Extensions 1→N→G→Q→1 with N=C₁₈ and Q=A₄

Direct product G=N×Q with N=C₁₈ and Q=A₄

		d	ρ	Label	ID
A₄×C₁₈		54	3	A4xC18	216,103

Semidirect products G=N:Q with N=C₁₈ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊A₄ = C₂×C₉⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₁₈	54	3	C18:A4	216,104

Non-split extensions G=N.Q with N=C₁₈ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.A₄ = C₁₈.A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₁₈	72	6	C18.A4	216,39
C₁₈.₂A₄ = Q₈⋊C₂₇	central extension (φ=1)	216	2	C18.2A4	216,3
C₁₈.₃A₄ = C₂×C₉.A₄	central extension (φ=1)	54	3	C18.3A4	216,22
C₁₈.₄A₄ = C₉×SL₂(𝔽₃)	central extension (φ=1)	72	2	C18.4A4	216,38

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Extensions 1→N→G→Q→1 with N=C18 and Q=A4