Finite Group Databasebeta

← Group #27232

Character table — Group #27232

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444222244444488888888244444444444888824
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-11111-1-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-1-111
χ71111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1
χ911111111-1-1-1-111111111-1-111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-111-11
χ1011111111-1-1-1-111111111-1-111-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-11-1
χ1111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-111-1-11-1-111-1-111-1-11-1
χ1211111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-11
χ1311111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-1-11111-1-1111-1
χ1411111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-11
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-11111-1-1-11
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11111111-1-1-1-1-1-1111-1
χ17222222222222-2-2-2-20000-2-2222200000000-20000-2000000000000
χ18222222222222-2-2-2-20000-2-2-2-2-2-200000000200002000000000000
χ1922222222-2-2-2-2-2-2-2-200002222-2-200000000-200002000000000000
χ2022222222-2-2-2-2-2-2-2-2000022-2-2220000000020000-2000000000000
χ2122-22-2-22-22i2i−2i−2i2-2-2200002i−2i0000000000000000002-22i−2i00000000
χ2222-22-2-22-22i2i−2i−2i2-2-2200002i−2i000000000000000000-22−2i2i00000000
χ2322-22-2-22-22i2i−2i−2i-222-222-2-2−2i2i0000000000000002i−2i0000000000000
χ2422-22-2-22-22i2i−2i−2i-222-2-2-222−2i2i000000000000000−2i2i0000000000000
χ2522-22-2-22-2−2i−2i2i2i2-2-220000−2i2i0000000000000000002-2−2i2i00000000
χ2622-22-2-22-2−2i−2i2i2i2-2-220000−2i2i000000000000000000-222i−2i00000000
χ2722-22-2-22-2−2i−2i2i2i-222-222-2-22i−2i000000000000000−2i2i0000000000000
χ2822-22-2-22-2−2i−2i2i2i-222-2-2-2222i−2i0000000000000002i−2i0000000000000
χ2922-2-222-2-22-22-200000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i20000000000002−22−200
χ3022-2-222-2-22-22-200000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i2000000000000−22−2200
χ3122-2-222-2-22-22-20000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2000000000000−22−2200
χ3222-2-222-2-22-22-20000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i20000000000002−22−200
χ3322-2-222-2-2-22-2200000000002i−2i−2i2ii2i2−i2−i2−i2−i2i2i2000000000000−222−200
χ3422-2-222-2-2-22-2200000000002i−2i−2i2i−i2−i2i2i2i2i2−i2−i20000000000002−2−2200
χ3522-2-222-2-2-22-220000000000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i20000000000002−2−2200
χ3622-2-222-2-2-22-220000000000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i2000000000000−222−200
χ372-22-22-22-2000022-2-22-22-20000002i−2i2i−2i000002i−2i000000000000000
χ382-22-22-22-2000022-2-22-22-2000000−2i2i−2i2i00000−2i2i000000000000000
χ392-22-22-22-2000022-2-2-22-220000002i−2i2i−2i00000−2i2i000000000000000
χ402-22-22-22-2000022-2-2-22-22000000−2i2i−2i2i000002i−2i000000000000000
χ412-2-2-2-22220000-22-222-2-2200000000002-22-200000000002-2000000
χ422-2-2-2-22220000-22-222-2-220000000000-22-220000000000-22000000
χ432-2-2-2-22220000-22-22-222-200000000002-22-20000000000-22000000
χ442-2-2-2-22220000-22-22-222-20000000000-22-2200000000002-2000000
χ45444-4-4-4-444i−4i−4i4i0000000000000000000000000000000000000000
χ46444-4-4-4-44−4i4i4i−4i0000000000000000000000000000000000000000
χ474-444-44-4-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ484-444-44-4-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ494-44-44-44-40000-4-444000000000000000000000000000000000000
χ504-4-444-4-4400000000000000000022−22−22220000000000000000000000
χ514-4-444-4-44000000000000000000−222222−220000000000000000000000
χ524-4-4-4-444400004-44-4000000000000000000000000000000000000

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