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
C₂×Q₈⋊C₂₇		432		C2xQ8:C27	432,41

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₂₇⋊C₂ = Q₈⋊D₂₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₂₇	216	4+	Q8:C27:C2	432,38
Q₈⋊C₂₇⋊₂C₂ = Q₈.C₅₄	φ: trivial image	216	2	Q8:C27:2C2	432,42

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₂₇.C₂ = Q₈.D₂₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₂₇	432	4-	Q8:C27.C2	432,37

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