Finite Group Databasebeta

← Group #278766

Character table — Group #278766

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888822444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1
χ91111111111111111-1-1-1-1-1-1111111-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-11
χ101111111111111111-1-1-1-1-1-1111111-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111-1
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11-1
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-11
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-111-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111-1-11-1
χ172222222222-2-2-222-222-2-222-2-22222-2000000000000-2-222-2-2000000000000000000
χ182222222222-2-2-222-222-2-222-2-2-2-2-2-2-200000000000022-2-222000000000000000000
χ192222222222-2-2-222-2-2-222-2-2-2-222222000000000000-2-2-2-222000000000000000000
χ202222222222-2-2-222-2-2-222-2-2-2-2-2-2-2-220000000000002222-2-2000000000000000000
χ2122222222-2-2222-2-222222-2-2-2-20000-222-2-2000000000000000000002-20000000000
χ2222222222-2-2222-2-222222-2-2-2-20000-2-2-22200000000000000000000-220000000000
χ2322222222-2-2222-2-22-2-2-2-222-2-20000222-2-200000000000000000000-220000000000
χ2422222222-2-2222-2-22-2-2-2-222-2-200002-2-222000000000000000000002-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-222000020000000000000000002i2i−2i−2i0000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-22200002000000000000000000−2i−2i2i2i000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222220000-20000000000000000002i2i−2i−2i000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222220000-2000000000000000000−2i−2i2i2i0000002i−2i000000
χ2922-222-2-2-22-20002-202i−2i002i−2i002i2i−2i−2i00000i2i2−i2−i222−2−2002-2000000000000002−2i2−i200
χ3022-222-2-2-22-20002-202i−2i002i−2i002i2i−2i−2i00000−i2−i2i2i2−2−222002-200000000000000−22−i2i200
χ3122-222-2-2-22-20002-202i−2i002i−2i00−2i−2i2i2i00000i2i2−i2−i222−2−200-2200000000000000−22−i2i200
χ3222-222-2-2-22-20002-202i−2i002i−2i00−2i−2i2i2i00000−i2−i2i2i2−2−22200-22000000000000002−2i2−i200
χ3322-222-2-2-22-20002-20−2i2i00−2i2i002i2i−2i−2i00000i2i2−i2−i2−2−22200-22000000000000002−2−i2i200
χ3422-222-2-2-22-20002-20−2i2i00−2i2i002i2i−2i−2i00000−i2−i2i2i222−2−200-2200000000000000−22i2−i200
χ3522-222-2-2-22-20002-20−2i2i00−2i2i00−2i−2i2i2i00000i2i2−i2−i2−2−222002-200000000000000−22i2−i200
χ3622-222-2-2-22-20002-20−2i2i00−2i2i00−2i−2i2i2i00000−i2−i2i2i222−2−2002-2000000000000002−2−i2i200
χ3722-2-2-22-2222-22-2-2-220000002-2000002-22-200002i−2i2i−2i000000000000002i−2i00000000
χ3822-2-2-22-2222-22-2-2-220000002-2000002-22-20000−2i2i−2i2i00000000000000−2i2i00000000
χ3922-2-2-22-2222-22-2-2-220000002-200000-22-2200002i−2i2i−2i00000000000000−2i2i00000000
χ4022-2-2-22-2222-22-2-2-220000002-200000-22-220000−2i2i−2i2i000000000000002i−2i00000000
χ4122-2-2-22-22-2-2-22-2222000000-22000002-2-222-22-2000000000000002-2000000000000
χ4222-2-2-22-22-2-2-22-2222000000-22000002-2-22-22-2200000000000000-22000000000000
χ4322-2-2-22-22-2-2-22-2222000000-2200000-222-22-22-200000000000000-22000000000000
χ4422-2-2-22-22-2-2-22-2222000000-2200000-222-2-22-22000000000000002-2000000000000
χ45444-4-4-44-44-4000-4400000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ46444-4-4-44-44-4000-440000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ47444-4-4-44-4-440004-40000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ48444-4-4-44-4-440004-4000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ4944-444-4-4-4-44000-4404i−4i00−4i4i0000000000000000000000000000000000000000000
χ5044-444-4-4-4-44000-440−4i4i004i−4i0000000000000000000000000000000000000000000
χ5144-4-4-44-44444-44-4-4-4000000-4400000000000000000000000000000000000000000
χ5244-4-4-44-44-4-44-4444-40000004-400000000000000000000000000000000000000000
χ534-444-44-4-4004-4-4004000000002i2−2i22i2−2i200000000000002i2−2i20000000000000000000000
χ544-444-44-4-4004-4-400400000000−2i22i2−2i22i20000000000000−2i22i20000000000000000000000
χ554-444-44-4-400-44400-4000000002i2−2i22i2−2i20000000000000−2i22i20000000000000000000000
χ564-444-44-4-400-44400-400000000−2i22i2−2i22i200000000000002i2−2i20000000000000000000000
χ574-4-44-4-44400000000004-4000022−22−22220000000000000000022−22000000000000000000
χ584-4-44-4-44400000000004-40000−222222−2200000000000000000−2222000000000000000000
χ594-4-44-4-4440000000000-44000022−22−222200000000000000000−2222000000000000000000
χ604-4-44-4-4440000000000-440000−222222−220000000000000000022−22000000000000000000
χ614-4-4-4444-40044-400-400000000000000000000000000000002i2−2i22i2−2i200000000000000
χ624-4-4-4444-40044-400-40000000000000000000000000000000−2i22i2−2i22i200000000000000
χ634-4-4-4444-400-4-44004000000000000000000000000000000022−22−222200000000000000
χ644-4-4-4444-400-4-440040000000000000000000000000000000−222222−2200000000000000
χ658-88-88-8-88000000000000000000000000000000000000000000000000000000000

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