Finite Group Databasebeta

← Group #28232

Character table — Group #28232

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888822444444444488884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-11111-1-11111-1-1-1-11-111-1-11-1-1-11111-1-11-11-1
χ1011111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1111-111-1-111-1-1-11-11
χ1111111111-1-1-1-11111-1-11111-1-1-1-1-1111-1-1-11-1-111-1-111-11-11
χ1211111111-1-1-1-11111-1-11111-1-1-1-1-11-1-111-1111-1-1-1-1111-11-1
χ1311111111-1-1-1-11111-1-1-1-1-1-111111-111111-1-1-1-1-1-1-1111-1-11
χ1411111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-11-11111-1-111-111-1
χ1511111111-1-1-1-11111-1-1-1-1-1-11111-111111-11-1-1-1-111-1-1-111-1
χ1611111111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-1-1-11111111-1-11-1-11
χ17222222222222-2-2-2-2-2-200000000220000-2-2000000000000
χ18222222222222-2-2-2-2-2-200000000-2-2000022000000000000
χ1922222222-2-2-2-2-2-2-2-222000000002-20000-22000000000000
χ2022222222-2-2-2-2-2-2-2-22200000000-2200002-2000000000000
χ21222-2-2-2-2200002-2-2200000022-2-2002i−2i2i−2i00000000000000
χ22222-2-2-2-2200002-2-2200000022-2-200−2i2i−2i2i00000000000000
χ23222-2-2-2-2200002-2-22000000-2-222002i−2i−2i2i00000000000000
χ24222-2-2-2-2200002-2-22000000-2-22200−2i2i2i−2i00000000000000
χ252-2-22-2-22222-2-222-2-22-2000000000000000000002i−2i2i−2i0000
χ262-2-22-2-22222-2-222-2-22-200000000000000000000−2i2i−2i2i0000
χ272-2-22-2-22222-2-2-2-222-2222-2-22-22-200000000000000000000
χ282-2-22-2-22222-2-2-2-222-22-2-222-22-2200000000000000000000
χ292-2-22-2-222-2-22222-2-2-22000000000000000000002i−2i−2i2i0000
χ302-2-22-2-222-2-22222-2-2-2200000000000000000000−2i2i2i−2i0000
χ312-2-22-2-222-2-222-2-2222-222-2-2-22-2200000000000000000000
χ322-2-22-2-222-2-222-2-2222-2-2-2222-22-200000000000000000000
χ332-2-2-222-220000-22-220000002-2-22000000002-22-200000000
χ342-2-2-222-220000-22-220000002-2-2200000000-22-2200000000
χ352-2-2-222-220000-22-22000000-222-2000000002-2-2200000000
χ362-2-2-222-220000-22-22000000-222-200000000-222-200000000
χ37444-4-4-4-440000-444-4000000000000000000000000000000
χ3844-444-4-4-44-44-40000000000000000000000000000000000
χ3944-444-4-4-4-44-440000000000000000000000000000000000
χ4044-4-4-444-400000000002i2−2i22i2−2i2000000000000000000000000
χ4144-4-4-444-40000000000−2i22i2−2i22i2000000000000000000000000
χ424-444-44-4-44-4-440000000000000000000000000000000000
χ434-444-44-4-4-444-40000000000000000000000000000000000
χ444-44-44-44-400000000002i2−2i2−2i22i2000000000000000000000000
χ454-44-44-44-40000000000−2i22i22i2−2i2000000000000000000000000
χ464-4-4-444-4400004-44-4000000000000000000000000000000

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