Finite Group Databasebeta

← Group #279587

Character table — Group #279587

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111111111-1-1
χ91111111111111111-1-1-1-111-1-111111111-1-1-11111-1-1-1-111-1-11111-111-1-1-111-1-1-1-11-1
χ101111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-111111-1-111-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-11111-1111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11111-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1111-1-111-1-11-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-1-11
χ172222222222-22-2-2-222222-2-2-2-222220000-22200000000-2-2-2-2000000000000000000
χ182222222222-22-2-2-222222-2-2-2-2-2-2-2-20000-2-2-2000000002222000000000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-222222200002-2-200000000-2-222000000000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-222-2-2-2-200002220000000022-2-2000000000000000000
χ2122222222-2-22-2222-222-2-2-2-222000022-2-2-2000000000000000000200-20000000000
χ2222222222-2-22-2222-222-2-2-2-2220000-2-222-2000000000000000000-20020000000000
χ2322222222-2-22-2222-2-2-222-2-2-2-2000022-2-22000000000000000000-20020000000000
χ2422222222-2-22-2222-2-2-222-2-2-2-20000-2-2222000000000000000000200-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-2000000002000000000000002i2i−2i−2i00000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-200000000200000000000000−2i−2i2i2i0000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-222222200000000-2000000000000002i2i−2i−2i0000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-222222200000000-200000000000000−2i−2i2i2i00000000002i−2i00
χ292222-2-2-2-22-202000-22-22-2000022-2-2000002-222−2−222−2−2000000000000002−22−20000
χ302222-2-2-2-22-202000-22-22-2000022-2-2000002-2−2−222−2−22200000000000000−22−220000
χ312222-2-2-2-22-202000-22-22-20000-2-22200000-2222−2−222−2−200000000000000−22−220000
χ322222-2-2-2-22-202000-22-22-20000-2-22200000-22−2−222−2−222000000000000002−22−20000
χ332222-2-2-2-22-202000-2-22-22000022-2-200000-2222−2−2−2−222000000000000002−2−220000
χ342222-2-2-2-22-202000-2-22-22000022-2-200000-22−2−22222−2−200000000000000−222−20000
χ352222-2-2-2-22-202000-2-22-220000-2-222000002-222−2−2−2−22200000000000000−222−20000
χ362222-2-2-2-22-202000-2-22-220000-2-222000002-2−2−22222−2−2000000000000002−2−220000
χ3722-2-22-22-2222-22-2-2-200002-20000002-22-20002-22-200000000000002-200000000000
χ3822-2-22-22-2222-22-2-2-200002-20000002-22-2000-22-220000000000000-2200000000000
χ3922-2-22-22-2222-22-2-2-200002-2000000-22-220002-22-20000000000000-2200000000000
χ4022-2-22-22-2222-22-2-2-200002-2000000-22-22000-22-2200000000000002-200000000000
χ4122-2-22-22-2-2-2222-2-220000-220000002-2-2200000002i−2i2i−2i0000000000002i−2i00000000
χ4222-2-22-22-2-2-2222-2-220000-220000002-2-220000000−2i2i−2i2i000000000000−2i2i00000000
χ4322-2-22-22-2-2-2222-2-220000-22000000-222-200000002i−2i2i−2i000000000000−2i2i00000000
χ4422-2-22-22-2-2-2222-2-220000-22000000-222-20000000−2i2i−2i2i0000000000002i−2i00000000
χ454444-4-4-4-4-440-400044-4-44000000000000000000000000000000000000000000000
χ464444-4-4-4-4-440-40004-444-4000000000000000000000000000000000000000000000
χ4744-4-44-44-444-4-4-444-40000-440000000000000000000000000000000000000000000
χ4844-4-44-44-4-4-4-44-444400004-40000000000000000000000000000000000000000000
χ4944-4-4-44-444-40-40004000000000000000000022−22−222200000000000000000000000000
χ5044-4-4-44-444-40-400040000000000000000000−222222−2200000000000000000000000000
χ5144-4-4-44-44-4404000-4000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5244-4-4-44-44-4404000-400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ534-44-444-4-4000000000000004-422−2222−220000000000000000022−22000000000000000000
χ544-44-444-4-4000000000000004-4−2222−222200000000000000000−2222000000000000000000
χ554-44-444-4-400000000000000-4422−2222−2200000000000000000−2222000000000000000000
χ564-44-444-4-400000000000000-44−2222−22220000000000000000022−22000000000000000000
χ574-44-4-4-4440040-4-4400000000022−22−222200000000000000022−2200000000000000000000
χ584-44-4-4-4440040-4-44000000000−222222−22000000000000000−222200000000000000000000
χ594-44-4-4-44400-4044-400000000022−22−2222000000000000000−222200000000000000000000
χ604-44-4-4-44400-4044-4000000000−222222−2200000000000000022−2200000000000000000000
χ614-4-44-444-40040-44-40000000000000000000000000000000022−2222−2200000000000000
χ624-4-44-444-40040-44-400000000000000000000000000000000−2222−222200000000000000
χ634-4-44-444-400-404-44000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ644-4-44-444-400-404-4400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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