Extensions 1→N→G→Q→1 with N=D₁₈ and Q=C₁₂

Direct product G=N×Q with N=D₁₈ and Q=C₁₂

		d	ρ	Label	ID
D₉×C₂×C₁₂		144		D9xC2xC12	432,342

Semidirect products G=N:Q with N=D₁₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈⋊C₁₂ = D₁₈⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Out D₁₈	72		D18:C12	432,147
D₁₈⋊₂C₁₂ = C₂×C₄×C₉⋊C₆	φ: C₁₂/C₄ → C₃ ⊆ Out D₁₈	72		D18:2C12	432,353
D₁₈⋊₃C₁₂ = C₃×D₁₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₈	144		D18:3C12	432,134

Non-split extensions G=N.Q with N=D₁₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈.C₁₂ = C₇₂⋊C₆	φ: C₁₂/C₂ → C₆ ⊆ Out D₁₈	72	6	D18.C12	432,121
D₁₈.₂C₁₂ = C₈×C₉⋊C₆	φ: C₁₂/C₄ → C₃ ⊆ Out D₁₈	72	6	D18.2C12	432,120
D₁₈.₃C₁₂ = C₃×C₈⋊D₉	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₈	144	2	D18.3C12	432,106
D₁₈.₄C₁₂ = D₉×C₂₄	φ: trivial image	144	2	D18.4C12	432,105

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