The Janko group 
is the smallest of the four Janko groups. It is a
sporadic group and simple
group of group order 
(Conway et
al. 1985).
The group is the automorphism group of the 266-vertex Livingstone graph,
which is distance-transitive (DistanceRegular.org).
The group is implemented in the Wolfram
Language as JankoGroupJ1[].
See also
Janko Groups,
Livingstone Graph,
Simple Group,
Sporadic
Group
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References
Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. Atlas
of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups.
Oxford, England: Clarendon Press, 1985.DistanceRegular.org. "Livingstone
Graph." https://www.math.mun.ca/distanceregular/graphs/livingstone.html.Livingstone,
D. "On a Permutation Representation of the Janko Group." J. Algebra 6,
43-55, 1967.Wilson, R. A. "ATLAS: Janko Group 
." https://brauer.maths.qmul.ac.uk/Atlas/v3/spor/J1/.Referenced
on Wolfram|Alpha
Janko Group J1
Cite this as:
Weisstein, Eric W. "Janko Group J1." From
MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/JankoGroupJ1.html
Subject classifications
