Finite Group Databasebeta

← Group #33122

Character table — Group #33122

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order1222222244444488888888244444444488888888888824448888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-11-11-1
χ10111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11-11-11
χ11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1-11-11
χ12111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-111-11-1
χ13111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-11
χ14111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-111-1
χ15111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-11-111-1
χ16111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-111-11-1-11
χ1722222222-2-2-2-2-2-2000000002-20000000000002i2i−2i−2i2i2i−2i−2i00000000
χ1822222222-2-2-2-2-2-2000000002-2000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ19222222-2-222-2-2-2-200000000-220000000000002i2i−2i−2i−2i−2i2i2i00000000
χ20222222-2-222-2-2-2-200000000-22000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ212222-2-2222222-2-222222222-2-200000000-2-2-2-20000000000000000
χ222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000
χ232222-2-222-2-2-2-22200000000-2222-2-222-2-200000000000000000000
χ242222-2-222-2-2-2-22200000000-22-2-222-2-22200000000000000000000
χ252222-2-2-2-222-2-222000000002-222-2-2-2-22200000000000000000000
χ262222-2-2-2-222-2-222000000002-2-2-22222-2-200000000000000000000
χ272222-2-2-2-2-2-222-2-22222-2-2-2-22200000000-2-2220000000000000000
χ282222-2-2-2-2-2-222-2-2-2-2-2-22222220000000022-2-20000000000000000
χ2922-2-22-200002-22-2000022-2-20000002i−2i2i−2i002-22i−2i2i−2i000000000000
χ3022-2-22-200002-22-2000022-2-2000000−2i2i−2i2i002-2−2i2i−2i2i000000000000
χ3122-2-22-200002-22-20000-2-2220000002i−2i2i−2i00-22−2i2i−2i2i000000000000
χ3222-2-22-200002-22-20000-2-222000000−2i2i−2i2i00-222i−2i2i−2i000000000000
χ3322-2-22-20000-22-222i2i−2i−2i0000002i−2i2i−2i00002i−2i002-2-22000000000000
χ3422-2-22-20000-22-222i2i−2i−2i000000−2i2i−2i2i00002i−2i00-222-2000000000000
χ3522-2-22-20000-22-22−2i−2i2i2i0000002i−2i2i−2i0000−2i2i00-222-2000000000000
χ3622-2-22-20000-22-22−2i−2i2i2i000000−2i2i−2i2i0000−2i2i002-2-22000000000000
χ3722-2-2-2200002-2-22000022-2-2002i−2i−2i2i000000-2200002i−2i2i−2i00000000
χ3822-2-2-2200002-2-22000022-2-200−2i2i2i−2i000000-220000−2i2i−2i2i00000000
χ3922-2-2-2200002-2-220000-2-222002i−2i−2i2i0000002-20000−2i2i−2i2i00000000
χ4022-2-2-2200002-2-220000-2-22200−2i2i2i−2i0000002-200002i−2i2i−2i00000000
χ4122-2-2-220000-222-22i2i−2i−2i00000000002i−2i−2i2i−2i2i0000002-2-2200000000
χ4222-2-2-220000-222-22i2i−2i−2i0000000000−2i2i2i−2i−2i2i000000-222-200000000
χ4322-2-2-220000-222-2−2i−2i2i2i00000000002i−2i−2i2i2i−2i000000-222-200000000
χ4422-2-2-220000-222-2−2i−2i2i2i0000000000−2i2i2i−2i2i−2i0000002-2-2200000000
χ454-44-400004i−4i000022−2222−222i2−2i22i2−2i2000000000000000000000000000000
χ464-44-400004i−4i0000−2222−2222−2i22i2−2i22i2000000000000000000000000000000
χ474-44-40000−4i4i000022−2222−22−2i22i2−2i22i2000000000000000000000000000000
χ484-44-40000−4i4i0000−2222−22222i2−2i22i2−2i2000000000000000000000000000000
χ494-4-44004-40000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ504-4-44004-4000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ514-4-4400-440000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ524-4-4400-44000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000

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