Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₂₇

Direct product G=N×Q with N=C₂³ and Q=D₂₇

		d	ρ	Label	ID
C₂³×D₂₇		216		C2^3xD27	432,227

Semidirect products G=N:Q with N=C₂³ and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₂₇ = C₂×C₉.S₄	φ: D₂₇/C₉ → S₃ ⊆ Aut C₂³	54	6+	C2^3:D27	432,224
C₂³⋊₂D₂₇ = C₂×C₂₇⋊D₄	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₂³	216		C2^3:2D27	432,52

Non-split extensions G=N.Q with N=C₂³ and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.D₂₇ = C₁₈.S₄	φ: D₂₇/C₉ → S₃ ⊆ Aut C₂³	108	6-	C2^3.D27	432,39
C₂³.₂D₂₇ = C₅₄.D₄	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₂³	216		C2^3.2D27	432,19
C₂³.₃D₂₇ = C₂²×Dic₂₇	central extension (φ=1)	432		C2^3.3D27	432,51

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Extensions 1→N→G→Q→1 with N=C23 and Q=D27