Extensions 1→N→G→Q→1 with N=C₂₈ and Q=S₃

Direct product G=N×Q with N=C₂₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₂₈		84	2	S3xC28	168,30

Semidirect products G=N:Q with N=C₂₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈⋊₁S₃ = D₈₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂₈	84	2+	C28:1S3	168,36
C₂₈⋊₂S₃ = C₄×D₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₂₈	84	2	C28:2S3	168,35
C₂₈⋊₃S₃ = C₇×D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂₈	84	2	C28:3S3	168,31

Non-split extensions G=N.Q with N=C₂₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁S₃ = Dic₄₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂₈	168	2-	C28.1S3	168,34
C₂₈.₂S₃ = C₂₁⋊C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂₈	168	2	C28.2S3	168,5
C₂₈.₃S₃ = C₇×Dic₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂₈	168	2	C28.3S3	168,29
C₂₈.₄S₃ = C₇×C₃⋊C₈	central extension (φ=1)	168	2	C28.4S3	168,3

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