C2×C2×C2×C2
C2×C2×C2×C2
is Abelian, and is a direct product of two smaller groups
.
Statistics
Order of group
16
GAP identifier
16,14
Presentation
< p,q,r,s  p
^{2}
, q
^{2}
, r
^{2}
, s
^{2}
, [p,q], [q,r], [r,s], [s,p], [p,r], [q,s] >
Orders of elements
1 of 1, 15*1 of 2
Centre
C2×C2×C2×C2
Derived subgroup
1
Automorphism group
PSL(4,2)
Inner automorphism group
C11
"Out"
(quotient of above)
PSL(4,2)
Schur multiplier
C2×C2×C2×C2×C2×C2
Permutation Diagrams
Not transitive.
Not transitive.
Cayley Graphs
{4,4}
_{(4,0)}
, type I
Index to regular maps
Orientable
sphere

torus

2

3

4

5

6
Nonorientable
projective plane

4

5

6

7