Two questions about non-abelian finite simple groups

Question

In OEIS, I found the positive integers $\ n\ $ , for which there exists a non-abelian simple group with order $\ n\ $ upto $\ 10^{10}\ $. It can be found by entering the numbers $\ 60,168,360\ $

• Only two of the numbers , [29120, 32537600] , are not divisible by $\ 12\ $.

  Question 1 : Is every other number in this sequence divisble by $\ 12\ $ ?

• In the list of simple groups in Wikipedia I noticed that the only positive integer $\ n\le 10^5\ $ , such there are at least two non-isomorphic non-abelian simple groups with order $\ n\ $ , is $\ n=20160\ $.

  Question 2 : Is this the only such integer, and if not ,what is the second-smallest. Given the Referrence to Hall listing $\ 56\ $ groups and considering the OEIS-sequence , it should be larger than $\ 10^6\ $.

Answer 1

The Suzuki groups are simple groups whose orders are not divisible by $3$ and a fortiori are not divisible by $12$.