Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=A₄

Direct product G=N×Q with N=C₄○D₄ and Q=A₄

		d	ρ	Label	ID
A₄×C₄○D₄		24	6	A4xC4oD4	192,1501

Semidirect products G=N:Q with N=C₄○D₄ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁A₄ = C₄○D₄⋊A₄	φ: A₄/C₂² → C₃ ⊆ Out C₄○D₄	24	6	C4oD4:1A4	192,1507
C₄○D₄⋊₂A₄ = 2₊¹⁺⁴.₃C₆	φ: A₄/C₂² → C₃ ⊆ Out C₄○D₄	16	4	C4oD4:2A4	192,1509

Non-split extensions G=N.Q with N=C₄○D₄ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.A₄ = 2_-¹⁺⁴⋊₃C₆	φ: trivial image	32	4	C4oD4.A4	192,1504

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Extensions 1→N→G→Q→1 with N=C4○D4 and Q=A4