More than 100 irate Queens parents demanded the cancellation of a Department of Education school diversity meeting in Jamaica Thursday night after they were barred from entry because the room was full.

At least 250 parents showed up to hear the DOE’s diversification plans for District 28 schools — but there were only 112 available seats, officials said.

An excluded crowd formed in front of an elevator bank outside the meeting room and demanded entry. But flustered school safety officers explained that the venue was already packed.

Several raging parents ripped the DOE for failing to anticipate the massive turnout and argued that the meeting should be rescheduled to accommodate demand.

The situation grew so tense at one point that police were called to finally quell the throng and convince them to disperse.

But the mood inside the meeting of Community Education Council 28 which represents some of the city’s top schools in areas like Forest Hills and Rego Park – was equally fraught.

To help shepherd their diversification plan, the DOE contracted with WXY Studio, an architectural and urban planning firm that also manages public engagement on thorny civic issues.

A DOE spokeswoman repeatedly referred to the group, helmed by Adam Lubinsky and Claire Weisz, as a “neutral” party Thursday and intimated that the DOE was assuming a peripheral role.

“Having a neutral facilitator could add value,” said DOE Director of Community Affairs Sadye Campoamor. “It could provide a neutral approach so that DOE isn’t making decisions.”

But that notion was met with immediate derision from parents who grilled attending WXY representatives about everything from their childbearing status to the exact nature of the contracts they signed with the DOE.

Several audience members demanded to know where they sent their own children to school to ensure that their personal choices comported with their public positions.

WXY coordinated a diversification initiative in Brooklyn’s District 15 and is currently working with several other city districts.

In tandem with the DOE, the firm will curate a “working group” of “stakeholders” that will eventually put forth a diversification plan.

One parent asked why there wasn’t more transparency and competition surrounding the hiring of WXY and called the entire process a “manipulation.”

“Put that money into the schools where it belongs,” shouted an attendee.

Another parent suggested that any proposal be subject to a vote by district residents. But that vision was quickly dismissed by DOE official Andrew McLintock.

“Frankly, I think if we were to put things to a vote it puts us in a position where folks who have access to a certain amount of resources have the ability to steer that vote,” he argued. “That’s not what this process is.”

While most parents were overtly hostile to the presenters, one dissenter pointedly noted that routine District 28 meetings were scarcely attended and that it took a racially-tinged topic to induce Thursday’s irregular turnout.

“I’ve been coming here for eight years,” she said. “I’ve never seen any of you before.”

The night’s loudest cheers went to a parent who accused the DOE of trying to distract from wider systemic failings.

“New York City spends more than double the national average per student on education,” he said. “Less than half of the kids can read and do math at grade level. If you’re going to say to the families in south Queens that the only way to get a good education is to send your kids to north Queens, that is an embarrassment and utterly unacceptable. None of us here are millionaires and billionaires and you are pitting families in Queens against each other because there are not enough good schools.”

Under Chancellor Richard Carranza, the DOE has made the undoing of stark racial separation of city classrooms a priority.

Backers argue that the DOE’s various school screening systems benefit children of means and elbow out black and Hispanic students from top schools.