Finite Group Databasebeta

← Group #29142

Character table — Group #29142

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444444444448888888888888888224444444444
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
χ5111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ1211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ17222222222222-2-2-2-2-2-22222-2-2-2-222-2-20000000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000
χ1922222222-2-2-2-22222-2-22222-2-2-2-2-2-2220000000000000000000000000000
χ2022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000
χ212222-2-2-2-222-2-222-2-2220000-2-200000000000000000000002-22-200000000
χ222222-2-2-2-222-2-222-2-2220000-2-20000000000000000000000-22-2200000000
χ232222-2-2-2-222-2-2-2-222-2-2000022000000000000000000000000002i−2i2i−2i0000
χ242222-2-2-2-222-2-2-2-222-2-200002200000000000000000000000000−2i2i−2i2i0000
χ252222-2-2-2-2-2-22222-2-2-2-2000022000000000000000000000000002i−2i−2i2i0000
χ262222-2-2-2-2-2-22222-2-2-2-200002200000000000000000000000000−2i2i2i−2i0000
χ272222-2-2-2-2-2-222-2-222220000-2-200000000000000000000002-2-2200000000
χ282222-2-2-2-2-2-222-2-222220000-2-20000000000000000000000-222-200000000
χ2922-2-22-22-200002i−2i2i−2i002i2i−2i−2i0000002-2i2i2−i2−i222−2−222−2−2i2i2−i2−i2000000000000
χ3022-2-22-22-200002i−2i2i−2i002i2i−2i−2i0000002-2−i2−i2i2i2−2−222−2−222−i2−i2i2i2000000000000
χ3122-2-22-22-200002i−2i2i−2i00−2i−2i2i2i000000-22i2i2−i2−i222−2−2−2−222−i2−i2i2i2000000000000
χ3222-2-22-22-200002i−2i2i−2i00−2i−2i2i2i000000-22−i2−i2i2i2−2−22222−2−2i2i2−i2−i2000000000000
χ3322-2-22-22-20000−2i2i−2i2i002i2i−2i−2i000000-22i2i2−i2−i2−2−22222−2−2−i2−i2i2i2000000000000
χ3422-2-22-22-20000−2i2i−2i2i002i2i−2i−2i000000-22−i2−i2i2i222−2−2−2−222i2i2−i2−i2000000000000
χ3522-2-22-22-20000−2i2i−2i2i00−2i−2i2i2i0000002-2i2i2−i2−i2−2−222−2−222i2i2−i2−i2000000000000
χ3622-2-22-22-20000−2i2i−2i2i00−2i−2i2i2i0000002-2−i2−i2i2i222−2−222−2−2−i2−i2i2i2000000000000
χ372-22-22-2-222i−2i2i−2i0000002i−2i2i−2i00002-2002−22−2i2−i2i2−i2i2−i2i2−i22−22−2000000000000
χ382-22-22-2-222i−2i2i−2i0000002i−2i2i−2i00002-200−22−22−i2i2−i2i2−i2i2−i2i2−22−22000000000000
χ392-22-22-2-222i−2i2i−2i000000−2i2i−2i2i0000-22002−22−2i2−i2i2−i2−i2i2−i2i2−22−22000000000000
χ402-22-22-2-222i−2i2i−2i000000−2i2i−2i2i0000-2200−22−22−i2i2−i2i2i2−i2i2−i22−22−2000000000000
χ412-22-22-2-22−2i2i−2i2i0000002i−2i2i−2i0000-22002−22−2−i2i2−i2i2i2−i2i2−i2−22−22000000000000
χ422-22-22-2-22−2i2i−2i2i0000002i−2i2i−2i0000-2200−22−22i2−i2i2−i2−i2i2−i2i22−22−2000000000000
χ432-22-22-2-22−2i2i−2i2i000000−2i2i−2i2i00002-2002−22−2−i2i2−i2i2−i2i2−i2i22−22−2000000000000
χ442-22-22-2-22−2i2i−2i2i000000−2i2i−2i2i00002-200−22−22i2−i2i2−i2i2−i2i2−i2−22−22000000000000
χ452-2-2222-2-2000000002-22-2-222-22-2000000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ462-2-2222-2-2000000002-22-2-222-22-200000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ472-2-2222-2-2000000002-2-222-22-2-22000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ482-2-2222-2-2000000002-2-222-22-2-2200000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ492-2-2222-2-200000000-222-2-22-22-2200002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ502-2-2222-2-200000000-222-2-22-22-220000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ512-2-2222-2-200000000-22-222-2-222-200002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ522-2-2222-2-200000000-22-222-2-222-20000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ5344-4-4-44-4400004i−4i−4i4i000000000000000000000000000000000000000000
χ5444-4-4-44-440000−4i4i4i−4i000000000000000000000000000000000000000000
χ554-44-4-444-44i−4i−4i4i0000000000000000000000000000000000000000000000
χ564-44-4-444-4−4i4i4i−4i0000000000000000000000000000000000000000000000
χ574-4-44-4-444000000004-40000-440000000000000000000000000000000000
χ584-4-44-4-44400000000-4400004-40000000000000000000000000000000000

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