Groups of order 1400

Statistics at a glance
The order 1400 has prime factorization:

$$1400 = 2^3 \cdot 5^2 \cdot 7^1 = 8 \cdot 25 \cdot 7$$

GAP implementation
gap> SmallGroupsInformation(1400);

There are 153 groups of order 1400. They are sorted by their Frattini factors. 1 has Frattini factor [ 70, 1 ]. 2 has Frattini factor [ 70, 2 ]. 3 has Frattini factor [ 70, 3 ]. 4 has Frattini factor [ 70, 4 ]. 5 has Frattini factor [ 140, 5 ]. 6 has Frattini factor [ 140, 6 ]. 7 - 13 have Frattini factor [ 140, 7 ]. 14 - 18 have Frattini factor [ 140, 8 ]. 19 - 23 have Frattini factor [ 140, 9 ]. 24 - 28 have Frattini factor [ 140, 10 ]. 29 - 31 have Frattini factor [ 140, 11 ]. 32 has Frattini factor [ 280, 32 ]. 33 has Frattini factor [ 280, 33 ]. 34 has Frattini factor [ 280, 34 ]. 35 has Frattini factor [ 280, 35 ]. 36 has Frattini factor [ 280, 36 ]. 37 has Frattini factor [ 280, 37 ]. 38 has Frattini factor [ 280, 38 ]. 39 has Frattini factor [ 280, 39 ]. 40 has Frattini factor [ 280, 40 ]. 41 has Frattini factor [ 350, 5 ]. 42 has Frattini factor [ 350, 6 ]. 43 has Frattini factor [ 350, 7 ]. 44 has Frattini factor [ 350, 8 ]. 45 has Frattini factor [ 350, 9 ]. 46 has Frattini factor [ 350, 10 ]. 47 has Frattini factor [ 700, 18 ]. 48 has Frattini factor [ 700, 19 ]. 49 has Frattini factor [ 700, 20 ]. 50 has Frattini factor [ 700, 21 ]. 51 has Frattini factor [ 700, 22 ]. 52 has Frattini factor [ 700, 23 ]. 53 has Frattini factor [ 700, 24 ]. 54 has Frattini factor [ 700, 25 ]. 55 - 61 have Frattini factor [ 700, 26 ]. 62 - 68 have Frattini factor [ 700, 27 ]. 69 - 73 have Frattini factor [ 700, 28 ]. 74 - 80 have Frattini factor [ 700, 29 ]. 81 - 85 have Frattini factor [ 700, 30 ]. 86 - 90 have Frattini factor [ 700, 31 ]. 91 - 95 have Frattini factor [ 700, 32 ]. 96 - 100 have Frattini factor [ 700, 33 ]. 101 - 105 have Frattini factor [ 700, 34 ]. 106 - 110 have Frattini factor [ 700, 35 ]. 111 - 113 have Frattini factor [ 700, 36 ]. 114 - 153 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.