Finite Group Databasebeta

← Group #32947

Character table — Group #32947

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size112222222224444444444444444444444444441616161616161616
order1222244448822222244444488888888888888824444444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-111
χ711111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1
χ10111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11
χ11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-11
χ12111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1
χ13111111111-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-111111-1-111-1-11
χ14111111111-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-111-1-111-1
χ15111111111-1-1-1-1-1-111-1-1-1-111-1-1-111111111-1-1-1-11-1-11-111-1
χ16111111111-1-1-1-1-1-111-1-1-1-111-1-1-111111111-1-1-1-1-111-11-1-11
χ1722222-2-2-2-2002-22-22-22-22-22-200000000000000000000000
χ1822222-2-2-2-2002-2-22-222-2-22-2200000000000000000000000
χ1922222-2-2-2-200-222-2-22-222-2-2200000000000000000000000
χ2022222-2-2-2-200-22-222-2-22-222-200000000000000000000000
χ21222-2-222-2-2000000220000-2-20002i2i−2i−2i2i2i−2i−2i000000000000
χ22222-2-222-2-2000000220000-2-2000−2i−2i2i2i−2i−2i2i2i000000000000
χ23222-2-222-2-2000000-2-20000220002i2i−2i−2i−2i−2i2i2i000000000000
χ24222-2-222-2-2000000-2-2000022000−2i−2i2i2i2i2i−2i−2i000000000000
χ25222-2-2-2-2222200002-20000-222-2-20000000022-2-200000000
χ26222-2-2-2-222220000-2200002-22-2-200000000-2-22200000000
χ27222-2-2-2-222-2-200002-20000-22-22200000000-2-22200000000
χ28222-2-2-2-222-2-20000-2200002-2-2220000000022-2-200000000
χ2922-22-22-22-20000220000-2-2000002i−2i2i−2i00002i−2i2i−2i00000000
χ3022-22-22-22-20000220000-2-200000−2i2i−2i2i0000−2i2i−2i2i00000000
χ3122-22-22-22-20000-2-2000022000002i−2i2i−2i0000−2i2i−2i2i00000000
χ3222-22-22-22-20000-2-200002200000−2i2i−2i2i00002i−2i2i−2i00000000
χ3322-22-2-22-2222002-20000-2200-22-200002-22-2000000000000
χ3422-22-2-22-222200-2200002-200-22-20000-22-22000000000000
χ3522-22-2-22-22-2-2002-20000-22002-220000-22-22000000000000
χ3622-22-2-22-22-2-200-2200002-2002-2200002-22-2000000000000
χ3722-2-222-2-22222-20000-220000-2-222-2-220000000000000000
χ3822-2-222-2-2222-2200002-20000-2-22-222-20000000000000000
χ3922-2-222-2-22-2-22-20000-22000022-2-222-20000000000000000
χ4022-2-222-2-22-2-2-2200002-2000022-22-2-220000000000000000
χ4122-2-22-222-200220000-2-2000000000002i−2i−2i2i2i−2i−2i2i00000000
χ4222-2-22-222-200220000-2-200000000000−2i2i2i−2i−2i2i2i−2i00000000
χ4322-2-22-222-200-2-2000022000000000002i−2i−2i2i−2i2i2i−2i00000000
χ4422-2-22-222-200-2-200002200000000000−2i2i2i−2i2i−2i−2i2i00000000
χ458-800000004i2−4i200000000000000000000000000000000000
χ468-80000000−4i24i200000000000000000000000000000000000

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