Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₄₂

Direct product G=N×Q with N=C₂² and Q=C₂×C₄₂

		d	ρ	Label	ID
C₂³×C₄₂		336		C2^3xC42	336,228

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₄₂) = A₄×C₂×C₁₄	φ: C₂×C₄₂/C₂×C₁₄ → C₃ ⊆ Aut C₂²	84		C2^2:(C2xC42)	336,221
C₂²⋊₂(C₂×C₄₂) = D₄×C₄₂	φ: C₂×C₄₂/C₄₂ → C₂ ⊆ Aut C₂²	168		C2^2:2(C2xC42)	336,205

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₄₂) = C₄○D₄×C₂₁	φ: C₂×C₄₂/C₄₂ → C₂ ⊆ Aut C₂²	168	2	C2^2.(C2xC42)	336,207
C₂².₂(C₂×C₄₂) = C₂²⋊C₄×C₂₁	central extension (φ=1)	168		C2^2.2(C2xC42)	336,107
C₂².₃(C₂×C₄₂) = C₄⋊C₄×C₂₁	central extension (φ=1)	336		C2^2.3(C2xC42)	336,108
C₂².₄(C₂×C₄₂) = Q₈×C₄₂	central extension (φ=1)	336		C2^2.4(C2xC42)	336,206

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