Extensions 1→N→G→Q→1 with N=D₄₂ and Q=C₂

Direct product G=N×Q with N=D₄₂ and Q=C₂

		d	ρ	Label	ID
C₂²×D₂₁		84		C2^2xD21	168,56

Semidirect products G=N:Q with N=D₄₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₂⋊₁C₂ = D₈₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₂	84	2+	D42:1C2	168,36
D₄₂⋊₂C₂ = C₂₁⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₂	84	2	D42:2C2	168,38
D₄₂⋊₃C₂ = C₃⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄₂	84	4+	D42:3C2	168,16
D₄₂⋊₄C₂ = C₇⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₂	84	4+	D42:4C2	168,17
D₄₂⋊₅C₂ = C₂×S₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄₂	42	4+	D42:5C2	168,50

Non-split extensions G=N.Q with N=D₄₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₂.C₂ = D₂₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₂	84	4+	D42.C2	168,14
D₄₂.₂C₂ = C₄×D₂₁	φ: trivial image	84	2	D42.2C2	168,35

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