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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊A₄ = C₂×C₃²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₆	18	3	(C3xC6):A4	216,107

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).₁A₄ = Q₈⋊3_-¹⁺²	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₆	72	6	(C3xC6).1A4	216,41
(C₃×C₆).₂A₄ = Q₈⋊He₃	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₆	72	6	(C3xC6).2A4	216,42
(C₃×C₆).₃A₄ = C₂×C₃².A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₆	18	3	(C3xC6).3A4	216,106
(C₃×C₆).₄A₄ = C₃×Q₈⋊C₉	central extension (φ=1)	216		(C3xC6).4A4	216,40
(C₃×C₆).₅A₄ = C₆×C₃.A₄	central extension (φ=1)	54		(C3xC6).5A4	216,105
(C₃×C₆).₆A₄ = C₃²×SL₂(𝔽₃)	central extension (φ=1)	72		(C3xC6).6A4	216,134

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