7th hour won’t shut up

Title says it all. My 7th hour has 35 8th graders in it in a STEAM elective class. Students won’t stop talking no matter what I do - I assign seats and find out that Johnny actually is great friends with Timmy. My admin wants me to send students out to RTC (reflective thinking center) when they’re being disruptive, but what do I do when it’s 5+ kids in the class? Admin says to send that many kids, but then I get argued with by other students that state so and so was also talking and should go. I also can’t just pause what I’m doing 24/7 to take the time to fill out a minor referral slip that students have to have to go to RTC.

Any ideas for how to remedy this would be great. I’m tired of my last hour of the day consistently ruining my day.