Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂×C₆

Direct product G=N×Q with N=D₆ and Q=C₂×C₆

		d	ρ	Label	ID
S₃×C₂²×C₆		48		S3xC2^2xC6	144,195

Semidirect products G=N:Q with N=D₆ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×C₆) = C₆×D₁₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₆	48		D6:1(C2xC6)	144,160
D₆⋊₂(C₂×C₆) = C₃×S₃×D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₆	24	4	D6:2(C2xC6)	144,162
D₆⋊₃(C₂×C₆) = C₆×C₃⋊D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₆	24		D6:3(C2xC6)	144,167

Non-split extensions G=N.Q with N=D₆ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×C₆) = C₃×C₄○D₁₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₆	24	2	D6.1(C2xC6)	144,161
D₆.₂(C₂×C₆) = C₃×D₄⋊₂S₃	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₆	24	4	D6.2(C2xC6)	144,163
D₆.₃(C₂×C₆) = C₃×Q₈⋊₃S₃	φ: C₂×C₆/C₆ → C₂ ⊆ Out D₆	48	4	D6.3(C2xC6)	144,165
D₆.₄(C₂×C₆) = S₃×C₂×C₁₂	φ: trivial image	48		D6.4(C2xC6)	144,159
D₆.₅(C₂×C₆) = C₃×S₃×Q₈	φ: trivial image	48	4	D6.5(C2xC6)	144,164

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