Group 1.1 - 1
Name
1
Order
1
Exponent
1
Cyclic
yes
Abelian
yes
Elementary
yes
Abelian Invariants
[ ]
p-Group
yes (fail)
Rank
0
Nilpotent
yes
Supersoluble
yes
Soluble
yes
Simple
yes
Perfect
yes
Permutation Representation
<
()
>
Degree
0
Transitive
yes
Primitive
no
Regular
no
Cayley Table:
1
1
1
Elements:
1 = ()
Centre:
1
Commutator Subgroup:
1
Frattini Subgroup:
1
Composition Series
<
()
>
Chief Series
<
()
>
