Finite Group Databasebeta

← Group #9700

Character table — Group #9700

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444444444448888888888888888888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1
χ6111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1
χ911111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11
χ1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11
χ1211111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1
χ1311111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ17222222222222222222-2-222-2-2-2-2-2-2-2-20000000000000000000000000000
χ18222222222222-2-2-2-2-2-222-2-222-2-2-2-2220000000000000000000000000000
χ1922222222-2-2-2-22222-2-222-2-222-2-222-2-20000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222220000000000000000000000000000
χ21222-2-2-22-200002i2i−2i−2i002-2002-2002i−2i00i2i2−i2−i222−2−222−2−2i2i2−i2−i2000000000000
χ22222-2-2-22-200002i2i−2i−2i002-2002-2002i−2i00−i2−i2i2i2−2−222−2−222−i2−i2i2i2000000000000
χ23222-2-2-22-200002i2i−2i−2i00-2200-2200−2i2i0022−2−2i2i2−i2−i2−i2−i2i2i2−2−222000000000000
χ24222-2-2-22-200002i2i−2i−2i00-2200-2200−2i2i00−2−222−i2−i2i2i2i2i2−i2−i222−2−2000000000000
χ25222-2-2-22-20000−2i−2i2i2i002-2002-200−2i2i00i2i2−i2−i2−2−222−2−222i2i2−i2−i2000000000000
χ26222-2-2-22-20000−2i−2i2i2i002-2002-200−2i2i00−i2−i2i2i222−2−222−2−2−i2−i2i2i2000000000000
χ27222-2-2-22-20000−2i−2i2i2i00-2200-22002i−2i0022−2−2−i2−i2i2i2i2i2−i2−i2−2−222000000000000
χ28222-2-2-22-20000−2i−2i2i2i00-2200-22002i−2i00−2−222i2i2−i2−i2−i2−i2i2i222−2−2000000000000
χ2922-22-2-2-222i2i−2i−2i2i−2i2i−2i2-2002-20000000000000000000000002−2i2−i2i2−i22−20000
χ3022-22-2-2-222i2i−2i−2i2i−2i2i−2i2-2002-2000000000000000000000000−22−i2i2−i2i2−220000
χ3122-22-2-2-222i2i−2i−2i−2i2i−2i2i-2200-22000000000000000000000000i2−i2−222−2−i2i20000
χ3222-22-2-2-222i2i−2i−2i−2i2i−2i2i-2200-22000000000000000000000000−i2i22−2−22i2−i20000
χ3322-22-2-2-22−2i−2i2i2i2i−2i2i−2i-2200-22000000000000000000000000i2−i22−2−22−i2i20000
χ3422-22-2-2-22−2i−2i2i2i2i−2i2i−2i-2200-22000000000000000000000000−i2i2−222−2i2−i20000
χ3522-22-2-2-22−2i−2i2i2i−2i2i−2i2i2-2002-20000000000000000000000002−2−i2i2−i2i22−20000
χ3622-22-2-2-22−2i−2i2i2i−2i2i−2i2i2-2002-2000000000000000000000000−22i2−i2i2−i2−220000
χ372-2-222-22-22i−2i2i−2i0000002-200-2200002i−2i2−22−2i2−i2i2−i2i2−i2i2−i22−22−2000000000000
χ382-2-222-22-22i−2i2i−2i0000002-200-2200002i−2i−22−22−i2i2−i2i2−i2i2−i2i2−22−22000000000000
χ392-2-222-22-22i−2i2i−2i000000-22002-20000−2i2ii2−i2i2−i2−22−222−22−2−i2i2−i2i2000000000000
χ402-2-222-22-22i−2i2i−2i000000-22002-20000−2i2i−i2i2−i2i22−22−2−22−22i2−i2i2−i2000000000000
χ412-2-222-22-2−2i2i−2i2i0000002-200-220000−2i2i2−22−2−i2i2−i2i2−i2i2−i2i22−22−2000000000000
χ422-2-222-22-2−2i2i−2i2i0000002-200-220000−2i2i−22−22i2−i2i2−i2i2−i2i2−i2−22−22000000000000
χ432-2-222-22-2−2i2i−2i2i000000-22002-200002i−2ii2−i2i2−i22−22−2−22−22−i2i2−i2i2000000000000
χ442-2-222-22-2−2i2i−2i2i000000-22002-200002i−2i−i2i2−i2i2−22−222−22−2i2−i2i2−i2000000000000
χ452-2-2-2-2222000000002-222-22-2-22-200002i−2i−2i2i000000002i−2i−2i2i000000000000
χ462-2-2-2-2222000000002-222-22-2-22-20000−2i2i2i−2i00000000−2i2i2i−2i000000000000
χ472-2-2-2-2222000000002-2-2-2-2222-22000000002-2-22-222-20000000000000000
χ482-2-2-2-2222000000002-2-2-2-2222-2200000000-222-22-2-220000000000000000
χ492-2-2-2-222200000000-22222-2-2-2-22000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ502-2-2-2-222200000000-22222-2-2-2-2200000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ512-2-2-2-222200000000-22-2-22-2222-200002-2-2200000000-222-2000000000000
χ522-2-2-2-222200000000-22-2-22-2222-20000-222-2000000002-2-22000000000000
χ5344-4-444-4-400004-4-44000000000000000000000000000000000000000000
χ5444-4-444-4-40000-444-4000000000000000000000000000000000000000000
χ554-444-44-4-44-4-440000000000000000000000000000000000000000000000
χ564-444-44-4-4-444-40000000000000000000000000000000000000000000000
χ574-44-44-4-44000000004400-4-4000000000000000000000000000000000000
χ584-44-44-4-4400000000-4-40044000000000000000000000000000000000000

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