Finite Group Databasebeta

← Group #10404

Character table — Group #10404

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
χ51111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222222-2-2-2-222-2-200000000000000000000
χ10222222222222-2-2-2-2-2-22200000000000000000000
χ1122222222-2-2-2-22-22-2000000000000000000002-200
χ1222222222-2-2-2-22-22-200000000000000000000-2200
χ1322222222-2-2-2-2-22-2200000000000000000000002-2
χ1422222222-2-2-2-2-22-220000000000000000000000-22
χ152222-2-2-2-22-2-220000002i−2i00000000i2i2−i2−i222−2−20000
χ162222-2-2-2-22-2-220000002i−2i00000000−i2−i2i2i2−2−2220000
χ172222-2-2-2-22-2-22000000−2i2i00000000i2i2−i2−i2−2−2220000
χ182222-2-2-2-22-2-22000000−2i2i00000000−i2−i2i2i222−2−20000
χ192-22-22-22-222-2-200002i−2i00000000002−22−2i2−i2i2−i20000
χ202-22-22-22-222-2-200002i−2i0000000000−22−22−i2i2−i2i20000
χ212-22-22-22-222-2-20000−2i2i00000000002−22−2−i2i2−i2i20000
χ222-22-22-22-222-2-20000−2i2i0000000000−22−22i2−i2i2−i20000
χ232-22-2-22-222-22-22-2-220000000000002i−2i−2i2i00000000
χ242-22-2-22-222-22-22-2-22000000000000−2i2i2i−2i00000000
χ252-22-2-22-222-22-2-222-200000000000000002i−2i−2i2i0000
χ262-22-2-22-222-22-2-222-20000000000000000−2i2i2i−2i0000
χ272-22-2-22-22-22-2222-2-200002i2i−2i−2i0000000000000000
χ282-22-2-22-22-22-2222-2-20000−2i−2i2i2i0000000000000000
χ292-22-2-22-22-22-22-2-2220000000022-2-2000000000000
χ302-22-2-22-22-22-22-2-22200000000-2-222000000000000
χ314444-4-4-4-4-444-40000000000000000000000000000
χ3244-4-44-4-440000000000002i−2i2i−2i0000000000000000
χ3344-4-44-4-44000000000000−2i2i−2i2i0000000000000000
χ3444-4-4-444-400000000000000002i−2i2i−2i000000000000
χ3544-4-4-444-40000000000000000−2i2i−2i2i000000000000
χ364-44-44-44-4-4-4440000000000000000000000000000
χ374-4-4444-4-400000000000000002i−2i−2i2i000000000000
χ384-4-4444-4-40000000000000000−2i2i2i−2i000000000000
χ394-4-44-4-4440000000000002-2-220000000000000000
χ404-4-44-4-444000000000000-222-20000000000000000

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