Finite Group Databasebeta

← Group #28056

Character table — Group #28056

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888444444444488882444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11-1-11
χ511111111111111-1-111-1-11111-1-1-1-1-111-111111111-1-1-1-1-1-1
χ611111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111-1-111-1-1-1-1-1-11111-111-1-1-111-1-1-1-1111-1-11
χ811111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-111-1
χ9111111111111-1-111-1-11111111111-111-1-1-1-1-111-1-1-1-1-11-11
χ10111111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-11-11-1
χ11111111111111-1-111-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1
χ12111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-11-1
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-111-11-11
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1111111-1-111-1-1
χ1722222222-2-2-2-22222-2-2-2-200000000-200200000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000200-200000000000000
χ1922222222-2-2-2-2-2-22222-2-200000000200-200000000000000
χ2022222222-2-2-2-2-2-2-2-2222200000000-200200000000000000
χ21222-2-22-2-2-22-220000000022-2-2000000002i−2i2i−2i0000000000
χ22222-2-22-2-2-22-220000000022-2-200000000−2i2i−2i2i0000000000
χ23222-2-22-2-2-22-2200000000-2-222000000002i−2i−2i2i0000000000
χ24222-2-22-2-2-22-2200000000-2-22200000000−2i2i2i−2i0000000000
χ2522-22-2-22-2-2-222000000002i−2i2i−2i000002-2000002i−2i00000000
χ2622-22-2-22-2-2-222000000002i−2i2i−2i00000-2200000−2i2i00000000
χ2722-22-2-22-2-2-22200000000−2i2i−2i2i000002-200000−2i2i00000000
χ2822-22-2-22-2-2-22200000000−2i2i−2i2i00000-22000002i−2i00000000
χ2922-2-22-2-222-2-222i−2i002i−2i002i−2i−2i2i000000000000002-2000000
χ3022-2-22-2-222-2-222i−2i002i−2i00−2i2i2i−2i00000000000000-22000000
χ3122-2-22-2-222-2-22−2i2i00−2i2i002i−2i−2i2i00000000000000-22000000
χ3222-2-22-2-222-2-22−2i2i00−2i2i00−2i2i2i−2i000000000000002-2000000
χ3322-2-22-2-22-222-22i−2i00−2i2i00000022-2-20000000000002i−2i0000
χ3422-2-22-2-22-222-22i−2i00−2i2i000000-2-222000000000000−2i2i0000
χ3522-2-22-2-22-222-2−2i2i002i−2i00000022-2-2000000000000−2i2i0000
χ3622-2-22-2-22-222-2−2i2i002i−2i000000-2-2220000000000002i−2i0000
χ37444-4-44-4-44-44-40000000000000000000000000000000000
χ3844-44-4-44-444-4-40000000000000000000000000000000000
χ394-444-4-4-440000004i−4i000000000000000000000000000000
χ404-444-4-4-44000000−4i4i000000000000000000000000000000
χ414-44-44-44-400000000000000002i2−2i22i2−2i2000000000000000000
χ424-44-44-44-40000000000000000−2i22i2−2i22i2000000000000000000
χ434-4-4444-4-400000000000000002i2−2i2−2i22i2000000000000000000
χ444-4-4444-4-40000000000000000−2i22i22i2−2i2000000000000000000
χ454-4-4-4-444400000000004-400000000000000000000000000
χ464-4-4-4-44440000000000-4400000000000000000000000000

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