Finite Group Databasebeta

← Group #277381

Character table — Group #277381

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-1111-1-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-111-11111-1-11-1
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-111
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
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11-1-1-1-111-11111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-11-1-1111-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-111-1-1-111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-11111-1-11-1-111-1-1-11
χ172222222222-2-2-222-2-20000-2222200222200-2-20000000000-2-200000000000000
χ182222222222-2-2-222-2-20000-2222200-2-2-2-200-2-200000000002200000000000000
χ192222222222-2-2-222-2-20000-2-2-2-2-20022-2-200220000000000-2200000000000000
χ202222222222-2-2-222-2-20000-2-2-2-2-200-2-222002200000000002-200000000000000
χ2122222222-2-2222-2-22-22222-20000-2-2000022000000-2-200000020000-200000000
χ2222222222-2-2222-2-22-22222-20000-2-20000-2-200000022000000-20000200000000
χ2322222222-2-2222-2-22-2-2-2-2-2-2000022000022000000-2-2000000-20000200000000
χ2422222222-2-2222-2-22-2-2-2-2-2-20000220000-2-20000002200000020000-200000000
χ252-2-222-2-2222-2-22-2-22222-2-2-200002-2000000000000002i2i−2i−2i000000002i−2i000000
χ262-2-222-2-2222-2-22-2-22222-2-2-200002-200000000000000−2i−2i2i2i00000000−2i2i000000
χ272-2-222-2-2222-2-22-2-222-2-222-20000-22000000000000002i2i−2i−2i00000000−2i2i000000
χ282-2-222-2-2222-2-22-2-222-2-222-20000-2200000000000000−2i−2i2i2i000000002i−2i000000
χ292-2-222-2-22-2-222-222-220000-222-2-2000000002-200000000000002i−2i2i−2i000000000
χ302-2-222-2-22-2-222-222-220000-222-2-2000000002-20000000000000−2i2i−2i2i000000000
χ312-2-222-2-22-2-222-222-220000-2-2-22200000000-2200000000000002i−2i−2i2i000000000
χ322-2-222-2-22-2-222-222-220000-2-2-22200000000-220000000000000−2i2i2i−2i000000000
χ332-2-222-2-22-2-2-2-22222-222-2-2222-2-2-22000000-2222-2-20000000000000000000000
χ342-2-222-2-22-2-2-2-22222-222-2-22-2-222-220000002-2-2-2220000000000000000000000
χ352-2-222-2-22-2-2-2-22222-2-2-222222-2-22-2000000-22-2-2220000000000000000000000
χ362-2-222-2-22-2-2-2-22222-2-2-2222-2-2222-20000002-222-2-20000000000000000000000
χ372-2-22-222-22-20002-200000002-22-2002-22-2i2−i2000000i2−i2i2−i2i2−i20000000000i2−i2i2−i200
χ382-2-22-222-22-20002-200000002-22-2002-22-2−i2i2000000−i2i2−i2i2−i2i20000000000−i2i2−i2i200
χ392-2-22-222-22-20002-200000002-22-200-22-22i2−i2000000i2−i2i2−i2i2−i20000000000−i2i2−i2i200
χ402-2-22-222-22-20002-200000002-22-200-22-22−i2i2000000−i2i2−i2i2−i2i20000000000i2−i2i2−i200
χ412-2-22-222-22-20002-20000000-22-22002-2-22i2−i2000000i2−i2−i2i2−i2i20000000000i2−i2−i2i200
χ422-2-22-222-22-20002-20000000-22-22002-2-22−i2i2000000−i2i2i2−i2i2−i20000000000−i2i2i2−i200
χ432-2-22-222-22-20002-20000000-22-2200-222-2i2−i2000000i2−i2−i2i2−i2i20000000000−i2i2i2−i200
χ442-2-22-222-22-20002-20000000-22-2200-222-2−i2i2000000−i2i2i2−i2i2−i20000000000i2−i2−i2i200
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ464444-4-4-4-44-4000-4400000000000000000000000000022−22−22220000000000000000
χ474444-4-4-4-44-4000-44000000000000000000000000000−222222−220000000000000000
χ484444-4-4-4-4-440004-400000004-4-44000000000000000000000000000000000000
χ494444-4-4-4-4-440004-40000000-444-4000000000000000000000000000000000000
χ5044-4-4-44-44004-4400-404i−4i4i−4i00000000000000000000000000000000000000000
χ5144-4-4-44-44004-4400-40−4i4i−4i4i00000000000000000000000000000000000000000
χ5244-4-4-44-4400-44-40040000000000000000000022−2222−220000000000000000000000
χ5344-4-4-44-4400-44-400400000000000000000000−2222−22220000000000000000000000
χ544-44-4-4-444004-4-40040000000000000000000022−22−22220000000000000000000000
χ554-44-4-4-444004-4-400400000000000000000000−222222−220000000000000000000000
χ564-44-4-4-44400-44400-404i−4i−4i4i00000000000000000000000000000000000000000
χ574-44-4-4-44400-44400-40−4i4i4i−4i00000000000000000000000000000000000000000
χ584-4-444-4-444444-4-4-4-4-4000040000000000000000000000000000000000000000
χ594-4-44-444-4-44000-44000000000000000002i2−2i2000000−2i22i200000000000000000000
χ604-4-44-444-4-44000-4400000000000000000−2i22i20000002i2−2i200000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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