Extensions 1→N→G→Q→1 with N=A₄⋊C₄ and Q=C₂²

Direct product G=N×Q with N=A₄⋊C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×A₄⋊C₄		48		C2^2xA4:C4	192,1487

Semidirect products G=N:Q with N=A₄⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊C₄⋊₁C₂² = D₄×S₄	φ: C₂²/C₂ → C₂ ⊆ Out A₄⋊C₄	12	6+	A4:C4:1C2^2	192,1472
A₄⋊C₄⋊₂C₂² = C₂×A₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out A₄⋊C₄	24		A4:C4:2C2^2	192,1488
A₄⋊C₄⋊₃C₂² = C₂×C₄×S₄	φ: trivial image	24		A4:C4:3C2^2	192,1469

Non-split extensions G=N.Q with N=A₄⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊C₄.₁C₂² = C₂×A₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out A₄⋊C₄	48		A4:C4.1C2^2	192,1468
A₄⋊C₄.₂C₂² = C₂⁴.₁₀D₆	φ: C₂²/C₂ → C₂ ⊆ Out A₄⋊C₄	24	6	A4:C4.2C2^2	192,1471
A₄⋊C₄.₃C₂² = D₄⋊₂S₄	φ: C₂²/C₂ → C₂ ⊆ Out A₄⋊C₄	24	6	A4:C4.3C2^2	192,1473
A₄⋊C₄.₄C₂² = Q₈×S₄	φ: C₂²/C₂ → C₂ ⊆ Out A₄⋊C₄	24	6-	A4:C4.4C2^2	192,1477
A₄⋊C₄.₅C₂² = Q₈⋊₄S₄	φ: trivial image	24	6	A4:C4.5C2^2	192,1478

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