Groups of order 144

Statistics at a glance
The number 144 has prime factorization $$144 = 2^4 \cdot 3^2$$.

GAP implementation
gap> SmallGroupsInformation(144);

There are 197 groups of order 144. 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 - 19 have Frattini factor [ 12, 4 ]. 20 - 27 have Frattini factor [ 12, 5 ]. 28 has Frattini factor [ 18, 3 ]. 29 has Frattini factor [ 18, 4 ]. 30 has Frattini factor [ 18, 5 ]. 31 - 33 have Frattini factor [ 24, 12 ]. 34 - 36 have Frattini factor [ 24, 13 ]. 37 - 46 have Frattini factor [ 24, 14 ]. 47 - 50 have Frattini factor [ 24, 15 ]. 51 has Frattini factor [ 36, 9 ]. 52 - 67 have Frattini factor [ 36, 10 ]. 68 has Frattini factor [ 36, 11 ]. 69 - 84 have Frattini factor [ 36, 12 ]. 85 - 100 have Frattini factor [ 36, 13 ]. 101 - 108 have Frattini factor [ 36, 14 ]. 109 has Frattini factor [ 48, 48 ]. 110 has Frattini factor [ 48, 49 ]. 111 has Frattini factor [ 48, 50 ]. 112 has Frattini factor [ 48, 51 ]. 113 has Frattini factor [ 48, 52 ]. 114 has Frattini factor [ 72, 39 ]. 115 - 119 have Frattini factor [ 72, 40 ]. 120 has Frattini factor [ 72, 41 ]. 121 - 123 have Frattini factor [ 72, 42 ]. 124 - 126 have Frattini factor [ 72, 43 ]. 127 - 129 have Frattini factor [ 72, 44 ]. 130 - 136 have Frattini factor [ 72, 45 ]. 137 - 154 have Frattini factor [ 72, 46 ]. 155 - 157 have Frattini factor [ 72, 47 ]. 158 - 167 have Frattini factor [ 72, 48 ]. 168 - 177 have Frattini factor [ 72, 49 ]. 178 - 181 have Frattini factor [ 72, 50 ]. 182 - 197 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.