C2×C2×C2
C2×C2×C2
is Abelian, and is a direct product of two smaller groups
.
Statistics
Order of group
8
GAP identifier
8,5
Presentation
< r,g,b | r
2
, g
2
, b
2
, [r,g], [g,b], [b,r] >
Orders of elements
1 of 1, 7*1 of 2
Centre
.5
Derived subgroup
1
Automorphism group
PSL(2,7)
Inner automorphism group
1
"Out"
(quotient of above)
PSL(2,7)
Schur multiplier
C2×C2×C2
Permutation Diagrams
Not transitive.
Cayley Graphs
the cube
, type I
Regular maps
with C2×C2×C2 symmetry