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gptkbp:instance_of
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gptkb:musical_group
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gptkbp:character_traits
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PSL(2,5)
the group of automorphisms of the projective line over GF(2)
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gptkbp:contains
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gptkb:A_5
F_1(2)
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gptkbp:discovered_by
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1960s
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gptkbp:has_a_center
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trivial
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gptkbp:has_a_character_table
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yes
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gptkbp:has_a_presentation
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⟨x, y | x^11 = y^2 = 1, yxy^{-1} = x^5⟩
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gptkbp:has_a_subgroup_of_index
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2
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gptkbp:has_a_unique_normal_subgroup
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the Klein four-group
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gptkbp:has_produced
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elements of order 5
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gptkbp:has_subgroup
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S_5
A_4
C_5
F_4(2)
Sym(4)
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https://www.w3.org/2000/01/rdf-schema#label
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Fischer group F 1
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gptkbp:is
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gptkb:true
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gptkbp:is_a
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gptkb:musical_group
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gptkbp:is_a_finite_group
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yes
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gptkbp:is_a_member_of
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the family of Fischer groups
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gptkbp:is_part_of
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the classification of finite simple groups
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gptkbp:is_related_to
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the Monster group
Fischer group F_2
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gptkbp:is_represented_in
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a permutation group
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gptkbp:is_transitive
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gptkb:true
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gptkbp:is_used_in
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finite group theory
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gptkbp:named_after
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Rudolf Fischer
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gptkbp:order
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gptkb:44
60
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gptkbp:scientific_classification
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gptkb:sporadic_group
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