Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₂₇

Direct product G=N×Q with N=Q₈ and Q=D₂₇

		d	ρ	Label	ID
Q₈×D₂₇		216	4-	Q8xD27	432,49

Semidirect products G=N:Q with N=Q₈ and Q=D₂₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₂₇ = Q₈⋊D₂₇	φ: D₂₇/C₉ → S₃ ⊆ Out Q₈	216	4+	Q8:D27	432,38
Q₈⋊₂D₂₇ = Q₈⋊₂D₂₇	φ: D₂₇/C₂₇ → C₂ ⊆ Out Q₈	216	4+	Q8:2D27	432,18
Q₈⋊₃D₂₇ = Q₈⋊₃D₂₇	φ: trivial image	216	4+	Q8:3D27	432,50

Non-split extensions G=N.Q with N=Q₈ and Q=D₂₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.D₂₇ = Q₈.D₂₇	φ: D₂₇/C₉ → S₃ ⊆ Out Q₈	432	4-	Q8.D27	432,37
Q₈.₂D₂₇ = C₂₇⋊Q₁₆	φ: D₂₇/C₂₇ → C₂ ⊆ Out Q₈	432	4-	Q8.2D27	432,17

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Extensions 1→N→G→Q→1 with N=Q8 and Q=D27