Groups of order 1092

Statistics at a glance
The number 1092 has the prime factorization:

$$\! 1092 = 2^2 \cdot 3^1 \cdot 7^1 \cdot 13^1 = 4 \cdot 3 \cdot 7 \cdot 13$$

GAP implementation
gap> SmallGroupsInformation(1092);

There are 77 groups of order 1092. They are sorted by their Frattini factors. 1 has Frattini factor [ 546, 1 ]. 2 has Frattini factor [ 546, 2 ]. 3 has Frattini factor [ 546, 3 ]. 4 has Frattini factor [ 546, 4 ]. 5 has Frattini factor [ 546, 5 ]. 6 has Frattini factor [ 546, 6 ]. 7 has Frattini factor [ 546, 7 ]. 8 has Frattini factor [ 546, 8 ]. 9 has Frattini factor [ 546, 9 ]. 10 has Frattini factor [ 546, 10 ]. 11 has Frattini factor [ 546, 11 ]. 12 has Frattini factor [ 546, 12 ]. 13 has Frattini factor [ 546, 13 ]. 14 has Frattini factor [ 546, 14 ]. 15 has Frattini factor [ 546, 15 ]. 16 has Frattini factor [ 546, 16 ]. 17 has Frattini factor [ 546, 17 ]. 18 has Frattini factor [ 546, 18 ]. 19 has Frattini factor [ 546, 19 ]. 20 has Frattini factor [ 546, 20 ]. 21 has Frattini factor [ 546, 21 ]. 22 has Frattini factor [ 546, 22 ]. 23 has Frattini factor [ 546, 23 ]. 24 has Frattini factor [ 546, 24 ]. 25 - 77 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.