diff --git a/doc/opengl-mapping.dox b/doc/opengl-mapping.dox
index deba97934..78b4f62ea 100644
--- a/doc/opengl-mapping.dox
+++ b/doc/opengl-mapping.dox
@@ -431,9 +431,9 @@ OpenGL function                         | Matching API
 @def_gl{MAX_COMPUTE_SHARED_MEMORY_SIZE} | @ref AbstractShaderProgram::maxComputeSharedMemorySize()
 @def_gl_extension{MAX_COMPUTE_VARIABLE_GROUP_INVOCATIONS,ARB,compute_variable_group_size} | |
 @def_gl_extension{MAX_COMPUTE_VARIABLE_GROUP_SIZE,ARB,compute_variable_group_size} | |
-@def_gl{MAX_COMPUTE_WORK_GROUP_COUNT}   | |
+@def_gl{MAX_COMPUTE_WORK_GROUP_COUNT}   | @ref AbstractShaderProgram::maxComputeWorkGroupCount()
 @def_gl{MAX_COMPUTE_WORK_GROUP_INVOCATIONS} | @ref AbstractShaderProgram::maxComputeWorkGroupInvocations()
-@def_gl{MAX_COMPUTE_WORK_GROUP_SIZE}    | |
+@def_gl{MAX_COMPUTE_WORK_GROUP_SIZE}    | @ref AbstractShaderProgram::maxComputeWorkGroupSize()
 @def_gl{MAX_CULL_DISTANCES}             | |
 @def_gl{MAX_DEBUG_LOGGED_MESSAGES}      | @ref DebugOutput::maxLoggedMessages()
 @def_gl{MAX_DEBUG_MESSAGE_LENGTH}       | @ref DebugOutput::maxMessageLength()
diff --git a/src/Magnum/AbstractShaderProgram.cpp b/src/Magnum/AbstractShaderProgram.cpp
index 933c1b47e..4ff1b1cd2 100644
--- a/src/Magnum/AbstractShaderProgram.cpp
+++ b/src/Magnum/AbstractShaderProgram.cpp
@@ -108,6 +108,44 @@ Int AbstractShaderProgram::maxComputeWorkGroupInvocations() {
     return value;
 }
 
+Vector3i AbstractShaderProgram::maxComputeWorkGroupCount() {
+    #ifndef MAGNUM_TARGET_GLES
+    if(!Context::current().isExtensionSupported<Extensions::GL::ARB::compute_shader>())
+    #else
+    if(!Context::current().isVersionSupported(Version::GLES310))
+    #endif
+        return {};
+
+    Vector3i& value = Context::current().state().shaderProgram->maxComputeWorkGroupCount;
+
+    if(value.isZero()) {
+        glGetIntegeri_v(GL_MAX_COMPUTE_WORK_GROUP_COUNT, 0, &value.x());
+        glGetIntegeri_v(GL_MAX_COMPUTE_WORK_GROUP_COUNT, 1, &value.y());
+        glGetIntegeri_v(GL_MAX_COMPUTE_WORK_GROUP_COUNT, 2, &value.z());
+    }
+
+    return value;
+}
+
+Vector3i AbstractShaderProgram::maxComputeWorkGroupSize() {
+    #ifndef MAGNUM_TARGET_GLES
+    if(!Context::current().isExtensionSupported<Extensions::GL::ARB::compute_shader>())
+    #else
+    if(!Context::current().isVersionSupported(Version::GLES310))
+    #endif
+        return {};
+
+    Vector3i& value = Context::current().state().shaderProgram->maxComputeWorkGroupSize;
+
+    if(value.isZero()) {
+        glGetIntegeri_v(GL_MAX_COMPUTE_WORK_GROUP_SIZE, 0, &value.x());
+        glGetIntegeri_v(GL_MAX_COMPUTE_WORK_GROUP_SIZE, 1, &value.y());
+        glGetIntegeri_v(GL_MAX_COMPUTE_WORK_GROUP_SIZE, 2, &value.z());
+    }
+
+    return value;
+}
+
 Int AbstractShaderProgram::maxImageUnits() {
     #ifndef MAGNUM_TARGET_GLES
     if(!Context::current().isExtensionSupported<Extensions::GL::ARB::shader_image_load_store>())
diff --git a/src/Magnum/AbstractShaderProgram.h b/src/Magnum/AbstractShaderProgram.h
index 6d75f1783..4769aa735 100644
--- a/src/Magnum/AbstractShaderProgram.h
+++ b/src/Magnum/AbstractShaderProgram.h
@@ -539,7 +539,31 @@ class MAGNUM_EXPORT AbstractShaderProgram: public AbstractObject {
          */
         static Int maxComputeWorkGroupInvocations();
 
-        /** @todo MAX_COMPUTE_WORK_GROUP_COUNT, MAX_COMPUTE_WORK_GROUP_SIZE */
+        /**
+         * @brief Max supported compute work group count
+         *
+         * The result is cached, repeated queries don't result in repeated
+         * OpenGL calls. If neither extension @extension{ARB,compute_shader}
+         * (part of OpenGL 4.3) nor OpenGL ES 3.1 is available, returns zero
+         * vector.
+         * @see @fn_gl{Get} with @def_gl{MAX_COMPUTE_WORK_GROUP_COUNT}
+         * @requires_gles30 Not defined in OpenGL ES 2.0.
+         * @requires_gles Compute shaders are not available in WebGL.
+         */
+        static Vector3i maxComputeWorkGroupCount();
+
+        /**
+         * @brief Max supported compute work group size
+         *
+         * The result is cached, repeated queries don't result in repeated
+         * OpenGL calls. If neither extension @extension{ARB,compute_shader}
+         * (part of OpenGL 4.3) nor OpenGL ES 3.1 is available, returns zero
+         * vector.
+         * @see @fn_gl{Get} with @def_gl{MAX_COMPUTE_WORK_GROUP_SIZE}
+         * @requires_gles30 Not defined in OpenGL ES 2.0.
+         * @requires_gles Compute shaders are not available in WebGL.
+         */
+        static Vector3i maxComputeWorkGroupSize();
 
         /**
          * @brief Max supported image unit count
diff --git a/src/Magnum/Implementation/ShaderProgramState.h b/src/Magnum/Implementation/ShaderProgramState.h
index 9c0ceba56..cc3c3cb7d 100644
--- a/src/Magnum/Implementation/ShaderProgramState.h
+++ b/src/Magnum/Implementation/ShaderProgramState.h
@@ -30,6 +30,7 @@
 
 #include "Magnum/Magnum.h"
 #include "Magnum/OpenGL.h"
+#include "Magnum/Math/Vector3.h"
 
 #ifdef _MSC_VER
 /* Otherwise the member function pointers will have different size based on
@@ -101,6 +102,8 @@ struct ShaderProgramState {
         maxImageUnits,
         maxCombinedShaderOutputResources,
         maxUniformLocations;
+    Vector3i maxComputeWorkGroupCount,
+        maxComputeWorkGroupSize;
     #endif
     GLint minTexelOffset,
         maxTexelOffset,
diff --git a/src/Magnum/Platform/magnum-info.cpp b/src/Magnum/Platform/magnum-info.cpp
index c3c8428af..f75c13093 100644
--- a/src/Magnum/Platform/magnum-info.cpp
+++ b/src/Magnum/Platform/magnum-info.cpp
@@ -310,7 +310,7 @@ MagnumInfo::MagnumInfo(const Arguments& arguments): Platform::WindowlessApplicat
     /* Limits and implementation-defined values */
     #define _h(val) Debug() << "\n " << Extensions::GL::val::string() + std::string(":");
     #define _l(val) Debug() << "   " << #val << (sizeof(#val) > 64 ? "\n" + std::string(68, ' ') : std::string(64 - sizeof(#val), ' ')) << val;
-    #define _lvec(val) Debug() << "   " << #val << (sizeof(#val) > 48 ? "\n" + std::string(52, ' ') : std::string(48 - sizeof(#val), ' ')) << val;
+    #define _lvec(val) Debug() << "   " << #val << (sizeof(#val) > 42 ? "\n" + std::string(46, ' ') : std::string(42 - sizeof(#val), ' ')) << val;
 
     Debug() << "Limits and implementation-defined values:";
     _lvec(AbstractFramebuffer::maxViewportSize())
@@ -374,6 +374,8 @@ MagnumInfo::MagnumInfo(const Arguments& arguments): Platform::WindowlessApplicat
 
         _l(AbstractShaderProgram::maxComputeSharedMemorySize())
         _l(AbstractShaderProgram::maxComputeWorkGroupInvocations())
+        _lvec(AbstractShaderProgram::maxComputeWorkGroupCount())
+        _lvec(AbstractShaderProgram::maxComputeWorkGroupSize())
     }
 
     #ifndef MAGNUM_TARGET_GLES