Finite Group Databasebeta

← Group #33203

Character table — Group #33203

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size11111111222244444444444444444444444444448888888816161616
order1222222244442222444444444444444444444444888888884444
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ9111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ10111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ12111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-11
χ14111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1
χ15111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222-2-2-2-200002222-2-20000-2-20000-2-2220000000000000000
χ1822222222-2-2-2-2000022-2-2-2-2000022000022-2-20000000000000000
χ1922222222-2-2-2-20000-2-222220000-2-2000022-2-20000000000000000
χ2022222222-2-2-2-20000-2-2-2-2220000220000-2-2220000000000000000
χ21222-22-2-2-222-2-222-2-2002-20000002-222-2-200000000000000000000
χ22222-22-2-2-222-2-222-2-200-22000000-22-2-22200000000000000000000
χ23222-22-2-2-222-2-2-2-222002-20000002-2-2-22200000000000000000000
χ24222-22-2-2-222-2-2-2-22200-22000000-2222-2-200000000000000000000
χ25222-22-2-2-2-2-2220000002-2002i2i−2i−2i-22000000002i2i−2i−2i000000000000
χ26222-22-2-2-2-2-2220000002-200−2i−2i2i2i-2200000000−2i−2i2i2i000000000000
χ27222-22-2-2-2-2-222000000-22002i2i−2i−2i2-200000000−2i−2i2i2i000000000000
χ28222-22-2-2-2-2-222000000-2200−2i−2i2i2i2-2000000002i2i−2i−2i000000000000
χ2922-22-22-2-22-22-22-22-22-2002-22-22-200000000000000000000000000
χ3022-22-22-2-22-22-22-22-2-2200-22-22-2200000000000000000000000000
χ3122-22-22-2-22-22-2-22-222-2002-2-22-2200000000000000000000000000
χ3222-22-22-2-22-22-2-22-22-2200-222-22-200000000000000000000000000
χ3322-22-22-2-2-22-2200002-200-220000002i−2i2i−2i00002i−2i2i−2i000000000000
χ3422-22-22-2-2-22-2200002-200-22000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ3522-22-22-2-2-22-220000-22002-20000002i−2i2i−2i0000−2i2i−2i2i000000000000
χ3622-22-22-2-2-22-220000-22002-2000000−2i2i−2i2i00002i−2i2i−2i000000000000
χ3722-2-2-2-2222-2-222-2-2200000000000000002-22-22-2-22000000000000
χ3822-2-2-2-2222-2-222-2-220000000000000000-22-22-222-2000000000000
χ3922-2-2-2-2222-2-22-222-200000000000000002-22-2-222-2000000000000
χ4022-2-2-2-2222-2-22-222-20000000000000000-22-222-2-22000000000000
χ4122-2-2-2-222-222-200000000002i−2i−2i2i002i−2i−2i2i2-2-220000000000000000
χ4222-2-2-2-222-222-200000000002i−2i−2i2i00−2i2i2i−2i-222-20000000000000000
χ4322-2-2-2-222-222-20000000000−2i2i2i−2i002i−2i−2i2i-222-20000000000000000
χ4422-2-2-2-222-222-20000000000−2i2i2i−2i00−2i2i2i−2i2-2-220000000000000000
χ454-444-4-44-40000000000000000000000000000000022−220000000000
χ464-444-4-44-400000000000000000000000000000000−22220000000000
χ474-44-4-44-4400000000000000000000000000000000000022−22000000
χ484-44-4-44-44000000000000000000000000000000000000−2222000000
χ494-4-444-4-44000000000000000000000000000000000022−2200000000
χ504-4-444-4-440000000000000000000000000000000000−222200000000
χ514-4-4-4444-4000000000000000000000000000000000000002i2−2i20000
χ524-4-4-4444-400000000000000000000000000000000000000−2i22i20000

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