Extensions 1→N→G→Q→1 with N=C₃×C₂₇ and Q=C₆

Direct product G=N×Q with N=C₃×C₂₇ and Q=C₆

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

Semidirect products G=N:Q with N=C₃×C₂₇ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₂₇)⋊₁C₆ = C₃²⋊D₂₇	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₂₇	81		(C3xC27):1C6	486,17
(C₃×C₂₇)⋊₂C₆ = He₃.D₉	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₂₇	81	6+	(C3xC27):2C6	486,27
(C₃×C₂₇)⋊₃C₆ = He₃.₂D₉	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₂₇	81	6+	(C3xC27):3C6	486,29
(C₃×C₂₇)⋊₄C₆ = C₃×C₂₇⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₂₇	54	6	(C3xC27):4C6	486,113
(C₃×C₂₇)⋊₅C₆ = C₃³.₅D₉	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₂₇	81		(C3xC27):5C6	486,162
(C₃×C₂₇)⋊₆C₆ = He₃.₅D₉	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₂₇	81	6+	(C3xC27):6C6	486,163
(C₃×C₂₇)⋊₇C₆ = S₃×C₂₇⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₂₇	54	6	(C3xC27):7C6	486,114
(C₃×C₂₇)⋊₈C₆ = C₂×C₃²⋊C₂₇	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₂₇	162		(C3xC27):8C6	486,72
(C₃×C₂₇)⋊₉C₆ = C₂×C₉.₅He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₂₇	162	3	(C3xC27):9C6	486,79
(C₃×C₂₇)⋊₁₀C₆ = C₂×C₉.₆He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₂₇	162	3	(C3xC27):10C6	486,80
(C₃×C₂₇)⋊₁₁C₆ = C₆×C₂₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₂₇	162		(C3xC27):11C6	486,208
(C₃×C₂₇)⋊₁₂C₆ = C₂×C₂₇○He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₂₇	162	3	(C3xC27):12C6	486,209
(C₃×C₂₇)⋊₁₃C₆ = S₃×C₃×C₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₂₇	162		(C3xC27):13C6	486,112
(C₃×C₂₇)⋊₁₄C₆ = C₃²×D₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₂₇	162		(C3xC27):14C6	486,111
(C₃×C₂₇)⋊₁₅C₆ = C₃×C₂₇⋊S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₂₇	162		(C3xC27):15C6	486,160

Non-split extensions G=N.Q with N=C₃×C₂₇ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₂₇).C₆ = C₂₇⋊₃C₁₈	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₂₇	54	6	(C3xC27).C6	486,15
(C₃×C₂₇).₂C₆ = C₂×C₉⋊C₂₇	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₂₇	486		(C3xC27).2C6	486,81
(C₃×C₂₇).₃C₆ = C₂×C₂₇⋊₂C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₂₇	486		(C3xC27).3C6	486,71
(C₃×C₂₇).₄C₆ = C₂×C₈₁⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₂₇	162	3	(C3xC27).4C6	486,84
(C₃×C₂₇).₅C₆ = S₃×C₈₁	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₂₇	162	2	(C3xC27).5C6	486,33
(C₃×C₂₇).₆C₆ = C₉×D₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₂₇	54	2	(C3xC27).6C6	486,13

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