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Property:Quotient part
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Pages using the property "Quotient part"
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2
2-Sylow subgroup of special linear group:SL(2,3)
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Cyclic group:Z3
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2-core of general linear group:GL(2,3)
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Symmetric group:S3
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A
A3 in S3
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Cyclic group:Z2
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A4 in S4
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Cyclic group:Z2
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A5 in S5
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Cyclic group:Z2
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A6 in S6
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Cyclic group:Z2
+
C
Center of M16
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Klein four-group
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Center of binary octahedral group
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Symmetric group:S4
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Center of central product of D8 and Z4
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Klein four-group
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Center of dihedral group:D16
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Dihedral group:D8
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Center of dihedral group:D8
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Klein four-group
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Center of direct product of D8 and Z2
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Klein four-group
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Center of general linear group:GL(2,3)
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Symmetric group:S4
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Center of nontrivial semidirect product of Z4 and Z4
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Klein four-group
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Center of quaternion group
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Klein four-group
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Center of semidihedral group:SD16
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Dihedral group:D8
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Center of special linear group:SL(2,3)
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Alternating group:A4
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Center of special linear group:SL(2,5)
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Alternating group:A5
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Center of unitriangular matrix group:UT(3,p)
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Elementary abelian group of prime-square order
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Central subgroup generated by a non-square in nontrivial semidirect product of Z4 and Z4
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Quaternion group
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Cyclic maximal subgroup of dihedral group:D16
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Cyclic group:Z2
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Cyclic maximal subgroup of dihedral group:D8
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Cyclic group:Z2
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Cyclic maximal subgroup of semidihedral group:SD16
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Cyclic group:Z2
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Cyclic maximal subgroups of quaternion group
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Cyclic group:Z2
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D
D8 in D16
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Cyclic group:Z2
+
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Symmetric group:S3 (order 3! = 6)
Symmetric group:S4 (order 4! = 24)
Alternating group:A4 (order 4!/2 = 12)
Dihedral group:D8 (order 8)
Symmetric group:S5 (order 5! = 120)
Alternating group:A5 (order 5!/2 = 60)
Quaternion group (order 8)
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