Extensions 1→N→G→Q→1 with N=C₄₄ and Q=S₃

Direct product G=N×Q with N=C₄₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₄₄		132	2	S3xC44	264,19

Semidirect products G=N:Q with N=C₄₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄⋊₁S₃ = D₁₃₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄₄	132	2+	C44:1S3	264,25
C₄₄⋊₂S₃ = C₄×D₃₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄₄	132	2	C44:2S3	264,24
C₄₄⋊₃S₃ = C₁₁×D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄₄	132	2	C44:3S3	264,20

Non-split extensions G=N.Q with N=C₄₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄.₁S₃ = Dic₆₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄₄	264	2-	C44.1S3	264,23
C₄₄.₂S₃ = C₃₃⋊C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄₄	264	2	C44.2S3	264,3
C₄₄.₃S₃ = C₁₁×Dic₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄₄	264	2	C44.3S3	264,18
C₄₄.₄S₃ = C₁₁×C₃⋊C₈	central extension (φ=1)	264	2	C44.4S3	264,1

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