It said the alleged offences involved one victim, a female member of the group at the time they occurred.
About 150 people were understood to lived at the base.
The 10 people arrested were of various nationalities, including British, Mexican, Italian, American, Spanish, German, Swedish and Egyptian.
Ahmadi Religion of Peace and Light was started by followers of Shia Islam at the start of the century, but its beliefs have been rejected by Shia Muslims.
Ch Supt Gareth Wrigley said: “As we have stated from the very beginning, this is not an investigation into religion.”
He urged people not to speculate and added: “Our investigation solely focuses on the serious allegations which have been reported to us.”
Twenty-five people were charged with public order offences during the raids, but not connected to the investigation.
All of them are due to appear at Crewe Magistrates’ Court on various dates in June.