Extensions 1→N→G→Q→1 with N=C₄₂ and Q=C₂

Direct product G=NxQ with N=C₄₂ and Q=C₂

		d	ρ	Label	ID
C₂xC₄₂		84		C2xC42	84,15

Semidirect products G=N:Q with N=C₄₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₂:₁C₂ = D₄₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄₂	42	2+	C42:1C2	84,14
C₄₂:₂C₂ = C₆xD₇	φ: C₂/C₁ → C₂ ⊆ Aut C₄₂	42	2	C42:2C2	84,12
C₄₂:₃C₂ = S₃xC₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄₂	42	2	C42:3C2	84,13

Non-split extensions G=N.Q with N=C₄₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₂.₁C₂ = Dic₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₄₂	84	2-	C42.1C2	84,5
C₄₂.₂C₂ = C₃xDic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₄₂	84	2	C42.2C2	84,4
C₄₂.₃C₂ = C₇xDic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₄₂	84	2	C42.3C2	84,3

Extensions 1→N→G→Q→1 with N=C42 and Q=C2