Finite Group Databasebeta

← Group #8608

Character table — Group #8608

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order1222222222444488888888224444444488888888888844444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
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
χ711111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1
χ9111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111i−ii−ii−ii−i
χ10111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii
χ11111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i−ii−ii
χ12111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−ii−iii−ii−i
χ13111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1i−i−iii−i−ii
χ14111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1−iii−i−iii−i
χ15111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−i−ii−iii−i
χ16111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−ii−i−ii
χ172222222222-2-2-2-2000000002222-2-2-2-2-2-200000000000000000000
χ182222222222-2-2-2-200000000-2-2-2-222-2-22200000000000000000000
χ19222222-2-2-2-2-2-2-2-20000000022-2-22222-2-200000000000000000000
χ20222222-2-2-2-2-2-2-2-200000000-2-222-2-2222200000000000000000000
χ212222-2-222-2-222-2-2000000000000002-2002i2i−2i−2i00002i2i−2i−2i00000000
χ222222-2-222-2-222-2-2000000000000002-200−2i−2i2i2i0000−2i−2i2i2i00000000
χ232222-2-222-2-2-2-2222222-2-2-2-2000000-2200000022-2-2000000000000
χ242222-2-222-2-2-2-222-2-2-2-22222000000-22000000-2-222000000000000
χ252222-2-2-2-22222-2-200000000000000-22002i2i−2i−2i0000−2i−2i2i2i00000000
χ262222-2-2-2-22222-2-200000000000000-2200−2i−2i2i2i00002i2i−2i−2i00000000
χ272222-2-2-2-222-2-2222222-2-2-2-20000002-2000000-2-222000000000000
χ282222-2-2-2-222-2-222-2-2-2-222220000002-200000022-2-2000000000000
χ2922-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i200002i−2i002i−2i2−22−2i2−i2i2−i22−22−200000000
χ3022-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i20000−2i2i00−2i2i−22−22i2−i2i2−i2−22−2200000000
χ3122-2-22-22-22-20000−i2−i2i2i2−i2−i2i2i200002i−2i002i−2i−22−22−i2i2−i2i2−22−2200000000
χ3222-2-22-22-22-20000−i2−i2i2i2−i2−i2i2i20000−2i2i00−2i2i2−22−2−i2i2−i2i22−22−200000000
χ3322-2-22-2-22-220000i2i2−i2−i2i2i2−i2−i200002i−2i00−2i2i2−22−2−i2i2−i2i2−22−2200000000
χ3422-2-22-2-22-220000i2i2−i2−i2i2i2−i2−i20000−2i2i002i−2i−22−22−i2i2−i2i22−22−200000000
χ3522-2-22-2-22-220000−i2−i2i2i2−i2−i2i2i200002i−2i00−2i2i−22−22i2−i2i2−i22−22−200000000
χ3622-2-22-2-22-220000−i2−i2i2i2−i2−i2i2i20000−2i2i002i−2i2−22−2i2−i2i2−i2−22−2200000000
χ3722-2-2-222-2-220000i2i2−i2−i2−i2−i2i2i22-22-2000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
χ3822-2-2-222-2-220000i2i2−i2−i2−i2−i2i2i2-22-22000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ3922-2-2-222-2-220000−i2−i2i2i2i2i2−i2−i22-22-2000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ4022-2-2-222-2-220000−i2−i2i2i2i2i2−i2−i2-22-22000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ4122-2-2-22-222-20000i2i2−i2−i2−i2−i2i2i22-2-22000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ4222-2-2-22-222-20000i2i2−i2−i2−i2−i2i2i2-222-2000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ4322-2-2-22-222-20000−i2−i2i2i2i2i2−i2−i22-2-22000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ4422-2-2-22-222-20000−i2−i2i2i2i2i2−i2−i2-222-2000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ454-44-40000004i−4i002i2−2i22i2−2i222−2222−22000000000000000000000000000000
χ464-44-40000004i−4i00−2i22i2−2i22i2−2222−2222000000000000000000000000000000
χ474-44-4000000−4i4i002i2−2i22i2−2i2−2222−2222000000000000000000000000000000
χ484-44-4000000−4i4i00−2i22i2−2i22i222−2222−22000000000000000000000000000000
χ494-4-44000000004-400004i−4i−4i4i000000000000000000000000000000
χ504-4-44000000004-40000−4i4i4i−4i000000000000000000000000000000
χ514-4-4400000000-444-4-440000000000000000000000000000000000
χ524-4-4400000000-44-444-40000000000000000000000000000000000

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