Finite Group Databasebeta

← Group #288127

Character table — Group #288127

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888822
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-111-1-111-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1-1-11
χ17222222222-2-22-222-20000-2-22222222200000000-2-2000000-2-200000000000000
χ18222222222-2-22-222-20000-2-22222-2-2-2-200000000-2-20000002200000000000000
χ19222222222-2-22-222-20000-2-2-2-2-2-222-2-20000000022000000-2200000000000000
χ20222222222-2-22-222-20000-2-2-2-2-2-2-2-22200000000220000002-200000000000000
χ2122222222-222-22-2-222222-2-200000000-2-222000000-2-200000000002-200000000
χ2222222222-222-22-2-222222-2-200000000-2-2-2-2000000220000000000-2200000000
χ2322222222-222-22-2-22-2-2-2-2-2-2000000002222000000-2-20000000000-2200000000
χ2422222222-222-22-2-22-2-2-2-2-2-20000000022-2-20000002200000000002-200000000
χ2522-2-222-2-2-200202-2000000022-2-22i−2i2i−2i00i2−i2000000i2−i2i2i2−i2−i200000000002−22−200
χ2622-2-222-2-2-200202-2000000022-2-22i−2i2i−2i00−i2i2000000−i2i2−i2−i2i2i20000000000−22−2200
χ2722-2-222-2-2-200202-2000000022-2-2−2i2i−2i2i00i2−i2000000i2−i2i2i2−i2−i20000000000−22−2200
χ2822-2-222-2-2-200202-2000000022-2-2−2i2i−2i2i00−i2i2000000−i2i2−i2−i2i2i200000000002−22−200
χ2922-2-222-2-2-200202-20000000-2-2222i−2i−2i2i00i2−i2000000i2−i2−i2−i2i2i200000000002−2−2200
χ3022-2-222-2-2-200202-20000000-2-2222i−2i−2i2i00−i2i2000000−i2i2i2i2−i2−i20000000000−222−200
χ3122-2-222-2-2-200202-20000000-2-222−2i2i2i−2i00i2−i2000000i2−i2−i2−i2i2i20000000000−222−200
χ3222-2-222-2-2-200202-20000000-2-222−2i2i2i−2i00−i2i2000000−i2i2i2i2−i2−i200000000002−2−2200
χ3322-2-2-2-222222-2-22-2-22i2i−2i−2i-22000000002i−2i00000000002-22-2000000002i−2i000000
χ3422-2-2-2-222222-2-22-2-22i2i−2i−2i-22000000002i−2i0000000000-22-2200000000−2i2i000000
χ3522-2-2-2-222222-2-22-2-2−2i−2i2i2i-2200000000−2i2i00000000002-22-200000000−2i2i000000
χ3622-2-2-2-222222-2-22-2-2−2i−2i2i2i-2200000000−2i2i0000000000-22-22000000002i−2i000000
χ3722-2-2-2-222-2222-2-22-22i2i−2i−2i2-22-22-20000−2i2i002i2i−2i−2i2-20000000000000000000000
χ3822-2-2-2-222-2222-2-22-22i2i−2i−2i2-2-22-220000−2i2i00−2i−2i2i2i-220000000000000000000000
χ3922-2-2-2-222-2222-2-22-2−2i−2i2i2i2-22-22-200002i−2i00−2i−2i2i2i2-20000000000000000000000
χ4022-2-2-2-222-2222-2-22-2−2i−2i2i2i2-2-22-2200002i−2i002i2i−2i−2i-220000000000000000000000
χ4122-2-2-2-222-2-2-222-2220000-222-22-2000000000000-22000000002-22-20000000000
χ4222-2-2-2-222-2-2-222-2220000-222-22-2000000000000-2200000000-22-220000000000
χ4322-2-2-2-222-2-2-222-2220000-22-22-220000000000002-2000000002-2-220000000000
χ4422-2-2-2-222-2-2-222-2220000-22-22-220000000000002-200000000-222-20000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ464444-4-4-4-440040-4-400000004-4-44000000000000000000000000000000000000
χ474444-4-4-4-440040-4-40000000-444-4000000000000000000000000000000000000
χ484444-4-4-4-4-400-40440000000000000000000000000002i2−2i2−2i22i20000000000000000
χ494444-4-4-4-4-400-4044000000000000000000000000000−2i22i22i2−2i20000000000000000
χ5044-4-444-4-4400-40-44000000000000000002i2−2i2000000−2i22i200000000000000000000
χ5144-4-444-4-4400-40-4400000000000000000−2i22i20000002i2−2i200000000000000000000
χ5244-4-4-4-4444-4-4-444-4400004-40000000000000000000000000000000000000000
χ534-44-44-44-404-40400-40000000000000000002i2−2i22i2−2i2000000000000000000000000
χ544-44-44-44-404-40400-4000000000000000000−2i22i2−2i22i2000000000000000000000000
χ554-44-44-44-40-440-40044-44-4000000000000000000000000000000000000000000
χ564-44-44-44-40-440-4004-44-44000000000000000000000000000000000000000000
χ574-4-44-444-404-40-400400000000000000000022−22−2222000000000000000000000000
χ584-4-44-444-404-40-4004000000000000000000−222222−22000000000000000000000000
χ594-4-44-444-40-440400-44i−4i−4i4i000000000000000000000000000000000000000000
χ604-4-44-444-40-440400-4−4i4i4i−4i000000000000000000000000000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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