Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=C₂

Direct product G=N×Q with N=C₃×Q₈ and Q=C₂

		d	ρ	Label	ID
C₆×Q₈		48		C6xQ8	48,46

Semidirect products G=N:Q with N=C₃×Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁C₂ = Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈	24	4+	(C3xQ8):1C2	48,17
(C₃×Q₈)⋊₂C₂ = S₃×Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈	24	4-	(C3xQ8):2C2	48,40
(C₃×Q₈)⋊₃C₂ = Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈	24	4+	(C3xQ8):3C2	48,41
(C₃×Q₈)⋊₄C₂ = C₃×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈	24	2	(C3xQ8):4C2	48,26
(C₃×Q₈)⋊₅C₂ = C₃×C₄○D₄	φ: trivial image	24	2	(C3xQ8):5C2	48,47

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁C₂ = C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈	48	4-	(C3xQ8).1C2	48,18
(C₃×Q₈).₂C₂ = C₃×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₈	48	2	(C3xQ8).2C2	48,27

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