Extensions 1→N→G→Q→1 with N=C₃²×C₂₇ and Q=C₂

Direct product G=N×Q with N=C₃²×C₂₇ and Q=C₂

		d	ρ	Label	ID
C₃²×C₅₄		486		C3^2xC54	486,207

Semidirect products G=N:Q with N=C₃²×C₂₇ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₂₇)⋊₁C₂ = S₃×C₃×C₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₂₇	162		(C3^2xC27):1C2	486,112
(C₃²×C₂₇)⋊₂C₂ = C₃⋊S₃×C₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₂₇	162		(C3^2xC27):2C2	486,161
(C₃²×C₂₇)⋊₃C₂ = C₃²×D₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₂₇	162		(C3^2xC27):3C2	486,111
(C₃²×C₂₇)⋊₄C₂ = C₃×C₂₇⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₂₇	162		(C3^2xC27):4C2	486,160
(C₃²×C₂₇)⋊₅C₂ = C₃²⋊₄D₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₃²×C₂₇	243		(C3^2xC27):5C2	486,184

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