Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₂₁

Direct product G=N×Q with N=C₄ and Q=Dic₂₁

		d	ρ	Label	ID
C₄×Dic₂₁		336		C4xDic21	336,97

Semidirect products G=N:Q with N=C₄ and Q=Dic₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₂₁ = C₈₄⋊C₄	φ: Dic₂₁/C₄₂ → C₂ ⊆ Aut C₄	336		C4:Dic21	336,99

Non-split extensions G=N.Q with N=C₄ and Q=Dic₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₂₁ = C₈₄.C₄	φ: Dic₂₁/C₄₂ → C₂ ⊆ Aut C₄	168	2	C4.Dic21	336,96
C₄.₂Dic₂₁ = C₂₁⋊C₁₆	central extension (φ=1)	336	2	C4.2Dic21	336,5
C₄.₃Dic₂₁ = C₂×C₂₁⋊C₈	central extension (φ=1)	336		C4.3Dic21	336,95

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Extensions 1→N→G→Q→1 with N=C4 and Q=Dic21