Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅₃

Direct product G=NxQ with N=C₄ and Q=D₅₃

		d	ρ	Label	ID
C₄xD₅₃		212	2	C4xD53	424,5

Semidirect products G=N:Q with N=C₄ and Q=D₅₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:D₅₃ = D₂₁₂	φ: D₅₃/C₅₃ → C₂ ⊆ Aut C₄	212	2+	C4:D53	424,6

Non-split extensions G=N.Q with N=C₄ and Q=D₅₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₅₃ = Dic₁₀₆	φ: D₅₃/C₅₃ → C₂ ⊆ Aut C₄	424	2-	C4.D53	424,4
C₄.₂D₅₃ = C₅₃:₂C₈	central extension (φ=1)	424	2	C4.2D53	424,1

Extensions 1→N→G→Q→1 with N=C4 and Q=D53