Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×A₄

Direct product G=N×Q with N=Q₈ and Q=C₂×A₄

		d	ρ	Label	ID
C₂×Q₈×A₄		48		C2xQ8xA4	192,1499

Semidirect products G=N:Q with N=Q₈ and Q=C₂×A₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×A₄) = C₂×Q₈⋊A₄	φ: C₂×A₄/C₂³ → C₃ ⊆ Out Q₈	48		Q8:1(C2xA4)	192,1506
Q₈⋊₂(C₂×A₄) = C₂×C₂³⋊A₄	φ: C₂×A₄/C₂³ → C₃ ⊆ Out Q₈	16		Q8:2(C2xA4)	192,1508
Q₈⋊₃(C₂×A₄) = A₄×SD₁₆	φ: C₂×A₄/A₄ → C₂ ⊆ Out Q₈	24	6	Q8:3(C2xA4)	192,1015
Q₈⋊₄(C₂×A₄) = A₄×C₄○D₄	φ: trivial image	24	6	Q8:4(C2xA4)	192,1501

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×A₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×A₄) = C₄○D₄⋊A₄	φ: C₂×A₄/C₂³ → C₃ ⊆ Out Q₈	24	6	Q8.1(C2xA4)	192,1507
Q₈.₂(C₂×A₄) = 2₊¹⁺⁴.₃C₆	φ: C₂×A₄/C₂³ → C₃ ⊆ Out Q₈	16	4	Q8.2(C2xA4)	192,1509
Q₈.₃(C₂×A₄) = A₄×Q₁₆	φ: C₂×A₄/A₄ → C₂ ⊆ Out Q₈	48	6-	Q8.3(C2xA4)	192,1016
Q₈.₄(C₂×A₄) = Q₁₆.A₄	φ: C₂×A₄/A₄ → C₂ ⊆ Out Q₈	48	4+	Q8.4(C2xA4)	192,1017
Q₈.₅(C₂×A₄) = SD₁₆.A₄	φ: C₂×A₄/A₄ → C₂ ⊆ Out Q₈	32	4	Q8.5(C2xA4)	192,1018
Q₈.₆(C₂×A₄) = C₂×Q₈.A₄	φ: trivial image	48		Q8.6(C2xA4)	192,1502
Q₈.₇(C₂×A₄) = 2_-¹⁺⁴⋊₃C₆	φ: trivial image	32	4	Q8.7(C2xA4)	192,1504

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