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The query [[Satisfies property::Finite group]] was answered by the SMWSQLStore3 in 0.0111 seconds.


Results 1 – 100    (Previous 100 | Next 100)   (20 | 50 | 100 | 250 | 500)   (JSON | CSV | RSS | RDF)
 GAP IDArithmetic function value
Alternating group:A412 (3)Order of a group (12)
Exponent of a group (6)
Derived length (2)
Frattini length (1)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Max-length of a group (3)
Composition length (3)
Chief length (2)
Number of conjugacy classes (4)
Number of orbits under automorphism group (3)
Number of equivalence classes under real conjugacy (3)
Number of equivalence classes under rational conjugacy (3)
Number of conjugacy classes of real elements (2)
Number of conjugacy classes of rational elements (2)
Number of conjugacy classes of subgroups (5)
Number of subgroups (10)
Alternating group:A560 (5)Order of a group (60)
Exponent of a group (30)
Frattini length (1)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Max-length of a group (4)
Composition length (1)
Chief length (1)
Number of subgroups (59)
Number of conjugacy classes (5)
Number of conjugacy classes of subgroups (9)
Alternating group:A6360 (118)Order of a group (360)
Exponent of a group (60)
Frattini length (1)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Max-length of a group (5)
Number of subgroups (501)
Number of conjugacy classes (7)
Number of conjugacy classes of subgroups (22)
Automorphism group of alternating group:A61,440 (5841)Order of a group (1,440)
Number of conjugacy classes (13)
Binary octahedral group48 (28)Order of a group (48)
Exponent of a group (24)
Derived length (4)
Frattini length (2)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Max-length of a group (5)
Number of conjugacy classes (8)
Number of subgroups (35)
Number of conjugacy classes of subgroups (13)
Burnside group:B(3,3)2,187 (4487)Underlying prime of p-group (3)
Order of a group (2,187)
Prime-base logarithm of order (7)
Max-length of a group (7)
Chief length (7)
Composition length (7)
Exponent of a group (3)
Prime-base logarithm of exponent (1)
Nilpotency class (3)
Derived length (2)
Central product of D16 and Z432 (42)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)
Nilpotency class (3)
Derived length (2)
Frattini length (3)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (2)
Central product of D8 and Q832 (50)Underlying prime of p-group (2)
Order of a group (32)
Prime-base logarithm of order (5)
Exponent of a group (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Minimum size of generating set (4)
Subgroup rank of a group (4)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (1)
Central product of D8 and Z1248 (47)
Central product of D8 and Z1664 (185)
Central product of D8 and Z416 (13)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)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (1)
Central product of D8 and Z832 (38)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)
Nilpotency class (2)
Derived length (2)
Frattini length (3)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (1)
Central product of M16 and Z8 over common Z264 (86)
Central product of SL(2,3) and Z448 (33)Order of a group (48)
Central product of SL(2,5) and Z4240 (93)Order of a group (240)
Central product of UT(3,3) and Z981 (14)Order of a group (81)
Prime-base logarithm of order (4)
Exponent of a group (9)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Fitting length (1)
Minimum size of generating set (3)
Subgroup rank of a group (3)
Rank of a p-group (2)
Normal rank of a p-group (2)
Characteristic rank of a p-group (1)
Central product of UT(3,p) and Zp^2
Central product of Z9 and wreath product of Z3 and Z3243 (55)
Cyclic group of prime-cube orderPrime-base logarithm of order (3)
Max-length of a group (3)
Chief length (3)
Composition length (3)
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 of prime-square orderPrime-base logarithm of order (2)
Max-length of a group (2)
Chief length (2)
Composition length (2)
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:Z1010 (2)Order of a group (10)
Exponent of a group (10)
Cyclic group:Z1212 (2)Order of a group (12)
Exponent of a group (12)
Nilpotency class (1)
Derived length (1)
Frattini length (2)
Fitting length (1)
Cyclic group:Z128128 (1)Underlying prime of p-group (2)
Order of a group (128)
Prime-base logarithm of order (7)
Max-length of a group (7)
Chief length (7)
Composition length (7)
Exponent of a group (128)
Prime-base logarithm of exponent (7)
Frattini length (7)
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: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:Z1818 (2)Order of a group (18)
Exponent of a group (18)
Frattini length (2)
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:Z2424 (2)Order of a group (24)
Exponent of a group (24)
Nilpotency class (1)
Derived length (1)
Cyclic group:Z243243 (1)Order of a group (243)
Prime-base logarithm of order (5)
Exponent of a group (243)
Prime-base logarithm of exponent (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)
Derived length (1)
Nilpotency class (1)
Frattini length (5)
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:Z3636 (2)
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:Z4040 (2)
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)
Dicyclic group:Dic1212 (1)
Dicyclic group:Dic2020 (1)Order of a group (20)
Exponent of a group (10)
Frattini length (2)
Derived length (2)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Dicyclic group:Dic2424 (4)Order of a group (24)
Exponent of a group (12)
Derived length (2)
Dihedral group:D1010 (1)Order of a group (10)
Exponent of a group (10)
Fitting length (2)
Frattini length (1)
Derived length (2)
Dihedral group:D1212 (4)Order of a group (12)
Exponent of a group (6)
Derived length (2)
Frattini length (1)
Fitting length (2)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Max-length of a group (3)
Dihedral group:D128128 (161)Underlying prime of p-group (2)
Order of a group (128)
Prime-base logarithm of order (7)
Max-length of a group (7)
Chief length (7)
Composition length (7)
Exponent of a group (64)
Prime-base logarithm of exponent (6)
Nilpotency class (6)
Derived length (2)
Frattini length (6)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Dihedral group:D1414 (1)
Dihedral group:D1616 (7)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)
Nilpotency class (3)
Derived length (2)
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 (1)
Characteristic rank of a p-group (1)
Number of conjugacy classes (7)
Number of equivalence classes under rational conjugacy (6)
Number of conjugacy classes of rational elements (5)
Dihedral group:D1818 (1)
Dihedral group:D2020 (4)Order of group (20)
Order of a group (10)
Frattini length (1)
Fitting length (1)
Derived length (2)
Dihedral group:D2424 (6)
Dihedral group:D256256 (539)Underlying prime of p-group (2)
Order of a group (256)
Prime-base logarithm of order (8)
Max-length of a group (8)
Chief length (8)
Composition length (8)
Exponent of a group (128)
Prime-base logarithm of exponent (7)
Nilpotency class (7)
Derived length (2)
Frattini length (7)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Dihedral group:D3232 (18)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 (16)
Prime-base logarithm of exponent (4)
Nilpotency class (4)
Derived length (2)
Frattini length (4)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Dihedral group:D6464 (52)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 (32)
Prime-base logarithm of exponent (5)
Nilpotency class (5)
Derived length (2)
Frattini length (5)
Minimum size of generating set (2)
Subgroup rank of a group (2)
Rank of a p-group (2)
Normal rank of a p-group (1)
Characteristic rank of a p-group (1)
Dihedral group:D88 (3)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 (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Fitting 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 (1)
Number of conjugacy classes (5)
Number of equivalence classes under real conjugacy (5)
Number of conjugacy classes of real elements (5)
Number of equivalence classes under rational conjugacy (5)
Number of conjugacy classes of rational elements (5)
Number of subgroups (10)
Number of conjugacy classes of subgroups (8)
Number of normal subgroups (6)
Number of automorphism classes of subgroups (6)
Number of characteristic subgroups (4)
Direct product of A4 and A4144 (184)
Direct product of A4 and D896 (197)Order of a group (96)
Exponent of a group (12)
Derived length (2)
Minimum size of generating set (2)
Direct product of A4 and E896 (228)Order of a group (96)
Exponent of a group (6)
Derived length (2)
Minimum size of generating set (2)
Direct product of A4 and Q896 (199)Order of a group (96)
Exponent of a group (12)
Derived length (2)
Minimum size of generating set (2)
Direct product of A4 and S372 (44)Order of a group (72)
Exponent of a group (6)
Derived length (2)
Direct product of A4 and V448 (49)
Direct product of A4 and Z224 (13)Order of a group (24)
Exponent of a group (12)
Derived length (2)
Frattini length (1)
Minimum size of generating set (2)
Subgroup rank of a group (3)
Direct product of A4 and Z336 (11)
Direct product of A4 and Z448 (31)
Direct product of A4 and Z4 and Z296 (196)Order of a group (96)
Exponent of a group (12)
Minimum size of generating set (2)
Derived length (2)
Direct product of A4 and Z560 (9)Order of a group (60)
Exponent of a group (30)
Minimum size of generating set (2)
Derived length (2)
Direct product of A4 and Z896 (73)Order of a group (96)
Exponent of a group (24)
Derived length (2)
Minimum size of generating set (2)
Direct product of A5 and V4240 (190)Order of a group (240)
Direct product of A5 and Z2120 (35)Order of a group (120)
Exponent of a group (30)
Composition length (2)
Chief length (2)
Max-length of a group (5)
Frattini length (1)
Direct product of A5 and Z4240 (92)Order of a group (240)
Exponent of a group (60)
Composition length (3)
Chief length (3)
Minimum size of generating set (2)
Direct product of A5 and Z7420 (13)
Direct product of A6 and Z2720 (766)Order of a group (720)
Exponent of a group (60)
Direct product of D12 and Z224 (14)
Direct product of D12 and Z336 (12)
Direct product of D16 and V464 (250)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)
Nilpotency class (3)
Derived length (2)
Frattini length (3)
Minimum size of generating set (4)
Subgroup rank of a group (4)
Rank of a p-group (4)
Normal rank of a p-group (3)
Characteristic rank of a p-group (3)
Direct product of D16 and Z232 (39)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)
Nilpotency class (3)
Derived length (2)
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 (2)
Characteristic rank of a p-group (2)
Direct product of D16 and Z348 (25)
Direct product of D16 and Z464 (118)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)
Nilpotency class (3)
Derived length (2)
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 (2)
Characteristic rank of a p-group (2)
Direct product of D32 and Z264 (186)
Direct product of D8 and D864 (226)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 (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (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 (2)
Direct product of D8 and E864 (261)
Direct product of D8 and Q864 (230)
Direct product of D8 and S348 (38)
Direct product of D8 and V432 (46)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)
Nilpotency class (2)
Derived length (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 (3)
Direct product of D8 and Z216 (11)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)
Nilpotency class (2)
Derived length (2)
Frattini length (2)
Fitting 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 (2)
Direct product of D8 and Z324 (10)Order of a group (24)
Exponent of a group (12)
Frattini length (2)
Fitting length (1)
Derived length (2)
Nilpotency class (2)
Direct product of D8 and Z432 (25)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)
Nilpotency class (2)
Derived length (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 (2)
Direct product of D8 and Z4 and Z264 (196)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 (4)
Prime-base logarithm of exponent (2)
Nilpotency class (2)
Derived length (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 (3)
Direct product of D8 and Z540 (10)
Direct product of D8 and Z648 (45)
Direct product of D8 and Z756 (9)
Direct product of Dic12 and Z224 (7)Order of a group (24)
Exponent of a group (12)
Fitting length (2)
Frattini length (2)
Derived length (2)
Minimum size of generating set (2)
Direct product of E16 and Z464 (260)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 (4)
Prime-base logarithm of exponent (2)
Frattini length (2)
Minimum size of generating set (5)
Subgroup rank of a group (5)
Rank of a p-group (5)
Normal rank of a p-group (5)
Characteristic rank of a p-group (5)
Nilpotency class (1)
Derived length (1)
Fitting length (1)
Direct product of E8 and Z324 (15)Order of a group (24)
Exponent of a group (6)
Frattini length (3)
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 M16 and V464 (247)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)
Nilpotency class (2)
Derived length (2)
Frattini length (3)
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)
Direct product of M16 and Z232 (37)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)
Nilpotency class (2)
Derived length (2)
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)
Direct product of M16 and Z348 (24)
Direct product of M16 and Z464 (85)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)
Nilpotency class (2)
Derived length (2)
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)