Finite Group Databasebeta

← Group #9921

Character table — Group #9921

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222222224444444444444444888888882444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ81111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11
χ9222222222222-2-2-2-222-2-200000000000000000000
χ10222222222222-2-2-2-2-2-22200000000000000000000
χ1122222222-2-2-2-22-22-200000000000000000000200-2
χ1222222222-2-2-2-22-22-200000000000000000000-2002
χ1322222222-2-2-2-2-22-220000000000000000000002-20
χ1422222222-2-2-2-2-22-22000000000000000000000-220
χ15222-2-22-2-22-2-220000002i−2i00000000i2i2−i2−i222−2−20000
χ16222-2-22-2-22-2-220000002i−2i00000000−i2−i2i2i2−2−2220000
χ17222-2-22-2-22-2-22000000−2i2i00000000i2i2−i2−i2−2−2220000
χ18222-2-22-2-22-2-22000000−2i2i00000000−i2−i2i2i222−2−20000
χ192-2-2222-2-222-2-200002-20000000000i2−i2i2−i2i2−i2i2−i20000
χ202-2-2222-2-222-2-200002-20000000000−i2i2−i2i2−i2i2−i2i20000
χ212-2-2222-2-222-2-20000-220000000000i2−i2i2−i2−i2i2−i2i20000
χ222-2-2222-2-222-2-20000-220000000000−i2i2−i2i2i2−i2i2−i20000
χ232-2-2-2-22222-22-222-2-200000000000000002i−2i−2i2i0000
χ242-2-2-2-22222-22-222-2-20000000000000000−2i2i2i−2i0000
χ252-2-2-2-22222-22-2-2-2220000000000002-2-2200000000
χ262-2-2-2-22222-22-2-2-222000000000000-222-200000000
χ272-2-2-2-2222-22-222-2-220000000022-2-2000000000000
χ282-2-2-2-2222-22-222-2-2200000000-2-222000000000000
χ292-2-2-2-2222-22-22-222-2000022-2-20000000000000000
χ302-2-2-2-2222-22-22-222-20000-2-2220000000000000000
χ31444-4-44-4-4-444-40000000000000000000000000000
χ3244-44-4-44-40000000000002i−2i2i−2i0000000000000000
χ3344-44-4-44-4000000000000−2i2i−2i2i0000000000000000
χ3444-4-44-4-4400000000000000002i−2i2i−2i000000000000
χ3544-4-44-4-440000000000000000−2i2i−2i2i000000000000
χ364-444-4-4-4400000000000000002i−2i−2i2i000000000000
χ374-444-4-4-440000000000000000−2i2i2i−2i000000000000
χ384-44-44-44-40000000000002i−2i−2i2i0000000000000000
χ394-44-44-44-4000000000000−2i2i2i−2i0000000000000000
χ404-4-4444-4-4-4-4440000000000000000000000000000

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