(Jagd)/LG 2 (1st Fighter Group of the 2nd Demonstration Wing) relocated to Lauenburg (now Lębork), near Bromberg, in support of the 4.

Unteroffizier (a non-commissioned officer) Geißhard claimed his first aerial victory, a PZL P.24 fighter, that day.

After several hours in Polish captivity, he escaped during the confusion caused by a German Junkers Ju 87 dive bomber attack.

JG 77 supported the German advance as part of Heeresgruppe Süd (Army Group South).

[8] Geißhardt claimed his first aerial victory on the Eastern Front, his twentieth overall, over a Tupolev SB-2 bomber at 05:52 on 23 June 1941.

[12] On 25 April 1942, Geißhardt became an "ace-in-a-day" for the second time which earned him his third and final named reference in the Wehrmachtbericht radio report.

On three separate combat missions in the area of Sloviansk, he was credited with seven aerial victories, three I-61s, three Lavochkin-Gorbunov-Gudkov LaGG-1 and one biplane of unknown type.

[15] Shortly after the Oak Leaves presentation, I. Gruppe under the command of Hauptmann Heinrich Bär was ordered from the Eastern Front to the Mediterranean theatre of operations.

On 29 June, I. Gruppe moved from Baherove, via Odessa, Băneasa, Sofia, Thessaloniki to Eleusis, where they arrived on 1 July.

[16] The unit was then ordered to Sicily where it arrived at the Comiso airfield on 5 July 1942 and was subordinated to the command of Jagdgeschwader 53 Pik-As (JG 53—53rd Fighter Wing).

[19] On a combat air patrol flown from 09:30 to 10:35 on 29 July, Geißhardt again claimed yet again a Spitfire shot down over Malta.

Gruppe (3rd group) of Jagdgeschwader 26 "Schlageter" (JG 26—26th Fighter Wing) from Major Josef Priller.

He was bleeding profusely from a wound in the abdomen but managed to make a smooth landing on the airfield at Sint-Denijs-Westrem, Belgium.

[29] Spick lists Geißhardt with 102 enemy aircraft shot down in 642 combat missions, of which one was claimed during the invasion of Poland, 14 during the Battle of France and Britain, 75 over the Eastern Front, nine in the Mediterranean theater and three over North Africa.