Extensions 1→N→G→Q→1 with N=C₃×C₃²⋊C₄ and Q=C₄

Direct product G=N×Q with N=C₃×C₃²⋊C₄ and Q=C₄

		d	ρ	Label	ID
C₁₂×C₃²⋊C₄		48	4	C12xC3^2:C4	432,630

Semidirect products G=N:Q with N=C₃×C₃²⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃²⋊C₄)⋊₁C₄ = (C₃×C₆).₉D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃²⋊C₄	48	8-	(C3xC3^2:C4):1C4	432,587
(C₃×C₃²⋊C₄)⋊₂C₄ = C₆.₂PSU₃(𝔽₂)	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃²⋊C₄	48	8	(C3xC3^2:C4):2C4	432,593
(C₃×C₃²⋊C₄)⋊₃C₄ = Dic₃×C₃²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃²⋊C₄	48	8-	(C3xC3^2:C4):3C4	432,567
(C₃×C₃²⋊C₄)⋊₄C₄ = C₃×C₃⋊S₃.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃²⋊C₄	48	4	(C3xC3^2:C4):4C4	432,575
(C₃×C₃²⋊C₄)⋊₅C₄ = C₃×C₂.PSU₃(𝔽₂)	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃²⋊C₄	48	8	(C3xC3^2:C4):5C4	432,591

Non-split extensions G=N.Q with N=C₃×C₃²⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃²⋊C₄).₁C₄ = C₆×F₉	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃²⋊C₄	48	8	(C3xC3^2:C4).1C4	432,751
(C₃×C₃²⋊C₄).₂C₄ = C₂×C₃⋊F₉	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃²⋊C₄	48	8	(C3xC3^2:C4).2C4	432,752

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