Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄²⋊₂C₂

Direct product G=N×Q with N=C₃ and Q=C₃×C₄²⋊₂C₂

		d	ρ	Label	ID
C₃²×C₄²⋊₂C₂		144		C3^2xC4^2:2C2	288,823

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄²⋊₂C₂

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₃×C₄²⋊₂C₂) = C₃×C₄²⋊₃S₃	φ: C₃×C₄²⋊₂C₂/C₄×C₁₂ → C₂ ⊆ Aut C₃	96	C3:1(C3xC4^2:2C2)	288,647
C₃⋊₂(C₃×C₄²⋊₂C₂) = C₃×C₂³.₈D₆	φ: C₃×C₄²⋊₂C₂/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	48	C3:2(C3xC4^2:2C2)	288,650
C₃⋊₃(C₃×C₄²⋊₂C₂) = C₃×C₄⋊C₄⋊S₃	φ: C₃×C₄²⋊₂C₂/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96	C3:3(C3xC4^2:2C2)	288,669

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄²⋊₂C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₄²⋊₂C₂) = C₉×C₄²⋊₂C₂	central extension (φ=1)	144		C3.(C3xC4^2:2C2)	288,176

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C42⋊2C2