Finite Group Databasebeta

← Group #264390

Character table — Group #264390

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488884444444444448888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-11
χ11111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111111-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-111-11
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-11-1-11111-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-1-11111-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111-1-1-1-111111-1
χ17222222222-2-222-22-2-2-2000022-2-222-2-2000022-2-2000000000000000000000000
χ18222222222-2-222-22-2-2-2000022-2-2-2-2220000-2-222000000000000000000000000
χ19222222222-2-222-22-2-2-20000-2-22222-2-20000-2-222000000000000000000000000
χ20222222222-2-222-22-2-2-20000-2-222-2-222000022-2-2000000000000000000000000
χ2122222222-222-2-22-22-2-222220000000022220000-2-200000000-2-2000000000000
χ2222222222-222-2-22-22-2-2222200000000-2-2-2-20000-2-20000000022000000000000
χ2322222222-222-2-22-22-2-2-2-2-2-20000000022-2-200002200000000-22000000000000
χ2422222222-222-2-22-22-2-2-2-2-2-200000000-2-222000022000000002-2000000000000
χ252-2-222-2-2202-20020-20022-2-2000000002i−2i2i−2i2−22−200000022−2−2000000i2−i2i2−i20000
χ262-2-222-2-2202-20020-20022-2-2000000002i−2i2i−2i−22−22000000−2−222000000−i2i2−i2i20000
χ272-2-222-2-2202-20020-20022-2-200000000−2i2i−2i2i2−22−200000022−2−2000000−i2i2−i2i20000
χ282-2-222-2-2202-20020-20022-2-200000000−2i2i−2i2i−22−22000000−2−222000000i2−i2i2−i20000
χ292-2-222-2-2202-20020-200-2-222000000002i−2i−2i2i2−22−2000000−2−222000000i2−i2−i2i20000
χ302-2-222-2-2202-20020-200-2-222000000002i−2i−2i2i−22−2200000022−2−2000000−i2i2i2−i20000
χ312-2-222-2-2202-20020-200-2-22200000000−2i2i2i−2i2−22−2000000−2−222000000−i2i2i2−i20000
χ322-2-222-2-2202-20020-200-2-22200000000−2i2i2i−2i−22−2200000022−2−2000000i2−i2−i2i20000
χ332-2-2-2-22222-2-2-2-22222-22-22-200000000000000002-200000000002-22-200000000
χ342-2-2-2-22222-2-2-2-22222-22-22-200000000000000002-20000000000-22-2200000000
χ352-2-2-2-22222-2-2-2-22222-2-22-220000000000000000-2200000000002-2-2200000000
χ362-2-2-2-22222-2-2-2-22222-2-22-220000000000000000-220000000000-222-200000000
χ372-2-2-2-2222-22222-2-2-22-2000000002-22-200000000002i2i−2i−2i2i−2i2i−2i00000000000000
χ382-2-2-2-2222-22222-2-2-22-2000000002-22-20000000000−2i−2i2i2i−2i2i−2i2i00000000000000
χ392-2-2-2-2222-22222-2-2-22-200000000-22-2200000000002i2i−2i−2i−2i2i−2i2i00000000000000
χ402-2-2-2-2222-22222-2-2-22-200000000-22-220000000000−2i−2i2i2i2i−2i2i−2i00000000000000
χ412-2-2-2-2222-2-2-2222-22-222-22-200002-2-2200000000-220000000000000000002-200
χ422-2-2-2-2222-2-2-2222-22-222-22-20000-222-200000000-22000000000000000000-2200
χ432-2-2-2-2222-2-2-2222-22-22-22-2200002-2-22000000002-2000000000000000000-2200
χ442-2-2-2-2222-2-2-2222-22-22-22-220000-222-2000000002-20000000000000000002-200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ46444-4-4-4-4404-400-40400000000000000000000000000002i2−2i2−2i22i200000000000000
χ47444-4-4-4-4404-400-4040000000000000000000000000000−2i22i22i2−2i200000000000000
χ48444-4-4-4-440-440040-4004-4-440000000000000000000000000000000000000000
χ49444-4-4-4-440-440040-400-444-40000000000000000000000000000000000000000
χ5044-44-44-4-44004-40-4000000000000000000000000022−2222−22000000000000000000
χ5144-44-44-4-44004-40-40000000000000000000000000−2222−2222000000000000000000
χ5244-44-44-4-4-400-44040000000004i−4i000000000000000000000000000000000000
χ5344-44-44-4-4-400-4404000000000−4i4i000000000000000000000000000000000000
χ544-44-444-4-4400-440-400000004-400000000000000000000000000000000000000
χ554-44-444-4-4400-440-40000000-4400000000000000000000000000000000000000
χ564-44-444-4-4-4004-40400000000000000000000000002i2−2i2−2i22i2000000000000000000
χ574-44-444-4-4-4004-4040000000000000000000000000−2i22i22i2−2i2000000000000000000
χ584-4-444-4-440-4400-40400000000000000000022−22−2222000000000000000000000000
χ594-4-444-4-440-4400-404000000000000000000−222222−22000000000000000000000000
χ604-4-4-4-4444444-4-4-44-4-4400000000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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