Finite Group Databasebeta

← Group #13484

Character table — Group #13484

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222222224444444444888888881616161616161616
order122222444488884444888888161616161616161624444488
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ92222222222-2-2-2-22222-2-2-2-2-2-20000000000000000
χ102222222222-2-2-2-2-2-2-2-2-2-222220000000000000000
χ112222-2-222-2-222220000-2-20000000000002-2000000
χ122222-2-222-2-222220000-2-2000000000000-22000000
χ132222-2-222-2-2-2-2-2-20000220000000000000000002i−2i
χ142222-2-222-2-2-2-2-2-2000022000000000000000000−2i2i
χ152222-2-2-2-222000000000022-2-222−2−222−2−200000000
χ162222-2-2-2-222000000000022-2-2−2−222−2−22200000000
χ172222-2-2-2-2220000000000-2-22222−2−2−2−22200000000
χ182222-2-2-2-2220000000000-2-222−2−22222−2−200000000
χ192-22-22-2-22-2222-2-200002-2000000002i−2i2i−2i00000000
χ202-22-22-2-22-2222-2-200002-200000000−2i2i−2i2i00000000
χ212-22-22-2-22-22-2-2220000-2200002i−2i2i−2i000000000000
χ222-22-22-2-22-22-2-2220000-220000−2i2i−2i2i000000000000
χ232-22-2-222-2-22000022-2-2000000i2−i2−i2i2i2−i2−i2i200000000
χ242-22-2-222-2-22000022-2-2000000−i2i2i2−i2−i2i2i2−i200000000
χ252-22-2-222-2-220000-2-222000000i2−i2−i2i2−i2i2i2−i200000000
χ262-22-2-222-2-220000-2-222000000−i2i2i2−i2i2−i2−i2i200000000
χ272-22-2-22-222-222-2-20000-2200000000000000002i−2i00
χ282-22-2-22-222-222-2-20000-220000000000000000−2i2i00
χ292-22-2-22-222-2-2-22200002-2000000000000002i−2i0000
χ302-22-2-22-222-2-2-22200002-200000000000000−2i2i0000
χ31444444-4-4-4-4000000000000000000000000000000
χ3244-4-400000022−2222−222-22-2000022−220000000000000000
χ3344-4-400000022−2222−22-22-220000−22220000000000000000
χ3444-4-4000000−2222−22222-22-20000−22220000000000000000
χ3544-4-4000000−2222−2222-22-22000022−220000000000000000
χ364-44-44-44-44-4000000000000000000000000000000
χ374-4-4400000022−22−22222-2-220022−22000000000000000000
χ384-4-4400000022−22−2222-222-200−2222000000000000000000
χ394-4-44000000−222222−222-2-2200−2222000000000000000000
χ404-4-44000000−222222−22-222-20022−22000000000000000000

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