As you may be able to guess from the Cyrillic writing accompanying it, it was a Soviet Swastika -- used by the Red Army in its early days. It was worn as a shoulder patch by some Soviet troops. The Swastika too was a socialist symbol long before Hitler became influential. Prewar socialists (including some American socialists) used it on the grounds that it has two arms representing two entwined letters "S" (for "Socialist"). So even Hitler's symbolism was Leftist.
{There is an interesting comment on the graphic above
by a Russian speaker. He points out that the shoulder patch above was specifically designed for Kalmyk troops. My understanding that the Swastika was more widely used in the Red Army than among the Kalmyk troops alone but I have yet to find a graphic illustrating that. As Stalin would undoubtedly have done his best to erase all references to Soviet swastikas after the Nazi invasion, such a graphic may not be easily found.}
Hitler did however give the symbol his own twist when in
Mein Kampf he said
"Als nationale Sozialisten sehen wir in unserer Flagge unser Programm. Im Rot sehen wir den sozialen Gedanken der Bewegung, im Weiss den nationalistischen, im Hakenkreuz die Mission des Kampfes fuer den Sieg des arischen Menschen und zugleich mit ihm auch den Sieg des Gedankens der schaffenden Arbeit" ("As National socialists we see our programme in our flag. In red we see the social thoughts of the movement, in white the nationalist thoughts, in the hooked-cross the mission of fighting for the victory of Aryan man and at the same time the victory of the concept of creative work").
In German, not only the word "Socialism" (
Sozialismus) but also the word "Victory" (
Sieg) begins with an "S". So he said that the two letters "S" in the hooked-cross (swastika) also stood for the victory of Aryan man and the victory of the idea that the "worker" was a creative force: Nationalism plus socialism again, in other words.
{Technical note: Translating Hitler into English often runs up against the fact that he uses lots of German words that have no exact English equivalent (I comment, for instance, on
Volk and
Reich here). I have translated "schaffen" above as "create" (as does Ralph Manheim in his widely-used translation of
Mein Kampf -- p. 452) but it has the larger meaning of providing and accomplishing things in general. So Hitler was clearly using the word to stress the central importance of the working man. In English, "creative" is often used to refer to artistic activities. That is NOT the meaning of "schaffen"}
And by Hitler's time, antisemitism in particular, as well as racism in general, already had a long history on the Left. August Bebel was the founder of Germany's Social Democratic party (mainstream Leftists) and his best-known saying is that antisemitism is
der Sozialismus des bloeden Mannes (usually translated as "the socialism of fools") -- which implicitly recognized the antisemitism then prevalent on the Left. And Lenin himself alluded to the same phenomenon in saying that "it is not the Jews who are the enemies of the working people" but "the capitalists of all countries." For more on the socialist roots of antisemitism see Tyler Cowen's detailed survey under the heading
"The Socialist Roots of Modern Anti-Semitism"
It should be borne in mind, however, that antisemitism was pervasive in Europe of the 19th and early 20th century. Many conservatives were antisemitic too. Leftists were merely the most enthusistic practitioners of it. We have seen how virulent it was in Marx. Antisemitism among conservatives, by contrast, was usually not seen by them as a major concern. British Conservatives made the outspokenly Jewish Benjamin Disraeli their Prime Minister in the 19th century and the man who actually declared war on Hitler -- Neville Chamberlain -- himself had antisemitic views.
And Leftism is notoriously prone to "splits" so there were no doubt some Leftists who disavowed antisemitism on principled grounds. Lenin clearly criticized antisemitism on strategic grounds: It distracted from his class-war objectives. So were there also disinterested objections from Leftists? Such objectors are rather hard to find. The opposition to the persecution of the unfortunate Captain Alfred Dreyfus (who was Jewish) by Emile Zola in France is sometimes quoted but Zola was primarily an advocate of French naturalism, which was a form of physical determinism -- rather at odds with the usual Leftist view of man as a "blank slate". And the man who published Zola's famous challenge to the persecution of Dreyfus was Georges Clemenceau, who is these days most famous for his remark: "If a man is not a socialist in his youth, he has no heart. If he is not a conservative by the time he is 30 he has no head"
But, however you cut it, Hitler's antisemitism was of a piece with his Leftism, not a sign of "Rightism".
One more bit of iconography that may serve to reinforce that point:
[picture link broken, Russian Red Army doing the Nazi-Roman Salute]
The "Roman" salute is generally said to have been invented by Mussolini but Musso was a Marxist who knew Lenin well so it is not surprising that Stalin was influenced by Musso's ideas for a while.
The posters above come via a documentary film called
Soviet Story. See
here for the photos. The film has had a lot of praise from people who should know and it reinforces much that I say above and below here.