Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₁₈

Direct product G=N×Q with N=D₁₂ and Q=C₁₈

		d	ρ	Label	ID
C₁₈×D₁₂		144		C18xD12	432,346

Semidirect products G=N:Q with N=D₁₂ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁C₁₈ = C₉×D₂₄	φ: C₁₈/C₉ → C₂ ⊆ Out D₁₂	144	2	D12:1C18	432,112
D₁₂⋊₂C₁₈ = C₉×D₄⋊S₃	φ: C₁₈/C₉ → C₂ ⊆ Out D₁₂	72	4	D12:2C18	432,150
D₁₂⋊₃C₁₈ = S₃×D₄×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out D₁₂	72	4	D12:3C18	432,358
D₁₂⋊₄C₁₈ = C₉×Q₈⋊₃S₃	φ: C₁₈/C₉ → C₂ ⊆ Out D₁₂	144	4	D12:4C18	432,367
D₁₂⋊₅C₁₈ = C₉×C₄○D₁₂	φ: trivial image	72	2	D12:5C18	432,347

Non-split extensions G=N.Q with N=D₁₂ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁C₁₈ = C₉×C₂₄⋊C₂	φ: C₁₈/C₉ → C₂ ⊆ Out D₁₂	144	2	D12.1C18	432,111
D₁₂.₂C₁₈ = C₉×Q₈⋊₂S₃	φ: C₁₈/C₉ → C₂ ⊆ Out D₁₂	144	4	D12.2C18	432,158

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