Extensions 1→N→G→Q→1 with N=C₂×C₃.A₄ and Q=C₆

Direct product G=N×Q with N=C₂×C₃.A₄ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×C₃.A₄		108		C2xC6xC3.A4	432,548

Semidirect products G=N:Q with N=C₂×C₃.A₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.A₄)⋊C₆ = C₂×C₃².S₄	φ: C₆/C₁ → C₆ ⊆ Out C₂×C₃.A₄	18	6+	(C2xC3.A4):C6	432,533
(C₂×C₃.A₄)⋊₂C₆ = C₂²×C₉⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂×C₃.A₄	108		(C2xC3.A4):2C6	432,547
(C₂×C₃.A₄)⋊₃C₆ = C₂²×C₃².A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂×C₃.A₄	36		(C2xC3.A4):3C6	432,549
(C₂×C₃.A₄)⋊₄C₆ = C₆×C₃.S₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×C₃.A₄	36	6	(C2xC3.A4):4C6	432,534
(C₂×C₃.A₄)⋊₅C₆ = A₄×C₂×C₁₈	φ: trivial image	108		(C2xC3.A4):5C6	432,546

Non-split extensions G=N.Q with N=C₂×C₃.A₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.A₄).C₆ = C₆².Dic₃	φ: C₆/C₁ → C₆ ⊆ Out C₂×C₃.A₄	36	6-	(C2xC3.A4).C6	432,249
(C₂×C₃.A₄).₂C₆ = C₄×C₉⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂×C₃.A₄	108	3	(C2xC3.A4).2C6	432,326
(C₂×C₃.A₄).₃C₆ = C₄×C₃².A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂×C₃.A₄	36	3	(C2xC3.A4).3C6	432,332
(C₂×C₃.A₄).₄C₆ = C₃×C₆.S₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×C₃.A₄	36	6	(C2xC3.A4).4C6	432,250
(C₂×C₃.A₄).₅C₆ = A₄×C₃₆	φ: trivial image	108	3	(C2xC3.A4).5C6	432,325
(C₂×C₃.A₄).₆C₆ = C₁₂×C₃.A₄	φ: trivial image	108		(C2xC3.A4).6C6	432,331

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