Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40320140601OD-Characterization of almost simple groups related to $L_{3}(25)$765790530ENGholamrezaRezaeezadehshahrekord universityMohammad RezaDarafshehuniversity of tehranMasoomehSajadishahrekord universityMasoomehBibakshahrekord universityJournal Article20120526Let $G$ be a finite group and $pi(G)$ be the set of all the prime divisors of $|G|$. The prime graph of $G$ is a simple graph $Gamma(G)$ whose vertex set is $pi(G)$ and two distinct vertices $p$ and $q$ are joined by an edge if and only if $G$ has an element of order $pq$, and in this case we will write $psim q$. The degree of $p$ is the number of vertices adjacent to $p$ and is denoted by $deg(p)$. If $|G|=p^{alpha_{1}}_{1}p^{alpha_{2}}_{2}...p^{alpha_{k}}_{k}$, $p_{i}^{,}$s different primes, $p_{1}<p_{2}<...<p_{k}$, then $D(G)=(deg(p_{1}),deg(p_{2}),...,deg(p_{k}))$ is called the degree pattern of $G$. A finite group $G$ is called $k$-fold OD-characterizable if there exist exactly $k$ non-isomorphic groups $S$ with $|G|=|S|$ and $D(G)=D(S)$. In this paper, we characterize groups with the same order and degree pattern as an almost simple groups related to $L_{3}(25)$.http://bims.iranjournals.ir/article_530_c3e97871dde1cadf475decd59146663e.pdf