gptkb:exceptional_Lie_group_G_2
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gptkb:octonions
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gptkb:alternating_group_A6
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gptkb:symmetric_group_S6
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gptkb:Weyl_group_of_E7
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order 2
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gptkb:n-dimensional_Hamming_cube
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hyperoctahedral group
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gptkb:PGL(3,2)
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gptkb:Fano_plane
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gptkb:E_8_automorphism_group
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gptkb:E_8_Lie_algebra
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gptkb:symmetric_group_S_n_(n_≥_3)
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order 2 (for n = 6)
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gptkb:E_8_lattice
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gptkb:Weyl_group_of_E_8
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gptkb:Rado_graph
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large
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gptkb:Mathieu_group_M_12
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190080
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gptkb:E7(q)
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contains field, graph, and diagonal automorphisms
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gptkb:PGL(n,_C)
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complex projective space
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gptkb:exceptional_Lie_group_F4
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trivial
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gptkb:symmetric_group_S4
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trivial group
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gptkb:symmetric_group_S_3
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trivial group
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gptkb:Moufang_plane
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3-transitive on points of a line
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gptkb:symmetry_group_of_regular_hexagon
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regular hexagon
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gptkb:PSL(3,2)
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trivial
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gptkb:octonion_algebra
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gptkb:G2
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gptkb:Galois_field
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cyclic
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