Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₁₈

Direct product G=N×Q with N=C₁₄ and Q=C₁₈

		d	ρ	Label	ID
C₂×C₁₂₆		252		C2xC126	252,15

Semidirect products G=N:Q with N=C₁₄ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊C₁₈ = C₂×C₇⋊C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₁₄	126	6	C14:C18	252,7
C₁₄⋊₂C₁₈ = C₂²×C₇⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₁₄	252		C14:2C18	252,9
C₁₄⋊₃C₁₈ = D₇×C₁₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₁₄	126	2	C14:3C18	252,12

Non-split extensions G=N.Q with N=C₁₄ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.C₁₈ = C₇⋊C₃₆	φ: C₁₈/C₃ → C₆ ⊆ Aut C₁₄	252	6	C14.C18	252,1
C₁₄.₂C₁₈ = C₄×C₇⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₁₄	252	3	C14.2C18	252,2
C₁₄.₃C₁₈ = C₉×Dic₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₁₄	252	2	C14.3C18	252,4

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Extensions 1→N→G→Q→1 with N=C14 and Q=C18