A group given by 
,
where 
is the Frattini subgroup of a given group 
.
Frattini Factor
See also
Frattini Extension, Frattini SubgroupExplore with Wolfram|Alpha
References
Besche, H.-U. and Eick, B. "Construction of Finite Groups." J. Symb. Comput. 27, 387-404, 1999.Gaschütz, W. "Über
-Untergruppen
endlicher Gruppen." Math. Z. 58, 160-170, 1953.Referenced on Wolfram|Alpha
Frattini FactorCite this as:
Weisstein, Eric W. "Frattini Factor." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FrattiniFactor.html