Extensions 1→N→G→Q→1 with N=C₃×C₄²⋊C₃ and Q=C₃

Direct product G=N×Q with N=C₃×C₄²⋊C₃ and Q=C₃

		d	ρ	Label	ID
C₃²×C₄²⋊C₃		108		C3^2xC4^2:C3	432,463

Semidirect products G=N:Q with N=C₃×C₄²⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄²⋊C₃)⋊C₃ = C₄²⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₄²⋊C₃	36	3	(C3xC4^2:C3):C3	432,103

Non-split extensions G=N.Q with N=C₃×C₄²⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄²⋊C₃).C₃ = C₄²⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₄²⋊C₃	108	3	(C3xC4^2:C3).C3	432,100
(C₃×C₄²⋊C₃).₂C₃ = C₉×C₄²⋊C₃	φ: trivial image	108	3	(C3xC4^2:C3).2C3	432,99

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Extensions 1→N→G→Q→1 with N=C3×C42⋊C3 and Q=C3