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

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

		d	ρ	Label	ID
Q₈xD₂₇		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

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