Extensions 1→N→G→Q→1 with N=C₆ and Q=D₂₇

Direct product G=N×Q with N=C₆ and Q=D₂₇

		d	ρ	Label	ID
C₆×D₂₇		108	2	C6xD27	324,65

Semidirect products G=N:Q with N=C₆ and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊D₂₇ = C₂×C₂₇⋊S₃	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₆	162		C6:D27	324,76

Non-split extensions G=N.Q with N=C₆ and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₂₇ = Dic₈₁	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₆	324	2-	C6.1D27	324,1
C₆.₂D₂₇ = D₁₆₂	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₆	162	2+	C6.2D27	324,4
C₆.₃D₂₇ = C₂₇⋊Dic₃	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₆	324		C6.3D27	324,21
C₆.₄D₂₇ = C₃×Dic₂₇	central extension (φ=1)	108	2	C6.4D27	324,10

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Extensions 1→N→G→Q→1 with N=C6 and Q=D27