Finite Group Databasebeta

← Group #24601

Character table — Group #24601

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222222224444444444444444448888888888888888444444444444
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
χ511111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ1311111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ1511111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ17222222222222-2-22222-2-2-2-2-2-2-2-222-2-20000000000000000000000000000
χ18222222222222-2-2-2-2-2-22222-2-2-2-2-2-2220000000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2220000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000
χ2122-2-22-2-2222-2-200000022-2-20000002-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ2222-2-22-2-2222-2-200000022-2-20000002-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ2322-2-22-2-2222-2-2000000-2-222000000-22i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ2422-2-22-2-2222-2-2000000-2-222000000-22−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ2522-2-22-2-22-2-22200000022-2-2000000-22i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ2622-2-22-2-22-2-22200000022-2-2000000-22−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ2722-2-22-2-22-2-222000000-2-2220000002-2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ2822-2-22-2-22-2-222000000-2-2220000002-2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ292-222-2-2-222-22-2002i2i−2i−2i000000002i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ302-222-2-2-222-22-2002i2i−2i−2i000000002i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ312-222-2-2-222-22-200−2i−2i2i2i00000000−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ322-222-2-2-222-22-200−2i−2i2i2i00000000−2i2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ332-222-2-2-22-22-22002i2i−2i−2i00000000−2i2i00i2−i2i2−i2−i2i2−i2i22−22−2−22−22000000000000
χ342-222-2-2-22-22-22002i2i−2i−2i00000000−2i2i00−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000000000
χ352-222-2-2-22-22-2200−2i−2i2i2i000000002i−2i00i2−i2i2−i2−i2i2−i2i2−22−222−22−2000000000000
χ362-222-2-2-22-22-2200−2i−2i2i2i000000002i−2i00−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000000000
χ372-22-222-2-200002-22i−2i2i−2i2i−2i2i−2i2-20000000000000000000000002-2002i−2i0000
χ382-22-222-2-200002-22i−2i2i−2i2i−2i2i−2i2-2000000000000000000000000-2200−2i2i0000
χ392-22-222-2-200002-2−2i2i−2i2i−2i2i−2i2i2-20000000000000000000000002-200−2i2i0000
χ402-22-222-2-200002-2−2i2i−2i2i−2i2i−2i2i2-2000000000000000000000000-22002i−2i0000
χ412-22-222-2-20000-222i−2i2i−2i−2i2i−2i2i-2200000000000000000000002-2002i−2i000000
χ422-22-222-2-20000-222i−2i2i−2i−2i2i−2i2i-220000000000000000000000-2200−2i2i000000
χ432-22-222-2-20000-22−2i2i−2i2i2i−2i2i−2i-2200000000000000000000002-200−2i2i000000
χ442-22-222-2-20000-22−2i2i−2i2i2i−2i2i−2i-220000000000000000000000-22002i−2i000000
χ452-2-2-2-22222-2-222200000000-2-22-20000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ462-2-2-2-22222-2-222200000000-2-22-2000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ472-2-2-2-22222-2-22-2-20000000022-2200002-2-222-2-2200000000000000000000
χ482-2-2-2-22222-2-22-2-20000000022-220000-222-2-222-200000000000000000000
χ492-2-2-2-2222-222-22200000000-2-2-220000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ502-2-2-2-2222-222-22200000000-2-2-22000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ512-2-2-2-2222-222-2-2-200000000222-200002-2-22-222-200000000000000000000
χ522-2-2-2-2222-222-2-2-200000000222-20000-222-22-2-2200000000000000000000
χ53444-4-4-44-40000004-4-440000000000000000000000000000000000000000
χ54444-4-4-44-4000000-444-40000000000000000000000000000000000000000
χ5544-44-44-4-400004-400000000-440000000000000000000000000000000000
χ5644-44-44-4-40000-44000000004-40000000000000000000000000000000000
χ574-4-444-44-400000000004i−4i−4i4i000000000000000000000000000000000000
χ584-4-444-44-40000000000−4i4i4i−4i000000000000000000000000000000000000

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