Groups of order 30

This article gives information about, and links to more details on, groups of order 30
See pages on algebraic structures of order 30 | See pages on groups of a particular order

GAP implementation

The order 30 is part of GAP's SmallGroup library. Hence, any group of order 30 can be constructed using the SmallGroup function by specifying its group ID. Also, IdGroup is available, so the group ID of any group of this order can be queried.

Further, the collection of all groups of order 30 can be accessed as a list using GAP's AllSmallGroups function.

Here is GAP's summary information about how it stores groups of this order, accessed using GAP's SmallGroupsInformation function: