Finite Group Databasebeta

← Group #10322

Character table — Group #10322

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222222224444444444888888881616161616161616
order1222222222444422224444448888888824444444
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
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
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ92222222222-2-2-2-22222-2-2-2-2-2-20000000000000000
χ102222222222-2-2-2-2-2-2-2-2-2-222220000000000000000
χ11222222-2-2-2-222220000-2-2000022-2-2000000000000
χ12222222-2-2-2-222220000-2-20000-2-222000000000000
χ13222222-2-2-2-2-2-2-2-2000022000000002i2i−2i−2i00000000
χ14222222-2-2-2-2-2-2-2-200002200000000−2i−2i2i2i00000000
χ152222-2-22-22-222-2-200002-2000000000000002-20000
χ162222-2-22-22-222-2-200002-200000000000000-220000
χ172222-2-22-22-2-2-2220000-220000000000000000002-2
χ182222-2-22-22-2-2-2220000-22000000000000000000-22
χ192222-2-2-22-2222-2-20000-220000000000002-2000000
χ202222-2-2-22-2222-2-20000-22000000000000-22000000
χ212222-2-2-22-22-2-22200002-200000000000000002-200
χ222222-2-2-22-22-2-22200002-20000000000000000-2200
χ2322-2-22-22-2-22000022-2-2000000i2−i2i2−i2i2−i2i2−i200000000
χ2422-2-22-22-2-22000022-2-2000000−i2i2−i2i2−i2i2−i2i200000000
χ2522-2-22-22-2-220000-2-222000000i2−i2i2−i2−i2i2−i2i200000000
χ2622-2-22-22-2-220000-2-222000000−i2i2−i2i2i2−i2i2−i200000000
χ2722-2-22-2-222-200000000002i2i−2i−2ii2−i2−i2i22−2−2200000000
χ2822-2-22-2-222-200000000002i2i−2i−2i−i2i2i2−i2−222−200000000
χ2922-2-22-2-222-20000000000−2i−2i2i2ii2−i2−i2i2−222−200000000
χ3022-2-22-2-222-20000000000−2i−2i2i2i−i2i2i2−i22−2−2200000000
χ3144-4-4-4444-4-4000000000000000000000000000000
χ3244-4-4-44-4-444000000000000000000000000000000
χ334-44-4000000004i−4i2-22-2002i−2i2i−2i0000000000000000
χ344-44-4000000004i−4i-22-2200−2i2i−2i2i0000000000000000
χ354-44-400000000−4i4i2-22-200−2i2i−2i2i0000000000000000
χ364-44-400000000−4i4i-22-22002i−2i2i−2i0000000000000000
χ374-4-440000004-4002-2-22002-2-220000000000000000
χ384-4-440000004-400-222-200-222-20000000000000000
χ394-4-44000000-44002-2-2200-222-20000000000000000
χ404-4-44000000-4400-222-2002-2-220000000000000000

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