Extensions 1→N→G→Q→1 with N=C₇₄ and Q=S₃

Direct product G=N×Q with N=C₇₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₇₄		222	2	S3xC74	444,16

Semidirect products G=N:Q with N=C₇₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₄⋊S₃ = D₂₂₂	φ: S₃/C₃ → C₂ ⊆ Aut C₇₄	222	2+	C74:S3	444,17

Non-split extensions G=N.Q with N=C₇₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₄.S₃ = Dic₁₁₁	φ: S₃/C₃ → C₂ ⊆ Aut C₇₄	444	2-	C74.S3	444,5
C₇₄.₂S₃ = Dic₃×C₃₇	central extension (φ=1)	444	2	C74.2S3	444,3

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Extensions 1→N→G→Q→1 with N=C74 and Q=S3