In the title compound, C(21)H(16)F(2)N(2), the dihedral angle between the fluoro-phenyl groups is 66.34 (8)°, and the dihedral angle between the envelope-configured pyrazole group (N/N/C/C/C) and the benzene ring is 11.50 (9)°. The dihedral angles between the benzene and the two fluoro-substituted phenyl groups are 77.7 (6) and 16.7 (5)°. Weak C-H⋯π interactions contribute to the stability of t...

Let G be a group and S subset of such that e ∉ S−1 ⊆ S. Then Cay(G, S) is simple undirected Cayley graph whose vertices are all elements two x y adjacent if only xy−1 ∈ The size called the valency S). In this paper, we determined structure Cay(D2n, S), where D2n dihedral order 2n, n ≥ 3 |S| = 1, 2 or 3.

The title compound, C16H12N2O8, exhibits two near-planar aromatic ester groups with ar-yl-ester dihedral angles of 2.1 (2) and 4.2 (3)°. The dihedral angle between the aromatic rings is 58.0 (1)°. The two nitro groups are tilted slightly from the plane of the aromatic rings, making dihedral angles of 14.1 (1) and 8.2 (2)°. In the crystal, mol-ecules are connected by weak C-H⋯O inter-actions, fo...

In the mol-ecule of the title compound, C(15)H(13)Cl(2)N(3)O(2), the triazole ring is oriented at dihedral angles of 14.8 (2) and 81.5 (1)° to the furan and dichloro-benzene rings, respectively. The dihedral angle between the dichloro-benzene and furan rings is 86.3 (2)°. An intra-molecular C-H⋯O hydrogen bond results in the formation of a planar [maximum deviation 0.012 (2) Å] five-membered ri...

In the imidazo[2,1-b][1,3]thia-zole group of the title compound, C(21)H(17)ClN(4)O(2)S, the dihedral angle between the thia-zole and imidazole rings is 1.9 (2)°. The mean plane of this group makes dihedral angles of 5.5 (2) and 39.9 (2)° with the benzene rings of the chloro-phenyl and meth-oxy-phenyl groups, respectively. The dihedral angle between these two benzene rings is 34.4 (2)°. In the c...

Let $C_n$, $Q_n$ and $D_n$ be the cyclic group, quaternion group dihedral of order $n$, respectively. Recently, structures unit groups finite algebras $2$-groups that contain a normal subgroup index $2$ have been studied. The $D_{2n}, n\geq 3$ generalized $Q_{4n}, 2$ also $2$. $FQ_{12}$, $FD_{12}$, $F(C_2 \times Q_{12})$ D_{12})$ over field $F$ are well known. In this article, we continue inves...