Extensions 1→N→G→Q→1 with N=C₄² and Q=A₄

Direct product G=N×Q with N=C₄² and Q=A₄

		d	ρ	Label	ID
A₄×C₄²		48		A4xC4^2	192,993

Semidirect products G=N:Q with N=C₄² and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊A₄ = C₄²⋊A₄	φ: A₄/C₁ → A₄ ⊆ Aut C₄²	16	12+	C4^2:A4	192,1023
C₄²⋊₂A₄ = C₄²⋊₂A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₄²	24		C4^2:2A4	192,1020

Non-split extensions G=N.Q with N=C₄² and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².A₄ = C₄².A₄	φ: A₄/C₁ → A₄ ⊆ Aut C₄²	48	12-	C4^2.A4	192,1025
C₄².₂A₄ = C₈²⋊C₃	φ: A₄/C₂² → C₃ ⊆ Aut C₄²	24	3	C4^2.2A4	192,3
C₄².₃A₄ = C₄×C₄.A₄	central extension (φ=1)	64		C4^2.3A4	192,997

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Extensions 1→N→G→Q→1 with N=C42 and Q=A4