Finite Group Databasebeta

← Group #288141

Character table — Group #288141

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882224444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-111-11-1111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-1-11-11-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-11111-1-11-1
χ91111111111111111-1-1-1-111111111-1-1111111-1-1-1-1111111-1-1-11-11-1-1-1-11111-1-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-11-111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111-111-1-1-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1111-111-1-111-1-1-11
χ17222222222-2-22-222-20000-2-22222220022-2-2000000000000000-20-20000000000
χ18222222222-2-22-222-20000-2-22222-2-200-2-2-2-20000000000000002020000000000
χ19222222222-2-22-222-20000-2-2-2-2-2-22200-2-22200000000000000020-20000000000
χ20222222222-2-22-222-20000-2-2-2-2-2-2-2-2002222000000000000000-2020000000000
χ2122222222-222-22-2-222222-2-2000000-2-20000220000-2-2000000-20200000000000
χ2222222222-222-22-2-222222-2-2000000-2-20000-2-200002200000020-200000000000
χ2322222222-222-22-2-22-2-2-2-2-2-2000000220000220000-2-200000020-200000000000
χ2422222222-222-22-2-22-2-2-2-2-2-2000000220000-2-2000022000000-20200000000000
χ252222-2-2-2-2-200202-200000002i2i−2i−2i2-2002i−2i00i2−i20000i2−i222−2−20000000000i2−i22−200
χ262222-2-2-2-2-200202-200000002i2i−2i−2i2-2002i−2i00−i2i20000−i2i2−2−2220000000000−i2i2−2200
χ272222-2-2-2-2-200202-200000002i2i−2i−2i-2200−2i2i00i2−i20000i2−i222−2−20000000000−i2i2−2200
χ282222-2-2-2-2-200202-200000002i2i−2i−2i-2200−2i2i00−i2i20000−i2i2−2−2220000000000i2−i22−200
χ292222-2-2-2-2-200202-20000000−2i−2i2i2i2-200−2i2i00i2−i20000i2−i2−2−2220000000000i2−i2−2200
χ302222-2-2-2-2-200202-20000000−2i−2i2i2i2-200−2i2i00−i2i20000−i2i222−2−20000000000−i2i22−200
χ312222-2-2-2-2-200202-20000000−2i−2i2i2i-22002i−2i00i2−i20000i2−i2−2−2220000000000−i2i22−200
χ322222-2-2-2-2-200202-20000000−2i−2i2i2i-22002i−2i00−i2i20000−i2i222−2−20000000000i2−i2−2200
χ332-2-22-2-222222-2-22-2-22i2i−2i−2i-220000002i−2i0000000000002-22-2000000002i−2i000000
χ342-2-22-2-222222-2-22-2-22i2i−2i−2i-220000002i−2i000000000000-22-2200000000−2i2i000000
χ352-2-22-2-222222-2-22-2-2−2i−2i2i2i-22000000−2i2i0000000000002-22-200000000−2i2i000000
χ362-2-22-2-222222-2-22-2-2−2i−2i2i2i-22000000−2i2i000000000000-22-22000000002i−2i000000
χ372-2-22-2-222-2222-2-22-22i2i−2i−2i2-22-22-200−2i2i002-2002i2i−2i−2i0000000000000000000000
χ382-2-22-2-222-2222-2-22-22i2i−2i−2i2-2-22-2200−2i2i00-2200−2i−2i2i2i0000000000000000000000
χ392-2-22-2-222-2222-2-22-2−2i−2i2i2i2-22-22-2002i−2i002-200−2i−2i2i2i0000000000000000000000
χ402-2-22-2-222-2222-2-22-2−2i−2i2i2i2-2-22-22002i−2i00-22002i2i−2i−2i0000000000000000000000
χ412-2-22-2-222-2-2-222-2220000-222-22-2000000-220000000000002-200002-200000000
χ422-2-22-2-222-2-2-222-2220000-222-22-2000000-22000000000000-220000-2200000000
χ432-2-22-2-222-2-2-222-2220000-22-22-220000002-20000000000002-20000-2200000000
χ442-2-22-2-222-2-2-222-2220000-22-22-220000002-2000000000000-2200002-200000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ464444-4-4-4-4400-40-4400000000000000000002i2−2i20000−2i22i200000000000000000000
χ474444-4-4-4-4400-40-440000000000000000000−2i22i200002i2−2i200000000000000000000
χ4844-4-44-44-404-40400-4000000000000000000002i2−2i22i2−2i20000000000000000000000
χ4944-4-44-44-404-40400-400000000000000000000−2i22i2−2i22i20000000000000000000000
χ5044-4-44-44-40-440-40044-44-4000000000000000000000000000000000000000000
χ5144-4-44-44-40-440-4004-44-44000000000000000000000000000000000000000000
χ524-44-4-444-404-40-40040000000000000000000022−22−22220000000000000000000000
χ534-44-4-444-404-40-400400000000000000000000−222222−220000000000000000000000
χ544-44-4-444-40-440400-44i−4i−4i4i000000000000000000000000000000000000000000
χ554-44-4-444-40-440400-4−4i4i4i−4i000000000000000000000000000000000000000000
χ564-4-4444-4-440040-4-400000004i−4i−4i4i000000000000000000000000000000000000
χ574-4-4444-4-440040-4-40000000−4i4i4i−4i000000000000000000000000000000000000
χ584-4-4444-4-4-400-404400000000000000000000000000022−22−22220000000000000000
χ594-4-4444-4-4-400-4044000000000000000000000000000−222222−220000000000000000
χ604-4-44-4-4444-4-4-444-4400004-40000000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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