000000i2−i2i2i2−i2−i200000000002−22−200
χ262222-2-2-2-2002-202-2000000022-2-2002i−2i2i−2i−i2i2000000−i2i2−i2−i2i2i20000000000−22−2200
χ272222-2-2-2-2002-202-2000000022-2-200−2i2i−2i2ii2−i2000000i2−i2i2i2−i2−i20000000000−22−2200
χ282222-2-2-2-2002-202-2000000022-2-200−2i2i−2i2i−i2i2000000−i2i2−i2−i2i2i200000000002−22−200
χ292222-2-2-2-2002-202-20000000-2-222002i−2i−2i2ii2−i2000000i2−i2−i2−i2i2i200000000002−2−2200
χ302222-2-2-2-2002-202-20000000-2-222002i−2i−2i2i−i2i2000000−i2i2i2i2−i2−i20000000000−222−200
χ312222-2-2-2-2002-202-20000000-2-22200−2i2i2i−2ii2−i2000000i2−i2−i2−i2i2i20000000000−222−200
χ322222-2-2-2-2002-202-20000000-2-22200−2i2i2i−2i−i2i2000000−i2i2i2i2−i2−i200000000002−2−2200
χ332-2-2222-2-222-2-2-222-220000-22-22-2000000002-2000000000000002i−2i2i−2i00000000
χ342-2-2222-2-222-2-2-222-220000-22-22-2000000002-200000000000000−2i2i−2i2i00000000
χ352-2-2222-2-222-2-2-222-220000-2-22-2200000000-22000000000000002i−2i−2i2i00000000
χ362-2-2222-2-222-2-2-222-220000-2-22-2200000000-2200000000000000−2i2i2i−2i00000000
χ372-2-2222-2-2-2-2222-2-22222-2-2-200002-2000000000000002i−2i2i−2i000000002i−2i000000
χ382-2-2222-2-2-2-2222-2-22222-2-2-200002-200000000000000−2i2i−2i2i00000000−2i2i000000
χ392-2-2222-2-2-2-2222-2-222-2-222-20000-22000000000000002i−2i2i−2i00000000−2i2i000000
χ402-2-2222-2-2-2-2222-2-222-2-222-20000-2200000000000000−2i2i−2i2i000000002i−2i000000
χ412-2-2222-2-2-2-2-2-22222-222-2-222-22-2-22000000-2222-2-20000000000000000000000
χ422-2-2222-2-2-2-2-2-22222-222-2-22-22-22-220000002-2-2-2220000000000000000000000
χ432-2-2222-2-2-2-2-2-22222-2-2-22222-22-22-2000000-22-2-2220000000000000000000000
χ442-2-2222-2-2-2-2-2-22222-2-2-2222-22-222-20000002-222-2-20000000000000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ464444-4-4-4-400-440-44000000000000000002i2−2i2000000−2i22i200000000000000000000
χ474444-4-4-4-400-440-4400000000000000000−2i22i20000002i2−2i200000000000000000000
χ4844-4-44-44-44-400400-404i−4i4i−4i00000000000000000000000000000000000000000
χ4944-4-44-44-44-400400-40−4i4i−4i4i00000000000000000000000000000000000000000
χ5044-4-44-44-4-4400-40040000000000000000000022−2222−220000000000000000000000
χ5144-4-44-44-4-4400-400400000000000000000000−2222−22220000000000000000000000
χ524-44-44-4-444-400-40040000000000000000000022−22−22220000000000000000000000
χ534-44-44-4-444-400-400400000000000000000000−222222−220000000000000000000000
χ544-44-44-4-44-4400400-404i−4i−4i4i00000000000000000000000000000000000000000
χ554-44-44-4-44-4400400-40−4i4i4i−4i00000000000000000000000000000000000000000
χ564-4-4444-4-44444-4-4-4-4-4000040000000000000000000000000000000000000000
χ574-4-44-4-444004-40-4400000000000000000000000000022−22−22220000000000000000
χ584-4-44-4-444004-40-44000000000000000000000000000−222222−220000000000000000
χ594-4-44-4-44400-4404-400000004-4-44000000000000000000000000000000000000
χ604-4-44-4-44400-4404-40000000-444-4000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-8-888-8000000000000000000000000000000000000000000000000000000

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