Extensions 1→N→G→Q→1 with N=C₂₇ and Q=C₄○D₄

Direct product G=N×Q with N=C₂₇ and Q=C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₂₇		216	2	C4oD4xC27	432,56

Semidirect products G=N:Q with N=C₂₇ and Q=C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇⋊₁(C₄○D₄) = D₁₀₈⋊₅C₂	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Aut C₂₇	216	2	C27:1(C4oD4)	432,46
C₂₇⋊₂(C₄○D₄) = D₄⋊₂D₂₇	φ: C₄○D₄/D₄ → C₂ ⊆ Aut C₂₇	216	4-	C27:2(C4oD4)	432,48
C₂₇⋊₃(C₄○D₄) = Q₈⋊₃D₂₇	φ: C₄○D₄/Q₈ → C₂ ⊆ Aut C₂₇	216	4+	C27:3(C4oD4)	432,50

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