What does acephali mean?
The definition of acephali
A*ceph”a*li, n. pl.
Etym: [LL., pl. of acephalus. See Acephal.]

1 A fabulous people reported by ancient writers to have heads.
2 (Eccl. Hist.)

(a) A Christian sect without a leader.
(b) Bishops and certain clergymen not under regular diocesan control.

3 A class of levelers in the time of K. Henry I.