Extensions 1→N→G→Q→1 with N=C₄ and Q=D₂₇

Direct product G=N×Q with N=C₄ and Q=D₂₇

		d	ρ	Label	ID
C₄×D₂₇		108	2	C4xD27	216,5

Semidirect products G=N:Q with N=C₄ and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₂₇ = D₁₀₈	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₄	108	2+	C4:D27	216,6

Non-split extensions G=N.Q with N=C₄ and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₂₇ = Dic₅₄	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₄	216	2-	C4.D27	216,4
C₄.₂D₂₇ = C₂₇⋊C₈	central extension (φ=1)	216	2	C4.2D27	216,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=D27