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

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

		d	ρ	Label	ID
Q₈×C₁₈		144		Q8xC18	144,49

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊Q₈ = C₂×Dic₁₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₈	144		C18:Q8	144,37

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

extension	φ:Q→Aut N	d	Label	ID
C₁₈.₁Q₈ = Dic₉⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₈	144	C18.1Q8	144,12
C₁₈.₂Q₈ = C₄⋊Dic₉	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₈	144	C18.2Q8	144,13
C₁₈.₃Q₈ = C₉×C₄⋊C₄	central extension (φ=1)	144	C18.3Q8	144,22

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