Finite Group Databasebeta

← Group #279936

Character table — Group #279936

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888884444444488888888888888882224444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111
χ5111111111111111111111-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1
χ91111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-11-1-1-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111111-1-1-111-1-111-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-11111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-111111111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-11111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111111-1-1111-1-1-1-1-1-11
χ172222222222-2-22-2-222222-20000-200002222000022-2-2000000-2-200000000-2000000000000
χ182222222222-2-22-2-222222-20000-20000-2-2-2-20000-2-2-2-200000022000000002000000000000
χ192222222222-2-22-2-22-2-2-2-2-20000-2000022220000-2-222000000-2-2000000002000000000000
χ202222222222-2-22-2-22-2-2-2-2-20000-20000-2-2-2-2000022220000002200000000-2000000000000
χ2122222222-2-222-222-20000-22222-222220000-2-2220000-2-200000000000000000-2000000000
χ2222222222-2-222-222-20000-22222-2-2-2-2-20000-2-2-2-2000022000000000000000002000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-22222000022-2-20000-2-2000000000000000002000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-2-2-2-2-20000222200002200000000000000000-2000000000
χ2522-2-22-22-2002-202-200000022-2-2022-2-2i2i2−i2−i2002-20000000000i2−i2i2i2−i2−i2i2i2−i2−i20000000000i2−i20
χ2622-2-22-22-2002-202-200000022-2-2022-2-2−i2−i2i2i2002-20000000000−i2i2−i2−i2i2i2−i2−i2i2i20000000000−i2i20
χ2722-2-22-22-2002-202-200000022-2-20-2-222i2i2−i2−i200-220000000000i2−i2i2i2−i2−i2−i2−i2i2i20000000000−i2i20
χ2822-2-22-22-2002-202-200000022-2-20-2-222−i2−i2i2i200-220000000000−i2i2−i2−i2i2i2i2i2−i2−i20000000000i2−i20
χ2922-2-22-22-2002-202-2000000-2-222022-2-2i2i2−i2−i200-220000000000i2−i2−i2−i2i2i2i2i2−i2−i20000000000−i2i20
χ3022-2-22-22-2002-202-2000000-2-222022-2-2−i2−i2i2i200-220000000000−i2i2i2i2−i2−i2−i2−i2i2i20000000000i2−i20
χ3122-2-22-22-2002-202-2000000-2-2220-2-222i2i2−i2−i2002-20000000000i2−i2−i2−i2i2i2−i2−i2i2i20000000000i2−i20
χ3222-2-22-22-2002-202-2000000-2-2220-2-222−i2−i2i2i2002-20000000000−i2i2i2i2−i2−i2i2i2−i2−i20000000000−i2i20
χ332-2222-2-2-2-2-200200222-2-20000002−22−22i−2i2i−2i00002i−2i002−222−2−2000000i2−i2i2−i200000000i2−i2000
χ342-2222-2-2-2-2-200200222-2-20000002−22−2−2i2i−2i2i0000−2i2i002−222−2−2000000−i2i2−i2i200000000−i2i2000
χ352-2222-2-2-2-2-200200222-2-2000000−22−222i−2i2i−2i00002i−2i00−22−2−222000000−i2i2−i2i200000000−i2i2000
χ362-2222-2-2-2-2-200200222-2-2000000−22−22−2i2i−2i2i0000−2i2i00−22−2−222000000i2−i2i2−i200000000i2−i2000
χ372-2222-2-2-2-2-2002002-2-2220000002−22−22i−2i2i−2i0000−2i2i002−2−2−222000000i2−i2i2−i200000000−i2i2000
χ382-2222-2-2-2-2-2002002-2-2220000002−22−2−2i2i−2i2i00002i−2i002−2−2−222000000−i2i2−i2i200000000i2−i2000
χ392-2222-2-2-2-2-2002002-2-222000000−22−222i−2i2i−2i0000−2i2i00−2222−2−2000000−i2i2−i2i200000000i2−i2000
χ402-2222-2-2-2-2-2002002-2-222000000−22−22−2i2i−2i2i00002i−2i00−2222−2−2000000i2−i2i2−i200000000−i2i2000
χ412-22-2-222-22-2222-2-2-22i−2i2i−2i-22-22-22000000002-200002i−2i000000000000000000002i−2i0000000
χ422-22-2-222-22-2222-2-2-22i−2i2i−2i-2-22-22200000000-2200002i−2i00000000000000000000−2i2i0000000
χ432-22-2-222-22-2222-2-2-2−2i2i−2i2i-22-22-22000000002-20000−2i2i00000000000000000000−2i2i0000000
χ442-22-2-222-22-2222-2-2-2−2i2i−2i2i-2-22-22200000000-220000−2i2i000000000000000000002i−2i0000000
χ452-22-2-222-22-2-2-2222-22i−2i2i−2i20000-200000000000000−2i2i000000002i−2i2i−2i000002-20000000000
χ462-22-2-222-22-2-2-2222-22i−2i2i−2i20000-200000000000000−2i2i00000000−2i2i−2i2i00000-220000000000
χ472-22-2-222-22-2-2-2222-2−2i2i−2i2i20000-2000000000000002i−2i000000002i−2i2i−2i00000-220000000000
χ482-22-2-222-22-2-2-2222-2−2i2i−2i2i20000-2000000000000002i−2i00000000−2i2i−2i2i000002-20000000000
χ492-22-2-222-2-2222-2-2-22000022-22-2-200000000-22000000002i−2i2i−2i00000000000000002i−2i00000
χ502-22-2-222-2-2222-2-2-22000022-22-2-200000000-2200000000−2i2i−2i2i0000000000000000−2i2i00000
χ512-22-2-222-2-2222-2-2-2200002-22-22-2000000002-2000000002i−2i2i−2i0000000000000000−2i2i00000
χ522-22-2-222-2-2222-2-2-2200002-22-22-2000000002-200000000−2i2i−2i2i00000000000000002i−2i00000
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ54444-4-4-4-444-400-400400000000000000000000000000002i2−2i2−2i22i200000000000000000000000
χ55444-4-4-4-444-400-40040000000000000000000000000000−2i22i22i2−2i200000000000000000000000
χ56444-4-4-4-44-4400400-44i−4i−4i4i000000000000000000000000000000000000000000000000000
χ57444-4-4-4-44-4400400-4−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ5844-4-44-44-400-440-440000000000000002i22i2−2i2−2i200000000000000−2i22i2000000000000000000000
χ5944-4-44-44-400-440-44000000000000000−2i2−2i22i22i2000000000000002i2−2i2000000000000000000000
χ604-4444-4-4-44400-400-4000000000022−2222−22000000000000−2222000000000000000000000000000
χ614-4444-4-4-44400-400-40000000000−2222−222200000000000022−22000000000000000000000000000
χ624-44-4-444-4-44-4-4-44440000-400004000000000000000000000000000000000000000000000
χ634-4-44-4-444004-40-440000004-4-440000000000000000000000000000000000000000000000
χ644-4-44-4-444004-40-44000000-444-40000000000000000000000000000000000000000000000
χ654-4-44-4-44400-4404-40000000000000000000000000000000000022−22−222200000000000000000
χ664-4-44-4-44400-4404-400000000000000000000000000000000000−222222−2200000000000000000
χ674-4-4-444-4400000000000000000022−22−222222−22−2222000000000000000000002-2-220000000000000
χ684-4-4-444-4400000000000000000022−22−2222−222222−2200000000000000000000-222-20000000000000
χ694-4-4-444-44000000000000000000−222222−2222−22−222200000000000000000000-222-20000000000000
χ704-4-4-444-44000000000000000000−222222−22−222222−22000000000000000000002-2-220000000000000
χ7188-88-88-8-8000000000000000000000000000000000000000000000000000000000000000

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