Extensions 1→N→G→Q→1 with N=C₄ and Q=D₃₁

Direct product G=N×Q with N=C₄ and Q=D₃₁

		d	ρ	Label	ID
C₄×D₃₁		124	2	C4xD31	248,4

Semidirect products G=N:Q with N=C₄ and Q=D₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₃₁ = D₁₂₄	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₄	124	2+	C4:D31	248,5

Non-split extensions G=N.Q with N=C₄ and Q=D₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₃₁ = Dic₆₂	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₄	248	2-	C4.D31	248,3
C₄.₂D₃₁ = C₃₁⋊C₈	central extension (φ=1)	248	2	C4.2D31	248,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=D31