Extensions 1→N→G→Q→1 with N=Q₈.C₁₈ and Q=C₂

Direct product G=N×Q with N=Q₈.C₁₈ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈.C₁₈		144		C2xQ8.C18	288,347

Semidirect products G=N:Q with N=Q₈.C₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₁₈⋊₁C₂ = C₁₂.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.C₁₈	72	4+	Q8.C18:1C2	288,340
Q₈.C₁₈⋊₂C₂ = C₁₂.₁₁S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.C₁₈	144	4	Q8.C18:2C2	288,339
Q₈.C₁₈⋊₃C₂ = 2₊¹⁺⁴⋊C₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈.C₁₈	72	4	Q8.C18:3C2	288,348
Q₈.C₁₈⋊₄C₂ = 2_-¹⁺⁴⋊C₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈.C₁₈	144	4	Q8.C18:4C2	288,349

Non-split extensions G=N.Q with N=Q₈.C₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₁₈.₁C₂ = C₁₂.₃S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.C₁₈	144	4-	Q8.C18.1C2	288,338
Q₈.C₁₈.₂C₂ = C₁₂.₉S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.C₁₈	72	4	Q8.C18.2C2	288,70
Q₈.C₁₈.₃C₂ = Q₈.C₃₆	φ: trivial image	144	2	Q8.C18.3C2	288,77

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