COLUMBIA, S.C. — While it appears there is broad support in the South Carolina Legislature to bring down the Confederate flag, the depth of that support will get its first test this week as lawmakers return to Columbia to come up with a specific plan.

The General Assembly returns today to discuss Gov. Nikki Haley’s budget vetoes and what to do with the rebel flag that has flown over some part of the Statehouse for more than 50 years.

Several bills have been filed, but details like when to bring down the flag that currently flies on a pole by a monument to Confederate soldiers in front of the state Capitol, whether to put another flag in its place and what kind of ceremony should mark the removal aren’t specified.

And if South Carolina takes any lesson from the 2000 debate that brought the Confederate flag off the Statehouse dome and to its current location, it is that minor details can trip things up.

Haley, business leaders, the Legislative Black Caucus and civil rights leaders are against flying any flag that flew over the Confederacy on the pole.

“There is no good-looking Confederate flag. It all stands for the same thing — secession,” said Lonnie Randolph, president of the South Carolina chapter of the National Association for the Advancement of Colored People.

Fifteen years ago, there was consensus that South Carolina — the last state to fly a Confederate flag on its Capitol dome — needed to pull down the banner. But lawmakers spent months discussing whether to build a healing pool, or display authentic flags in glass cases as a history lesson or include the Confederate flag in a circle of flags of historical significance. The compromise was reached a few weeks before the session ended.

The killing of nine black churchgoers in Charleston last month by a man police said was motivated by racial hatred and photographed holding Confederate flags and regalia has created consensus again that the flag must be removed from the Statehouse entirely.

A survey of lawmakers by The Post and Courier newspaper, the South Carolina Press Association and The Associated Press asking lawmakers how they intend to vote after Haley’s call to remove the flag found at least 33 senators and 83 House members agreed with her, reaching the threshold of a two-thirds vote needed under the law to alter the flag’s position.

But not all lawmakers support the idea without some reservation. There is talk about raising a flag that cadets at The Citadel fought under when the Civil War started that looks like the current South Carolina flag done in red instead of blue to replace the current Confederate flag. In 2007, a bill to remove the flag entirely included a clause that the flag could still fly on Confederate Memorial Day, and that idea may resurface.