Finite Group Databasebeta

← Group #9686

Character table — Group #9686

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
χ172222222222222222-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-222-2-2-2-2220000000000000000000000000000
χ1922222222-2-2-2-2222222-2-2-2-222-2-222-2-20000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ21222-2-2-22-2000022-2-22i−2i00002i−2i002i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000
χ22222-2-2-22-2000022-2-22i−2i00002i−2i002i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000
χ23222-2-2-22-2000022-2-2−2i2i0000−2i2i00−2i2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000
χ24222-2-2-22-2000022-2-2−2i2i0000−2i2i00−2i2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000
χ25222-2-2-22-20000-2-2222i−2i00002i−2i00−2i2i001+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i000000000000
χ26222-2-2-22-20000-2-2222i−2i00002i−2i00−2i2i00−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i000000000000
χ27222-2-2-22-20000-2-222−2i2i0000−2i2i002i−2i001−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i000000000000
χ28222-2-2-22-20000-2-222−2i2i0000−2i2i002i−2i00−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i000000000000
χ2922-22-2-2-222i2i−2i−2i2-22-2002i2i−2i−2i0000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ3022-22-2-2-222i2i−2i−2i2-22-2002i2i−2i−2i000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ3122-22-2-2-222i2i−2i−2i-22-2200−2i−2i2i2i0000000000000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000
χ3222-22-2-2-222i2i−2i−2i-22-2200−2i−2i2i2i000000000000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000
χ3322-22-2-2-22−2i−2i2i2i2-22-200−2i−2i2i2i0000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ3422-22-2-2-22−2i−2i2i2i2-22-200−2i−2i2i2i000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ3522-22-2-2-22−2i−2i2i2i-22-22002i2i−2i−2i0000000000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000
χ3622-22-2-2-22−2i−2i2i2i-22-22002i2i−2i−2i000000000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000
χ372-2-222-22-22i−2i2i−2i00002i−2i0000−2i2i00002-21−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ382-2-222-22-22i−2i2i−2i00002i−2i0000−2i2i00002-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ392-2-222-22-22i−2i2i−2i0000−2i2i00002i−2i0000-221+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i000000000000
χ402-2-222-22-22i−2i2i−2i0000−2i2i00002i−2i0000-22−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i000000000000
χ412-2-222-22-2−2i2i−2i2i00002i−2i0000−2i2i0000-221−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i000000000000
χ422-2-222-22-2−2i2i−2i2i00002i−2i0000−2i2i0000-22−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i000000000000
χ432-2-222-22-2−2i2i−2i2i0000−2i2i00002i−2i00002-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ442-2-222-22-2−2i2i−2i2i0000−2i2i00002i−2i00002-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ452-2-2-2-222200000000222-22-2-2-22-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ462-2-2-2-222200000000222-22-2-2-22-200000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ472-2-2-2-22220000000022-22-22-2-2-2200002i−2i−2i2i00000000−2i2i2i−2i000000000000
χ482-2-2-2-22220000000022-22-22-2-2-220000−2i2i2i−2i000000002i−2i−2i2i000000000000
χ492-2-2-2-222200000000-2-22-22-222-2200002-2-22000000002-2-22000000000000
χ502-2-2-2-222200000000-2-22-22-222-220000-222-200000000-222-2000000000000
χ512-2-2-2-222200000000-2-2-22-22222-2000000002-2-222-2-220000000000000000
χ522-2-2-2-222200000000-2-2-22-22222-200000000-222-2-222-20000000000000000
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
χ574-44-44-4-4400000000004i−4i−4i4i000000000000000000000000000000000000
χ584-44-44-4-440000000000−4i4i4i−4i000000000000000000000000000000000000

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