Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄₂

Direct product G=N×Q with N=C₂² and Q=D₄₂

		d	ρ	Label	ID
C₂³×D₂₁		168		C2^3xD21	336,227

Semidirect products G=N:Q with N=C₂² and Q=D₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊D₄₂ = C₂×C₇⋊S₄	φ: D₄₂/C₁₄ → S₃ ⊆ Aut C₂²	42	6+	C2^2:D42	336,215
C₂²⋊₂D₄₂ = D₄×D₂₁	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₂²	84	4+	C2^2:2D42	336,198
C₂²⋊₃D₄₂ = C₂×C₂₁⋊₇D₄	φ: D₄₂/C₄₂ → C₂ ⊆ Aut C₂²	168		C2^2:3D42	336,203

Non-split extensions G=N.Q with N=C₂² and Q=D₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₄₂ = D₄⋊₂D₂₁	φ: D₄₂/D₂₁ → C₂ ⊆ Aut C₂²	168	4-	C2^2.1D42	336,199
C₂².₂D₄₂ = D₈₄⋊₁₁C₂	φ: D₄₂/C₄₂ → C₂ ⊆ Aut C₂²	168	2	C2^2.2D42	336,197
C₂².₃D₄₂ = C₄×Dic₂₁	central extension (φ=1)	336		C2^2.3D42	336,97
C₂².₄D₄₂ = C₄₂.₄Q₈	central extension (φ=1)	336		C2^2.4D42	336,98
C₂².₅D₄₂ = C₈₄⋊C₄	central extension (φ=1)	336		C2^2.5D42	336,99
C₂².₆D₄₂ = C₂.D₈₄	central extension (φ=1)	168		C2^2.6D42	336,100
C₂².₇D₄₂ = C₄₂.₃₈D₄	central extension (φ=1)	168		C2^2.7D42	336,105
C₂².₈D₄₂ = C₂×Dic₄₂	central extension (φ=1)	336		C2^2.8D42	336,194
C₂².₉D₄₂ = C₂×C₄×D₂₁	central extension (φ=1)	168		C2^2.9D42	336,195
C₂².₁₀D₄₂ = C₂×D₈₄	central extension (φ=1)	168		C2^2.10D42	336,196
C₂².₁₁D₄₂ = C₂²×Dic₂₁	central extension (φ=1)	336		C2^2.11D42	336,202

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