Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.A₄

Direct product G=N×Q with N=C₃ and Q=C₂³.A₄

		d	ρ	Label	ID
C₃×C₂³.A₄		36	6	C3xC2^3.A4	288,636

Semidirect products G=N:Q with N=C₃ and Q=C₂³.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂³.A₄) = (C₄×C₁₂)⋊C₆	φ: C₂³.A₄/C₄²⋊C₃ → C₂ ⊆ Aut C₃	36	6+	C3:(C2^3.A4)	288,405

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.A₄) = C₄²⋊₂C₁₈	central extension (φ=1)	36	6	C3.(C2^3.A4)	288,75

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Extensions 1→N→G→Q→1 with N=C3 and Q=C23.A4