Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄×C₁₈

Direct product G=N×Q with N=C₃ and Q=D₄×C₁₈

		d	ρ	Label	ID
D₄×C₃×C₁₈		216		D4xC3xC18	432,403

Semidirect products G=N:Q with N=C₃ and Q=D₄×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄×C₁₈) = C₁₈×D₁₂	φ: D₄×C₁₈/C₂×C₃₆ → C₂ ⊆ Aut C₃	144		C3:1(D4xC18)	432,346
C₃⋊₂(D₄×C₁₈) = S₃×D₄×C₉	φ: D₄×C₁₈/D₄×C₉ → C₂ ⊆ Aut C₃	72	4	C3:2(D4xC18)	432,358
C₃⋊₃(D₄×C₁₈) = C₁₈×C₃⋊D₄	φ: D₄×C₁₈/C₂²×C₁₈ → C₂ ⊆ Aut C₃	72		C3:3(D4xC18)	432,375

Non-split extensions G=N.Q with N=C₃ and Q=D₄×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄×C₁₈) = D₄×C₅₄	central extension (φ=1)	216		C3.(D4xC18)	432,54

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Extensions 1→N→G→Q→1 with N=C3 and Q=D4×C18