Finite Group Databasebeta

← Group #27466

Character table — Group #27466

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888244444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111
χ51111111111111111-1-111-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-1
χ61111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-111111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-111-11
χ10111111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1111111-1-11-1
χ11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-1111-1
χ12111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-1-11
χ13111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-11-1-11111-1-1-1-111-1-11-1
χ14111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-11-1-111-1-1-1-111-1-111-11
χ15111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-11
χ16111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-11111-1-1-1-1111-1
χ1722222222-22222-2-2-222-2-222000000000000-2-20000000000000000
χ1822222222-22222-2-2-2-2-2-2-2-2-2000000000000220000000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-2000000000000-220000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-222220000000000002-20000000000000000
χ212222-2-2-2-2-200002-220000002i2i−2i−2i22-2-200000000002i−2i0000000000
χ222222-2-2-2-2-200002-220000002i2i−2i−2i-2-2220000000000−2i2i0000000000
χ232222-2-2-2-2-200002-22000000−2i−2i2i2i22-2-20000000000−2i2i0000000000
χ242222-2-2-2-2-200002-22000000−2i−2i2i2i-2-22200000000002i−2i0000000000
χ2522-2-222-2-2-20000-2220000002i−2i2i−2i000022-2-200000000002i−2i000000
χ2622-2-222-2-2-20000-2220000002i−2i2i−2i0000-2-2220000000000−2i2i000000
χ2722-2-222-2-2-20000-222000000−2i2i−2i2i000022-2-20000000000−2i2i000000
χ2822-2-222-2-2-20000-222000000−2i2i−2i2i0000-2-22200000000002i−2i000000
χ2922-2-2-2-22222i2i−2i−2i-2-22002i−2i002-2-2200000000002i−2i00000000000000
χ3022-2-2-2-22222i2i−2i−2i-2-22002i−2i00-222-20000000000−2i2i00000000000000
χ3122-2-2-2-2222−2i−2i2i2i-2-2200−2i2i002-2-220000000000−2i2i00000000000000
χ3222-2-2-2-2222−2i−2i2i2i-2-2200−2i2i00-222-200000000002i−2i00000000000000
χ3322-2-2-2-222-22i2i−2i−2i22-200−2i2i0000000000000000002i−2i002-200000000
χ3422-2-2-2-222-22i2i−2i−2i22-200−2i2i000000000000000000−2i2i00-2200000000
χ3522-2-2-2-222-2−2i−2i2i2i22-2002i−2i0000000000000000002i−2i00-2200000000
χ3622-2-2-2-222-2−2i−2i2i2i22-2002i−2i000000000000000000−2i2i002-200000000
χ372-22-22-22-202-22-20002i−2i002i−2i0000i2−i2i2−i2i2−i2i2−i20000000000002−22−200
χ382-22-22-22-202-22-20002i−2i002i−2i0000−i2i2−i2i2−i2i2−i2i2000000000000−22−2200
χ392-22-22-22-202-22-2000−2i2i00−2i2i0000i2−i2i2−i2i2−i2i2−i2000000000000−22−2200
χ402-22-22-22-202-22-2000−2i2i00−2i2i0000−i2i2−i2i2−i2i2−i2i20000000000002−22−200
χ412-22-22-22-20-22-220002i−2i00−2i2i0000i2−i2i2−i2−i2i2−i2i2000000000000−222−200
χ422-22-22-22-20-22-220002i−2i00−2i2i0000−i2i2−i2i2i2−i2i2−i20000000000002−2−2200
χ432-22-22-22-20-22-22000−2i2i002i−2i0000i2−i2i2−i2−i2i2−i2i20000000000002−2−2200
χ442-22-22-22-20-22-22000−2i2i002i−2i0000−i2i2−i2i2i2−i2i2−i2000000000000−222−200
χ454444-4-4-4-440000-44-4000000000000000000000000000000000000
χ4644-4-444-4-4400004-4-4000000000000000000000000000000000000
χ474-44-4-44-440000000000000000002i2−2i2−2i22i20000000000000000000000
χ484-44-4-44-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ494-4-444-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ504-4-444-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ514-4-44-444-404i−4i−4i4i000000000000000000000000000000000000000
χ524-4-44-444-40−4i4i4i−4i000000000000000000000000000000000000000

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