Extensions 1→N→G→Q→1 with N=C₂³ and Q=S₃xC₇

Direct product G=NxQ with N=C₂³ and Q=S₃xC₇

		d	ρ	Label	ID
S₃xC₂²xC₁₄		168		S3xC2^2xC14	336,226

Semidirect products G=N:Q with N=C₂³ and Q=S₃xC₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:(S₃xC₇) = S₃xF₈	φ: S₃xC₇/S₃ → C₇ ⊆ Aut C₂³	24	14+	C2^3:(S3xC7)	336,211
C₂³:₂(S₃xC₇) = C₁₄xS₄	φ: S₃xC₇/C₇ → S₃ ⊆ Aut C₂³	42	3	C2^3:2(S3xC7)	336,214
C₂³:₃(S₃xC₇) = C₁₄xC₃:D₄	φ: S₃xC₇/C₂₁ → C₂ ⊆ Aut C₂³	168		C2^3:3(S3xC7)	336,193

Non-split extensions G=N.Q with N=C₂³ and Q=S₃xC₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(S₃xC₇) = C₇xA₄:C₄	φ: S₃xC₇/C₇ → S₃ ⊆ Aut C₂³	84	3	C2^3.(S3xC7)	336,117
C₂³.₂(S₃xC₇) = C₇xC₆.D₄	φ: S₃xC₇/C₂₁ → C₂ ⊆ Aut C₂³	168		C2^3.2(S3xC7)	336,89
C₂³.₃(S₃xC₇) = Dic₃xC₂xC₁₄	central extension (φ=1)	336		C2^3.3(S3xC7)	336,192

Extensions 1→N→G→Q→1 with N=C23 and Q=S3xC7