Extensions 1→N→G→Q→1 with N=C₂³.₆D₆ and Q=C₂

Direct product G=N×Q with N=C₂³.₆D₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₆D₆		48		C2xC2^3.6D6	192,513

Semidirect products G=N:Q with N=C₂³.₆D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₆D₆⋊₁C₂ = C₂³⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₆D₆	24	8+	C2^3.6D6:1C2	192,300
C₂³.₆D₆⋊₂C₂ = C₂³.₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₆D₆	48	8-	C2^3.6D6:2C2	192,301
C₂³.₆D₆⋊₃C₂ = C₂³⋊C₄⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₆D₆	48	8-	C2^3.6D6:3C2	192,299
C₂³.₆D₆⋊₄C₂ = S₃×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₆D₆	24	8+	C2^3.6D6:4C2	192,302
C₂³.₆D₆⋊₅C₂ = C₂⁴⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₆D₆	24	4	C2^3.6D6:5C2	192,591
C₂³.₆D₆⋊₆C₂ = C₂²⋊C₄⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₆D₆	48	4	C2^3.6D6:6C2	192,612
C₂³.₆D₆⋊₇C₂ = (C₂×D₁₂)⋊₁₃C₄	φ: trivial image	48	4	C2^3.6D6:7C2	192,565

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