Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×A₄

Direct product G=N×Q with N=C₃ and Q=C₆×A₄

		d	ρ	Label	ID
A₄×C₃×C₆		54		A4xC3xC6	216,173

Semidirect products G=N:Q with N=C₃ and Q=C₆×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₆×A₄) = C₃×S₃×A₄	φ: C₆×A₄/C₃×A₄ → C₂ ⊆ Aut C₃	24	6	C3:(C6xA4)	216,166

Non-split extensions G=N.Q with N=C₃ and Q=C₆×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆×A₄) = A₄×C₁₈	central extension (φ=1)	54	3	C3.1(C6xA4)	216,103
C₃.₂(C₆×A₄) = C₆×C₃.A₄	central extension (φ=1)	54		C3.2(C6xA4)	216,105
C₃.₃(C₆×A₄) = C₂×C₉⋊A₄	central stem extension (φ=1)	54	3	C3.3(C6xA4)	216,104
C₃.₄(C₆×A₄) = C₂×C₃².A₄	central stem extension (φ=1)	18	3	C3.4(C6xA4)	216,106
C₃.₅(C₆×A₄) = C₂×C₃²⋊A₄	central stem extension (φ=1)	18	3	C3.5(C6xA4)	216,107

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