Finite Group Databasebeta

← Group #281099

Character table — Group #281099

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11111-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-11-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-11111-11-1-11-1-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-111-1-1-11
χ17222222222-222-2-2-22-22222-2000000-2-2000022-2-20000000020000-20000000000
χ18222222222-222-2-2-22-22222-2000000-2-20000-2-22200000000-2000020000000000
χ19222222222-222-2-2-22-2-2-2-2-2-200000022000022-2-200000000-2000020000000000
χ20222222222-222-2-2-22-2-2-2-2-2-2000000220000-2-2220000000020000-20000000000
χ2122222222-22-2-2222-2-20000-22222220022-2-20000000000000-200-200000000000
χ2222222222-22-2-2222-2-20000-22222-2-200-2-2-2-20000000000000200200000000000
χ2322222222-22-2-2222-2-20000-2-2-2-2-22200-2-2220000000000000-200200000000000
χ2422222222-22-2-2222-2-20000-2-2-2-2-2-2-20022220000000000000200-200000000000
χ252-222-2-22-222-2-2-22-22-22i2i−2i−2i20000002i−2i00000000000022-2-2000000002i−2i000000
χ262-222-2-22-222-2-2-22-22-22i2i−2i−2i20000002i−2i000000000000-2-22200000000−2i2i000000
χ272-222-2-22-222-2-2-22-22-2−2i−2i2i2i2000000−2i2i00000000000022-2-200000000−2i2i000000
χ282-222-2-22-222-2-2-22-22-2−2i−2i2i2i2000000−2i2i000000000000-2-222000000002i−2i000000
χ292-222-2-22-22-2-2-22-22222i2i−2i−2i-222-2-200−2i2i002-200002i2i−2i−2i00000000000000000000
χ302-222-2-22-22-2-2-22-22222i2i−2i−2i-2-2-22200−2i2i00-220000−2i−2i2i2i00000000000000000000
χ312-222-2-22-22-2-2-22-2222−2i−2i2i2i-222-2-2002i−2i002-20000−2i−2i2i2i00000000000000000000
χ322-222-2-22-22-2-2-22-2222−2i−2i2i2i-2-2-222002i−2i00-2200002i2i−2i−2i00000000000000000000
χ332-222-2-22-2-2-2222-22-2-20000222-2-2000000-22000000000000002i−2i002i−2i00000000
χ342-222-2-22-2-2-2222-22-2-20000222-2-2000000-2200000000000000−2i2i00−2i2i00000000
χ352-222-2-22-2-2-2222-22-2-200002-2-2220000002-2000000000000002i−2i00−2i2i00000000
χ362-222-2-22-2-2-2222-22-2-200002-2-2220000002-200000000000000−2i2i002i−2i00000000
χ372-2-2-2222-20-20022-200000002i−2i2i−2i2-2002i−2i00i2−i2i2−i200002−22−20000000000i2−i22−200
χ382-2-2-2222-20-20022-200000002i−2i2i−2i2-2002i−2i00−i2i2−i2i20000−22−220000000000−i2i2−2200
χ392-2-2-2222-20-20022-200000002i−2i2i−2i-2200−2i2i00i2−i2i2−i200002−22−20000000000−i2i2−2200
χ402-2-2-2222-20-20022-200000002i−2i2i−2i-2200−2i2i00−i2i2−i2i20000−22−220000000000i2−i22−200
χ412-2-2-2222-20-20022-20000000−2i2i−2i2i2-200−2i2i00i2−i2i2−i20000−22−220000000000i2−i2−2200
χ422-2-2-2222-20-20022-20000000−2i2i−2i2i2-200−2i2i00−i2i2−i2i200002−22−20000000000−i2i22−200
χ432-2-2-2222-20-20022-20000000−2i2i−2i2i-22002i−2i00i2−i2i2−i20000−22−220000000000−i2i22−200
χ442-2-2-2222-20-20022-20000000−2i2i−2i2i-22002i−2i00−i2i2−i2i200002−22−20000000000i2−i2−2200
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-44-4-4-4404-4000-4000000000000000000000022−2222−2200000000000000000000
χ47444-44-4-4-4404-4000-40000000000000000000000−2222−222200000000000000000000
χ48444-44-4-4-4-40-44000404i−4i4i−4i00000000000000000000000000000000000000000
χ49444-44-4-4-4-40-4400040−4i4i−4i4i00000000000000000000000000000000000000000
χ5044-4-4-4-44404004-4-400000004i−4i−4i4i000000000000000000000000000000000000
χ5144-4-4-4-44404004-4-40000000−4i4i4i−4i000000000000000000000000000000000000
χ5244-4-4-4-4440-400-44400000000000000000000000000022−22−22220000000000000000
χ5344-4-4-4-4440-400-444000000000000000000000000000−222222−220000000000000000
χ544-444-4-44-4-4444-44-4-440000-40000000000000000000000000000000000000000
χ554-44-4-44-4440-44000-400000000000000000000002i2−2i2−2i22i200000000000000000000
χ564-44-4-44-4440-44000-40000000000000000000000−2i22i22i2−2i200000000000000000000
χ574-44-4-44-44-404-4000404-4-4400000000000000000000000000000000000000000
χ584-44-4-44-44-404-400040-444-400000000000000000000000000000000000000000
χ594-4-4-4444-40400-4-4400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ604-4-4-4444-40400-4-440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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