au gu in ▁notation , ▁and ▁a ▁short ▁name ▁( intern ational ▁short ▁symbol ). ▁The ▁long ▁names ▁are ▁given ▁with ▁spaces ▁for ▁read ability . ▁The ▁groups ▁each ▁have ▁a ▁point ▁group ▁of ▁the ▁unit ▁cell . ▁ ▁Symbol s ▁In ▁Hermann – M au gu in ▁notation , ▁space ▁groups ▁are ▁named ▁by ▁a ▁symbol ▁combining ▁the ▁point ▁group ▁identifier ▁with ▁the ▁upper case ▁letters ▁describing ▁the ▁lattice ▁type . ▁Trans l ations ▁within ▁the ▁lattice ▁in ▁the ▁form ▁of ▁sc rew ▁axes ▁and ▁gli de ▁plan es ▁are ▁also ▁noted , ▁giving ▁a ▁complete ▁cry stal log raph ic ▁space ▁group . ▁ ▁These ▁are ▁the ▁Bra va is ▁l att ices ▁in ▁three ▁dimensions : ▁P ▁primitive ▁I ▁body ▁centered ▁( from ▁the ▁German ▁" In nen zent ri ert ") ▁F ▁face ▁centered ▁( from ▁the ▁German ▁" Fl ächen zent ri ert ") ▁A ▁centered ▁on ▁A ▁faces ▁only ▁B ▁centered ▁on ▁B ▁faces ▁only ▁C ▁centered ▁on ▁C ▁faces ▁only ▁R ▁r hom bo hed ral ▁ ▁A ▁reflection ▁plane ▁m ▁within ▁the ▁point ▁groups ▁can ▁be ▁replaced ▁by ▁a ▁gli de ▁plane , ▁l abeled ▁as ▁a , ▁b , ▁or ▁c ▁depending ▁on ▁which ▁axis ▁the ▁gli de ▁is ▁along . ▁There ▁is ▁also ▁the ▁n ▁gli de , ▁which ▁is ▁a ▁gli de ▁along ▁the ▁half ▁of ▁a ▁diagonal ▁of ▁a ▁face , ▁and ▁the ▁d ▁gli de , ▁which ▁is ▁along ▁a ▁quarter ▁of ▁either ▁a ▁face ▁or ▁space ▁diagonal ▁of ▁the