Extensions 1→N→G→Q→1 with N=C₁₂.D₆ and Q=C₂

Direct product G=N×Q with N=C₁₂.D₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₂.D₆		144		C2xC12.D6	288,1008

Semidirect products G=N:Q with N=C₁₂.D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₂.D₆⋊₁C₂ = D₁₂.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	48	8-	C12.D6:1C2	288,575
C₁₂.D₆⋊₂C₂ = D₁₂.₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	48	8-	C12.D6:2C2	288,584
C₁₂.D₆⋊₃C₂ = C₂₄⋊₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	72		C12.D6:3C2	288,768
C₁₂.D₆⋊₄C₂ = C₂₄.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	144		C12.D6:4C2	288,769
C₁₂.D₆⋊₅C₂ = C₂₄.₄₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	144		C12.D6:5C2	288,773
C₁₂.D₆⋊₆C₂ = Dic₆.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	48	8-	C12.D6:6C2	288,957
C₁₂.D₆⋊₇C₂ = S₃×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	48	8-	C12.D6:7C2	288,959
C₁₂.D₆⋊₈C₂ = D₁₂⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	48	8-	C12.D6:8C2	288,961
C₁₂.D₆⋊₉C₂ = C₃²⋊₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	72		C12.D6:9C2	288,1009
C₁₂.D₆⋊₁₀C₂ = C₃²⋊₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	144		C12.D6:10C2	288,1015
C₁₂.D₆⋊₁₁C₂ = C₄○D₄×C₃⋊S₃	φ: trivial image	72		C12.D6:11C2	288,1013

Non-split extensions G=N.Q with N=C₁₂.D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₂.D₆.₁C₂ = C₃²⋊₆C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	48	8-	C12.D6.1C2	288,431
C₁₂.D₆.₂C₂ = Dic₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	48	8-	C12.D6.2C2	288,579
C₁₂.D₆.₃C₂ = C₂₄.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	144		C12.D6.3C2	288,772
C₁₂.D₆.₄C₂ = C₆².(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₆	48	8-	C12.D6.4C2	288,935

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