Extensions 1→N→G→Q→1 with N=C₄ and Q=D₃₉

Direct product G=N×Q with N=C₄ and Q=D₃₉

		d	ρ	Label	ID
C₄×D₃₉		156	2	C4xD39	312,38

Semidirect products G=N:Q with N=C₄ and Q=D₃₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₃₉ = D₁₅₆	φ: D₃₉/C₃₉ → C₂ ⊆ Aut C₄	156	2+	C4:D39	312,39

Non-split extensions G=N.Q with N=C₄ and Q=D₃₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₃₉ = Dic₇₈	φ: D₃₉/C₃₉ → C₂ ⊆ Aut C₄	312	2-	C4.D39	312,37
C₄.₂D₃₉ = C₃₉⋊₃C₈	central extension (φ=1)	312	2	C4.2D39	312,5

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Extensions 1→N→G→Q→1 with N=C4 and Q=D39