G2(2)

GPTKB entity

Statements (60)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:alsoKnownAs gptkb:Janko_group_J1
gptkbp:automorphismGroup trivial
gptkbp:characteristic characteristic 2
gptkbp:class one of the 26 sporadic simple groups
gptkbp:discoveredBy R. L. Griess
gptkbp:discoveredIn 1960
gptkbp:hasSubgroup gptkb:A9
gptkb:A5
gptkb:C21
gptkb:A4
gptkb:PSL(2,7)
gptkb:C9
gptkb:C8
gptkb:A6
gptkb:S5
gptkb:S6
gptkb:C182
gptkb:C7
C3
C4
S4
C13
C14
C2
C52
C28
C39
C78
C91
C104
C1092
C1512
C156
C2016
C273
C3024
C312
C364
C546
C6048
C728
G2(2):2
PSL(2,13)
PSL(2,13):2
PSL(2,8)
PSL(2,8):3
https://www.w3.org/2000/01/rdf-schema#label G2(2)
gptkbp:isomorphicTo gptkb:Janko_group_J1
Aut(PSU(3,3))
Aut(U3(3))
PSU(3,3):2
U3(3):2
gptkbp:minimalDegreeOfFaithfulMatrixRepresentation 6
gptkbp:minimalDegreeOfFaithfulPermutationRepresentation 36
gptkbp:order 6048
gptkbp:relatedTo Lie type group G2 over field with 2 elements
gptkbp:SchurMultiplier trivial
gptkbp:bfsParent gptkb:split-octonions
gptkbp:bfsLayer 7