Groups of order 1056

Statistics at a glance
The number 1056 has prime factors 2,3,11 with prime factorization:

$$\! 1056 = 2^5 \cdot 3^1 \cdot 11^1 = 32 \cdot 3 \cdot 11$$

GAP implementation
gap> SmallGroupsInformation(1056);

There are 1028 groups of order 1056. They are sorted by their Frattini factors. 1 has Frattini factor [ 66, 1 ]. 2 has Frattini factor [ 66, 2 ]. 3 has Frattini factor [ 66, 3 ]. 4 has Frattini factor [ 66, 4 ]. 5 - 71 have Frattini factor [ 132, 5 ]. 72 has Frattini factor [ 132, 6 ]. 73 - 113 have Frattini factor [ 132, 7 ]. 114 - 154 have Frattini factor [ 132, 8 ]. 155 - 195 have Frattini factor [ 132, 9 ]. 196 - 214 have Frattini factor [ 132, 10 ]. 215 - 218 have Frattini factor [ 264, 31 ]. 219 - 222 have Frattini factor [ 264, 32 ]. 223 - 229 have Frattini factor [ 264, 33 ]. 230 - 564 have Frattini factor [ 264, 34 ]. 565 - 571 have Frattini factor [ 264, 35 ]. 572 - 657 have Frattini factor [ 264, 36 ]. 658 - 743 have Frattini factor [ 264, 37 ]. 744 - 829 have Frattini factor [ 264, 38 ]. 830 - 853 have Frattini factor [ 264, 39 ]. 854 - 868 have Frattini factor [ 528, 160 ]. 869 - 879 have Frattini factor [ 528, 161 ]. 880 - 890 have Frattini factor [ 528, 162 ]. 891 - 901 have Frattini factor [ 528, 163 ]. 902 - 954 have Frattini factor [ 528, 164 ]. 955 - 961 have Frattini factor [ 528, 165 ]. 962 - 963 have Frattini factor [ 528, 166 ]. 964 - 978 have Frattini factor [ 528, 167 ]. 979 - 993 have Frattini factor [ 528, 168 ]. 994 - 1008 have Frattini factor [ 528, 169 ]. 1009 - 1014 have Frattini factor [ 528, 170 ]. 1015 - 1028 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 5 of the SmallGroups library. IdSmallGroup is available for this size.