Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂×C₁₈

Direct product G=N×Q with N=D₆ and Q=C₂×C₁₈

		d	ρ	Label	ID
S₃×C₂²×C₁₈		144		S3xC2^2xC18	432,557

Semidirect products G=N:Q with N=D₆ and Q=C₂×C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×C₁₈) = C₁₈×D₁₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out D₆	144		D6:1(C2xC18)	432,346
D₆⋊₂(C₂×C₁₈) = S₃×D₄×C₉	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out D₆	72	4	D6:2(C2xC18)	432,358
D₆⋊₃(C₂×C₁₈) = C₁₈×C₃⋊D₄	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out D₆	72		D6:3(C2xC18)	432,375

Non-split extensions G=N.Q with N=D₆ and Q=C₂×C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×C₁₈) = C₉×C₄○D₁₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out D₆	72	2	D6.1(C2xC18)	432,347
D₆.₂(C₂×C₁₈) = C₉×D₄⋊₂S₃	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out D₆	72	4	D6.2(C2xC18)	432,359
D₆.₃(C₂×C₁₈) = C₉×Q₈⋊₃S₃	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out D₆	144	4	D6.3(C2xC18)	432,367
D₆.₄(C₂×C₁₈) = S₃×C₂×C₃₆	φ: trivial image	144		D6.4(C2xC18)	432,345
D₆.₅(C₂×C₁₈) = S₃×Q₈×C₉	φ: trivial image	144	4	D6.5(C2xC18)	432,366

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