How was Harys Swyft able to consolidate power over the government so fast? The two Kettleblacks were arrested by Kevan, not Swyft, so why’d they stick around for Kevan to show up? Why’d Osfryd tolerate being stripped of command of the Goldcloaks without causing a Goldcloak civil war between himself and Humfrey Waters? And what was Osmund doing? Why didn’t Swyft remove him too? Wouldn’t the two have reason to skip town once they heard of Cersei’s arrest, like Owen Merryweather and Aurane Waters? And why did Qyburn tolerate being kicked off the Small Council? Why didn’t he move first and have Swyft ousted?

1. It was really Pycelle running the show, and Pycelle has decades of experience in royal government.  
2. Osmund couldn’t run, he was a member of the Kingsguard. Osfryd was either loyal to his brothers or lacked the initiative to go on his own.
3. Who’d fight for Osfryd? Osfryd’s a transparent henchman of a deposed queen, so he doesn’t have any political influence after Cersei’s arrested. (Add to that that his brother’s just confessed to treason, perjury, aatnd murdering the High Septon.) Osfryd is an incompetent and frankly a bit dim, and he has absolutely no connections to the Goldcloaks, having been named about two months prior. By contrast, Humfrey Waters is the former captain of the Dragon Gate – he’s got substantial experience in the City Watch and likely made more than his share of friends – and has the backing of the King, the Hand, and the Grand Maester.
4. Probably stuck guarding the King.
5. Pycelle probably considered him less of a threat b/c he’s just one knight.
6. See above.
7. What’s Qyburn’s alternative? He’s Cersei’s appointee, and Cersei’s just been arrested. He has no pull with Tommen, no one in royal government knows or trusts him.