Finite Group Databasebeta

← Group #278708

Character table — Group #278708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488882244488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1
χ91111111111111111-1-1-1-1-1-11111111111-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-11
χ101111111111111111-1-1-1-1-1-11111111111-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11
χ131111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1
χ141111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-1-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-111-1-1-1-11-1
χ172222222222-22-2-2-2222-2-2-2-2-2-2222200002-2-22200000000-2-2000000000000000000
χ182222222222-22-2-2-2222-2-2-2-2-2-2-2-2-2-20000222-2-20000000022000000000000000000
χ192222222222-22-2-2-22-2-22222-2-222220000-2-2-2-2-20000000022000000000000000000
χ202222222222-22-2-2-22-2-22222-2-2-2-2-2-20000-2222200000000-2-2000000000000000000
χ2122222222-2-22-2222-22222-2-2-2-2000022-2-2-20000000000000000002-2000000000000
χ2222222222-2-22-2222-22222-2-2-2-20000-2-222-2000000000000000000-22000000000000
χ2322222222-2-22-2222-2-2-2-2-222-2-2000022-2-22000000000000000000-22000000000000
χ2422222222-2-22-2222-2-2-2-2-222-2-20000-2-22220000000000000000002-2000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2222200000000-2000000000000002i2i−2i−2i00000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-222-2-2222200000000-200000000000000−2i−2i2i2i0000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-222000000002000000000000002i2i−2i−2i0000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-22200000000200000000000000−2i−2i2i2i00000000002i−2i00
χ292-2222-2-2-22-20-20002002-22-20022-2-2000000000i2i2−i2−i2i2i2−i2−i22-20000000000i2−i2i2−i20000
χ302-2222-2-2-22-20-20002002-22-20022-2-2000000000−i2−i2i2i2−i2−i2i2i22-20000000000−i2i2−i2i20000
χ312-2222-2-2-22-20-20002002-22-200-2-222000000000i2i2−i2−i2i2i2−i2−i2-220000000000−i2i2−i2i20000
χ322-2222-2-2-22-20-20002002-22-200-2-222000000000−i2−i2i2i2−i2−i2i2i2-220000000000i2−i2i2−i20000
χ332-2222-2-2-22-20-2000200-22-220022-2-2000000000i2i2−i2−i2−i2−i2i2i2-220000000000i2−i2−i2i20000
χ342-2222-2-2-22-20-2000200-22-220022-2-2000000000−i2−i2i2i2i2i2−i2−i2-220000000000−i2i2i2−i20000
χ352-2222-2-2-22-20-2000200-22-2200-2-222000000000i2i2−i2−i2−i2−i2i2i22-20000000000−i2i2i2−i20000
χ362-2222-2-2-22-20-2000200-22-2200-2-222000000000−i2−i2i2i2i2i2−i2−i22-20000000000i2−i2−i2i20000
χ372-22-2-22-2222-2-22-22-20000002-200002-22-2000002i−2i2i−2i0000000000002i−2i0000000000
χ382-22-2-22-2222-2-22-22-20000002-200002-22-200000−2i2i−2i2i000000000000−2i2i0000000000
χ392-22-2-22-2222-2-22-22-20000002-20000-22-22000002i−2i2i−2i000000000000−2i2i0000000000
χ402-22-2-22-2222-2-22-22-20000002-20000-22-2200000−2i2i−2i2i0000000000002i−2i0000000000
χ412-22-2-22-22-2-2-222-222000000-2200002-2-220000000002-22-200000000002-200000000
χ422-22-2-22-22-2-2-222-222000000-2200002-2-22000000000-22-220000000000-2200000000
χ432-22-2-22-22-2-2-222-222000000-220000-222-20000000002-22-20000000000-2200000000
χ442-22-2-22-22-2-2-222-222000000-220000-222-2000000000-22-2200000000002-200000000
χ45444-4-4-44-44-404000-400000000000000000000022−22−2222000000000000000000000000
χ46444-4-4-44-44-404000-4000000000000000000000−222222−22000000000000000000000000
χ47444-4-4-44-4-440-4000400000000000000000000000002i2−2i2−2i22i200000000000000000000
χ48444-4-4-44-4-440-400040000000000000000000000000−2i22i22i2−2i200000000000000000000
χ4944-44-4-4-440040-4-440000000002i2−2i22i2−2i2000002i2−2i2000000000000000000000000000000
χ5044-44-4-4-440040-4-44000000000−2i22i2−2i22i200000−2i22i2000000000000000000000000000000
χ5144-44-4-4-4400-4044-40000000002i2−2i22i2−2i200000−2i22i2000000000000000000000000000000
χ5244-44-4-4-4400-4044-4000000000−2i22i2−2i22i2000002i2−2i2000000000000000000000000000000
χ534-4444-4-4-4-4404000-4004-4-440000000000000000000000000000000000000000000
χ544-4444-4-4-4-4404000-400-444-40000000000000000000000000000000000000000000
χ554-44-4-44-44444-4-44-4-4000000-4400000000000000000000000000000000000000000
χ564-44-4-44-44-4-444-44-440000004-400000000000000000000000000000000000000000
χ574-4-44-444-4000000004i−4i0000002i2−2i2−2i22i2000000022−220000000000000000000000000000
χ584-4-44-444-4000000004i−4i000000−2i22i22i2−2i20000000−22220000000000000000000000000000
χ594-4-44-444-400000000−4i4i0000002i2−2i2−2i22i20000000−22220000000000000000000000000000
χ604-4-44-444-400000000−4i4i000000−2i22i22i2−2i2000000022−220000000000000000000000000000
χ614-4-4-44-44400404-4-4000000000000000000000000000000002i2−2i22i2−2i200000000000000
χ624-4-4-44-44400404-4-400000000000000000000000000000000−2i22i2−2i22i200000000000000
χ634-4-4-44-44400-40-4440000000000000000000000000000000022−22−222200000000000000
χ644-4-4-44-44400-40-44400000000000000000000000000000000−222222−2200000000000000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000

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