Extensions 1→N→G→Q→1 with N=C₃×C₃³⋊C₂ and Q=C₃

Direct product G=N×Q with N=C₃×C₃³⋊C₂ and Q=C₃

		d	ρ	Label	ID
C₃²×C₃³⋊C₂		54		C3^2xC3^3:C2	486,258

Semidirect products G=N:Q with N=C₃×C₃³⋊C₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃³⋊C₂)⋊₁C₃ = C₃×C₃³⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₃³⋊C₂	18	6	(C3xC3^3:C2):1C3	486,116
(C₃×C₃³⋊C₂)⋊₂C₃ = C₃×He₃⋊₄S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₃³⋊C₂	54		(C3xC3^3:C2):2C3	486,229

Non-split extensions G=N.Q with N=C₃×C₃³⋊C₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃³⋊C₂).₁C₃ = C₃³⋊₁C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₃³⋊C₂	18	6	(C3xC3^3:C2).1C3	486,18
(C₃×C₃³⋊C₂).₂C₃ = C₃³⋊C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₃³⋊C₂	54		(C3xC3^3:C2).2C3	486,136
(C₃×C₃³⋊C₂).₃C₃ = C₉×C₃³⋊C₂	φ: trivial image	162		(C3xC3^3:C2).3C3	486,241

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Extensions 1→N→G→Q→1 with N=C3×C33⋊C2 and Q=C3