Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₃:S₃

Direct product G=NxQ with N=C₁₄ and Q=C₃:S₃

		d	ρ	Label	ID
C₁₄xC₃:S₃		126		C14xC3:S3	252,44

Semidirect products G=N:Q with N=C₁₄ and Q=C₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄:(C₃:S₃) = C₂xC₃:D₂₁	φ: C₃:S₃/C₃² → C₂ ⊆ Aut C₁₄	126		C14:(C3:S3)	252,45

Non-split extensions G=N.Q with N=C₁₄ and Q=C₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.(C₃:S₃) = C₃:Dic₂₁	φ: C₃:S₃/C₃² → C₂ ⊆ Aut C₁₄	252		C14.(C3:S3)	252,24
C₁₄.₂(C₃:S₃) = C₇xC₃:Dic₃	central extension (φ=1)	252		C14.2(C3:S3)	252,23

Extensions 1→N→G→Q→1 with N=C14 and Q=C3:S3