Extensions 1→N→G→Q→1 with N=C₃×M₄(2) and Q=C₂

Direct product G=N×Q with N=C₃×M₄(2) and Q=C₂

		d	ρ	Label	ID
C₆×M₄(2)		48		C6xM4(2)	96,177

Semidirect products G=N:Q with N=C₃×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2))⋊₁C₂ = C₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	24	4+	(C3xM4(2)):1C2	96,115
(C₃×M₄(2))⋊₂C₂ = C₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	48	4-	(C3xM4(2)):2C2	96,116
(C₃×M₄(2))⋊₃C₂ = C₃×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	24	4	(C3xM4(2)):3C2	96,183
(C₃×M₄(2))⋊₄C₂ = C₃×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):4C2	96,184
(C₃×M₄(2))⋊₅C₂ = S₃×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	24	4	(C3xM4(2)):5C2	96,113
(C₃×M₄(2))⋊₆C₂ = D₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)):6C2	96,114
(C₃×M₄(2))⋊₇C₂ = C₁₂.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	24	4+	(C3xM4(2)):7C2	96,30
(C₃×M₄(2))⋊₈C₂ = D₁₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	24	4	(C3xM4(2)):8C2	96,32
(C₃×M₄(2))⋊₉C₂ = C₃×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	24	4	(C3xM4(2)):9C2	96,50
(C₃×M₄(2))⋊₁₀C₂ = C₃×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	24	2	(C3xM4(2)):10C2	96,54
(C₃×M₄(2))⋊₁₁C₂ = C₃×C₈○D₄	φ: trivial image	48	2	(C3xM4(2)):11C2	96,178

Non-split extensions G=N.Q with N=C₃×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2)).₁C₂ = C₁₂.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).1C2	96,29
(C₃×M₄(2)).₂C₂ = C₁₂.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	48	4-	(C3xM4(2)).2C2	96,31
(C₃×M₄(2)).₃C₂ = C₃×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	48	4	(C3xM4(2)).3C2	96,51
(C₃×M₄(2)).₄C₂ = C₃×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×M₄(2)	48	2	(C3xM4(2)).4C2	96,58

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