Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₃×C₁₈

Direct product G=N×Q with N=C₂×C₄ and Q=C₃×C₁₈

		d	ρ	Label	ID
C₂×C₆×C₃₆		432		C2xC6xC36	432,400

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₃×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁(C₃×C₁₈) = C₂²⋊C₄×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	216		(C2xC4):1(C3xC18)	432,203
(C₂×C₄)⋊₂(C₃×C₁₈) = D₄×C₃×C₁₈	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	216		(C2xC4):2(C3xC18)	432,403
(C₂×C₄)⋊₃(C₃×C₁₈) = C₄○D₄×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	216		(C2xC4):3(C3xC18)	432,409

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₃×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁(C₃×C₁₈) = C₄⋊C₄×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	432		(C2xC4).1(C3xC18)	432,206
(C₂×C₄).₂(C₃×C₁₈) = M₄(2)×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	216		(C2xC4).2(C3xC18)	432,212
(C₂×C₄).₃(C₃×C₁₈) = Q₈×C₃×C₁₈	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₂×C₄	432		(C2xC4).3(C3xC18)	432,406

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