Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂×A₄

Direct product G=N×Q with N=D₄ and Q=C₂×A₄

		d	ρ	Label	ID
C₂×D₄×A₄		24		C2xD4xA4	192,1497

Semidirect products G=N:Q with N=D₄ and Q=C₂×A₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₂×A₄) = A₄×D₈	φ: C₂×A₄/A₄ → C₂ ⊆ Out D₄	24	6+	D4:(C2xA4)	192,1014
D₄⋊₂(C₂×A₄) = A₄×C₄○D₄	φ: trivial image	24	6	D4:2(C2xA4)	192,1501

Non-split extensions G=N.Q with N=D₄ and Q=C₂×A₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂×A₄) = A₄×SD₁₆	φ: C₂×A₄/A₄ → C₂ ⊆ Out D₄	24	6	D4.1(C2xA4)	192,1015
D₄.₂(C₂×A₄) = SD₁₆.A₄	φ: C₂×A₄/A₄ → C₂ ⊆ Out D₄	32	4	D4.2(C2xA4)	192,1018
D₄.₃(C₂×A₄) = D₈.A₄	φ: C₂×A₄/A₄ → C₂ ⊆ Out D₄	32	4-	D4.3(C2xA4)	192,1019
D₄.₄(C₂×A₄) = C₂×D₄.A₄	φ: trivial image	32		D4.4(C2xA4)	192,1503
D₄.₅(C₂×A₄) = 2_-¹⁺⁴⋊₃C₆	φ: trivial image	32	4	D4.5(C2xA4)	192,1504

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