It's not true that all meteorites are heavy and there are are many classes that have a low iron content, making them non-magnetic or only weakly so. Martian meteorites would be a case in point,
However, you think you've found a Martian meteorite based on density, absorption and a similar picture found on the internet? That's not the way to identify a meteorite, and the same applies to the spotted basalt you posted elsewhere believing it might be from the moon.
If you have a browse through the many replies posted in the 'Meteorite' section you should pick up on many of the features that we look for to narrow down specimens that justify expert testing. I'm afraid that your rock really has none of those characteristic features. It looks like a terrestrial rock in the territory of basalt (SG ranges from around 2.70 - 3.30) or andesite (SG ranges from around 2.40 - 2.80).
Sigh, there always has to be one. I didn’t say ALL are magnetic and ALL are heavy but by and large, the vast majority are. Here’s an informative link for you:
https://geology.com/meteorites/meteorite-identification.shtml
Generally speaking, the magnet test and the weight of it will be tell-tale signs. Probably close to 95% of the time but if you want to bank on the other 5%, go for it.
Is there any table of elements for different classes of meteorites, like lunar or martian and so on, that we could easier identify which class is our rock?
Oh dear. Deep sigh!
What you actually said is “meteorites are heavy and, generally, have a high iron content that makes them magnetic”, which is misleading.
Your subsequent comments are also misleading and based on a misunderstanding of the statistics… leading to an oft-repeated myth.
The statistic that 90% of meteorites are iron gives a false impression. since the statistic is based on percentage by weight of total known meteoritic material; so, because iron meteorites are heavy compared to non-irons, the percentage by weight is artificially distorted versus the percentage by number. It’s further distorted by the fact that there have been some extremely large iron meteorites which have descended upon us, whereas falls of non-irons tend to be smaller, such that a randomly-found small individual meteorite will not have the same high statistical likelihood of being an iron unless it has come from one of those relatively small numbers of large strewnfields.
Fewer than 5% of meteorite falls are iron meteorites and around 1% are stony irons. By contrast around 8% of falls are achondrites and >85% are chondrites (a proportion of which are carbonaceous with almost no iron, or low-iron chondrites with only moderate magnetic properties).
Furthermore, the OP believes he might have found a Martian meteorite. Although he hasn’t, this would of course fall into the achondrite group and not have the characteristics you describe.