I have taken the liberty of creating what may be a slightly more accurate map of the Peace of Cairo:
Dark Blue = The United Kingdom of Great Britain and Northern Ireland and its territories
Light Blue = Dominions of the British Commonwealth
Dark Green = The United States of America
Light Green = States under the protection/administration/influence of the US*
Dark Purple = Greater German Reich
Light Purple = States under the protection/administration/influence/occupation of or allied with Germany
Red = The Union of Soviet Socialist Republics and associated territories**
Yellow = The Empire of Japan and occupied territories
Black = Colonies of the Race
There are a few points here I ought to point out:
1) The British have taken over administration of every island colony or territory of France, Denmark, Spain, Portugal, Norway and the Netherlands in the Atlantic, Carribbean, Indian Ocean and Pacific. They have also occupied Svalbard, the Faroe Islands, Madagascar (it may be more likely here that the Vichy French simply accepted British protection), the Balearic Islands and Tierra del Fuego. Gibraltar, Malta, Cyprus, Ceylon, and all other island British territories have been retained. Tasmania is now under the direct administration of London, and either it or New Zealand hosts an Australian government-in-exile. Ireland remains a Dominion.
2) The United States jointly administers Greenland and Iceland with Canada. They have maintained all their island territories except for those lost to Japan before the arrival of the Race. Cuba, the Dominican Republic and Haiti are under American protection and influence. The USA has also occupied most of the island territories of the Latin American countries.
3) Germany has only annexed Luxembourg, Alsace-Lorraine, South Tyrol, Slovenia and Istria. Elsewhere in Europe, except for the British Isles, Race colonies and USSR, 'German' territory belongs to various puppet states or allied nations. These include formerly neutral Switzerland, Sweden, Liechtenstein, Monaco, the Vatican and San Marino. Zara has been annexed to the Independent State of Croatia. Albania is no longer an Italian territory. Greater Bulgaria now includes all of formerly Turkish Thrace, including Constantinople. Germany retains East Prussia - it is not now part of Race-held Poland.
4) The USSR retains occupation of Tannu Tuva (they probably annexed it) and the Baltic States (them too). They maintain a border with German East Prussia. Bessarabia remains Romanian. Karelia and Petsamo remain Finnish.
5) Japan does not have Indochina, but does retain every island it held, including Hainan, Jeju and the former American territories. Japan has occupied all of New Guinea and the Guadacanal. Its influence in Vich French Madagascar had been displaced by the British.
6) The Race hold very few islands - only those close to shore with negligible population or poor development have been claimed. Andorra is shown as a Race colony, though its status is unknown in the novel. The Race do not hold Turkish Thrace, which has been absorbed into Greater Bulgaria.
Thoughts?
*Canada really ought to be in this category, but as it is also a member of the Commonwealth, it is shown in light blue
**We are not told about the fate of Tannu Tuva, though it is safe to assume (or perhaps confirm?) that the Baltic States were annexed to the USSR post-war