Extensions 1→N→G→Q→1 with N=D₄₂ and Q=C₄

Direct product G=N×Q with N=D₄₂ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×D₂₁		168		C2xC4xD21	336,195

Semidirect products G=N:Q with N=D₄₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₂⋊₁C₄ = C₂.D₈₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₂	168		D42:1C4	336,100
D₄₂⋊₂C₄ = D₄₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₂	168		D42:2C4	336,44
D₄₂⋊₃C₄ = C₂×D₂₁⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₂	168		D42:3C4	336,156

Non-split extensions G=N.Q with N=D₄₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₂.₁C₄ = C₅₆⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out D₄₂	168	2	D42.1C4	336,91
D₄₂.₂C₄ = D₂₁⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₄₂	168	4	D42.2C4	336,25
D₄₂.₃C₄ = D₄₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₂	168	4	D42.3C4	336,28
D₄₂.₄C₄ = C₈×D₂₁	φ: trivial image	168	2	D42.4C4	336,90

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