Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄²⋊C₆

Direct product G=N×Q with N=C₃ and Q=C₄²⋊C₆

		d	ρ	Label	ID
C₃×C₄²⋊C₆		48	6	C3xC4^2:C6	288,635

Semidirect products G=N:Q with N=C₃ and Q=C₄²⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₄²⋊C₆) = C₄²⋊C₃⋊S₃	φ: C₄²⋊C₆/C₄²⋊C₃ → C₂ ⊆ Aut C₃	48	6	C3:(C4^2:C6)	288,406

Non-split extensions G=N.Q with N=C₃ and Q=C₄²⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄²⋊C₆) = C₄²⋊C₁₈	central extension (φ=1)	72	6	C3.(C4^2:C6)	288,74

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Extensions 1→N→G→Q→1 with N=C3 and Q=C42⋊C6