Extensions 1→N→G→Q→1 with N=Q₈×C₂₇ and Q=C₂

Direct product G=N×Q with N=Q₈×C₂₇ and Q=C₂

		d	ρ	Label	ID
Q₈×C₅₄		432		Q8xC54	432,55

Semidirect products G=N:Q with N=Q₈×C₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₇)⋊₁C₂ = Q₈⋊₂D₂₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₇	216	4+	(Q8xC27):1C2	432,18
(Q₈×C₂₇)⋊₂C₂ = Q₈×D₂₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₇	216	4-	(Q8xC27):2C2	432,49
(Q₈×C₂₇)⋊₃C₂ = Q₈⋊₃D₂₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₇	216	4+	(Q8xC27):3C2	432,50
(Q₈×C₂₇)⋊₄C₂ = SD₁₆×C₂₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₇	216	2	(Q8xC27):4C2	432,26
(Q₈×C₂₇)⋊₅C₂ = C₄○D₄×C₂₇	φ: trivial image	216	2	(Q8xC27):5C2	432,56

Non-split extensions G=N.Q with N=Q₈×C₂₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₇).₁C₂ = C₂₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₇	432	4-	(Q8xC27).1C2	432,17
(Q₈×C₂₇).₂C₂ = Q₁₆×C₂₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₇	432	2	(Q8xC27).2C2	432,27

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