Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₂₁

Direct product G=N×Q with N=C₂³ and Q=D₂₁

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

Semidirect products G=N:Q with N=C₂³ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₂₁ = C₂×C₇⋊S₄	φ: D₂₁/C₇ → S₃ ⊆ Aut C₂³	42	6+	C2^3:D21	336,215
C₂³⋊₂D₂₁ = C₂×C₂₁⋊₇D₄	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₂³	168		C2^3:2D21	336,203

Non-split extensions G=N.Q with N=C₂³ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.D₂₁ = A₄⋊Dic₇	φ: D₂₁/C₇ → S₃ ⊆ Aut C₂³	84	6-	C2^3.D21	336,120
C₂³.₂D₂₁ = C₄₂.₃₈D₄	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₂³	168		C2^3.2D21	336,105
C₂³.₃D₂₁ = C₂²×Dic₂₁	central extension (φ=1)	336		C2^3.3D21	336,202

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Extensions 1→N→G→Q→1 with N=C23 and Q=D21