Extensions 1→N→G→Q→1 with N=C₄ and Q=D₂₁

Direct product G=N×Q with N=C₄ and Q=D₂₁

		d	ρ	Label	ID
C₄×D₂₁		84	2	C4xD21	168,35

Semidirect products G=N:Q with N=C₄ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₂₁ = D₈₄	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₄	84	2+	C4:D21	168,36

Non-split extensions G=N.Q with N=C₄ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₂₁ = Dic₄₂	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₄	168	2-	C4.D21	168,34
C₄.₂D₂₁ = C₂₁⋊C₈	central extension (φ=1)	168	2	C4.2D21	168,5

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Extensions 1→N→G→Q→1 with N=C4 and Q=D21