Finite Group Databasebeta

← Group #276140

Character table — Group #276140

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888822444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1
χ91111111111111111-1-111-1-1-1-11111-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-11
χ101111111111111111-1-111-1-1-1-11111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-111-1-11-1
χ172222222222-22-2-2-2222-2-222-2-20000-222-2-2000000000000000000002-20000000000
χ182222222222-22-2-2-2222-2-222-2-20000-2-2-22200000000000000000000-220000000000
χ192222222222-22-2-2-22-2-2-2-2-2-2220000222-2-200000000000000000000-220000000000
χ202222222222-22-2-2-22-2-2-2-2-2-22200002-2-222000000000000000000002-20000000000
χ2122222222-2-22-2222-222-2-2-2-2222222-20000-2-222-2-200000000000000000000000000
χ2222222222-2-22-2222-222-2-2-2-222-2-2-2-2-2000022-2-22200000000000000000000000000
χ2322222222-2-22-2222-2-2-2-2-222-2-2222220000-2-2-2-22200000000000000000000000000
χ2422222222-2-22-2222-2-2-2-2-222-2-2-2-2-2-2200002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-200002000000000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-20000200000000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222220000-2000000000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222220000-200000000000000−2i−2i2i2i00000000002i−2i000000
χ2922-2-2-2-22200202-2-202-200002-222-2-200000002-200i2i2−i2−i20000i2i2−i2−i200000000i2−i2i2−i200
χ3022-2-2-2-22200202-2-202-200002-222-2-200000002-200−i2−i2i2i20000−i2−i2i2i200000000−i2i2−i2i200
χ3122-2-2-2-22200202-2-202-200002-2-2-2220000000-2200i2i2−i2−i20000i2i2−i2−i200000000−i2i2−i2i200
χ3222-2-2-2-22200202-2-202-200002-2-2-2220000000-2200−i2−i2i2i20000−i2−i2i2i200000000i2−i2i2−i200
χ3322-2-2-2-22200202-2-20-220000-2222-2-20000000-2200i2i2−i2−i20000−i2−i2i2i200000000i2−i2−i2i200
χ3422-2-2-2-22200202-2-20-220000-2222-2-20000000-2200−i2−i2i2i20000i2i2−i2−i200000000−i2i2i2−i200
χ3522-2-2-2-22200202-2-20-220000-22-2-22200000002-200i2i2−i2−i20000−i2−i2i2i200000000−i2i2i2−i200
χ3622-2-2-2-22200202-2-20-220000-22-2-22200000002-200−i2−i2i2i20000i2i2−i2−i200000000i2−i2−i2i200
χ372-222-2-22-22-222-2-22-2002-20000000002i−2i2i−2i0000002-22-20000000000002i−2i00000000
χ382-222-2-22-22-222-2-22-2002-20000000002i−2i2i−2i000000-22-22000000000000−2i2i00000000
χ392-222-2-22-22-222-2-22-2002-2000000000−2i2i−2i2i0000002-22-2000000000000−2i2i00000000
χ402-222-2-22-22-222-2-22-2002-2000000000−2i2i−2i2i000000-22-220000000000002i−2i00000000
χ412-222-2-22-22-2-2222-2-200-220000000002i−2i−2i2i000000000000002i−2i2i−2i2-2000000000000
χ422-222-2-22-22-2-2222-2-200-220000000002i−2i−2i2i00000000000000−2i2i−2i2i-22000000000000
χ432-222-2-22-22-2-2222-2-200-22000000000−2i2i2i−2i000000000000002i−2i2i−2i-22000000000000
χ442-222-2-22-22-2-2222-2-200-22000000000−2i2i2i−2i00000000000000−2i2i−2i2i2-2000000000000
χ45444-44-4-4-40000000000004i−4i0022−2222−220000000002i2−2i200000000000000000000000000
χ46444-44-4-4-40000000000004i−4i00−2222−2222000000000−2i22i200000000000000000000000000
χ47444-44-4-4-4000000000000−4i4i0022−2222−22000000000−2i22i200000000000000000000000000
χ48444-44-4-4-4000000000000−4i4i00−2222−22220000000002i2−2i200000000000000000000000000
χ4944-44-44-4-4440-4000-40000000022−22−22220000022−22000000000000000000000000000000
χ5044-44-44-4-4440-4000-400000000−222222−2200000−2222000000000000000000000000000000
χ5144-44-44-4-4-4-40400040000000022−22−222200000−2222000000000000000000000000000000
χ5244-44-44-4-4-4-404000400000000−222222−220000022−22000000000000000000000000000000
χ5344-4-4-4-44400-40-44404-40000-4400000000000000000000000000000000000000000
χ5444-4-4-4-44400-40-4440-4400004-400000000000000000000000000000000000000000
χ554-444-4-44-4-444-4-4-44400-44000000000000000000000000000000000000000000000
χ564-444-4-44-4-44-4-444-44004-4000000000000000000000000000000000000000000000
χ574-4-444-4-444-40-4000400000000000000000000000000022−2222−22000000000000000000
χ584-4-444-4-444-40-40004000000000000000000000000000−2222−2222000000000000000000
χ594-4-444-4-44-4404000-40000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ604-4-444-4-44-4404000-4000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ614-4-4-4444-40040-44-40000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ624-4-4-4444-40040-44-4000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ634-4-4-4444-400-404-440000000000000000000000000000000022−22−222200000000000000
χ644-4-4-4444-400-404-4400000000000000000000000000000000−222222−2200000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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