Theresa May is losing control of her cabinet. As ministers jostle to succeed her, the cabinet appears to have split three ways.

Here John Rentoul looks at the factions within the government, the bookmakers on ministers taking the top job and the percentage of support they have among Conservative Party members.

The Brexity bunch

Michael Gove, environment secretary

Odds on becoming PM: 12/1 Party membership support: 4%

Did a better job than the PM of selling her deal in the Commons this week. Can’t risk plotting after doing in his friend David Cameron and his ally Boris Johnson in quick succession. But reported to be trying to persuade Penny Mordaunt to run on a joint ticket – even though she still has her eye on the top job for herself.

Penny Mordaunt, international development secretary

Odds: 25/1 Support: 1%

Seen as the hardest-line Brexiteer in the cabinet, more so than Gove, but a weak performer on TV.

Possible supporters:

Liam Fox, Chris Grayling, Stephen Barclay, Natalie Evans (Baroness Evans, leader of the Lords)

The cabinet ministers who voted Leave in 2016; probably happiest in theory with Gove as leader, but could live with Javid or Hunt.

The pragmatic mainstreamers

Sajid Javid, home secretary

Odds: 13/2 Support: 8%

Attracting hostility as the cabinet frontrunner. An enemy told journalists he referred to himself in the third person as The Saj; and Philip Hammond, the chancellor, caught him out in cabinet by pointing out a no-deal Brexit, which Javid had hinted at supporting, would stop him sending migrants back across the Channel.

Jeremy Hunt, foreign secretary

Odds: 9/1 Support: 6%

The other candidate often named by mainstream Tory MPs and ministers, he too has been mocked for his obvious ambition, comparing the European Union to the Soviet Union at party conference.

Gavin Williamson, defence secretary

Odds: 50/1 Support: less than 1%

Another minister whose ambition has been embarrassingly obvious, but in his case seems to have outrun his prospects.

Possible supporters:

David Lidington, Matt Hancock, Damian Hinds, David Gauke, James Brokenshire, David Mundell, Alun Cairns, Karen Bradley, Jeremy Wright, Brandon Lewis

The largest group, 10 out of the 23 cabinet members. Mostly realistic about their own prospects (although Hancock may harbour long-term ambitions). Keen to avoid the leadership falling into the hands of Johnson or Rees-Mogg.

The soft Brexit brigade

Amber Rudd, work and pensions secretary

Odds: 18/1 Support: 5%

Vigorous and articulate May loyalist but also an unapologetic Remainer. May be waiting to throw her support behind another candidate (even Johnson?) in return for becoming first female chancellor.

Possible supporters:

Philip Hammond, Greg Clark

Now pushing hard to persuade the prime minister to extend Article 50 rather than to allow a no-deal Brexit: would prefer Rudd as leader but could settle for Javid or Hunt.

And they are all under pressure from outside the cabinet...

The hard-Brexit outsiders

Boris Johnson

Odds: 13/2 Support: 20%

Most popular with party members, but unpopular with fellow MPs, having failed to use the freedom of the back benches to set out a credible alternative Brexit policy. That means he may not make the shortlist of two, chosen by MPs.

Dominic Raab

Odds: 9/1 Support: 7%

Short-lived Brexit secretary and therefore a fairly unmarked candidate with few enemies.

Jacob Rees-Mogg

Odds: 25/1 Support: 15%

Another darling of the grassroots with even less chance of being chosen by fellow MPs for the final run-off.

David Davis

Odds: 25/1 Support: 8%