Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₄₂

Direct product G=NxQ with N=C₄ and Q=C₂xC₄₂

		d	ρ	Label	ID
C₂²xC₈₄		336		C2^2xC84	336,204

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂xC₄₂) = D₄xC₄₂	φ: C₂xC₄₂/C₄₂ → C₂ ⊆ Aut C₄	168		C4:(C2xC42)	336,205

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₄₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₄₂) = D₈xC₂₁	φ: C₂xC₄₂/C₄₂ → C₂ ⊆ Aut C₄	168	2	C4.1(C2xC42)	336,111
C₄.₂(C₂xC₄₂) = SD₁₆xC₂₁	φ: C₂xC₄₂/C₄₂ → C₂ ⊆ Aut C₄	168	2	C4.2(C2xC42)	336,112
C₄.₃(C₂xC₄₂) = Q₁₆xC₂₁	φ: C₂xC₄₂/C₄₂ → C₂ ⊆ Aut C₄	336	2	C4.3(C2xC42)	336,113
C₄.₄(C₂xC₄₂) = Q₈xC₄₂	φ: C₂xC₄₂/C₄₂ → C₂ ⊆ Aut C₄	336		C4.4(C2xC42)	336,206
C₄.₅(C₂xC₄₂) = C₄oD₄xC₂₁	φ: C₂xC₄₂/C₄₂ → C₂ ⊆ Aut C₄	168	2	C4.5(C2xC42)	336,207
C₄.₆(C₂xC₄₂) = M₄(2)xC₂₁	central extension (φ=1)	168	2	C4.6(C2xC42)	336,110

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