The G is only a loose categorisation until 4G
The use of the G terminology is only a way of categorising networks by eras of technology. 4G was the first time it began to be used as a trademark or shorthand for a single protocol.
1G just means any mobile phone service that was capable of carrying out basic, automated cellular voice services.
* NMT (Nordic Mobile Telephone), which was used in a lot of European countries and even supported roaming.
* AMPS - Advanced Mobile Phone System, used in North America.
* TACS, which is basically a Europeanised / Internationalised version of AMPS used in the UK, Ireland, Italy, Japan and several others. (This was extended to support roaming between Vodafone UK and Eircell in Ireland, by writing special software for the Ericsson AXE system both networks used, using techniques inspired by NMT.)
* JTACS a fork of TACS used in Japan.
* NTT (later NTT Hicap) - Japan.
* ‘C-Netz’ or C-450 used in Germany, Portugal and South Africa
* RTMS only used in Italy by SIP
* Radiocom 2000 - France Telecom (Iteneris GSM replaced it)
2G:
* GSM - the original version - TDMA based.
* D-AMPS - Digital AMPS, based on TDMA tech not unlike GSM, but with a more limited set of features, designed really to directly replace AMPS.
* CDMAone
* PDC - Japan
* Personal Handy-phone System (PHS) - Japan, Thailand and China (Microcells similar to DECT).
* iDEN - a Motorola developed platform also could communicate directly device-to-device, independently of cellular services. It was used in the US, Brazil, Argentina and Mexico by Nextel and rolled out by quite a few carriers in the americas, parts of Asia and Israel.
WiDEN was its later 2.5G tech. It was dropped by operators in favour of CDMA 2000 mostly.
3G:
* UMTS standards by 3GPP (the 3G successor of both GSM and PCD) which would generally be referred to as ‘3G’ and tends to have largely assumed that term. However it is not the only 3G tech:
* CDMA 2000 a successor or cdmaOne
* Mobile WiMAX was deployed as an upper 3G+ data enhancement and even almost 4G tech, but never really took off as a mobile standard. WiMAX found more use in fixed wireless networks eg rural broadband.
4G became synonymous almost exclusively with LTE (the next step in the GSM family) and 5G similarly became the general term for 5G NR standard we all use, and both can almost always be assumed to refer to those.
In general cellular networks that adopted niche standards all had their fingers burnt with expensive vendor lock ins, being left with dead end tech, limited handset ranges and expensive upgrade paths without backwards compatibility etc, so you see standardisation rapidly spreading from GSM > UMTS > LTE > 5G NR
You’re not really going to see deployment of incompatible tech anymore as nobody’s going to be stuck on the mobile equivalent of BetaMax…