Extensions 1→N→G→Q→1 with N=C₂₁ and Q=A₄

Direct product G=N×Q with N=C₂₁ and Q=A₄

		d	ρ	Label	ID
A₄×C₂₁		84	3	A4xC21	252,39

Semidirect products G=N:Q with N=C₂₁ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊A₄ = C₃×C₇⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂₁	84	3	C21:A4	252,40

Non-split extensions G=N.Q with N=C₂₁ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.A₄ = C₂₁.A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂₁	126	3	C21.A4	252,11
C₂₁.₂A₄ = C₇×C₃.A₄	central extension (φ=1)	126	3	C21.2A4	252,10

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Extensions 1→N→G→Q→1 with N=C21 and Q=A4