List of LaTeX symbols in group theory

Symbol Command
$G \simeq H$ G \simeq H
$G \cong H$ G \cong H
Symbol Command
$G \times H$ G \times H
$G \rtimes H$ G \rtimes H
$H \ltimes G$ H \ltimes G
$G \wr H$ G \wr H
Symbol Command
$H \lt G$ H \lt G
$H \le G$ H \le G
$H \leq G$ H \leq G
$G \gt H$ G \gt H
$G \ge H$ G \ge H
$G \geq H$ G \geq H
Symbol Command
$H \sub G$ H \sub G
$H \subset G$ H \subset G
$H \sube G$ H \sube G
$H \subseteq G$ H \subseteq G
$H \subseteqq G$ H \subseteqq G
$G \supset H$ G \supset H
$G \supe H$ G \supe H
$G \supseteq H$ G \supseteq H
$G \supseteqq H$ G \supseteqq H
Symbol Command
$H \subsetneq G$ H \subsetneq G
$H \subsetneqq G$ H \subsetneqq G
$G \supsetneq H$ G \supsetneq H
$G \supsetneqq H$ G \supsetneqq H
Symbol Command
$U \cap V$ U \cap V
$U \cup V$ U \cup V
Symbol Command
$G \rhd N$ G \rhd N
$G \vartriangleright N$ G \vartriangleright N
$G \unrhd N$ G \unrhd N
$G \trianglerighteq N$ G \trianglerighteq N
$G \ntriangleright N$ G \ntriangleright N
$G \not\vartriangleright N$ G \not\vartriangleright N
$G \ntrianglerighteq N$ G \ntrianglerighteq N
$G \not\trianglerighteq N$ G \not\trianglerighteq N
Symbol Command
$N \lhd G$ N \lhd G
$N \vartriangleleft G$ N \vartriangleleft G
$N \unlhd G$ N \unlhd G
$N \trianglelefteq G$ N \trianglelefteq G
$N \ntriangleleft G$ N \ntriangleleft G
$N \not\vartriangleleft G$ N \not\vartriangleleft G
$N \ntrianglelefteq G$ N \ntrianglelefteq G
$N \not\trianglelefteq G$ N \not\trianglelefteq G
Symbol Command
$a \sim b$ a \sim b
$(G:H)$ (G:H)
$G / N$ G / N
$\N / n\N$ \N / n\N
$(\N / n\N)^{\times}$ (\N / n\N)^{\times}
$G / H \cap N$ G / H \cap N
$\langle S \rangle$ \langle S \rangle

LaTeX algebra

LaTeX