Extensions 1→N→G→Q→1 with N=C₂₇ and Q=D₆

Direct product G=N×Q with N=C₂₇ and Q=D₆

		d	ρ	Label	ID
S₃×C₅₄		108	2	S3xC54	324,66

Semidirect products G=N:Q with N=C₂₇ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇⋊₁D₆ = S₃×D₂₇	φ: D₆/S₃ → C₂ ⊆ Aut C₂₇	54	4+	C27:1D6	324,38
C₂₇⋊₂D₆ = C₂×C₂₇⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₂₇	162		C27:2D6	324,76

Non-split extensions G=N.Q with N=C₂₇ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇.D₆ = D₁₆₂	φ: D₆/C₆ → C₂ ⊆ Aut C₂₇	162	2+	C27.D6	324,4

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Extensions 1→N→G→Q→1 with N=C27 and Q=D6