Finite Group Databasebeta

← Group #28613

Character table — Group #28613

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444444444448888888888888888222244444444
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
χ911111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ1211111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
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
χ17222222222222-2-2-2-2-2-22222-2-2-2-222-2-20000000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000
χ1922222222-2-2-2-2-2-222222222-2-2-2-2-2-2220000000000000000000000000000
χ2022222222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-20000000000000000000000000000
χ21222-2-22-2-200000022-2-22i2i−2i−2i0000002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000
χ22222-2-22-2-200000022-2-22i2i−2i−2i0000002i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000
χ23222-2-22-2-200000022-2-2−2i−2i2i2i000000−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000
χ24222-2-22-2-200000022-2-2−2i−2i2i2i000000−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000
χ25222-2-22-2-2000000-2-2222i2i−2i−2i000000−2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000
χ26222-2-22-2-2000000-2-2222i2i−2i−2i000000−2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000
χ27222-2-22-2-2000000-2-222−2i−2i2i2i0000002i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000
χ28222-2-22-2-2000000-2-222−2i−2i2i2i0000002i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000
χ2922-22-2-22-200002-200002i−2i2i−2i2-22i−2i000000002-22-200002i−2i2i−2i000000000000
χ3022-22-2-22-200002-200002i−2i2i−2i2-22i−2i00000000-22-220000−2i2i−2i2i000000000000
χ3122-22-2-22-200002-20000−2i2i−2i2i2-2−2i2i000000002-22-20000−2i2i−2i2i000000000000
χ3222-22-2-22-200002-20000−2i2i−2i2i2-2−2i2i00000000-22-2200002i−2i2i−2i000000000000
χ3322-22-2-22-20000-2200002i−2i2i−2i-22−2i2i00002-22-200002i−2i2i−2i0000000000000000
χ3422-22-2-22-20000-2200002i−2i2i−2i-22−2i2i0000-22-220000−2i2i−2i2i0000000000000000
χ3522-22-2-22-20000-220000−2i2i−2i2i-222i−2i00002-22-20000−2i2i−2i2i0000000000000000
χ3622-22-2-22-20000-220000−2i2i−2i2i-222i−2i0000-22-2200002i−2i2i−2i0000000000000000
χ3722-2-22-2-2222-2-20000002-2-2200002-200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000000000
χ3822-2-22-2-2222-2-20000002-2-2200002-200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000000000
χ3922-2-22-2-2222-2-2000000-222-20000-2200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000
χ4022-2-22-2-2222-2-2000000-222-20000-2200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
χ4122-2-22-2-22-2-2220000002-2-220000-2200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2000000000000
χ4222-2-22-2-22-2-2220000002-2-220000-2200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2000000000000
χ4322-2-22-2-22-2-222000000-222-200002-200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000
χ4422-2-22-2-22-2-222000000-222-200002-200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000
χ452-2-2-2222-22-22-2222-22-20000-2-2000000000000000000000000002i−2i2i−2i0000
χ462-2-2-2222-22-22-2222-22-20000-2-200000000000000000000000000−2i2i−2i2i0000
χ472-2-2-2222-22-22-2-2-2-22-2200002200000000000000000000002-22-200000000
χ482-2-2-2222-22-22-2-2-2-22-220000220000000000000000000000-22-2200000000
χ492-2-2-2222-2-22-2222-22-220000-2-2000000000000000000000000002i−2i−2i2i0000
χ502-2-2-2222-2-22-2222-22-220000-2-200000000000000000000000000−2i2i2i−2i0000
χ512-2-2-2222-2-22-22-2-22-22-200002200000000000000000000002-2-2200000000
χ522-2-2-2222-2-22-22-2-22-22-20000220000000000000000000000-222-200000000
χ534-4444-4-4-44-4-440000000000000000000000000000000000000000000000
χ544-4444-4-4-4-444-40000000000000000000000000000000000000000000000
χ554-44-4-4-44400004-400000000-440000000000000000000000000000000000
χ564-44-4-4-4440000-44000000004-40000000000000000000000000000000000
χ574-4-44-44-440000004-4-440000000000000000000000000000000000000000
χ584-4-44-44-44000000-444-40000000000000000000000000000000000000000

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