Groups of order 324

Statistics at a glance
The number 324 has only two prime factors 2 and 3, and has prime factorization:

$$\! 324 = 2^2 \cdot 3^4 = 4 \cdot 81$$

GAP implementation
gap> SmallGroupsInformation(324);

There are 176 groups of order 324. They are sorted by their Frattini factors. 1 has Frattini factor [ 6, 1 ]. 2 has Frattini factor [ 6, 2 ]. 3 has Frattini factor [ 12, 3 ]. 4 has Frattini factor [ 12, 4 ]. 5 has Frattini factor [ 12, 5 ]. 6 - 18 have Frattini factor [ 18, 3 ]. 19 - 25 have Frattini factor [ 18, 4 ]. 26 - 34 have Frattini factor [ 18, 5 ]. 35 has Frattini factor [ 36, 9 ]. 36 - 41 have Frattini factor [ 36, 10 ]. 42 - 60 have Frattini factor [ 36, 11 ]. 61 - 73 have Frattini factor [ 36, 12 ]. 74 - 80 have Frattini factor [ 36, 13 ]. 81 - 89 have Frattini factor [ 36, 14 ]. 90 - 95 have Frattini factor [ 54, 12 ]. 96 - 102 have Frattini factor [ 54, 13 ]. 103 - 104 have Frattini factor [ 54, 14 ]. 105 - 108 have Frattini factor [ 54, 15 ]. 109 - 111 have Frattini factor [ 108, 36 ]. 112 - 113 have Frattini factor [ 108, 37 ]. 114 - 118 have Frattini factor [ 108, 38 ]. 119 - 122 have Frattini factor [ 108, 39 ]. 123 - 125 have Frattini factor [ 108, 40 ]. 126 - 135 have Frattini factor [ 108, 41 ]. 136 - 141 have Frattini factor [ 108, 42 ]. 142 - 148 have Frattini factor [ 108, 43 ]. 149 - 150 have Frattini factor [ 108, 44 ]. 151 - 154 have Frattini factor [ 108, 45 ]. 155 has Frattini factor [ 162, 51 ]. 156 has Frattini factor [ 162, 52 ]. 157 has Frattini factor [ 162, 53 ]. 158 has Frattini factor [ 162, 54 ]. 159 has Frattini factor [ 162, 55 ]. 160 - 176 have trivial Frattini subgroup.

For the selection functions the values of the following attributes are precomputed and stored: IsAbelian, IsNilpotentGroup, IsSupersolvableGroup, IsSolvableGroup, LGLength, FrattinifactorSize and FrattinifactorId.

This size belongs to layer 2 of the SmallGroups library. IdSmallGroup is available for this size.