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The query [[Satisfies property::Abelian group]] was answered by the SMWSQLStore3 in 0.0059 seconds.


Results 1 – 40    (Previous 50 | Next 50)   (20 | 50 | 100 | 250 | 500)   (JSON | CSV | RSS | RDF)
 GAP IDArithmetic function value
Additive group of p-adic integers
Baer-Specker groupFrattini length (1)
Fitting length (1)
Circle groupDimension of a real Lie group (1)
Dimension of an algebraic group (1)
Cyclic group:Z1616 (1)Underlying prime of p-group (2)
Order of a group (16)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (16)
Prime-base logarithm of exponent (4)
Frattini length (4)
Minimum size of generating set (1)
Subgroup rank of a group (1)
Rank of a p-group (1)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Cyclic group:Z22 (1)Underlying prime of p-group (2)
Order of a group (2)
Prime-base logarithm of order (1)
Max-length of a group (1)
Chief length (1)
Composition length (1)
Exponent of a group (2)
Prime-base logarithm of exponent (1)
Frattini length (1)
Minimum size of generating set (1)
Subgroup rank of a group (1)
Rank of a p-group (1)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Number of conjugacy classes (2)
Number of subgroups (2)
Number of conjugacy classes of subgroups (2)
Number of equivalence classes under real conjugacy (2)
Number of equivalence classes under rational conjugacy (2)
Cyclic group:Z2020 (2)Order of a group (20)
Exponent of a group (20)
Frattini length (2)
Fitting length (1)
Derived length (1)
Cyclic group:Z2727 (1)Underlying prime of p-group (3)
Order of a group (27)
Prime-base logarithm of order (3)
Max-length of a group (3)
Chief length (3)
Composition length (3)
Exponent of a group (27)
Prime-base logarithm of exponent (3)
Frattini length (3)
Minimum size of generating set (1)
Subgroup rank of a group (1)
Rank of a p-group (1)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Cyclic group:Z33 (1)Underlying prime of p-group (3)
Order of a group (3)
Prime-base logarithm of order (1)
Max-length of a group (1)
Chief length (1)
Composition length (1)
Exponent of a group (3)
Prime-base logarithm of exponent (1)
Frattini length (1)
Minimum size of generating set (1)
Subgroup rank of a group (1)
Rank of a p-group (1)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Cyclic group:Z3232 (1)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Max-length of a group (5)
Chief length (5)
Composition length (5)
Exponent of a group (32)
Prime-base logarithm of exponent (5)
Frattini length (5)
Minimum size of generating set (1)
Subgroup rank of a group (1)
Rank of a p-group (1)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Cyclic group:Z44 (1)Underlying prime of p-group (2)
Order of a group (4)
Prime-base logarithm of order (2)
Max-length of a group (2)
Chief length (2)
Composition length (2)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Frattini length (2)
Minimum size of generating set (1)
Subgroup rank of a group (1)
Rank of a p-group (1)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Cyclic group:Z55 (1)Order of a group (5)
Exponent of a group (5)
Derived length (1)
Frattini length (1)
Fitting length (1)
Cyclic group:Z6464 (1)Underlying prime of p-group (2)
Order of a group (64)
Prime-base logarithm of order (6)
Max-length of a group (6)
Chief length (6)
Composition length (6)
Exponent of a group (64)
Prime-base logarithm of exponent (6)
Frattini length (6)
Minimum size of generating set (1)
Subgroup rank of a group (1)
Rank of a p-group (1)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Cyclic group:Z77 (1)Order of a group (7)
Exponent of a group (7)
Frattini length (1)
Fitting length (1)
Subgroup rank of a group (1)
Rank of a p-group (1)
Cyclic group:Z88 (1)Underlying prime of p-group (2)
Order of a group (8)
Prime-base logarithm of order (3)
Max-length of a group (3)
Chief length (3)
Composition length (3)
Exponent of a group (8)
Prime-base logarithm of exponent (3)
Frattini length (3)
Minimum size of generating set (1)
Subgroup rank of a group (1)
Rank of a p-group (1)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Cyclic group:Z8181 (1)Underlying prime of p-group (3)
Order of a group (81)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (81)
Prime-base logarithm of exponent (4)
Frattini length (4)
Minimum size of generating set (1)
Subgroup rank of a group (1)
Rank of a p-group (1)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Cyclic group:Z99 (1)Order of a group (9)
Exponent of a group (9)
Derived length (1)
Frattini length (2)
Fitting length (1)
Subgroup rank of a group (1)
Direct product of E8 and Z432 (45)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Max-length of a group (5)
Chief length (5)
Composition length (5)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Frattini length (2)
Minimum size of generating set (4)
Subgroup rank of a group (4)
Rank of a p-group (4)
Normal rank of a p-group (4)
Characteristic rank of a p-group (4)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of Z16 and V464 (183)Underlying prime of p-group (2)
Order of a group (64)
Prime-base logarithm of order (6)
Max-length of a group (6)
Chief length (6)
Composition length (6)
Exponent of a group (16)
Prime-base logarithm of exponent (4)
Frattini length (4)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (3)
Normal rank of a p-group (3)
Characteristic rank of a p-group (3)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of Z27 and Z381 (5)Underlying prime of p-group (3)
Order of a group (81)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (27)
Prime-base logarithm of exponent (3)
Frattini length (3)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of Z4 and Z28 (2)Underlying prime of p-group (2)
Order of a group (8)
Prime-base logarithm of order (3)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Frattini length (2)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of Z4 and Z416 (2)Underlying prime of p-group (2)
Order of a group (16)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Frattini length (2)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of Z8 and V432 (36)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Max-length of a group (5)
Chief length (5)
Composition length (5)
Exponent of a group (8)
Prime-base logarithm of exponent (3)
Frattini length (3)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (3)
Normal rank of a p-group (3)
Characteristic rank of a p-group (3)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of Z8 and Z216 (5)Underlying prime of p-group (2)
Order of a group (16)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (8)
Prime-base logarithm of exponent (3)
Frattini length (3)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of Z8 and Z432 (3)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Max-length of a group (5)
Chief length (5)
Composition length (5)
Exponent of a group (8)
Prime-base logarithm of exponent (3)
Frattini length (3)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of Z8 and Z864 (2)Underlying prime of p-group (2)
Order of a group (64)
Prime-base logarithm of order (6)
Max-length of a group (6)
Chief length (6)
Composition length (6)
Exponent of a group (8)
Prime-base logarithm of exponent (3)
Frattini length (3)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of Z9 and E981 (11)Underlying prime of p-group (3)
Order of a group (81)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (9)
Prime-base logarithm of exponent (2)
Frattini length (2)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (3)
Normal rank of a p-group (3)
Characteristic rank of a p-group (3)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of Z9 and Z981 (2)Underlying prime of p-group (3)
Order of a group (81)
Prime-base logarithm of order (4)
Exponent of a group (9)
Prime-base logarithm of exponent (2)
Frattini length (2)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Elementary abelian group:E6464 (267)Underlying prime of p-group (2)
Order of a group (64)
Prime-base logarithm of order (6)
Max-length of a group (6)
Chief length (6)
Composition length (6)
Exponent of a group (2)
Prime-base logarithm of exponent (1)
Frattini length (1)
Minimum size of generating set (6)
Subgroup rank of a group (6)
Rank of a p-group (6)
Normal rank of a p-group (6)
Characteristic rank of a p-group (6)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Elementary abelian group:E88 (5)Underlying prime of p-group (2)
Order of a group (8)
Prime-base logarithm of order (3)
Max-length of a group (3)
Chief length (3)
Composition length (3)
Exponent of a group (2)
Prime-base logarithm of exponent (1)
Frattini length (1)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (3)
Normal rank of a p-group (3)
Characteristic rank of a p-group (3)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Elementary abelian group:E8181 (15)Underlying prime of p-group (3)
Order of a group (81)
Prime-base logarithm of order (4)
Max-length of a group (4)
Chief length (4)
Composition length (4)
Exponent of a group (3)
Prime-base logarithm of exponent (1)
Frattini length (1)
Minimum size of generating set (4)
Subgroup rank of a group (4)
Rank of a p-group (4)
Normal rank of a p-group (4)
Characteristic rank of a p-group (4)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Elementary abelian group:E99 (2)Underlying prime of p-group (3)
Order of a group (9)
Prime-base logarithm of order (2)
Max-length of a group (2)
Chief length (2)
Composition length (2)
Exponent of a group (3)
Prime-base logarithm of exponent (1)
Frattini length (1)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Free abelian group of rank two
Group of integersDerived length (1)
Nilpotency class (1)
Fitting length (1)
Frattini length (1)
Subgroup rank of a group (1)
Group of rational numbers modulo integers
Group of rational numbers with square-free denominators
Klein four-group4 (2)Underlying prime of p-group (2)
Order of a group (4)
Prime-base logarithm of order (2)
Max-length of a group (2)
Chief length (2)
Composition length (2)
Exponent of a group (2)
Prime-base logarithm of exponent (1)
Frattini length (1)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Profinite completion of the integers
Quasicyclic group
Quotient of profinite completion of the integers by the integers
Trivial group1 (1)Order of a group (1)
Exponent of a group (1)
Nilpotency class (0)
Derived length (0)
Frattini length (0)
Minimum size of generating set (0)
Subgroup rank of a group (0)