Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂×C₁₈

Direct product G=N×Q with N=Dic₃ and Q=C₂×C₁₈

		d	ρ	Label	ID
Dic₃×C₂×C₁₈		144		Dic3xC2xC18	432,373

Semidirect products G=N:Q with N=Dic₃ and Q=C₂×C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂×C₁₈) = S₃×D₄×C₉	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Dic₃	72	4	Dic3:1(C2xC18)	432,358
Dic₃⋊₂(C₂×C₁₈) = C₁₈×C₃⋊D₄	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Dic₃	72		Dic3:2(C2xC18)	432,375
Dic₃⋊₃(C₂×C₁₈) = S₃×C₂×C₃₆	φ: trivial image	144		Dic3:3(C2xC18)	432,345

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂×C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×C₁₈) = C₁₈×Dic₆	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Dic₃	144		Dic3.1(C2xC18)	432,341
Dic₃.₂(C₂×C₁₈) = C₉×C₄○D₁₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Dic₃	72	2	Dic3.2(C2xC18)	432,347
Dic₃.₃(C₂×C₁₈) = C₉×D₄⋊₂S₃	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Dic₃	72	4	Dic3.3(C2xC18)	432,359
Dic₃.₄(C₂×C₁₈) = S₃×Q₈×C₉	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Out Dic₃	144	4	Dic3.4(C2xC18)	432,366
Dic₃.₅(C₂×C₁₈) = C₉×Q₈⋊₃S₃	φ: trivial image	144	4	Dic3.5(C2xC18)	432,367

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