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// blade
{{ Form::file('image['.$element->id.'][test]') }}

// роут
Route::post('panel/users/group-add', [
    'as'   => 'usersGroupAdd',
    'uses' => 'User\UserGroupController@groupAddPost'
]);

// контроллер
public function groupAddPost(UserGroupAddRequest $formRequest)
{
    UserGroup::create($formRequest->all());
    return redirect()->route('usersGroupAdd')->with('message', 'Группа успешно добавлена!')->with('class_message', 'success');
}

// UserGroupAddRequest 
public function rules()
{
    return [
        'name_group'      => 'required|unique:user_groups',
        'permitted_url.*' => 'integer',
        'image.*.test' => 'required'
    ];
}

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