Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃xD₇

Direct product G=NxQ with N=C₂³ and Q=C₃xD₇

		d	ρ	Label	ID
D₇xC₂²xC₆		168		D7xC2^2xC6	336,225

Semidirect products G=N:Q with N=C₂³ and Q=C₃xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:(C₃xD₇) = C₂xA₄xD₇	φ: C₃xD₇/D₇ → C₃ ⊆ Aut C₂³	42	6+	C2^3:(C3xD7)	336,217
C₂³:₂(C₃xD₇) = C₆xC₇:D₄	φ: C₃xD₇/C₂₁ → C₂ ⊆ Aut C₂³	168		C2^3:2(C3xD7)	336,183

Non-split extensions G=N.Q with N=C₂³ and Q=C₃xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₃xD₇) = A₄xDic₇	φ: C₃xD₇/D₇ → C₃ ⊆ Aut C₂³	84	6-	C2^3.(C3xD7)	336,133
C₂³.₂(C₃xD₇) = C₃xC₂³.D₇	φ: C₃xD₇/C₂₁ → C₂ ⊆ Aut C₂³	168		C2^3.2(C3xD7)	336,73
C₂³.₃(C₃xD₇) = C₂xC₆xDic₇	central extension (φ=1)	336		C2^3.3(C3xD7)	336,182

Extensions 1→N→G→Q→1 with N=C23 and Q=C3xD7