Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=A₄

Direct product G=N×Q with N=C₂×C₆ and Q=A₄

		d	ρ	Label	ID
A₄×C₂×C₆		36		A4xC2xC6	144,193

Semidirect products G=N:Q with N=C₂×C₆ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊A₄ = C₃×C₂²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₆	36		(C2xC6):A4	144,194

Non-split extensions G=N.Q with N=C₂×C₆ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁A₄ = C₄²⋊C₉	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₆	36	3	(C2xC6).1A4	144,3
(C₂×C₆).₂A₄ = C₃×C₄²⋊C₃	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₆	36	3	(C2xC6).2A4	144,68
(C₂×C₆).₃A₄ = C₂⁴⋊C₉	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₆	36		(C2xC6).3A4	144,111
(C₂×C₆).₄A₄ = C₂×Q₈⋊C₉	central extension (φ=1)	144		(C2xC6).4A4	144,35
(C₂×C₆).₅A₄ = C₂²×C₃.A₄	central extension (φ=1)	36		(C2xC6).5A4	144,110
(C₂×C₆).₆A₄ = C₆×SL₂(𝔽₃)	central extension (φ=1)	48		(C2xC6).6A4	144,156

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