Finite Group Databasebeta

← Group #285958

Character table — Group #285958

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488882244488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-111-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111-1-1111111-111-1-1-1-11111111111-1-1-1-1-111-1-1-111-1-1-1-1-11
χ101111111111111111-1-1-1-111-1-1111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111-1
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11111111-1-11-1
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-111111-1-1-1-1-11
χ172222222222-2-22-2-222222-2-2-2-2000022-2-2-2000000000000000000200-20000000000
χ182222222222-2-22-2-222222-2-2-2-20000-2-2-222000000000000000000-20020000000000
χ192222222222-2-22-2-22-2-2-2-2-2-2220000222-2-2000000000000000000-20020000000000
χ202222222222-2-22-2-22-2-2-2-2-2-2220000-2-2222000000000000000000200-20000000000
χ2122222222-2-222-222-222-2-2-2-2-2-222220020022-2-2-2-200000000000000000000000000
χ2222222222-2-222-222-222-2-2-2-2-2-2-2-2-2-200200-2-2222200000000000000000000000000
χ2322222222-2-222-222-2-2-222-2-222222200-200-2-222-2-200000000000000000000000000
χ2422222222-2-222-222-2-2-222-2-222-2-2-2-200-20022-2-22200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22222000000-2000000002i2i−2i−2i00000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-22222000000-200000000−2i−2i2i2i0000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-20000002000000002i2i−2i−2i0000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2000000200000000−2i−2i2i2i00000000000000002i−2i0000
χ2922-22-2-22-22-222-2-2-2200002-2000000000000000002i−2i2i−2i22-2-2000002i−2i00000000000
χ3022-22-2-22-22-222-2-2-2200002-2000000000000000002i−2i2i−2i-2-22200000−2i2i00000000000
χ3122-22-2-22-22-222-2-2-2200002-200000000000000000−2i2i−2i2i22-2-200000−2i2i00000000000
χ3222-22-2-22-22-222-2-2-2200002-200000000000000000−2i2i−2i2i-2-222000002i−2i00000000000
χ3322-22-2-22-2-22-2-2222-200002-2000000000000000002-2-2200002i2i−2i−2i00002i−2i00000000
χ3422-22-2-22-2-22-2-2222-200002-2000000000000000002-2-220000−2i−2i2i2i0000−2i2i00000000
χ3522-22-2-22-2-22-2-2222-200002-200000000000000000-222-200002i2i−2i−2i0000−2i2i00000000
χ3622-22-2-22-2-22-2-2222-200002-200000000000000000-222-20000−2i−2i2i2i00002i−2i00000000
χ372-2-2222-2-2002-202-20002i−2i002i−2i2i2i−2i−2i00000002-2000000i2−i2i2−i22−22−20000002−200i2−i200
χ382-2-2222-2-2002-202-20002i−2i002i−2i2i2i−2i−2i00000002-2000000−i2i2−i2i2−22−22000000−2200−i2i200
χ392-2-2222-2-2002-202-20002i−2i002i−2i−2i−2i2i2i0000000-22000000i2−i2i2−i22−22−2000000−2200−i2i200
χ402-2-2222-2-2002-202-20002i−2i002i−2i−2i−2i2i2i0000000-22000000−i2i2−i2i2−22−220000002−200i2−i200
χ412-2-2222-2-2002-202-2000−2i2i00−2i2i2i2i−2i−2i0000000-22000000i2−i2i2−i2−22−220000002−200−i2i200
χ422-2-2222-2-2002-202-2000−2i2i00−2i2i2i2i−2i−2i0000000-22000000−i2i2−i2i22−22−2000000−2200i2−i200
χ432-2-2222-2-2002-202-2000−2i2i00−2i2i−2i−2i2i2i00000002-2000000i2−i2i2−i2−22−22000000−2200i2−i200
χ442-2-2222-2-2002-202-2000−2i2i00−2i2i−2i−2i2i2i00000002-2000000−i2i2−i2i22−22−20000002−200−i2i200
χ45444-44-4-4-44-400400-40000000000004-400000000000000000000000000000000000
χ46444-44-4-4-44-400400-4000000000000-4400000000000000000000000000000000000
χ47444-44-4-4-4-4400-40040000000000000004i−4i00000000000000000000000000000000
χ48444-44-4-4-4-4400-4004000000000000000−4i4i00000000000000000000000000000000
χ4944-44-4-44-44-4-4-4-44440000-440000000000000000000000000000000000000000000
χ5044-44-4-44-4-44444-4-4-40000-440000000000000000000000000000000000000000000
χ5144-4-4-44-444400-400-40000000022−2222−2200000000022−2200000000000000000000000000
χ5244-4-4-44-444400-400-400000000−2222−2222000000000−222200000000000000000000000000
χ5344-4-4-44-44-4-40040040000000022−2222−22000000000−222200000000000000000000000000
χ5444-4-4-44-44-4-400400400000000−2222−222200000000022−2200000000000000000000000000
χ554-444-4-4-44004-40-4400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ564-444-4-4-44004-40-440000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ574-444-4-4-4400-4404-4000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ584-444-4-4-4400-4404-400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ594-44-4-444-4000000004-40000002i2−2i2−2i22i2000002i2−2i2000000000000000000000000000000
χ604-44-4-444-4000000004-4000000−2i22i22i2−2i200000−2i22i2000000000000000000000000000000
χ614-44-4-444-400000000-440000002i2−2i2−2i22i200000−2i22i2000000000000000000000000000000
χ624-44-4-444-400000000-44000000−2i22i22i2−2i2000002i2−2i2000000000000000000000000000000
χ634-4-4444-4-400-440-440004i−4i00−4i4i00000000000000000000000000000000000000000
χ644-4-4444-4-400-440-44000−4i4i004i−4i00000000000000000000000000000000000000000
χ658-8-8-88-888000000000000000000000000000000000000000000000000000000000

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