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While Toga had not interacted with Ochako and Tsuyu too much because of they being from different bands, with Ochako and Tsuyu being from the hero band, and Toga being a villain. Nevertheless, Toga shares an obsession towards Tsuyu and Uraraka, which one consisted in that Toga considered both girls as “cute”.
Ochako and Tsuyu are friends and classmates at U.A., while Himiko is one of the villains who attacks them in the Forest Training Camp arc. There, Tsuyu and Ochako are paired together for training, and they suddenly get attacked from behind by Toga. Tsuyu does her best for taking her away from Ochako to protect her, and after both were attacked, Toga retires from the place with some blood that had stole from Ochako.
The girls then reunite again in the Paranormal Liberation War Arc, when Toga found Ochako and lead her to a place where there were nobody, they started fighting again, and then Tsuyu appears right after Toga was disappearing, saving Ochako once more. Ochako then points out that Toga seemed a bit sad in her point of view. After the event, neither Tsuyu and Ochako with Toga aren't seen again yet.
But then, Yuga was revealed as the UA Traitor, Ochako and Izuku and Himiko is facing Himiko, who confesses her love for Izuku. After some fight, Tsuyu arrives. Izuku grabs onto Himiko with Blackwhip, who is further pushed away by Tsuyu. Ochako says she only got a grazed cut, but adds they need to get the knife back, since her blood is on it. Tsuyu continues that due to being so unpredictable, sending her to Okuto Island would’ve been the right call, even though the plan backfired. She then tells Izuku to leave now as it’s not the place to talk about romance, and to rely on Ochako, who has the most experience dealing with her. Ochako tells him to deal with Tomura, recalling their conversation from earlier, while Himiko prepares to get up saying that it’s so hard to live as her full of love. Ochako yells at Izuku to run as he speeds away.
Izuku blasts his way across the ocean, on Okuto Island, Ochako and Tsuyu note that Izuku’s gone, with the latter thinking about how she couldn't stand the thought of her friend's secret being revealed like that. Himiko tells the girls she’s had enough and that she’s ready to be who she wants to be, while caressing her pouch thinking about Jin. Himiko declares she has no need for Heroes, while Ochako declares she will also live the way that's right for her.
Himiko gets up and declares that even though she loved Izuku, Ochako and Tsuyu, she had enough
With Toga’s canon crush on Ochako, and possibly Tsuyu, it is rather a popular polyship, but rare in general due to Toga not having the chance to interact very positively with the other girls. The Hero/Villain trope is quite popular, aiding to this ships popularity. Many fans prefer the idea of a friendship between the three, especially if Toga was reformed. Sometimes, the fans either make an Hero! Himiko AU or Villain! Tsuyu and Villain! Ochako AU. There's currently 42+ works of them in AO3.
- OchaHimiDekuTsuyu refers to the ship between the three and Izuku Midoriya
- Togaraka refers to the ship between Himiko Toga and Ochako Uraraka
- TogaTsuyu refers to the ship between Tsuyu Asui and Himiko Toga
- TsuChako refers to the ship between Tsuyu Asui and Ochako Uraraka