projective special linear group PSL(4,2)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:group_of_people
gptkbp:automorphismGroup	trivial
gptkbp:centralTo	trivial
gptkbp:definedIn	finite field of order 2
gptkbp:hasSubgroup	gptkb:C_4 gptkb:PSL(2,7) gptkb:S_3 gptkb:S_4 gptkb:C_5 gptkb:C_2 gptkb:C_3 gptkb:PSL(3,2) gptkb:S_6 gptkb:A_5 gptkb:A_7 gptkb:C_7 gptkb:S_8 gptkb:A_6 gptkb:S_5 C_8 C_105 C_15 C_21 C_35
https://www.w3.org/2000/01/rdf-schema#label	projective special linear group PSL(4,2)
gptkbp:isChevalleyGroup	true
gptkbp:isFinite	true
gptkbp:isGroupOfLieType	true
gptkbp:isNonAbelian	true
gptkbp:isomorphicTo	gptkb:alternating_group_A8 gptkb:A8
gptkbp:isPerfect	true
gptkbp:isQuotientOf	gptkb:SL(4,2) center of SL(4,2)
gptkbp:isSimple	true
gptkbp:isSporadicGroup	false
gptkbp:isTransitiveOn	8 points 8 sets 8 elements
gptkbp:minimalDegreeFaithfulPermutationRepresentation	8
gptkbp:notation	gptkb:PSL(4,2) gptkb:PSL_4(2) L_4(2)
gptkbp:order	20160
gptkbp:relatedTo	linear group SL(4,2)
gptkbp:bfsParent	gptkb:alternating_group_A8 gptkb:alternating_group_A_8
gptkbp:bfsLayer	8