Do logos that are constructed using a symbol, title and slogan have a specific name?
I post this second answer using translated Spanish words, my apologies if any of them do not match the reader's usual vocabulary or dictionary. This is how I know the definition of a graphic representation as a company image.
There are five types:
Graphic representation of a word or set of words, real or not. In graphic design, besides the use of words there are three derivatives: monograms, acronyms, slogan.
Graphic representation made with the initials or other letters of the company name
Word graphic representation made by two or more different ones, using their abbreviations or different parts of each.
Phrase sometimes used as a corporate image halfway between company brand and advertising
Graphic representation with direct reference to a specific object
Graphic representation of abstract configurations.
Characters used to generate a greater approach between the company or its activities and a mass audience. Unlike pictograms, mascots have gestures, changes of position, changing personalities, or different graphic attitudes.
Uses combinations of two or more objects from those listed above but with a meaning for each component.
Obviously each of these elements admit combinations, between them or between each one of them. The answer to this question remains the same, the use of a symbol + word + slogan is a combination of two or more of the elements described.
According to 99designs there are seven types of logos*:
- Combination marks
A combination mark is a logo comprised of a combined wordmark or lettermark and a pictorial mark, abstract mark, or mascot.
The conclusion would be combination mark + slogan.
*These names usually vary according to the author or study center.