Finite Group Databasebeta

← Group #277874

Character table — Group #277874

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488884444444888844888888888888888884488888888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111-1-1-1-111111-1-11111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ8111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-111-1-1-1-111-11-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-1111-111-1-1-11
χ12111111111111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-11-1-1111-1
χ13111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-11111-1-11-1-1-111-11
χ14111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-111-1-111-1111111-1-1-1-1-1-111-1-111-1111-1-11-1
χ15111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-11111-1-1111111-1-1-1-1111-1-1-1111-1
χ16111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-11111-1-1111111-1-111-1-1-1111-1-1-11
χ172222222-2-22-2-200002-222-2-2-200002-200000000000002i2i−2i−2i002i−2i000000000000
χ182222222-2-22-2-200002-222-2-2-200002-20000000000000−2i−2i2i2i00−2i2i000000000000
χ192222222-2-22-2-200002-2-2-222-20000-2200000000000002i2i−2i−2i00−2i2i000000000000
χ202222222-2-22-2-200002-2-2-222-20000-220000000000000−2i−2i2i2i002i−2i000000000000
χ21222222-222-2222222-2-20000-222-2-200002222-2000000000000000000-2-2000000
χ22222222-222-2222222-2-20000-222-2-20000-2-2-2-2-200000000000000000022000000
χ23222222-222-222-2-2-2-2-2-20000-2-2-222000022-2-22000000000000000000-22000000
χ24222222-222-222-2-2-2-2-2-20000-2-2-2220000-2-22220000000000000000002-2000000
χ252222-2-222-222-22222-2-222-2-22-2-222-22000000-222-2-20000000000000000000000
χ262222-2-222-222-22222-2-2-2-2222-2-2222-2000000-2-2-2220000000000000000000000
χ272222-2-222-222-2-2-2-2-2-2-222-2-2222-2-2-220000002-2-2220000000000000000000000
χ282222-2-222-222-2-2-2-2-2-2-2-2-222222-2-22-2000000222-2-20000000000000000000000
χ292222-2-22-222-220000-222222-20000-2-222000000000-2-200002-200000000000000
χ302222-2-22-222-220000-222222-20000-2-2-2-2000000000220000-2200000000000000
χ312222-2-22-222-220000-22-2-2-2-2-200002222000000000-2-20000-2200000000000000
χ322222-2-22-222-220000-22-2-2-2-2-2000022-2-20000000002200002-200000000000000
χ332222-2-2-22-2-22-22222220000-2-2-2-2-2000000002000000000000000000002i−2i2i−2i00
χ342222-2-2-22-2-22-22222220000-2-2-2-2-200000000200000000000000000000−2i2i−2i2i00
χ352222-2-2-22-2-22-2-2-2-2-2220000-2222200000000-2000000000000000000002i−2i−2i2i00
χ362222-2-2-22-2-22-2-2-2-2-2220000-2222200000000-200000000000000000000−2i2i2i−2i00
χ372-2-222-202-20-2222-2-200000002-200002−22i−2i2i−2i000002−22−22−20000i2−i2i2−i200000000
χ382-2-222-202-20-2222-2-200000002-200002−2−2i2i−2i2i000002−22−22−20000−i2i2−i2i200000000
χ392-2-222-202-20-2222-2-200000002-20000−222i−2i2i−2i00000−22−22−220000−i2i2−i2i200000000
χ402-2-222-202-20-2222-2-200000002-20000−22−2i2i−2i2i00000−22−22−220000i2−i2i2−i200000000
χ412-2-222-202-20-22-2-2220000000-2200002−22i−2i−2i2i000002−2−22−220000i2−i2−i2i200000000
χ422-2-222-202-20-22-2-2220000000-2200002−2−2i2i2i−2i000002−2−22−220000−i2i2i2−i200000000
χ432-2-222-202-20-22-2-2220000000-220000−222i−2i−2i2i00000−222−22−20000−i2i2i2−i200000000
χ442-2-222-202-20-22-2-2220000000-220000−22−2i2i2i−2i00000−222−22−20000i2−i2−i2i200000000
χ45444444-4-4-4-4-4-40000-4400004000000000000000000000000000000000000000
χ464444-4-4-4-44-4-4400004-400004000000000000000000000000000000000000000
χ4744-4-400400-40022−2222−2200004-400022−220000000000022−220000000000000000000000
χ4844-4-400400-40022−2222−220000-4400022−2200000000000−22220000000000000000000000
χ4944-4-400400-400−2222−222200004-4000−222200000000000−22220000000000000000000000
χ5044-4-400400-400−2222−22220000-44000−22220000000000022−220000000000000000000000
χ5144-4-400-40040022−2222−22004i−4i00000−22220000000002i2−2i2000000000000000000000000
χ5244-4-400-40040022−2222−2200−4i4i00000−2222000000000−2i22i2000000000000000000000000
χ5344-4-400-400400−2222−2222004i−4i0000022−22000000000−2i22i2000000000000000000000000
χ5444-4-400-400400−2222−222200−4i4i0000022−220000000002i2−2i2000000000000000000000000
χ554-4-444-40-4404-40000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ564-4-444-40-4404-4000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ574-4-44-440440-4-444-4-40000000-440000000000000000000000000000000000000
χ584-4-44-440440-4-4-4-44400000004-40000000000000000000000000000000000000
χ594-4-44-440-4-40440000000000000000022−22000000000−222200000000000000000000
χ604-4-44-440-4-404400000000000000000−222200000000022−2200000000000000000000
χ618-88-80000000042−42−42420000000000000000000000000000000000000000000000
χ628-88-800000000−424242−420000000000000000000000000000000000000000000000

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