Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃²×C₆

Direct product G=N×Q with N=C₄ and Q=C₃²×C₆

		d	ρ	Label	ID
C₃×C₆×C₁₂		216		C3xC6xC12	216,150

Semidirect products G=N:Q with N=C₄ and Q=C₃²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃²×C₆) = D₄×C₃³	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₄	108		C4:(C3^2xC6)	216,151

Non-split extensions G=N.Q with N=C₄ and Q=C₃²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃²×C₆) = Q₈×C₃³	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₄	216		C4.(C3^2xC6)	216,152

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Extensions 1→N→G→Q→1 with N=C4 and Q=C32×C6