# What is the TeX/LaTeX symbol for subgroup (not normal subgroup)?

We all love normal subgroups, and in searching the web for the answer to my question I've found plenty of resources for ways to indicate normal subgroups. That's not what I'm looking for. When one wants to say $H$ is a subgroup of $G$ (not necessarily a normal subgroup, normal status is unknown), what is the intended symbol for that purpose? Does everyone just use the less-than \lt symbol? One could simply use a backslash symbol for setminus, but I'm betting parsers that automatically read LaTeX for the purposes of moving equations between math softwares probably process \setminus better. In a similar spirit, is there a LaTeX symbol for non-normal subgroup?

Edited for clarification: I am not looking for how to say "not a normal subgroup", that is, I'm not looking for a crossed out normal subgroup symbol, or a "not" symbol in front of a normal subgroup symbol. I'm looking for a standard subgroup symbol that doesn't reference "normalness" in any way.

• Woah. And why isn't my LaTeX displaying right in the question? Commented Apr 13, 2014 at 3:45
• Welcome to TeX.SE. This site specifically does not render TeX unlike the math site. Can you post an image of the symbol you are looking for. Also check with detexify to see if you can find the symbol there. Commented Apr 13, 2014 at 3:47
• BTW, does \not\trianglelefteq produce what you are looking for? That is just a guess, extrapolating from Normal subgroups. Commented Apr 13, 2014 at 3:51
• Since this is a site to ask questions about TeX code it doesn't make sense to render it. See Why doesn't maths render as maths?. Commented Apr 13, 2014 at 5:09
• My teachers of group theory always used the simple \leq symbol for saying “is a subgroup of” and \unlhd for “is a normal subgroup of”. If you say “is a subgroup of”, you're supposing nothing about normality. Commented Apr 13, 2014 at 10:26

## 2 Answers

After a bit of searching I found \leqslant, which does the trick.

• Welcome to TeX.SX! You can have a look at our starter guide to familiarize yourself further with our format. Commented Jan 9, 2016 at 22:00

All input so far seems to indicate that no, there's no default or standard code for subgroup, and people use some version of the inequality symbols: <, \le, etc.

• People use different symbols. And “<” is not an “inequality symbol”, it is LESS-THAN SIGN (though it can be used to denote things other than the common arithmetic relation). Commented Apr 13, 2014 at 16:43
• In any case, you should define such a symbol: \newcommand\subgroup{\lw} or \newcommand\normsubgroup{\leq}. Commented Apr 13, 2014 at 17:26
• @JukkaK.Korpela I realize people define different platonic symbols for whatever context they're working in, and independently use various computer characters to represent those symbols, and independently display those characters in various fonts. Saying that the screen is displaying a character instead of a symbol is pointless. My statement was that since there does not seem to be any character specifically for the subgroup symbol, people use the same characters as they use for the inequality symbols. Commented Apr 13, 2014 at 17:31
• @JukkaK.Korpela I'd agree that making the distinction doesn't really add to the conversation; the result is the same. Commented Apr 13, 2014 at 17:37
• Tact: pointless -> moot Commented Apr 13, 2014 at 17:45