Extensions 1→N→G→Q→1 with N=C₃×C₃²⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₃×C₃²⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₆×C₃²⋊C₄		24	4	C6xC3^2:C4	216,168

Semidirect products G=N:Q with N=C₃×C₃²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃²⋊C₄)⋊₁C₂ = C₃²⋊₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃²⋊C₄	12	8+	(C3xC3^2:C4):1C2	216,159
(C₃×C₃²⋊C₄)⋊₂C₂ = S₃×C₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃²⋊C₄	12	8+	(C3xC3^2:C4):2C2	216,156
(C₃×C₃²⋊C₄)⋊₃C₂ = C₃×S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃²⋊C₄	12	4	(C3xC3^2:C4):3C2	216,157

Non-split extensions G=N.Q with N=C₃×C₃²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃²⋊C₄).₁C₂ = C₃×F₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃²⋊C₄	24	8	(C3xC3^2:C4).1C2	216,154
(C₃×C₃²⋊C₄).₂C₂ = C₃³⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃²⋊C₄	24	8	(C3xC3^2:C4).2C2	216,161
(C₃×C₃²⋊C₄).₃C₂ = C₃⋊F₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃²⋊C₄	24	8	(C3xC3^2:C4).3C2	216,155
(C₃×C₃²⋊C₄).₄C₂ = C₃×PSU₃(𝔽₂)	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃²⋊C₄	24	8	(C3xC3^2:C4).4C2	216,160

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